Acceleration
Equivalent Static Load for Random Vibration. The static load is taken from the threesigma vibration response.
Equivalent Static Load for Sine Vibration
Equivalent Shock and Vibration Tests for Quasistatic Acceleration
MILSTD810F, 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 LowFrequency 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 9603
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 TwoDimensional 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 SP8072, Acoustic Loads Generated by the Propulsion System
NASA KSC12061 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 9603
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
NASASTD7001 Payload Vibroacoustic Test Criteria
NASASTD7002 Payload Test Requirements
NASASTD5002 Load Analysis of Spacecraft and Payloads
Acoustic and Random Vibration Test Tailoring for LowCost 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. WA99
WIND ENGINEERING, FLUID DYNAMICS, AND AEROELASTICITY
Natural Frequencies of Fluid Systems
Added Mass for a Singledegreeoffreedom 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 SP8003 Flutter, Buzz, and Divergence
NASA SP8004 Panel Flutter
Flutter and Oscillating AirForce Calculations for an Airfoil in a TwoDimensional Supersonic FlowOverview 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 TN751 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 ThinWalled Circular Cylinders
Buckling of ThinWalled Truncated Cones
Buckling of ThinWalled 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 fullscale 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 I15 South Temple BridgeTransit Noise and Vibration Impact Assessment
Transportation and ConstructionInduced 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 SineBurst Load Test
NASA Acoustic Noise Requirement
NASA Combination Methods for Deriving Structural Design Loads
NASA Force Limited Vibration Testing, by T. Sharton
NASASTD7001 Payload Vibroacoustic Test Criteria
NASASTD7002 Payload Test Requirements
NASASTD5002 Load Analysis of Spacecraft and Payloads
NASASTD8739.1, Workmanship Standard for Staking and Conformal Coating of Printed Wiring Boards and Electronic Assemblies
Acoustic and Random Vibration Test Tailoring for LowCost Missions by John C. Forgrave, Kin F. Man, and James M. Newell
MILITARY TESTING STANDARDS
MILSTD1671 Mechanical Vibration of Shipboard Equipment
MILHDBK340A Test Requirements for Launch, UpperStage, and Space Vehicles
MILHDBK5J Metallic Materials and Elements for Aerospace Vehicle Structures
MILSTD1540B, Test Requirements for Space Vehicles
MILSTD1540C, Test Requirements for Launch, UpperStage & Space Vehicles
MILSTD1540D Product Verification Requirements for Launch, UpperStage, and Space Vehicles
MILSTD810F, Method 513.5, Acceleration
MILSTD810F, Method 514.5 Vibration
MILSTD810F, Method 516.5 Shock
MILSTD810F, Method 517 Pyroshock
MILSTD810F, Method 515.5 Acoustic Noise
MILS901D,
Shock Tests, High Impact, Shipboard Machinery, Equipment, and Systems,
Requirements for; Department of Defense, 1989.
Eastern & Western Range EWR 1271
RCC 319 Chapter 8
DODHDBK343, Design, Construction, and Testing Requirements for One of a Kind Space Equipment
NAVMAT P9492, Navy Manufacturing Screening Program
U.S. Army TB 55100, Transportability Criteria for Shock and Vibration
ITOP12601 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, R198
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 CrossReference
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 fullscale 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 Sixdegreesoffreedom
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
TimeScaling Equivalence Methods for Random Vibration Testing
Fackler, SVM9, 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, SVM9, Equivalence Techniques for Vibration Testing
Franken, Scharton, Mack, Comparison of Mariner AssemblyLevel and SpacecraftLevel Vibration TestsRice and Buehrle, Validation of Force Limited Vibration Testing at NASA Langley Research Center
Heinrichs, Feasibility of ForceControlled 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 GeneralPurpose 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 fullscale 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 FixedFixed 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 PointSupported at Each Corner
RayleighRitz Method
RayleighRitz 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 Singledegreeoffreedom 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, SVM1, Random Noise and Vibration in Space Vehicles
NASA CR1302 Summary of Random Vibration Prediction Procedures
NASA CR1596 Assessment of Space Vehicle AeroacousticVibration Prediction, Design, and Testing
NASA SP8072, 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, SR19 & M57A1 Motor Resonances
Vibration in Rocket Vehicles due to Combustion Instability
NASA SP8055 Prevention of Coupled StructurePropulsion Instability (POGO)
Main Engine CutOff (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 SP8009 Propellant Slosh Loads
NASA SP8031 Slosh Suppresion
OTHER ROCKET VEHICLE & SPACECRAFT TUTORIALS
General Electric, Missile Vibration Control
Evolved Expendable Launch Vehicle Standard Interface Specification Version 6.0
(EELV SIS)
NASAHDBK7005 Dynamic Environmental Criteria
NASA SP5002 Load Analyses of Spacecraft and Payloads
NASA SP8012 Natural Modal Vibration Analysis
NASA SP8016 Effects of Structural Flexibility on Spacecraft Control Systems
NASA SP8022 Staging Loads
NASA SP8030 Transient Loads from Thrust Excitation
NASA SP8035 Wind Loads During Ascent
NASA SP8050 Structural Vibration Prediction
NASA SP8056 Flight Separation Mechanisms
NASA SP8077 Transportation and Handling Loads
NASA SP8099 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 loglog 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 stepbystep software program instructions.
Equivalent Static Load for Random Vibration. The static load is taken from the threesigma 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, SVM9, 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 SingleDegreeofFreedom 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.
TimeScaling Equivalence Methods for Random Vibration Testing
Vibration Fatigue Criteria for Electrical Components
Random Vibration Testing
Random Vibration BandSplitting, 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 RayleighRitz Method to Verify Launch Vehicle Bending Mode:
A Time Domain, CurveFitting Method for Accelerometer Data Analysis
Waveform Reconstruction via Wavelets (NASA version)
Waveform Reconstruction via Wavelets (Aerospace/JPL Conference version)
RAILWAY VIBRATION TUTORIALS
HighSpeed 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 TP1597, 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 DDAMType 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 09080LP0003010, Shock Design Criteria for Surface Ships
MILSTD1671 Mechanical Vibration of Shipboard Equipment
MILS901D,
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 Multidegreeoffreedom 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 HalfSine Pulse
Response of a Singledegreeoffreedom System Subjected to a Unit Step Displacement
Response of a Singledegreeoffreedom System Subjected to a Classical Pulse Base Excitation:
Response of a Singledegreeoffreedom System Subjected to a Terminal Sawtooth Base Excitation: Response of a Singledegreeoffreedom 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/RGM109D 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
MILSTD810F, 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
VBand Separation Shock Characteristics, by K.Y. Chang
Pyrotechnic Shock Simulation in the Test Lab
High G Pyrotechnic Shock Simulation Using MetaltoMetal 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
MultiDegreeofFreedom 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
NewmarkHall 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
DOESTD102094. 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, NorthSouth Component
Transportation Shock & Vibration
U.S. Army TB 55100, 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 SP8057 Structural Design Criteria Applicable to a Space Shuttle
NASA SP8077 Transportation and Handling Loads
NASA SP8104 Structural Interaction with Transportation and Handling Systems
STRUCTURAL DYNAMICS  DISCRETE SYSTEMS
Free Vibration of a SingleDegreeofFreedom System
The
Response of a SingleDegreeofFreedom System to Excitation from Random
Surface Irregularities. (The input function may be a spatial power
spectral density)
Free Vibration of a TwoDegreeofFreedom 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 Multidegreeoffreedom 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 FixedFixed 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
SteadyState 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 (PointSupported at Each Corner)
The Natural Frequency of a Rectangular Plate PointSupported at Each Corner:
The Fundamental Bending Frequency of a Plate with FixedFreeFreeFree 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 SP160, 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, ThinWalled Cylindrical ShellMatlab Scripts
Bingru,
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 RingStiffened Conical
Shell and Comparison with Experiment, NASA TN D5663
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 TimeVarying Varying Characteristics
ACOUSTICS  FINITE ELEMENT METHOD
Acoustic Pressure Oscillation in a Pipe via the Finite Element Method
Acoustic Pressure Oscillation in a TwoDimensional 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 BeamColumn via the Finite Element Method
Transverse Vibration of a Cantilever Beam Subjected to a Constant Axial Load
Transverse Vibration of a SimplySupported Beam Subjected to a Constant Axial Load
Transverse Vibration of a FixedFixed 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, FixedInterface Model
Load Transfer Matrix
Scott Gordon, The CraigBampton Method, NASA/Goddard Space Flight Center:
EIGENVALUE PROBLEM
The Generalized Eigenvalue Problem
Mass Condensation (Guyan Reduction)
Matrix Deflation for Removing the RigidBody Mode from the Generalized Eigenvalue Problem
SINE VIBRATION
Free Vibration of a SingleDegreeofFreedom System
The Total Response of Singledegreeoffreedom System to a Harmonic Excitation Force
The Steadystate Response of Singledegreeoffreedom System to a Harmonic Excitation Force
The Steadystate Response of Singledegreeoffreedom System to a Harmonic Base Excitation
The Steadystate Relative Displacement Response to Base Excitation
Dynamic Analysis of a MassDamper System
U.S. Naval Academy, Singledegreeoffreedom 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
