Response spectra analysis for undamped structural systems subjected to half-sine impact acceleration pulses

In this paper, we derive closed-form solutions for transient structural responses of an undamped single degree of freedom structural system subjected to an impact acceleration pulse of a half-sine waveform. The application of the response spectra to a specific printed circuit board is demonstrated. An insight is also provided to analyzing transient structural responses of a multiple degrees of freedom structural system led by the same type of impact acceleration pulses through modal superposition.