The Lumped Parameter Method for Elastic Impact Problems

[+] Author and Article Information
Y. Lee

Davey Laboratory, Physics Department, The Pennsylvania State University, State College, Pa. 16801

J. F. Hamilton

Ray W. Herrick Laboratories, School of Mechanical Engineering, Purdue University, W. Lafayette, Ind. 47907

J. W. Sullivan

School of Mechanical Engineering, Purdue University, W. Lafayette, Ind. 47907

J. Appl. Mech 50(4a), 823-827 (Dec 01, 1983) (5 pages) doi:10.1115/1.3167152 History: Received September 01, 1982; Revised February 01, 1983; Online July 21, 2009


Transverse impact problems have recently been solved by several different methods including Timoshenko’s integral equation method, the energy method, and the finite element method. This paper presents a lumped parameter method (LMP) for impact analysis, which is attractive for the solutions of impact of complex bodies. The advantages are in its simplification of mathematical formulation, computational efficiency, and improved understanding of the coupling effect of excited modes on the occurrence of multiple impacts. Experimentally obtained information of the dynamic characteristics of these impacting bodies permit easy extension to nonsimple body shapes.

Copyright © 1983 by ASME
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