Derivation of the Ramp Invariant Filter for Shock Response Spectrum Calculations

Mr. David Smallwood, Consultant

Abstract:
The ramp invariant digital simulation of a single Degree of freedom resonator has become the de facto standard for computing the shock response spectrum (SRS). The derivation of this filter is presented. The filter is also compared the impulse invariant filter (the first digital filter used for SRS calculations) and the bilinear transformation to explain why the ramp invariant simulation was chosen. The strengths and limitations of the filter will be discussed.

This material should be viewed as a tutorial for those who want to know the details of the SRS calculation.

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