Using The Pseudo Velocity Shock Spectrum For Shock Damage Potential, Part 1.
Dr. Howard Gaberson, MFPT Society/SAVIAC

Abstract:
We start with shock spectrum definitions; and the pseudo velocity shock spectrum on four coordiate paper, (PVSS on 4CP). Next I summarize the reasons that make PVSS on 4CP best, and demonstrate the log-log four coordinate format.  A summary of how the calculations are made in Matlab, and how the paper is drawn.  We find that experimental shock data requires the least dynamic range when plotted in terms of peak velocities.  This leads into the theoretical proofs that for rods, beams, plates, shells, and their assemblies, that the maximum dynamic stress in any mode is proportional to the peak velocity of that mode.   This leads to the derivation of fundamental severe modal velocities for all structure.  History of the proofs; 1960 first observed velocity stress relationship.  Velocity is the thread.  Civil, nuclear defense, earthquake engineers adhere to this convention.  Constant velocity detection on acceleration SRS. 61.4 ips when g = f.  Half sine shock illustration.  Velocity change observation.  Comparing simple pulses shows they have similar SS, and can be compared to explosive and EQ shocks.  Pseudo velocity squared is proportional energy delivered by the shock and thus shows severe shock frequencies.  Four coordinate pseudo velocity plotting asymptotes show peak displacement, severity or velocity change, and peak acceleration.  Accuracy of asymptotes; the necessary shock spectrum form.  Simple shock drop heights can be read off  the 2g line. Acceleration integration issues; interpolate by 4 so that highest frequency is  fs/10.  Earthquake, Pyroshock, Explosion, drop, and collision examples.

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