Extension of the shock damage bounds to general shock loads

Abstract

This study proves that the shock damage bounds derived in [1] for shock loads represented by individual shock-waveform signals are valid for general shock signals. The proof is built on two recent findings, i.e. (i) a general shock signal can be decomposed into a finite number of shock-waveform components, and (ii) the shock response spectrum of the original shock signal is geometrically similar to the envelope of the shock response spectra of all decomposed shock-waveform components. This work further consolidates the legitimacy of the shock damage bounds proposed in [1].