157 Fixture Design for Vibration and Shock Testing
This course incorporates a mechanical design fundamentals segment equivalent to course 310, "Mechanical Design for Product Reliability," which may be taken by itself. Another version of course 157 (course 157-3) is a standalone course, intended for on-site presentation.
For Whom Intended This seminar is intended for dynamics test and evaluation personnel desiring an understanding of practical approaches to the design and fabrication of test fixtures used in vibration and shock testing. Tooling Engineers responsible for fixture design need this training.
Quality Assurance and Reliability specialists will find the course useful. So will test and instrumentation specialists. The writers of specifications for environmental tests and for manufacture of fixtures will benefit from knowledge of practical limitations that exist. Product designers who are seeking solutions to vibration and shock problems will also find the course helpful.
A fixture designer must be able to design a test fixture that will transmit the intended input forces directly to the Device Under Test. To accomplish this, a designer must have specific skills as well as an understanding of vibration and shock, structures, dynamic theory, materials and fabrication.
Brief Course Description The course commences with an introduction to vibration and then covers basic dynamics theory including relationships between displacement, velocity and acceleration. Dunkerley's and Rayleigh's methods are introduced, with examples. Damping, transmissibility ratio and resonance stacking are addressed. The course then covers basic structural theory: tension, compression, stress, strain, torsion and moments of inertia. Examples show the torsional shape factors of different structures.
The instructor then addresses frequency and stiffness of beams, plates and gussets, providing useful graphs, formulas and examples. Bolted connections are covered next. Useful data on structures, bolted connections etc., is included in the course workbook which will be an invaluable reference tool back at the workbench.
Modal analysis is then discussed, with mention of multi-degree-of-freedom systems, modes and complex systems. Measurement and fixturing for modal analysis and testing are covered, before moving on to mechanical shock and its design implications. Methods of isolating assemblies from shock and vibration are covered.
Fatigue is covered, including discussion of crack growth rates, fracture mechanics, the S-N curve, and the use and abuse of accelerated testing, including Miner's hypothesis.
Material selection is then covered, with information on overall and design-limiting material properties. Tools are provided for comparing different materials. The design fundamentals segment covers general design suggestions, such as methods for increasing natural frequencies.
The course then moves on to a brief discussion of random vibration, including power spectral density theory. The concept of RMS acceleration is discussed, followed by a basic introduction to shakers and vibration testing.
General considerations in fixture design are discussed next, along with an introduction to instrumentation and sinusoidal vibration testing, as they apply to the fixture design and evaluation process.
The course outlines a variety of strategies for attaching test items to fixtures, from the simplest adaptor plates to massive custom-designed cast and welded fixtures. Practical simplified designs and fabrication techniques, including bonding, bolting and welding, are discussed and class projects are undertaken to design some typical fixtures.
Diploma Programs Course 157 is required for TTi's Dynamic Test Specials (DTS) Diploma program. It may be used to satisfy the course 310 requirement in the Mechanical Design Specialist (MDS) Diploma or as as an optional course for any other TTi specialist diploma program.
Related Courses Course 157-3, a standalone version of 157 including portions of course 310, is available for on-site presentation to experienced designers.
Prerequisites A TTi Fundamentals of Vibration course would be helpful. Participants will need first-year college mathematics (or equivalent experience) and some facility with fundamental engineering computations. Some familiarity with electrical and mechanical measurements and vibration will be helpful, as will an understanding of and familiarity with tooling and manufacturing.
Text Each student will receive 180 days access to the on-line electronic course workbook. Renewals and printed textbooks are available for an additional fee.
Course Hours, Certificate and CEUs Class hours/days for on-site courses can vary from 14-35 hours over 2-5 days as requested by our clients. Upon successful course completion, each participant receives a certificate of completion and one Continuing Education Unit (CEU) for every ten class hours.
OnDemand Internet Complete Course 157 features over 24 hours of video as well as more in-depth reading material. All chapters of course 157 are also available as OnDemand Internet Short Topics. See the course outline below for details.
Course Outline
310 - Chapter 1 - Introduction to Vibration
310 - Chapter 2 - Dynamic Force and Motion
- Laws of Motion
- Weight vs. Mass
- Gravity
- Density
- Force, Mass and Acceleration
- Degrees of Freedom
- Displacement
- Velocity
- Acceleration
- Natural Frequency
- Sinusoidal Waveform
- Modeling Complex (MDoF) Systems
- Dunkerley's and Rayleigh's Methods
- Transmissibility
- Isolation
- Damping
- Examples
310 - Chapter 3 - Review of Structural Design Fundamentals
- Material Properties
- Tension and Compression
- Stress and Strain
- Shear
- Torque
- Moments of inertia
- Torsional Stiffness
- Torsional Shape Factors
- Bending Stiffness
- Instability of beams and flanges
310 - Chapter 4 - Designing for Stiffness
- Natural frequency and stiffness graphs for various structures
- Beam Formulas
- Plate frequency parameters, examples
- Column Resonance
- Axial Resonance
- Example: Stresses in a Loaded Beam
310 - Chapter 5 - Bolted Connections
- Preload
- Data on Bolts
- Design of Bolted Joints
- Stiffness Data
- Required flange material area
- Material thickness, stiffness
310 - Chapter 6 - Modal Analysis and Modal Testing
- Applications
- Modes, Natural Frequencies
- Fixturing for Impedance and Modal Testing
- Finite Element Analysis (FEA)
- Example
310 - Chapter 7 - Random Vibration
- Demonstrations-Sinusoidal Vibration, Complex Waveform, Random Vibration
- Probability Density
- Power Spectral Density (PSD)
- Shaker Power Spectral Density Response
- Equalization
- Calculating the RMS Acceleration from Spectral Plot
310 - Chapter 8 - Mechanical Shock
- Causes of Shock, Effects and Remedies of Shock
- Transient or Shock Tests
- Shock Pulse shapes, Shock Isolation Example
310 - Chapter 9 - Fatigue
- Fatigue-Crack-Growth Rate
- How Materials Behave: The S-N Curve
- Factors Influencing Fatigue Behavior
- Stress Concentration
- Photoelasticity
- Fracture Mechanics
- Fracture Toughness of Some Common Materials
- Crack Propagation
- Crack Growth Rate
- Example of a Fracture Surface
- Fracture Surfaces
- Forensics
- Failure Models
- Failure Mechanism
- Time-Dependent Failures
- First Passage Model (Time to Failure)
- The Goodman Diagram
- The Constant Life Diagram
- Exceeding a Critical Stress During Random Vibration
- Inverse Power Law Model - Time to Failure
- Fatigue Damage Model Based Upon S-N Curve - Number of Cycles to Failure
- Idealized S-N Curve for Structural Materials
- Fatigue Damage Model Based on Crack Growth Rate
- Crack Growth Rate vs. Stress Intensity Factor
- Miner's Hypothesis for Fatigue Damage Accumulation
- Miner's "Rule" Cautions
- Determination of Effective Excitation
- Fatigue, Miner’s Rule Example
- Typical Endurance Limits
- "S-N" Curve from Fatigue Testing
- Fatigue Case Study
- Example: Rating a Printed Circuit Board
310 - Chapter 10 - Material Selection in Engineering Design
- Overall & Design-Limiting Material Properties
- Application-Specific Material Properties
- Example: Optimization of Shaker Table
310 - Chapter 11 - Chassis Analysis Example
- Chassis Dynamics, Section Properties
- Increasing Resonant Frequency, Torsion
- Rotational Inertia
310 - Chapter 12 - Design Suggestions
157 - Chapter 1 - Introduction to Vibration Test Equipment
- Electrodynamic Shakers
- Force ratings, Displacement and Velocity Limits
- Effective Mass of Exciter Table
- Electrohydraulic Shakers
- Reaction Mass Effect
- Slip Plates
- Hydrostatic Bearings
- Overturning Moment
157 - Chapter 2 - Introduction to Fixture Design
- Purpose of the Fixture
- Fixture Performance
- Considerations in Fixture Design
157 - Chapter 3 - Vibration Test Fixtures - General Remarks
- The "black art" of designing fixtures
- Function of the test fixture
- Difficulty in achieving identical motion at all attach points
- Required information about the test item and the test program
- Required information about shaker
- Bolting to the shaker table
- An example of successful redesign
- Fixture weight relative to test item weight
- Temperature and altitude affect fixture design for combined environments
157 - Chapter 4 - Interface Items
- Introduction
- Table expanders
- Horizontal accessory tables: oil-film slip tables
- Connecting horizontal accessory tables to shakers
- Horizontal accessory tables: hydrostatic bearings
- Misuse of horizontal accessory tables
- Avoid using bolts in shear
- A note of warning on wide plates
157 - Chapter 5 - Measurement and Readout of Vibration
- Accelerometers
- Amplifiers
- Frequency response
- Mounting affects frequency response
- Cable routing affects frequency response
- Cross-axis sensitivity
- Hand-held probe accelerometers
- Readout of Vibration Intensity and Frequency: Conversion to numbers
- Oscilloscopes and oscillographs
- X-Y plotters and pen recorders
- Decibel scaling
- Need for tracking filter in evaluating fixtures
- Calibration checks on the entire measuring system
- Day-to-day accelerometer calibration in a "working" laboratory
157 - Chapter 6 - Vibration Testing Specifications
- What a fixture designer needs to know about specifications
- A typical specification
- Mounting the test article
- Eliminating variables
- Location of the control accelerometer
- Intent of Specifications better met by use of multiple accelerometers
- Fixture should minimize variations in motion intensity
- Standardization needed
157 - Chapter 7 - Basic Fixture Types
- Introduction
- Adapter plates
- Cube fixtures
- Hemispheres
- Conical fixtures
- Enclosed box fixtures
- Drum fixtures
- L-type fixtures
- T-type fixtures
- Open box fixtures
157 - Chapter 8 - Fixture Fabrication Methods
- Introduction
- Materials for fixtures
- Machining fixtures from solid stock
- Bolted fixtures
- Cast fixtures
- Welded fixtures
- Bonded fixtures
- Laminated fixtures
- Epoxy formed fixtures
- Potted fixtures
- Foamed plastics for damping
- Inserts
157 - Chapter 9 - Fixture Evaluation
- Importance of Evaluating Fixtures
- Transmissibility vs. frequency
- Plotting Transmissibility vs. Frequency: Setups
- Example—Determining Resonant Frequency of a Fixture
- Apparent Resonances
- Judging a Good Fixture
- Sweep Rates
- Evaluation with Load
- Improving a Faulty Fixture
- L-Fixture FEA Results
- Keeping Records of Fixtures
- Damping Ratio Measurements
157 - Chapter 10 - Orthogonal Motion—Cross Talk
- Describing Non-Straight-Line Motion
- Test Specifications
- Idealized Shaker Motion
- Linear and Orthogonal Motion
- Orthogonal Motion With Load
- Large Shaker May be Economical
- Accelerometer May be Faulty
157 - Chapter 11 - Fixture Design for Random Vibration and Shock
- Fixtures for Random Vibration Testing
- Random Vibration for Fixture Evaluation
- Transmissibility Measurements for Random
- Shock Testing
- Fixture Design for Shock Tests
157 - Chapter 12 - Analysis of an L-Fixture
- Description of the fixture
- Basic dimensions
- Procedure for Analysis
- Step-by-step analysis
157 - Chapter 13 - Class Project: Designing a Cubical Fixture
- Suggested Cubical Fixture (Project 1)
- Cubic Fixture Design Project: Process
- Part 1. Axial Mode
- Part 2. Bending Mode
- Details
- Results
- Material Options
- Configuration Obtained by Finite Element Analysis
310 - Appendix B - Glossary of Symbols and Units
310 - Appendix B - Index of Equations in 310
157 - Appendix B - Index of Equations in 157
310 - Appendix C - Dynamic Force and Motion (Reference)
310 - Appendix D - Index of Graphs and Tables
310 - Appendix E - Understanding Decibels and Octaves
157 - Appendix C - Lissajous Patterns
- Lissajous Pattern Development
- Use of Lissajous Patterns to Evaluate Vibration Responses
Final Review
Conclusion
Award of Certificates for successful completion
Click for a printable course outline (pdf).
Revised 6/23/18