Analytical Kinematic Expressions for Pseudo-velocity Shock Response Spectra of Generally Damped Linear Systems
Dr. R. David Hampton, U.S. Military Academy

Kip P. Nygren, U.S. Military Academy
CPT (P) Jared Erickson, U.S. Military Academy
Ting H. Li, U.S. Army Research Laboratory (Adelphi, MD)

Abstract:

Algebraic expressions were recently reported for the time-domain response of a base-excited mass-spring-damper (MSD) system to certain analytical inputs.  These local, seismic inputs were idealized as stemming from remote shock inputs filtered through an arbitrary linear system’s eigenstructure, under the assumption of proportional (Rayleigh) damping.  Remote shock inputs of three forms were considered: (1) an ideal impulse, (2) a rectangular pulse, and (3) a saw-tooth pulse.  The MSD kinematic responses were used to determine Shock Response Spectra (SRS) without necessitating numerical evaluation of a convolution integral.  The present paper determines corresponding analytical expressions for the case of a generally damped (not necessarily Rayleigh-damped) linear system subject to a remote ideal impulse.

To return to the Program, use the back button above