Introduction

Advanced Antivibration Components (AAC) specializes in products for vibration elimination, energy absorption, and shock protection. The catalog offers a wide range of antivibration products, organized for easy selection and immediate availability.

Unique Features of This Catalog

• The catalog has expanded significantly since 1971, now including extensive technical sections and a broad range of products.
• Feedback from engineering and marketing departments has led to the inclusion of a detailed technical section.
• Products such as shock absorbers and shaft couplings are available for immediate delivery.
• Custom orders are supported with special tooling and low setup charges for prototypes.

Sales Conditions

• Minimum order requirements are $50 for domestic and $85 for international orders, with additional charges for special handling.
• Open account orders are available for customers with satisfactory credit ratings; otherwise, credit card or C.O.D. terms apply.
• Returns require prior approval and must be made within 15 days, with restocking charges applicable.

Product Sections

• Stud & Nut Type Mounts: Various designs for different applications.
• Base Plate Fastened Mounts: Includes base-flange and base-cylindrical types.
• Wheels, Leveling & Foot Mounts: Options for leveling and mobility.
• Suspension Mounts: Includes spring and rubber suspension types.
• Spring, Steel Mesh & Cable Mounts: Various spring designs for different damping needs.
• Bumpers, Shock Absorbers & Channel Mounts: For impact protection and vibration isolation.
• Bushings & Grommets: Includes vinyl elastomer grommets and various bushing types.
• Pads & Tapes: Includes ISO-Pad sheets and silicone gel tapes.
• Couplings: Various types including jaw, spider, and geargrip couplings.

Technical Section

• Vibration and Shock Isolation: Detailed theoretical knowledge and solved problems.
• Shaft Couplings: Technical insights into coupling designs and applications.

Specifications and Performance Data

The document provides technical specifications and performance data for various cylindrical mounts used for vibration isolation. These mounts handle different compression and shear loads, with specific materials and dimensions outlined for each type.

• Compression Loads: Ranges from 56 to 330 pounds (25.4 to 149.7 kgf) depending on the model.
• Shear Loads: Ranges from 32 to 140 pounds (14.5 to 63.5 kgf).
• Materials: Fasteners are made of steel, zinc-plated, and isolators are made of natural rubber.
• Dimensions: Provided in both inches and millimeters for various models.

Performance Data:

• Load deflection graphs are provided for both compression and shear loads, indicating safe practices for static loads and guidelines for dynamic load calculations.
• Minimum load for 81% isolation is specified across different forcing frequencies, ensuring optimal performance.

Recommendations:

• Deflections below the line x-x on the graphs are considered safe for static loads, while data above are useful for dynamic load calculations.
• Ensure that the maximum unthreaded portion of the stud does not exceed 1.59 mm (0.06 in).

Additional Notes:

• Catalog numbers are provided for each mount type, facilitating easy reference and ordering.
• Forcing frequency data is crucial for determining the minimum load required for effective vibration isolation.

Applications and Installation Procedures

The document discusses the technical specifications and applications of various mounts designed for different load capacities. These mounts are used to isolate vibrations in mechanical systems and are made from materials such as steel and natural rubber or neoprene.

• Specifications: Fasteners are made of zinc-plated steel, and isolators are made of natural rubber or neoprene.
• Load Capacities: The mounts are categorized based on their load capacities, ranging from 8 to 210 pounds (3.6 to 95.3 kgf) for compression loads and 2 to 67 pounds (0.9 to 30 kgf) for shear loads.
• Dimensions: Provided in both metric and inch units, with specific dimensions for each mount type.

Load Deflection Graphs: The document includes graphs showing the relationship between load and deflection for both compression and shear loads. Deflections below a certain line are considered safe for static loads, while data above the line are used for dynamic load calculations.

Performance Recommendations:

• Forcing frequencies are specified for each mount type, with a note that lesser loads at these frequencies will yield less than 81% isolation.
• Specific catalog numbers are provided for each mount type, indicating their load capacities and dimensions.

Applications: These mounts are suitable for applications requiring vibration isolation in various mechanical systems. The document emphasizes the importance of selecting the appropriate mount based on load requirements and environmental conditions.

Specifications and Features of Vibration Mounts

The document details various types of vibration mounts designed for controlling vibrations of 600 cycles per minute (cpm) or higher. These mounts are suitable for oscillating motions and can be installed in small areas due to their narrow width. The materials used include mild steel for mounting plates and natural rubber for isolators.

• Features: Compared to circular rubber mounts, these mounts offer higher stiffness in the horizontal direction and better stability, making them ideal for rotating machines that generate horizontal vibrating forces. They are easy to install, and the spring rate can be adjusted by changing the mounting positions. For mounts with a base plate, a rubber pad is included to allow placement on the floor.
• Applications: The mounts are applicable for air compressors, machine tools, vibration screens, sieves, horizontal centrifugal separators, and high-speed diesel engines.
• Load and Deflection: The document includes load deflection graphs and data for various mounts, indicating safe practices for static loads and guidelines for dynamic loads. The mounts are designed for standard loads ranging from 4 to 900 kgf (9 to 1980 lb.).
• Technical Data: Technical specifications are provided in both metric and imperial units, detailing dimensions, load ranges, and stiffness ratios. The mounts are made from natural rubber with a hardness of 45 durometer.
• Installation Procedures: Instructions for installing the mounts include raising the machine, placing the mounts beneath the machine feet, attaching leveling bolts, and ensuring the total weight is carried by all mounts. Leveling is achieved through gradual adjustment of the bolts.
• Vibration Transmissibility: The document provides charts for vibration transmissibility, showing the relationship between transmissibility, frequency ratio, and damping ratio. It highlights the importance of achieving 81% vibration absorption for satisfactory isolation.
• Leveling Mounts: Leveling mounts are available for loads up to 2500 lbs. (1134 kgf) and are made from cast iron with oil-resistant neoprene isolators. They offer a leveling capability of up to 5/8 in. (15.9 mm) and do not require bolting to the floor.
• Corrosive Environment Mounts: For corrosive environments, mounts with stainless steel mesh are available, suitable for loads of 100 to 10000 pounds. These mounts provide excellent damping characteristics unaffected by contaminants.

Leveling Mounts

Leveling mounts are designed to support loads ranging from 100 to 12,000 pounds (45.4 to 5443.1 kgf). They feature high-strength steel housing and a neoprene elastomer base that controls deflections under vibration and shock loads. The mounts ensure stability and prevent mechanical wear, allowing machines to remain portable without damaging the floor.

Iso-Pad Type Leveling Mounts

These mounts support loads from 200 to 4000 pounds (90.7 to 1814.4 kgf) and are made from Iso-Pad material with a casting base and heat-treated bolts. They are recommended for impact machinery and offer various bolt and mount sizes.

Conical Type Leveling Mounts

These mounts isolate impacts and structural noise, preventing machine pivoting. They are made from natural rubber and steel, suitable for loads up to 1500 N (337 lb.).

Carry Mounts

Carry mounts are moveable mounts with a rubber mount and rotating ball, allowing easy movement and vibration-free installations. They are compact, stable, and suitable for shop machines, office equipment, and medical instruments.

Suspension Mounts

Spring-type suspension mounts are designed for machinery suspension with a lateral to axial stiffness ratio of 0.8 to 1. They are made from DIN 17223-C spring material and carbon steel, suitable for various load capacities.

Cable Isolators

Cable isolators are made from stainless steel cable and provide protection in compression, extension, shear, and roll. They are corrosion-resistant and suitable for shipboard electronics, over-the-road vehicles, shipping containers, and more.

Spring Mounts – Elliptic Leaf Type

These mounts are designed for shipboard or mobile applications, providing protection from shock due to underwater explosions or sudden vehicle stoppage. They feature high tensile stainless steel leaves and a polymer or stainless steel mesh for damping efficiency.

Introduction

The document discusses the technical specifications and applications of "X" Mounts, which are designed for improved vibration performance at low temperatures and lower natural frequency at room temperatures. This design helps avoid the need for additional components like rubber washers, which can increase system transmissibility at resonance.

Specifications

The "X" Mounts are made from 304 stainless steel with nylon and stainless steel washers, and a polymer damping compound. They are designed to withstand extreme temperatures ranging from -238°F to +752°F (-150°C to +400°C).

Installation Guidelines

Proper loading of "X" Mounts is crucial for effective shock protection. Incorrect loading can lead to inadequate protection. It is advised to avoid using the space around the mounts for storage as it can compromise their effectiveness.

Preferred Systems

Mounts should ideally support the system from underneath with the center of gravity in the lower third. If this is not possible, a fully suspended method should be used. Combining units on one raft is recommended for operator-controlled equipment.

Orientation

The horizontal roll axis should be aligned fore and aft to minimize movement due to ship roll, although any orientation is acceptable for shock protection.

Applications

Typical applications include heavy machine tools, air compressors, engine suspension, laboratory equipment, and military vehicles, among others.

Performance and Characteristics

The document includes detailed tables and graphs showing the performance characteristics of various mount models, including load capacities, stiffness, and natural frequencies. The mounts are designed to handle loads ranging from 20 to 1200 pounds and are suitable for both industrial and marine applications.

Conclusion

The "X" Mounts offer a robust solution for vibration isolation across a wide range of applications, providing durability and efficiency in extreme environmental conditions.

Cable Isolators Overview

Advanced Antivibration Components offers a range of cable isolators designed for various cable diameters, including 3/16", 1/4", 3/8", 1/2", 5/8", and 7/8". These isolators provide isolation protection in all axes, resist corrosion, and are maintenance-free. The materials used include stainless steel cables (MIL-W-83420 or RR-W-410 D-1), aluminum alloy retaining bars (6061-T6; Iridited MIL-C-5541), and stainless or alloy steel retaining screws.

Specifications and Features

• Isolation protection in all axes
• Corrosion resistance
• Maintenance-free design
• Material specifications: Stainless steel cables, aluminum alloy retaining bars, and stainless or alloy steel retaining screws

Technical Data

Each cable diameter has specific catalog numbers and dimensions, with detailed specifications on spring rates, maximum deflection, and mounting hole configurations. The document provides measurements in both inches and millimeters.

Energy Absorbing Products

The document introduces energy-absorbing products within the antivibration product line. These components are used to absorb energy in systems or as safety measures. The document explains the concepts of potential and kinetic energy, providing formulas for calculating energy in translation and rotation.

Formulas and Calculations

• Kinetic Energy: E = 0.5 * m * V^2
• Potential Energy: E = W * h
• Energy in rotation: E = Io * ω^2

Examples are provided to illustrate the application of these formulas in practical scenarios, including free-falling weights and motor-driven weights.

Graphical Data

The document includes a Force vs. Travel curve graph, comparing performance characteristics of different bumper types. This visual aid helps in selecting the appropriate bumper based on force and travel requirements.

Contact Information

For special orders or additional information, contact the Engineering Department at Advanced Antivibration Components via phone or fax.

Technical Document Summary

1. Specifications and Formulas

This section provides various formulas used to calculate energy, velocity, and weight-related parameters in mechanical systems. Key formulas include:

• E1 = (W)•(H-S)
• E2 = (W)•(S)
• E3 = (W)•(H)
• E4 = (E3)•(C)
• V = 5•(H-S)
• WE = (W)•(H)

These formulas are used to determine energy in pound-inches, velocity in feet per second, and weight in pounds.

2. Examples

Several examples illustrate the application of these formulas. For instance, a weight of 900 lb with a height of 20 in and a stroke of 4 in results in an energy calculation of E1 = 14,400 lb. in. and E4 = 1,800,000 lb. in./hour.

3. Bumper Technical Information

This section discusses the technical specifications of bumpers, including:

• Material: High-Performance Elastomer-Polyester
• Operating Temperature Range: -40°F to +120°F (-40°C to +48.9°C)
• Energy Capacity and Maximum Force for various catalog numbers

It also includes dimensions such as base diameter, loaded height, and mounting hole size.

4. Shock Absorber Features

Shock absorbers are designed for double energy absorption and smooth damping. Key features include:

• Energy absorption up to three times conventional absorbers
• Longer service life due to reserve oil storage
• Constant damping action over the stroke
• Adjustability through threaded housing rotation

These components are made from high-quality materials, ensuring durability and reliability.

5. Stroke Control

The document describes stroke control mechanisms for shock absorbers, allowing for precise adjustment of damping within a narrow range. This feature enhances the braking action by reducing the stroke.

6. Additional Information

Includes details on various bumper types (axial, radial, conical) and their specifications, such as load capacity and material composition. The document also highlights the availability of substantial quantity discounts for all products.

Shock Absorbers Overview

Material and Construction:

The shock absorbers are constructed with a steel housing that is hardened, ground, and nickel-plated. They feature double energy absorption, smooth damping, reserve oil, and helical groove technology.

Specifications:

• Stroke Lengths: Vary from 8 mm (0.3 in.) to 50 mm (1.97 in.).
• Piston Reset Time: Ranges from 0.2 sec to 1 sec.
• Resetting Force: Minimum resetting force ranges from 6 N (1.35 lbf) to 60 N (13.49 lbf), and maximum resetting force ranges from 12 N (2.70 lbf) to 90 N (20.23 lbf).
• Weight: Varies from 0.02 kg (0.71 oz.) to 2 kg (70.5 oz.).

Performance Metrics:

• Max Energy Absorption per Stroke: Ranges from 16,000 J (141,600 lbf•in) to 190,000 J (1,681,500 lbf•in).
• Max Energy Absorption per Hour: Ranges from 0.2 J (0.66 lbf•in/h) to 150,000 J (330,690 lbf•in/h).
• Impact Speed: Minimum impact speed ranges from 0.2 m/s (0.66 ft/s) to 1.4 m/s (4.59 ft/s), and maximum impact speed ranges from 0.6 m/s (1.97 ft/s) to 3.5 m/s (11.48 ft/s).

Accessories:

• Heads: Available in steel and steel with plastic inserts.
• Shaft Support/Dirt Seal: Made of steel.
• Stop Sleeves: Made of vanadium steel alloy.
• Cooler Nut: Made of aluminum.

Notes:

Dimensions are provided in both metric and inch units. The symbol '∆SW' indicates dimensions across flats.

Specifications:

The document provides detailed specifications for various shock absorbers and vibration mounts, including dimensions, materials, and load capacities. Key components include steel heads, plastic inserts, and specific dimensions for mounting and installation.

Technical Information:

The document outlines formulas and calculation examples for shock absorbers, covering kinetic energy, propelling force, and total energy per stroke. It includes examples for different scenarios such as free-falling mass, mass on a conveyor belt, and mass with motor drive.

Formulas and Examples:

Several formulas are provided for calculating energy and effective mass in different contexts, such as free-falling mass, mass on an incline, and swinging mass with propelling force. Each formula is accompanied by a practical example to illustrate its application.

Vibration Isolation Application:

The document includes a section for determining shock and vibration requirements, with fields for equipment description, excitation source, and preferred damping material. It also provides guidance on choosing vibration isolators based on operating conditions.

Finger-Flex Mounts:

Details on Finger-Flex mounts are provided, including typical installation arrangements and load capacities. The mounts are suitable for various equipment types and can be installed in parallel or series to meet specific requirements. Load support deflection and natural frequency data are included for different load ranges.

Tables and Figures:

The document contains tables and figures illustrating load support deflection, natural frequency, and maximum load capacities for different Finger-Flex mount models. These visual aids help in understanding the performance characteristics of the mounts.

Overview:

This document provides detailed specifications and features of various types of flexible couplings used in mechanical systems. The couplings are designed to accommodate misalignment, dampen vibrations, and isolate electrical currents. The document includes specifications for spline, spider, jaw, geargrip, and 'K' type couplings.

Specifications:

• Materials: Hubs are made from zinc alloy, aluminum, or steel, while the flexible elements are made from polyurethane, Hytrel, or NBR rubber.
• Temperature Range: Varies by material, with Hytrel operating from -30°C to +100°C and polyurethane from -20°C to +60°C.
• Torque Ratings: Different couplings have varying torque capacities, with some rated up to 4.5 N•m (39.8 lb. in.).
• Misalignment Compensation: Maximum angular offset is typically 1° to 2°, with lateral offsets ranging from 0.2 mm to 0.38 mm.

Features:

• High RPM capability, with some couplings rated up to 24,000 RPM.
• Electrically isolated to prevent current transfer between connected shafts.
• Shock and vibration damping to protect connected equipment.
• Blind assembly and no lubrication required for ease of maintenance.

Types of Couplings:

• Spline Type: Available with Hytrel or polyurethane splines, suitable for high-torque and high-temperature applications.
• Spider Type: Features preloaded rubber spiders and split hubs, available in various durometers for different flexibility needs.
• Jaw Type: Made from sintered iron and NBR rubber, designed for moderate torque applications.
• Geargrip Type: Neoprene sleeves with zinc alloy hubs, designed for no lubrication and electrical isolation.
• 'K' Type: Features a unique polyurethane element for maximum flexibility and strength, with zinc-plated steel hubs.

Recommendations: Select the appropriate coupling type based on the specific application requirements, considering factors such as torque, temperature range, and misalignment compensation. Ensure compatibility with shaft sizes and operating conditions.

Specifications:

The document outlines specifications for flexible one-piece couplings made from steel hubs and Buna Nitrile Rubber sleeves. These couplings are designed to isolate vibration up to 85% and provide electrical insulation. They have a capacity rating of 1/20 hp at 1725 rpm or 30 oz. in. (0.21 N•m). Misalignment compensation includes a maximum angular offset of 1-1/2° and a maximum lateral offset of 0.010 inches (0.25 mm).

Procedures:

The document provides detailed procedures for understanding and managing vibration and shock in mechanical systems. It explains the fundamentals of vibration, damping, shock, and noise, and outlines principles for vibration isolation and noise reduction.

Standards and Recommendations:

Key recommendations include the use of isolators to manage shock and vibration, with emphasis on the importance of damping to reduce energy dissipation. The document also discusses the importance of understanding the natural frequency of systems for effective vibration isolation.

Technical Analysis:

The technical section delves into the fundamentals of vibration and shock, providing definitions and concepts essential for analysis. It covers kinematic characteristics, rigid-body characteristics, and damping, among others. The document also includes a section on nonlinearities and multidegree of freedom systems.

Data and Figures:

The document includes figures illustrating free vibrations of a simple vibratory system and the response of systems to rectangular pulses. It also provides tables with sound pressure levels in decibels for various noise sources.

Critical Information:

Critical information includes the capacity ratings of the couplings, the maximum allowable misalignment, and the principles of vibration isolation. The document emphasizes the importance of isolators in reducing the transmission of vibration and shock.

Vibration Isolation Principles

Vibration isolation is crucial for protecting delicate measuring instruments and precision equipment from floor vibrations and other disturbances. The isolators, which are resilient elements, act as time delays and temporary energy storage, reducing the force or motion disturbance transmitted to the equipment. Proper design is essential to ensure effective isolation, as poorly designed systems can exacerbate vibrations.

In addition to their primary function, vibration mounts can also dissipate energy through damping, which is vital for reducing vibrations at resonance frequencies. Damping helps alleviate vibration buildup, especially when equipment operates near or passes through resonant speeds.

Noise Reduction Techniques

Vibration isolation systems also play a role in noise reduction by preventing the transmission of vibrations that cause noise. Identifying noise sources and frequencies is essential for designing effective vibration isolators that act as barriers to sound transmission.

Basic Definitions and Concepts

• Kinematic Characteristics: Includes definitions of coordinate, displacement, velocity, acceleration, and vibratory motion. Simple vibratory motion is described by sinusoidal functions, with amplitude and frequency as key parameters.
• Rigid-Body Characteristics: Covers mass, center of gravity, moment of inertia, and principal axes of inertia, which are essential for understanding the dynamics of rigid bodies.
• Spring and Compliance Characteristics: Discusses tension, compression, shear, spring constant, force-deflection characteristics, energy storage, preload, and material properties like Young's modulus and shear modulus.
• Damping and Friction: Explains static friction, sliding friction, and Coulomb friction, which are important for understanding energy dissipation in mechanical systems.

Sound and Noise Levels

Tables provide sound pressure levels from various noise sources and industrial operations, highlighting the importance of noise management in industrial settings.

Friction and Damping: The document discusses different types of friction and damping mechanisms. It highlights that the coefficient of friction varies with motion velocity unless it is dry or Coulomb friction. Viscous damping is proportional to the relative velocity between two bodies, with the damping force calculated using the coefficient of viscous damping. Material or hysteretic damping depends on vibration amplitudes and is more efficient at high frequencies compared to viscous damping.

Vibration Characteristics: The document explains the mathematical modeling of mechanical systems using rigid masses, springs, and dampers. It distinguishes between lumped-parameter and distributed-parameter systems, with the latter being more realistic but complex. Degrees of freedom are defined as the number of independent quantities needed to describe a system's position. The document also covers force and motion excitation, free and forced vibrations, and random vibrations.

Natural Frequency: The natural frequency of a system is determined by its mass and stiffness distribution. It can be altered by changing these properties. The document provides formulas for calculating natural frequency and discusses the impact of damping on it. Resonance occurs when the forcing frequency matches the natural frequency, leading to increased displacement and stress levels.

Vibration Isolation: Two main techniques for vibration isolation are discussed: reducing transmission of vibratory forces from the object to the base and reducing transmission of base motions to vibration-sensitive objects. The document explains force and motion transmissibility and the impact of damping on isolation efficiency. It emphasizes the importance of designing isolation systems considering damping effects and provides examples of transmissibility curves.

Vibration Isolation and Shock Absorption Overview

1. Vibration Isolation

The document discusses the principles of vibration isolation, focusing on the relationship between static deflection, frequency, and vibration isolation efficiency. It provides a basic vibration chart that helps in selecting appropriate vibration isolators or mounts. The chart illustrates static deflection versus frequency and the percentage of vibration isolation, which is crucial for calculating and selecting vibration isolators.

2. Vibration Absorption

Table 2 presents data on vibration absorption percentages at different frequency ratios, indicating the effectiveness of various isolators. The table shows that higher frequency ratios result in better vibration absorption, with percentages ranging from 98.9% to 0% (resonance).

3. Vibration Isolation of Sensitive Objects

This section explains the dynamics of vibration-sensitive objects, emphasizing the importance of considering the object's dynamic characteristics. A model is provided to illustrate how floor vibrations are transmitted through isolators to the object's frame, affecting its work zone. The transmissibility of vibrations is analyzed, and the document suggests that successful isolation requires proper selection of natural frequency and damping.

4. Shock Isolation

The document outlines the effectiveness of shock isolators and the acceleration experienced by equipment during shocks. It provides equations to calculate displacement and acceleration during shock events. The maximum acceleration is directly proportional to the velocity change and the natural frequency of the isolator. Figures illustrate the relationship between damping ratios, natural frequencies, and shock transmissibility.

5. Shock Motion and Impact

Details are provided on the effects of sudden base motion and impact on equipment. The document explains how sudden velocity changes and impacts affect isolator deflection and equipment acceleration. It includes equations for calculating maximum deflection and acceleration, emphasizing the importance of damping in reducing transmitted forces.

Conclusion

The document provides a comprehensive analysis of vibration and shock isolation, highlighting the importance of selecting appropriate isolators and mounts based on dynamic characteristics and damping properties. It emphasizes the need for careful consideration of natural frequencies and damping to achieve effective isolation and minimize equipment vibrations.

Nonlinearities

The document discusses the assumptions made in transmissibility equations, particularly the assumption of viscous or linear damping. In reality, damping in materials like wire mesh and elastomers is nonlinear, depending on displacement as well as velocity. This results in high damping at resonance and negligible damping in the isolation band, which is beneficial for vibration isolation systems.

Constant Natural Frequency (CNF) Isolators

CNF isolators maintain a constant natural frequency across a wide load range, providing consistent isolation. They are advantageous over linear isolators due to their robustness and reduced sensitivity to variations in rubber hardness.

Multidegree of Freedom Systems

The document explains that a body can move in six independent ways, leading to six natural frequencies and potential coupled modes of vibration. Coupling can be undesirable, but CNF mounts can help mitigate this by ensuring stiffness is proportional to the weight load.

Static Load Distribution Calculation

To calculate weight distribution among mounting points, the center of gravity (C.G.) must be determined. This can be done through computation or experiment. Accurate calculations are more challenging with more than three mounting points unless surfaces are flat and horizontal.

Connections of Spring Elements

Springs can be connected in parallel, series, or a combination of both. The document provides formulas for calculating equivalent spring constants in these configurations.

3-D Object Driven by Vibratory Force and Torques

The document describes the effects of vibratory forces and torques on a 3-D object mounted on flexible supports. It provides equations for calculating displacements and rotations due to these forces.

Introduction

This document provides technical guidelines on vibration isolation systems, focusing on the analysis of forces and torques, undamped natural frequencies, mount deflections, and complex driving forces. It includes equations, recommendations, and problem examples to aid in the design and selection of vibration isolators.

Specifications and Equations

The document outlines equations for calculating the effects of forces and torques on a solid body mounted on vibration isolators. It provides formulas for undamped natural frequencies and mount deflections, emphasizing the importance of avoiding resonance by ensuring disturbing forces operate at frequencies far removed from natural frequencies.

Mount Deflections

Deflections of mounts due to applied forces or torques are calculated using specific equations. The document advises combining deflections vectorially when multiple forces are involved and highlights the importance of arranging mounts to pass through the equipment's center of gravity.

Complex Driving Forces

For non-sinusoidal or non-suddenly applied forces, the document suggests using Fourier series to decompose force-time variations into frequency components. This approach aids in understanding vibration phenomena and designing effective isolation systems.

Design Problem Examples

Several examples illustrate the application of vibration isolators, considering factors like load distribution, forcing frequency, and isolation efficiency. The examples guide the selection of appropriate isolators based on specific requirements and constraints.

Conclusion

The document emphasizes the need for careful analysis and selection of vibration isolators to achieve desired isolation efficiency. It provides practical examples and recommendations to assist in designing effective vibration isolation systems.

Specifications and Load Capacities:

Various mounts are specified for different load capacities and static deflections. For example, mounts like V10Z 2-310B and V10Z 2-311C are suitable for loads exceeding 40 lbs, with specific static deflections provided for each type.

Problem Analysis:

Several problems are analyzed to determine the appropriate mounts for different equipment based on weight and desired vibration isolation efficiency. For instance, an air conditioner weighing 350 lbs requires mounts that can handle 87.5 lbs per mount, with specific static deflections needed for 81% vibration isolation.

Vibration Isolation Efficiency:

For a computer weighing 200 lbs, mounts are selected based on their ability to provide at least 82% vibration isolation at a forcing frequency of 1750 cpm. The document provides specific part numbers and their corresponding static deflections and isolation efficiencies.

Engine and Fan Isolation:

For a 4-cylinder engine and an 80 lb fan, the document discusses the selection of mounts to achieve desired vibration isolation efficiencies. It includes calculations for static deflection and natural frequency to ensure effective isolation.

Special Cases:

For sensitive equipment like radio equipment on a boat, the document suggests using special mounts to handle both steady vibrations and shock loads. It also discusses the use of conical bumpers to limit shock effects.

General Recommendations:

The document provides general guidelines for isolating machinery like punch presses, emphasizing the importance of selecting mounts with appropriate deflections based on operating speed and stroke length.

Specifications and Procedures:

1. Vibration isolation is critical for high-precision experiments and machinery. The document discusses the need for effective vibration isolation systems, particularly in environments with significant floor vibrations due to industrial machinery.

2. For a textile plant laboratory, a test unit weighing 25 lbs requires a four-point mounting system with at least 81% displacement isolation. Calculations show that a natural frequency of 10 Hz and a static deflection of 0.10 inches are necessary.

3. Problem 18 introduces system damping at 10% of critical, adjusting the natural frequency to approximately 9 Hz, with a static deflection of about 0.117 inches.

Design Recommendations:

1. For impact testing machines, a vibration isolation system must be designed to withstand accelerations up to 2g. The document provides calculations for the velocity and momentum of a pendulum used in testing.

2. For semiconductor manufacturing, vibration isolation requirements for a projection aligner are specified for both vertical and horizontal directions. The document provides detailed frequency and transmissibility data.

Standards and Norms:

1. The document references various standards and norms for vibration isolation, including the use of specific rubber compounds and their properties.

2. It includes tables and charts for vibration sensitivity, transmissibility, and material properties, providing a comprehensive guide for selecting appropriate vibration isolation materials.

Key Data and Charts:

1. Figure 40 and Table 4 provide critical data on vibration sensitivity and isolation synthesis for projection aligners.

2. Appendix sections offer useful formulas for vibration analysis and properties of rubber and plastic materials.

Critical Information:

1. The importance of selecting the right vibration isolators based on natural frequency and damping characteristics is emphasized.

2. The document highlights the need for specialized facilities for high-precision equipment, as conventional plant facilities may not meet the necessary vibration isolation standards.

Introduction

A coupling is a mechanical component used to connect the shafts of two units, such as an electric motor and a hydraulic pump. Despite being small and inexpensive, flexible couplings are critical in shaft systems and require careful selection during the design stage.

Application Considerations

Flexible couplings accommodate various load conditions, and no single type can solve all coupling problems. Key factors in coupling selection include:

• Torque and Horsepower: Couplings must transmit the required torque load, often rated in horsepower at various speeds.
• Shaft Misalignment: Misalignment can occur due to tolerance build-ups or intentional design, affecting the coupling's performance.
• Lateral and Axial Flexibility: Flexible couplings allow limited relative movement between shafts, with forces needed to induce flexibility.
• Torsional Flexibility: This refers to the elastic deformation in a coupling while transmitting torque, affecting applications with encoders.
• Backlash: The rotational play in couplings, which can be problematic in servo-controlled systems.
• Rotational Velocity Error: Errors produced by universal joints due to kinematic behavior.
• Service Conditions: Factors like temperature, lubrication, and maintenance accessibility.

General Classification of Couplings

Couplings are classified based on their role in transmissions:

• Rigid Couplings: Used for precisely aligned shafts, transmitting torque, bending moment, shear force, and axial force.
• Misalignment-Compensating Couplings: Allow motion between connected shafts to reduce effects of misalignment.
• Torsionally Flexible Couplings: Change dynamic characteristics of transmission systems to prevent torsional vibrations.
• Combination Purpose Couplings: Provide both compensating ability and torsional flexibility.

Rigid Couplings

Rigid couplings connect shafts using sleeves and pins or keys, sometimes with flanges or split sleeves.

Misalignment-Compensating Couplings

These couplings reduce forces from imperfect alignment using an intermediate member between hubs. They are divided into:

• Frictional Misalignment-Compensating Couplings: Use frictional displacement (e.g., Oldham coupling, universal Cardan joint).
• Elastic Misalignment-Compensating Couplings: Use elastic deformations in connectors.

Specifications and Procedures:

The document discusses the friction forces in mechanical couplings, particularly focusing on misalignment issues. It explains that the friction force is the product of the friction coefficient and tangential force at an effective radius. The document also covers the selection criteria for couplings, emphasizing that lower friction and larger effective radius reduce forces on bearings.

Oldham Couplings:

Oldham couplings consist of three members and can accommodate lateral shaft misalignments up to 10% of nominal shaft diameters and up to 3° angular misalignments. They offer high torsional stiffness and ease of disassembly but have limitations such as the need for lubrication and significant backlash.

Universal or U-joints:

Universal joints, also known as Cardan or Hooke joints, connect rotating shafts that are not parallel but intersecting. They are used in various applications, including aircraft and medical devices. U-joints can handle large angular misalignments and have high torque capacity but require lubrication and protection from contamination.

Kinematics and Performance:

The document details the kinematics of U-joints, noting that motion transmitted through a U-joint becomes nonuniform, causing angular velocity fluctuations. It provides guidelines for operating angles and discusses the impact of these fluctuations on system performance.

Joint Selection and Torque Rating:

The torque capacity of a universal joint depends on speed, operating angle, and service conditions. The document provides examples and tables to guide the selection of suitable joints based on these factors.

Tables and Figures:

The document includes tables and figures illustrating the effects of shaft angles on joint performance and providing use factors for torque rating. These visual aids help in understanding the technical specifications and selection criteria for mechanical couplings.

Specifications and Procedures:

The document provides detailed technical specifications and procedures for universal joints and couplings. It includes tables and figures illustrating the relationship between speed (rpm), angle of operation, and running conditions. The document also discusses the calculation of inertia torque and the maximum speed of input shafts to prevent exceeding torque limits.

Secondary Couples and Rocking Torques:

Secondary couples or rocking torques in universal joints are explained, highlighting their impact on support bearings and vibrational characteristics. The document provides formulas for calculating maximum rocking torque on input and output shafts, emphasizing the importance of bearing selection based on these calculations.

Joints in Series:

The use of universal joints in series to eliminate velocity fluctuations and connect offset shafts is discussed. Proper phasing of joints is necessary to maintain a constant angular-velocity ratio. The document provides guidelines for limiting maximum angular accelerations of intermediate shafts and includes examples for determining maximum input shaft speed.

Misalignment-Compensating Couplings:

The selection criteria for couplings with elastic connectors are outlined, focusing on the linearity of elastic connectors and their stiffness. Designs of Oldham couplings and U-joints with high-performance rubber-metal laminates are described, highlighting their ability to accommodate lateral misalignment without lubrication.

Torsionally Flexible Couplings:

These couplings are used to prevent resonance conditions and transient dynamic overloads in transmission systems. The document discusses the reduction of torsional stiffness, increase in damping capacity, introduction of nonlinearity, and additional rotational inertia as methods to improve transmission dynamics.

Combination Purpose Couplings:

Combination purpose couplings are described, focusing on their ability to compensate for misalignment and modify dynamic characteristics. The document provides data on torsional and radial stiffness, external diameter, and flywheel moment for various coupling designs, aiding in the selection of suitable couplings for specific applications.

Technical Document Summary

1. Introduction

This document provides detailed technical information on various types of couplings used in mechanical systems, focusing on their specifications, applications, and selection procedures.

2. Flexible Shafts

Flexible shafts are designed to be stiff in torsion but compliant in bending, making them suitable for applications like automotive speedometer drives. Key components include the shaft, casing, case end fitting, and shaft end fitting. Design considerations include torque capacity, speed, direction of rotation, and service conditions. The document provides a formula for determining maximum shaft speed and discusses the impact of direction on torque capacity.

3. Uniflex Couplings

Uniflex couplings are designed to be compact while absorbing vibration and load shock. They consist of three wound square wire springs with brazed hubs. The selection procedure involves determining the service factor and selecting a coupling based on torque or horsepower requirements.

4. Jaw and Spider Couplings

These couplings consist of two metal hubs with a rubber or urethane spider in between. They operate without lubrication and are resistant to oil, grease, dirt, and moisture. The selection process involves determining the service factor and selecting a coupling series based on torque or horsepower.

5. Sleeve Type Coupling (Geargrip)

Sleeve type couplings consist of two splined hubs and a neoprene intermediate member, allowing for angular misalignments up to 2°. They do not require lubrication, and parts can be replaced without disturbing adjacent equipment. The selection process involves determining motor characteristics and service conditions.

6. Service Conditions

The document outlines conditions for normal and severe duty, including speed, operation duration, and load characteristics.

7. References

The document cites several references for further reading on mechanical design and coupling criteria.