Welcome to Vibrationdata Equivalent Static Load

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Tutorials

Equivalent Static Load for Random Vibration. The static load is taken from the three-sigma vibration response: eqstatic.pdf   
Related Rayleigh distribution program: peak_response_random.exe
H.M. Lee, Testing for Random Limit Load Versus Static Limit Load, NASA TM-108542: Lee1.pdf
H.M. Lee, A Simplistic Look at Limit Stresses from Random Loading, NASA TM-108427: Lee2.pdf
Force-limited Acceleration Spectra Derivation by Random Vibration Analysis: Methodological Cases and Industrial Application: Trittoni_Force_limited.pdf
Introduction to the Vibration Response Spectrum: vrs.pdf 
Derivation of Miles Equation for Base Excitation:  Miles.pdf
See also: Vibration Response Spectrum
Cantilever Beam Analysis
Equivalent Static Load for a Cantilever Beam Subjected to Base Excitation, Part I: Sine Input: eqs_cantilever.pdf
Steady-State Vibration Response of a Cantilever Beam Subjected to Base Excitation: steady_cant.pdf
Bending Frequencies of Beams, Rods, and Pipes: beam.pdf  
Matlab Script: cantilever_beam.m
Robert L. Towner, NASA
Practical Approach for Random Load Factors RLF.pdf
PowerPoint Presentation, FEA model, and Hand-calculation notes RandomLoadFactors.pdf

Software Description

 Executable

  Source

 Vibration response spectrum of a single-degree-of-freedom system subjected to base excitation.
  vrs.exe
  vrs.cpp
SDOF fatigue calculation for a given PSD input. The fatigue metric is in terms of acceleration raised to a fatigue exponent.
vrs_fatigue.exe
vrs_fatigue.cpp
SDOF fatigue calculation for a given base excitation time history. The fatigue metric is in terms of acceleration raised to a fatigue exponent.
qsrs_fatigue.exe
qsrs_fatigue.cpp
Response of an individual single-degree-of-freedom system to base excitation.
 sdof_ran.exe
 sdof_ran.cpp
 Response of an individual single-degree-of-freedom system to base excitation via Miles equation.
 miles.exe
 miles.cpp

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