Introduction to
the Vibration Response Spectrum


Use of the Vibration Response
Spectrum to Evaluate Flight Data Compliance with Test Specification
Levels

VRS_case_history.pdf 
Derivation of
Miles Equation for Base Excitation


Robert L. Towner,
NASA
Practical
Approach for Random Load Factors
PowerPoint
Presentation, FEA model, and Handcalculation notes.


Derivation of
Miles Equation for Relative Displacement Response to Base Excitation


Derivation of
Miles Equation for Applied Force


Simmons, Miles
Equation


Application of
Miles Equation to Multidegreesoffreedom Systems
(Refer to Section 3.2.1.2 of this Document)


Robin
Ferebee & Jess Jones, Comparison of Miles' Relationship to the
True
Mean Square Value of Response for a Singledegreeoffreedom System 
Ferebee_Miles.pdf 
Enveloping Data
via the Vibration Response Spectrum


Deriving a Random Vibration Maximum Expected Level with Consideration
for Kurtosis 
envelope_kurtosis.pdf 
Optimizing a
Circuit Board Natural Frequency with Respect to Random Vibration.
The optimization is achieved using the vibration response spectrum.


Equivalent Shock
and Vibration Tests for Quasistatic Acceleration


Methods for
Converting a Power Spectral Density to a Shock Response Spectrum


Equivalent Static
Load for Random Vibration. The static load is taken from the
threesigma vibration response.


Partial Fractions
in Shock and Vibration Analysis

