The Optimal Mode and an Approximate Expression of Final Displacement in Dynamic Plastic Response of Structures

[+] Author and Article Information
Zhu-ping Huang

Department of Mechanics, Peking University, Beijing 100871, China

Li-zhi Sun

Laboratory of Fatigue and Fracture of Materials, Institute of Metal Research, Academia Sinica, Shen-yang 110015, China

J. Appl. Mech 59(1), 33-38 (Mar 01, 1992) (6 pages) doi:10.1115/1.2899461 History: Received November 09, 1989; Revised March 04, 1991; Online March 31, 2008


The paper is concerned with the dynamic response of impulsively loaded rigid-perfectly plastic structures. By combining the mode approximation technique with the upper and the lower bound theorems, we have derived a set of sequential inequalities on the final displacement of the structure. This can be applied to give a reasonable explanation for the criterion of choosing an optimal mode proposed by Symonds (1980). In addition, an approximate expression of the final displacement of the structure is suggested in cases where the “mode approximation” apparently works poorly. Finally, the suggested expression is also illustrated by examples.

Copyright © 1992 by The American Society of Mechanical Engineers
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