WELCOME TO VIBRATIONDATA
SHOCK & VIBRATION CD OFFER

This is still called the CD offer, but the files are now distributed on a 4 GB USB key.  
A website subscription is included in this offer. 

The Vibrationdata CD contains over 400 tutorial papers, as well as NASA and military handbooks.

The paper topics include
  • Acoustics
  • Shock and Vibration
  • Signal Processing
  • Dynamic Data Acquisition and Analysis
  • Modal Testing
  • Finite Element Analysis
A partial listing is given at the bottom of this page.
The CD also contains over 300 software programs for shock and vibration analysis. The software program include
  • Shock Response Spectrum
  • Power Spectral Density
  • Fourier Transforms
  • Digital Filtering
  • Beam and Plate Natural Frequencies
  • Acoustic Natural Frequencies
  • dB Calculation
The price for the CD is $90.00 (US). There are two payment methods.

Method 1: Check

To order, please send a check or money order to:
Tom Irvine
Vibrationdata
136 Wellington Dr.
Madison, Alabama 35758


Method 2: Credit Card via PayPal  
(You do not need to have an existing PayPal account for this method)
For questions, please send an Email to: tomirvine@aol.com

Subscription Method

The materials on this page may also be downloaded directly via Subscription. Please visit Tutorials for this option. 

Acceleration

Equivalent Static Load for Random Vibration. The static load is taken from the three-sigma vibration response.
Equivalent Static Load for Sine Vibration
Equivalent Shock and Vibration Tests for Quasi-static Acceleration
MIL-STD-810F, Method 513.5, Acceleration

Accelerometers

Dytran Tutorial: Piezoelectric Accelerometers and Force Transducers
Bruel & Kjaer Booklet: Measuring Vibration
Zeroshift of Piezoelectric Accelerometers in Pyroshock by Anthony Chu

Airport and Aircraft Noise

Boeing 727 & 747 SPL Graphs, Arizona State University Course Notes
Wyle, Status of Low-Frequency Aircraft Noise Research and Mitigation
Aircraft Noise (slide presentation)
Antoine, Aircraft Noise Overview(slide presentation)
California Airport Land Use Planning Handbook, Measuring Airport Noise

Architectural Acoustics

Acoustic Transmission Loss
Natural Frequencies of Rectangular Rooms
Reverberation Time in Architectural Acoustics. This tutorial also covers the Sabine equation and sound absorption.
Sound Pressure Level in a Semireverberant Field

Environmental Noise and Abatement

Noise Measurement. This tutorial also covers weighting networks for sound level meters.
U.S. Army, Noise and Vibration Control
Sound Behavior and Control, with Practical Diagrams. Developed by Stig Ingemansson, Ingemansson Technology, Gothenburg, Sweden.
A Guide to Noise Control in Minnesota

U.S. Department of Transportation, Highway Traffic Noise
Highway Traffic Noise Analysis and Abatement
Transit Noise and Vibration Impact Assessment
Automotive Acoustic Glossary
The Use of Shrubs and Trees for Traffic Noise Attenuation
Environmental Noise (Bruel & Kjaer)
Larkin, Effects of Military Noise on Wildlife: a Literature Review
OSHA Regulations (Standards - 29 CFR) Occupational noise exposure. - 1926.52
Washington State, Noise_Impact_Assessment.pdf

Sonic Booms

McLaughlin, et al, Infrasound Detection of Rocket Launches
Sonic Booms, USAF Fact Sheet 96-03
FAA Sonic Boom Noise and Overpressure
Joseph E. Cates & B. Sturtevant, Seismic detection of sonic booms

Predicting Launch Vehicle and Plume Sonic Boom using PCBoom3, Kenneth J. Plotkin, Wyle Laboratories

News Item: Navy Jets Cause Sonic Boom over Tampa. Registers as magnitude 2.7 quake

Filters and Resonators

A Pink Noise Filter
An Introduction to Helmholtz Resonators

HVAC & Piping Systems

Wachel and Bates, Allowable Piping Vibration Levels Graph
Trane, Specifying Quality Sound for HVAC Systems
Sound Transmission through Pipes and Ducts

Ocean Acoustics 

J. Hildebrand, Sources of Anthropogenic Sound in the Marine Environment

 Machinery

Noise Source Mechanisms in Axial Industrial Fans
Understanding Transformer Noise
Acoustic Radiation Efficiency Models of a Simple Gearbox
The Acoustic Characterisitcs of Turbomachinery Cavities (8.9 Mb)
U.S. Army, Power Plant Acoustics

Measuring Sound

Hjelmgren, Dynamic Measurement of Pressure
Bruel & Kjaer Booklets
Building Acoustics
Measuring Sound
Microphones
Sound Intensity

 Music

The Fundamental Frequencies of Piano Keys
Tuning Fork Sound and Vibration
An Introduction to Music Theory
Wind Chime Acoustics
M.Fisher, Vibration Modes of a C4 Handbell: Holographic Interferometry and Finite Element Analysis:
Xaq Pitkow, Why do Octaves Sound the Same?

Physics

Formulas for Calculating the Speed of Sound
Natural Frequencies of Pipes
Acoustic Pressure Oscillation in a Pipe via the Finite Element Method
Acoustic Pressure Oscillation in a Two-Dimensional Pressure Field via the Finite Element Method using Triangular Elements
The Acoustic Power Spectrum
Acoustic Decibel Calculations for Air and Water
Sound Power and Intensity
Adrian Secord, Sound Pressure Generated by a Bubble

Ultrasonics

 Measuring Ultrasonic Properties of Materials

Rocket Aeroacoustics

Rocket Vehicle Liftoff Acoustics, Part I: Acoustic Pressure near Nozzle Exit Plane
Rocket Vehicle Liftoff Acoustics, Part III: Acoustic Attenuation
Prediction of Sound Pressure Levels on Rocket Vehicles During Ascent
NASA SP-8072, Acoustic Loads Generated by the Propulsion System
NASA KSC-12061 Computer Program Predicts Rocket Noise
NASA Preferred Reliability Practices: Acoustic Noise Requirement

Jet Aeroacoustics

Aircraft Noise (slide presentation)
Antoine, Aircraft Noise Overview(slide presentation)
Lighthill's Eighth Power Law for Jet Noise

Vibroacoustics

Vibration Response of a Panel to an Acoustic Pressure Field
Vibration Response of a Cylindrical Skin to Acoustic Pressure via the Franken Method
Vibroacoustic Response of a Cylinder
Hughes and McNelis, Recent Advances in Vibroacoustics
Vibration, Shock, Acoustics
SONIC BOOMS, OVERPRESSURE & INFRASOUND

McLaughlin, et al, Infrasound Detection of Rocket Launches
Sonic Booms, USAF Fact Sheet 96-03
FAA Sonic Boom Noise and Overpressure
Joseph E. Cates & B. Sturtevant, Seismic detection of sonic booms

Predicting Launch Vehicle and Plume Sonic Boom using PCBoom3, Kenneth J. Plotkin, Wyle Laboratories

News Item: Navy Jets Cause Sonic Boom over Tampa. Registers as magnitude 2.7 quake:
TESTING

NASA-STD-7001 Payload Vibroacoustic Test Criteria
NASA-STD-7002 Payload Test Requirements
NASA-STD-5002 Load Analysis of Spacecraft and Payloads
Acoustic and Random Vibration Test Tailoring for Low-Cost Missions
John C. Forgrave, Kin F. Man, and James M. Newell
Scharton, Vibration and Acoustic Testing of Spacecraft

Tacoma Narrows Bridge

Tacoma Narrows Bridge Failure
Tacoma Narrows Bridge, HAER No. WA-99
WIND ENGINEERING, FLUID DYNAMICS, AND AEROELASTICITY
Natural Frequencies of Fluid Systems
Added Mass for a Single-degree-of-freedom System Submerged in a Fluid
Karman Vortex Shedding and the Strouhal Number
Charles Dalton, Fundamentals of Vortex Induced Vibration
Aerodynamic Lift and Drag Coefficients

Flutter

Introduction to Aerodynamic Wing Flutter
NASA SP-8003 Flutter, Buzz, and Divergence
NASA SP-8004 Panel Flutter
Flutter and Oscillating Air-Force Calculations for an Airfoil in a Two-Dimensional Supersonic Flow
Overview of Recent Flight Flutter Testing Research at NASA Dryden
Robert Coleman, Damping Formulas and Experimental Values of Damping in Flutter Models
MacDonald, Fin Flutter
NACA TN-751 Damping Formulas and Experimental Values of Damping in Flutter Models
Helicopters

Helicopter Ground Resonance

Apache Helicopter Noise. This article includes Fourier transforms of acoustic data that reveal the blade passing frequency and harmonics of each rotor
NASA, Low Noise Rotor Concepts
AUTOMOBILES
Transportation Shock Due to Speed Bumps and Road Obstacles
Sample Automobile Vibration Problems
Liu and Pfeifer, Introduction to Brake Noise Vibration (slide presentation)
Automotive Acoustic Glossary
HUMAN VIBRATION
Vibration of the Human Eye
Bus Drivers & Human Vibration
Whole Body Vibration and Back Disorders Among Motor Vehicle Drivers and Heavy Equipment Operators C130J Human VibrationBruel & Kjaer Human Vibration
STRENGTH OF MATERIALS 

Deflection and Stress of a Beam under Static Loading
Bending Analysis of Statically Indeterminant Beams
Shear Factors for Beam Analysis
A Circular Plate Subjected to Uniform Pressure
Properties of Concrete
Effect of transient heating on vibration frequencies of some simple wing structures
 Buckling

Buckling of Columns
Linear Buckling Analysis Using an Eigenvalue Solution
Buckling of Thin-Walled Circular Cylinders
Buckling of Thin-Walled Truncated Cones
Buckling of Thin-Walled Doubly Curved Shells
Buckling Strength of Structural Plates
NASA Technical Paper 3090, Buckling and Vibration Analysis of a Simply Supported Column With A Piecewise Constant Cross Section By Mark S. Lake and Martin M. Mikulas, Jr.

Stiffness

Spring Stiffness Table

Building Vibration

Building Vibration Standards
Transamerica Pyramid Design
Kijewski and Kareem, Analysis of full-scale data from a tall building in Boston: damping estimates:
Livanos, Raffan, and Coltrona, Active Control of Vibration in Tall Buildings
Womack and Halling, Forced Vibration Testing of the I-15 South Temple Bridge
Transit Noise and Vibration Impact Assessment
Transportation and Construction-Induced Vibration Guidance Manual, California Department of Transportation

Signal Processing, Filtering, & Fourier Transform

An Introduction to Digital Filtering. This tutorial focuses on the Butterworth filter.
Introduction to the Spectral Functions. The Fourier Transform and Power Spectral Density Function
Fast Fourier Transform. The FFT transform is based on the butterfly algorithm.
Shock and Vibration Signal Analysis
Power Spectral Density Calculation via Matlab Guest tutorial submitted by Bob Light.
Sine Function Identification and Removal
Statistical Degrees of Freedom
Frederic J. Harris, Trigonometric Transforms
Bruel & Kjaer, Use of Weighting Functions in DFT/FFT Analysis (Part I)
Bruel & Kjaer, Use of Weighting Functions in DFT/FFT Analysis (Part II)
Bruel & Kjaer, Zoom FFT
Aude, A Tutorial in Coherent and Windowed Sampling with A/D Converters
The Fourier Series of a Rectangular Wave
NASA TESTING STANDARDS
NASA Sine-Burst Load Test
NASA Acoustic Noise Requirement
NASA Combination Methods for Deriving Structural Design Loads
NASA Force Limited Vibration Testing, by T. Sharton
NASA-STD-7001 Payload Vibroacoustic Test Criteria
NASA-STD-7002 Payload Test Requirements
NASA-STD-5002 Load Analysis of Spacecraft and Payloads
NASA-STD-8739.1, Workmanship Standard for Staking and Conformal Coating of Printed Wiring Boards and Electronic Assemblies
Acoustic and Random Vibration Test Tailoring for Low-Cost Missions by John C. Forgrave, Kin F. Man, and James M. Newell
MILITARY TESTING STANDARDS
MIL-STD-167-1 Mechanical Vibration of Shipboard Equipment
MIL-HDBK-340A Test Requirements for Launch, Upper-Stage, and Space Vehicles
MIL-HDBK-5J Metallic Materials and Elements for Aerospace Vehicle Structures 
MIL-STD-1540B, Test Requirements for Space Vehicles
MIL-STD-1540C, Test Requirements for Launch, Upper-Stage & Space Vehicles
MIL-STD-1540D Product Verification Requirements for Launch, Upper-Stage, and Space Vehicles
MIL-STD-810F, Method 513.5, Acceleration
MIL-STD-810F, Method 514.5 Vibration
MIL-STD-810F, Method 516.5 Shock
MIL-STD-810F, Method 517 Pyroshock
MIL-STD-810F, Method 515.5 Acoustic Noise
MIL-S-901D, Shock Tests, High Impact, Shipboard Machinery, Equipment, and Systems, Requirements for; Department of Defense, 1989.
Eastern & Western Range EWR 127-1
RCC 319 Chapter 8
DOD-HDBK-343, Design, Construction, and Testing Requirements for One of a Kind Space Equipment
NAVMAT P-9492, Navy Manufacturing Screening Program
U.S. Army TB 55-100, Transportability Criteria for Shock and Vibration
 ITOP-1-2-601 FR/GE/UK/US International Test Operations Procedure, Laboratory Vibration Schedules 1998
CASE HISTORIES

NASA HESSI Vibration Test Failure
EXPERIMENTS

Chladni Patterns
Vibration Experiments for Students
Effect of transient heating on vibration frequencies of some simple wing structures

Computer Vibration

IDEMA Disk Drive Reliability, Document No, R1-98
Computer Shock and Vibration Concerns
F. Bernett, The Effects of Using Isolators for Mounting Disc Drives in PC Systems

Damping

Damping Properties of MaterialsThis tutorial gives the loss factors for aluminum, steel, copper, and other engineering materials.
Damping Cross-Reference
Damping Mechanisms for Microgravity Vibration Isolation
The Half Power Bandwidth Method for Damping Calculation
Damping Loss Factors for Damping Materials for Continuous Structures
Kijewski and Kareem, Analysis of full-scale data from a tall building in Boston: damping estimates:
NASA, Measurement of Damping of Composite Materials for Turbomachinery Applications
Free Vibration with Coloumb Damping (Dry Friction Damping) 

Isolation

Avionics Isolation Design Guidelines
Vibration Analysis of an Isolated Mass with Six-degrees-of-freedom
Notes on Shock Testing of Isolated Avionics Components
Notes on Finite Element Modeling of Isolated Components
Machine Mounting for Vibration Attenuation
J.S. Lamancusa, Vibration Isolation
P. Masterson, The Basics of Vibration Isolation Using Elastomeric Materials

Vibration Absorbers

Livanos, Raffan, and Coltrona, Active Control of Vibration in Tall Buildings
Wheel and Rail Vibration Absorber Testing and Demonstration

Equivalence

Sine and Random Vibration Equivalent Damage
Sine and Random Vibration Equivalence
Time-Scaling Equivalence Methods for Random Vibration Testing
Fackler, SVM-9, Equivalence Techniques for Vibration Testing

Shock & Vibration Fatigue

Random Vibration Fatigue. Includes Miner's Cumulative Damage Index.
Vibration and Fatigue Evaluation of Airplane Propellers, FAA Document
Fleeter and Zhou, Fatigue Life Prediction of Turbomachine Blading
Wincheski, et al, Quality Factor and Microslipping of Fatigue Cracks in Thin Plates at Resonant Vibration

Electronic Component Fatigue

Shock & Vibration Fatigue Criteria for Electrical Components
Response of an Electronic Part to Lateral Excitation
Optimizing a Circuit Board Natural Frequency with Respect to Random Vibration.
The optimization is achieved using the vibration response spectrum.
Zhao, et al, Thermomechanical Behavior of BGA Solder Joints Under Vibration:
An Experimental Observation

Acoustic Fatigue

Acoustic Fatigue of a Small Rectangular Panel
Hess, et al, Studies of Structural Failure due to Acoustic Loading (July 1957)

Fretting

van Dijk, van Meijl, Contact Problems due to Fretting and their Solutions
Horn, Avoiding Fretting Corrosion by Design

Mechanical Impedance & Force Limited Testing

McNelis and Scharton, Benefits of Force Limiting Vibration Testing
Scharton, Force Limited Vibration Testing Monograph
Scharton, NASA Force Limited Vibration Testing
Fackler, SVM-9, Equivalence Techniques for Vibration Testing
Franken, Scharton, Mack, Comparison of Mariner Assembly-Level and Spacecraft-Level Vibration TestsRice and Buehrle, Validation of Force Limited Vibration Testing at NASA Langley Research Center
Heinrichs, Feasibility of Force-Controlled Spacecraft Vibration Testing using Notched Random Test Spectra
Painter, Use of Force and Acceleration Measurements in Specifying and Monitoring Laboratory Vibration Tests
Pulgrano, Impedance Concerns in Vibration Testing
Salter, Taming the General-Purpose Vibration Test
The Effect of Fixture Impedance in Vibration Testing

Mathematics & Numerical Analysis

Table of Laplace Transforms
Partial Fractions in Shock and Vibration Analysis
Complex Functions and Trigonometric Identities
This tutorial also derives formulas for the natural logarithm, square root, and cube root of a complex number.
Integration of the Normal Distribution Curve
Roots of a Cubic Polynomial:\
Raphson Method Applied to Vibration Problems
The Cosine Integral
The Generalized Eigenvalue Problem

Modal Testing

An Introduction to Frequency Response Functions
Structural Dynamics Testing using an Impulse ForceThis tutorial also covers use of the exponential window.
Exponential Windows:
Effective Modal Mass & Modal Participation Factors
The Fundamentals of Modal Testing
Kijewski and Kareem, Analysis of full-scale data from a tall building in Boston: damping estimates:
Richardson, Derivation of Mass, Stiffness and Damping Parameters From Experimental Modal Data:

Statistical Energy Analysis

Modal Density
Radiation & Driving Point Impedance of a Thin, Isotropic Plate
Vibration Response of a Thin Cylindrical Shell to External Acoustic Pressure via Statistical Energy Analysis
Vibration Power Measurement using a Plate as a Reverberant Structure
Byam & Radcliffe, Statistical Energy Analysis Model and Connectors for Automotive Vibration Isolation Mounts
Bruel & Kjaer Booklets
Structural Testing 1: Mobility Measurement
Structural Testing 2: Modal Testing
METHODS FOR DERIVING EQUATIONS OF MOTION AND DETERMINING NATURAL FREQUENCY
Energy Method
Lagrange's Equation

Rayleigh Method

Rayleigh's Method
Bending Frequency of a Fixed-Fixed Beam via the Rayleigh Method
The Fundamental Frequency of an Isolated Circular Plate
The Fundamental Frequency of an Isolated Annular PlateThe Natural Frequency of a Rectangular Plate Point-Supported at Each Corner

Rayleigh-Ritz Method

Rayleigh-Ritz Method for Beams and Rods

Nonlinear Vibration

Duffing Equation for a Simple Pendulum Driven by a Harmonic Moment
Lasic, Planinšic, Torzo: Torsion Pendulum, the Mechanical Nonlinear Oscillator
Cornell University, Lecture Notes
Georgia Tech, nonlinear oscillator notes
Free Vibration of a Single-degree-of-freedom System with Nonlinear Stiffness
ORBITAL MECHANICS
Rocket Propulsion Equation
Circular Orbit about a Central Body
Escape velocity
The Natural Space Environment: Effects on Spacecraft

Pendulums

Pendulum Oscillation
Duffing Equation for a Simple Pendulum Driven by a Harmonic Moment
Bifilar Pendulum
Pendulum Seismometer for Measuring Vertical Ground Motion
The Simple But Nonlinear Pendulum
The Period of a Pendulum Undergoing Large Deflections
Rocket Vehicle Vibroacoustics

Rocket Vehicle Liftoff Acoustics, Part I: Acoustic Pressure near Nozzle Exit Plane
Rocket Vehicle Liftoff Acoustics, Part III: Acoustic Attenuation
Prediction of Sound Pressure Levels on Rocket Vehicles During Ascent
Vibration Response of a Panel to an Acoustic Pressure Field
Vibration Response of a Cylindrical Skin to Acoustic Pressure via the Franken Method
Richard Lyon, SVM-1, Random Noise and Vibration in Space Vehicles
NASA CR-1302 Summary of Random Vibration Prediction Procedures
NASA CR-1596 Assessment of Space Vehicle Aeroacoustic-Vibration Prediction, Design, and Testing
NASA SP-8072, Acoustic Loads Generated by the Propulsion SystemSchiffer and Hyde, Mariner Mars 1964 Acoustically Induced Vibration Environment
LIQUID ENGINE POGO & SOLID MOTOR PRESSURE OSCILLATIONS

Minuteman II Stage 3, SR-19 & M57A1 Motor Resonances
Vibration in Rocket Vehicles due to Combustion Instability
NASA SP-8055 Prevention of Coupled Structure-Propulsion Instability (POGO)

Main Engine Cut-Off (MECO)

Scott Gordon, Delta II MECO Transient: A Payload Perspective

Pegasus

The Pegasus Launch Vehicle: Shock and Vibration Environments
Isam Yunis, Pegasus Captive Carry Random Vibration Testing Requirements
Waveform Synthesis of the Pegasus Drop Transient for Shaker Table Shock Testing:
PROPELLANT SLOSH

NASA SP-8009 Propellant Slosh Loads

NASA SP-8031 Slosh Suppresion
OTHER ROCKET VEHICLE & SPACECRAFT TUTORIALS
General Electric, Missile Vibration Control
Evolved Expendable Launch Vehicle Standard Interface Specification Version 6.0
(EELV SIS)
NASA-HDBK-7005 Dynamic Environmental Criteria
NASA SP-5002 Load Analyses of Spacecraft and Payloads
NASA SP-8012 Natural Modal Vibration Analysis
NASA SP-8016 Effects of Structural Flexibility on Spacecraft Control Systems
NASA SP-8022 Staging Loads
NASA SP-8030 Transient Loads from Thrust Excitation
NASA SP-8035 Wind Loads During Ascent
NASA SP-8050 Structural Vibration Prediction
NASA SP-8056 Flight Separation Mechanisms
NASA SP-8077 Transportation and Handling Loads

NASA SP-8099 Combining Ascent Loads
Goddard General Environmental Verification Specification for STS & ELV Payloads, Subsystems, and Components
The Natural Space Environment: Effects on Spacecraft

Random Vibration & Power Spectral Density

An Introduction to Random Vibration. A random vibration signal is analyzed in terms of its histogram, probability density function, and descriptive statistics.
Power Spectral Density Units [ G^2 / Hz ]. The bandpass filtering method is used to demonstrate a power spectral density calculation.
Integration of the Power Spectral Density Function:
The overall GRMS value is obtained by integration, for log-log format.
Acceleration, Velocity, and Displacement Power Spectral Density Functions. Calculation methods are presented to convert any of these function to the other two functions.
A Method for Power Spectral Density Synthesis. The method begins with a white noise time history. The Fourier transform is then manipulated to obtain the desired power spectral density functions.
PSD synthesis example using step-by-step software program instructions.
Equivalent Static Load for Random Vibration. The static load is taken from the three-sigma vibration response.
Power Spectral Density Calculation via Matlab:
Guest tutorial submitted by Bob Light.
Estimating the Transmissibility Q for Random Vibration

Sine and Random Vibration Equivalence 

Sine and Random Vibration Equivalent Damage
Sine and Random Vibration Equivalence
Fackler, SVM-9, Equivalence Techniques for Vibration Testing
A Comparison of Sine and Random Vibration via Tustin's Demonstration Device

Vibraton Response Spectrum

Introduction to the Vibration Response Spectrum
Derivation of Miles Equation
Enveloping Data via the Vibration Response Spectrum
Optimizing a Circuit Board Natural Frequency with Respect to Random Vibration. The optimization is achieved using the vibration response spectrum.
The Response of a Single-Degree-of-Freedom System to Excitation from Random Surface Irregularities. (The input function may be a spatial power spectral density).

Random Vibration Fatigue

Random Vibration Fatigue:
Includes Miner's Cumulative Damage Index.
Time-Scaling Equivalence Methods for Random Vibration Testing
Vibration Fatigue Criteria for Electrical Components

Random Vibration Testing

Random Vibration Band-Splitting, Martin Marietta

Statistical Distributions

The Rayleigh Distribution
Integration of the Normal Distribution Curve

PowerPoint Presentations

Shock and Vibration in Launch Vehicles
Practical Application of the Rayleigh-Ritz Method to Verify Launch Vehicle Bending Mode:
A Time Domain, Curve-Fitting Method for Accelerometer Data Analysis
Waveform Reconstruction via Wavelets (NASA version)
Waveform Reconstruction via Wavelets (Aerospace/JPL Conference version)
RAILWAY VIBRATION TUTORIALS
High-Speed Ground Transportation Noise and Vibration Impact Assessment
U. S. Department of Transportation Federal Railroad Administration
Prediction of Ground Vibration From Railways. Submitted by Sinan Al Suhairy, SP Swedish National Testing and Research Institute and Chalmers University of Technology. Vibrationdata.com student paper contest Winter 2000.
Wheel and Rail Vibration Absorber Testing and Demonstration

Rotor Dynamics

NASA TP-1597, Direct Integration of Transient Rotor Dynamics
Gotz von Groll, Dynamic Properties of Rotating Structures: Modelling and Visualisation of Simulation and Experimental Results
Lateral Natural Frequency of a Shaft Rotor System by the Transfer Matrix Method
Lateral Natural Frequencies of Rotor Shaft Systems
via the Finite Element Method.
Submitted by P. H. Mathuria, graduate student, Indian Institute of Technology, Bombay. Vibrationdata.com student paper contests, Summer 1999 and Spring 2000, respectively.
Lockheed, Vibration Standard for New and Rebuilt Machinery and Equipment
Crankshaft Torsional Vibration
Vibration and Fatigue Evaluation of Airplane Propellers, FAA Document
D. Hessenaur, Propellar Drive Systems and Torsional Vibration
ELECTRIC MOTOR & GENERATOR VIBRATION
Vibration of AC Induction Motors and Generators

Dynamic Design Analysis Method (DDAM)

O'Hara and Cunniff, Time History Analysis of Systems as an Alternative to DDAM-Type Analysis:
NRL Report 7396 Shipboard Shock and Navy Devices for Its Simulation
NRL Memorandum Report 1396, Interim Design Values for Shock Design of Shipboard Equipment
NAVSEA 09080-LP-000-3010, Shock Design Criteria for Surface Ships
MIL-STD-167-1 Mechanical Vibration of Shipboard Equipment
MIL-S-901D, Shock Tests, High Impact, Shipboard Machinery, Equipment, and Systems, Requirements for; Department of Defense, 1989.

SRS Algorithm

Introduction to the Shock Response Spectrum. A digital recursive filtering relationship is developed from the convolution integral.
Shock Response of Multi-degree-of-freedom Systems
Shock Response Spectrum Synthesis via Wavelets
Commercial Testing using the Shock Response Spectrum
Kelly and Richman, Principles and Techniques of Shock Data Analysis
Tustin and Hieber, Understanding and Measuring the Shock Response Spectrum:
T. Baca, Alternative Shock Characterization for Consistent Shock Test Specification:

Waveform Reconstruction

Waveform Reconstruction using Wavelets
Waveform Synthesis of the Pegasus Drop Transient for Shaker Table Shock Testing

Shock Tutorials

Integrating the Acceleration Half-Sine Pulse
Response of a Single-degree-of-freedom System Subjected to a Unit Step Displacement
Response of a Single-degree-of-freedom System Subjected to a Classical Pulse Base Excitation:
Response of a Single-degree-of-freedom System Subjected to a Terminal Sawtooth Base Excitation: Response of a Single-degree-of-freedom System Subjected to a Terminal Sawtooth Applied Force: Dynamic Load Factors for Classical Pulses, ChartsTransportation Shock Due to Speed Bumps and Road Obstacles

Impact and Drop Shock

Simple Drop Shock
Horizontal Impact Shock
Water Impact Shock
Equivalent Bench Handling Shock Response Spectrum

Papers By David O. Smallwood, Sandia National Laboratories

Time History Synthesis for Shock Testing on Shakers
An Improved Recursive Formula for Calculating Shock Response Spectra
The Shock Response Spectrum at Low Frequencies:

Pyrotechnic Shock

NASA Pyrotechnic Shock Design Guidelines ManualBy Kacena, McGrath, and Rader.
Martin Marrietta, Joint & Distance Attenuation
NASA Pyroshock Test Criteria, by D. Kern
Measuring and Analysis of Pyrotechnic Shock. Submitted by John Eriksson and Mattias Hansson, Chalmers University of Technology, Sweden. Vibrationdata.com student paper contest, Spring 2000.
Pyroshock Data Acquistion and Analysis for U/RGM-109D Payload Cover Ejection Tests, NWC TP 6927, By Allan Piersol
Pyrotechnic Shock Flight Failures By C.J. Moening
Gaberson and Chalmers, Modal Velocity as a Criterion of Shock Severity, Shock and Vibration Bulletin, Naval Research Lab, December 1969
MIL-STD-810F, Method 517 Pyroshock
The Proposed NASA Pyroshock Test Criteria Standard
Mechanical Shock from Frangible Joints, by V.R. Paul
Pyrotechnic Shock Structural Response, by R.G. Merritt
V-Band Separation Shock Characteristics, by K.Y. Chang

Pyrotechnic Shock Simulation in the Test Lab

High G Pyrotechnic Shock Simulation Using Metal-to-Metal Impact By Monty Bai and Wesley Thatcher
The Controlled Response of Resonating Fixtures Used to Simulate Pyroshock Enviroments, by Neil Davie: Summary of Testing Techniques, by Dan Powers
Multi-Degree-of-Freedom Pyrotechnic Shock Simulation, Slide Presentation, by Smith and Hollowell
Comparison of Response from Different Resonant Plate Simulation Techniques
High Frequency Mechanical Pyroshock Simulation for Payload Systems, by Bateman, et al Pyrotechnic Shock Testing: Pyrotechnic Shock Testing: Real Test Lab Experiences at EBA&D, by Keon (slide presentation)

Avionics & Circuit Board Response to Shock

Designing Electronics for Pyrotechnic Shock By Henry Luhrs
Shock Response Spectrum Analysis via the Finite Element Method
Shock & Vibration Fatigue Criteria for Electrical Components
Shock Analysis of Avionics Mounting Bolts
Crystal Oscillator Mounting for Shock and Vibration

Earthquake Engineering

An Introduction to Earthquakes
Transamerica Pyramid Design
Golden Gate Bridge
Seismic Response Spectra
Newmark-Hall Method for Design Response Spectra
U.S. Army, Response Spectra and Seismic Analysis for Concrete Hydraulic Structures
Building Response to Seismic Excitation
An Implementation of the ANSI Standard C37.98. The Swedish National Testing and Research Institute.
Building Vibration Standards
Caltrans Seismic Design Criteria v1.2
Caltrans Transportation Related Earthborne Vibration
USGS - Loma Prieta Earthquake
Hector Mine Earthquake Seismogram
Professor Otani, Disaster Mitigation Engineering - The Kobe Earthquake Disaster
DOE-STD-1020-94. Contains chapter on earthquake design and evaluation criteria

Seismology Tutorials

Seismic Phase List
J. Havskov, Instrumentation in Earthquake Seismology

Earthquake Data

El Centro 1940 Earthquake, Time History Data File, North-South Component

Transportation Shock & Vibration

U.S. Army TB 55-100, Transportability Criteria for Shock & Vibration
An Assessment of the Common Carrier Shipping Environment, Forest Service, U.S. Dept. of Agriculture, 1979
Procedures for Testing Packaged Products
U.S. Navy Technical Brief, Design Reference Mission Profile
Noise and Vibration Aspects on Railway Goods Transportation
Transportation Shock Due to Speed Bumps and Road Obstacles
NASA SP-8057 Structural Design Criteria Applicable to a Space Shuttle
NASA SP-8077 Transportation and Handling Loads
NASA SP-8104 Structural Interaction with Transportation and Handling Systems
STRUCTURAL DYNAMICS - DISCRETE SYSTEMS
Free Vibration of a Single-Degree-of-Freedom System
The Response of a Single-Degree-of-Freedom System to Excitation from Random Surface Irregularities. (The input function may be a spatial power spectral density)
Free Vibration of a Two-Degree-of-Freedom System Subjected to Initial Velocity and Displacement:
The Generalized Coordinate Method for Discrete Systems
The Generalized Coordinate Method for Discrete Systems Subjected to Base Excitation
Shock Response of Multi-degree-of-freedom Systems
Effective Modal Mass & Modal Participation Factors
Sample Lateral Natural Frequency Calculations for a Space Vehicle/Dispenser Analysis
STRUCTURAL DYNAMICS - BEAMS & RODS

Bending Frequencies of Beams, Rods, and Pipes
Bending Frequency of a Fixed-Fixed Beam via the Rayleigh Method
Natural Frequencies of Composite Beams
Natural Frequencies of Multispan Beams
Natural Frequencies of Beams Subjected to a Uniform Axial Load
Steady-State Vibration Response of a Cantilever Beam Subjected to Base Excitation
Longitudinal Natural Frequencies of Rods
Longitudinal Vibration of a Tapered Rod
Chladni Patterns
Buckling and Vibration Analysis of a Simply Supported Column With A Piecewise Constant Cross Section By Mark S. Lake and Martin M. Mikulas, Jr.

Plates

Natural Frequencies of Rectangular Plate Bending Modes
Natural Frequencies of Circular Plate Bending Modes

Natural Frequencies of Honeycomb Plates
The Fundamental Frequency of an Isolated Circular Plate
The Fundamental Frequency of an Isolated Annular Plate
The Fundamental Bending Frequency of a Square Plate with Fixed Corners and Otherwise Free Edges (Point-Supported at Each Corner)
The Natural Frequency of a Rectangular Plate Point-Supported at Each Corner:
The Fundamental Bending Frequency of a Plate with Fixed-Free-Free-Free Boundary Conditions:
Samuel Levy, Square Plate with Clamped Edges Under Normal Pressure Producing Large Deflections:
Samuel Levy & Samuel Geenman, Bending with Large Deflection of a Clamped Rectangular Plate with Length Width Ratio of 1.5 under Normal Pressure
Kang, Huang & Knowles, Torsional Vibrations of Circular Elastic Plates with Thickness Steps:
Eric Reissner & Manuel Stein, Torsion and Transverse Bending of Cantilever Plates
Arthur W. Leissa, NASA SP-160, Vibration of Plates
RINGS & CYLINDERS
Ring Vibration Modes
Natural Frequencies of an Infinite Cylinder with Plain Strain
Vibroacoustic Response of a Cylinder
Natural Frequencies of a Finite, Thin-Walled Cylindrical ShellMatlab Scripts
Bing-ru, et al, Study on applicability of modal analysis of thin finite length cylindrical shells using wave propagation approach
Pellicano, Linear and Nonlinear Vibration of Shells:
CONES
Murphy, Transverse Vibration of a Simply Supported Frustum of a Right Circular Cone
Platus, Conical Shell Vibrations
Backlund, Jesper, Free Vibration Analysis of Rocket Nozzles Using Energy Methods:
Sewall and Catherines, Analytical Vibration Study of a Ring-Stiffened Conical Shell and Comparison with Experiment, NASA TN D-5663
Derivation of the Volume of a Cone and of a Conical Shell
STRINGS, ROPES, & CABLES
String Vibration
Stefan Kaczmarczyk, Resonance Phenomena in Tension Members with Time--Varying Varying Characteristics
ACOUSTICS - FINITE ELEMENT METHOD

Acoustic Pressure Oscillation in a Pipe via the Finite Element Method
Acoustic Pressure Oscillation in a Two-Dimensional Pressure Field via the Finite Element Method using Triangular Elements
BEAM VIBRATION - FINITE ELEMENT METHOD
Longitudinal Vibration of a Rod via the Finite Element Method
Longitudinal Vibration of a Tapered Rod via the Finite Element Method
Transverse Vibration of a Beam via the Finite Element Method
Vibration of a Beam-Column via the Finite Element Method
Transverse Vibration of a Cantilever Beam Subjected to a Constant Axial Load
Transverse Vibration of a Simply-Supported Beam Subjected to a Constant Axial Load
Transverse Vibration of a Fixed-Fixed Beam Subjected to a Constant Axial Load
STRUCTURAL DYNAMICS - FINITE ELEMENT METHOD
Linear Buckling Analysis Using an Eigenvalue Solution
Effective Modal Mass & Modal Participation Factors
The Generalized Coordinate Method for Discrete Systems
Notes on Finite Element Modeling of Isolated Components
Notes on Mode Shape and Bending Gain Units in Nastran
Shock Response Spectrum Analysis via the Finite Element Method
COMPONENT MODE SYNTHESIS
Ulf Sellgren, Component Mode Synthesis - A Method for Efficient Dynamic Simulation of Complex Technical Systems
Component Mode Synthesis, Fixed-Interface Model
Load Transfer Matrix
Scott Gordon, The Craig-Bampton Method, NASA/Goddard Space Flight Center:
EIGENVALUE PROBLEM
The Generalized Eigenvalue Problem
Mass Condensation (Guyan Reduction)
Matrix Deflation for Removing the Rigid-Body Mode from the Generalized Eigenvalue Problem
SINE VIBRATION
Free Vibration of a Single-Degree-of-Freedom System
The Total Response of Single-degree-of-freedom System to a Harmonic Excitation Force
The Steady-state Response of Single-degree-of-freedom System to a Harmonic Excitation Force
The Steady-state Response of Single-degree-of-freedom System to a Harmonic Base Excitation
The Steady-state Relative Displacement Response to Base Excitation
Dynamic Analysis of a Mass-Damper System
U.S. Naval Academy, Single-degree-of-freedom Systems, Harmonic Excitation
Sine Sweep Frequency Parameters
NASA Sine Burst Testing
The State Space Method for Solving Shock and Vibration Problems

Waves

Notes on Mechanical Shock and Vibration Waves
The Earth in our Hands: Tsunami

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