Many military systems must be capable of sustained operation in the face of mechanical shocks due to projectile or other impacts. The most widely used method of quantifying a system’s vibratory transient response to shock loading is called the shock response spectrum (SRS). The system response for which the SRS is to be determined can be due, physically, either to a collocated or to a noncollocated shock loading. Taking into account both possibilities, one can define the SRS as follows: the SRS presents graphically the maximum transient response (output) of an imaginary ideal mass-spring-damper system at one point on a flexible structure, to a particular mechanical shock (input) applied to an arbitrary (perhaps noncollocated) point on the structure, as a function of the natural frequency of the imaginary mass-spring-damper system. For a response point sufficiently distant from the impact area, many Army platforms (such as vehicles) can be accurately treated as linear systems with proportional damping. In such cases the output due to an impulsive mechanical-shock input can be decomposed into exponentially decaying sinusoidal components, using normal-mode orthogonalization. Given a shock-induced loading comprising such components, this paper provides analytical expressions for the various common SRS forms. The analytical approach to SRS-determination can serve as a verification of, or an alternative to, the numerical approaches in current use for such systems. No numerical convolution is required, because the convolution integrals have already been accomplished analytically (and exactly), with the results incorporated into the algebraic expressions for the respective SRS forms.
Skip Nav Destination
ASME 7th Biennial Conference on Engineering Systems Design and Analysis
July 19–22, 2004
Manchester, England
ISBN:
0-7918-4173-1
PROCEEDINGS PAPER
Analytical Determination of Shock Response Spectra for an Impulse-Loaded Proportionally Damped System
R. David Hampton,
R. David Hampton
U.S. Military Academy, West Point, NY
Search for other works by this author on:
Nathan S. Wiedenman,
Nathan S. Wiedenman
U.S. Military Academy, West Point, NY
Search for other works by this author on:
Ting H. Li
Ting H. Li
U.S. Army Research Laboratory, Adelphi, MD
Search for other works by this author on:
R. David Hampton
U.S. Military Academy, West Point, NY
Nathan S. Wiedenman
U.S. Military Academy, West Point, NY
Ting H. Li
U.S. Army Research Laboratory, Adelphi, MD
Paper No:
ESDA2004-58024, pp. 521-527; 7 pages
Published Online:
November 11, 2008
Citation
Hampton, RD, Wiedenman, NS, & Li, TH. "Analytical Determination of Shock Response Spectra for an Impulse-Loaded Proportionally Damped System." Proceedings of the ASME 7th Biennial Conference on Engineering Systems Design and Analysis. Volume 1. Manchester, England. July 19–22, 2004. pp. 521-527. ASME. https://doi.org/10.1115/ESDA2004-58024
Download citation file:
4
Views
0
Citations
Related Proceedings Papers
Isolator Parameters Optimization for Shock Protection
IDETC-CIE2005
Related Articles
The Effect of Dual-Rate Suspension Damping on Vehicle Response to Transient Road Inputs
J. Vib. Acoust (February,2009)
Statistical Comparisons Between Qualification Tests for Gun-Fired Projectiles
J. Appl. Mech (September,2010)
On Frequency-Domain and Time-Domain Input Shaping for Multi-Mode Flexible Structures
J. Dyn. Sys., Meas., Control (September,2003)
Related Chapters
Preferred Numbers
Metric Standards for Worldwide Manufacturing, 2007 Edition
Real-Time Implementation and Intelligent Position Control of a Mass-Spring-Damper System
Intelligent Engineering Systems through Artificial Neural Networks, Volume 16
An Adaptive Fuzzy Control for a Multi-Degree-of-Freedom System
Intelligent Engineering Systems Through Artificial Neural Networks, Volume 17