Constrained Substructure Approach to Optimal Strain Energy Analysis

[+] Author and Article Information
Donald J. Leo

Center for Intelligent Material Systems and Structures, Mail Code 0261 Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

Eric M. Austin

Mechanical Engineering Department Clemson University, Clemson, SC 29632

Christopher Beattie

Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

J. Vib. Acoust 123(3), 340-346 (Dec 01, 2000) (7 pages) doi:10.1115/1.1368117 History: Received November 01, 1999; Revised December 01, 2000
Copyright © 2001 by ASME
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Grahic Jump Location
Optimal and suboptimal solutions for the case p<r
Grahic Jump Location
Geometry of the beam finite element model used in the numerical examples. Node numbers are circled.
Grahic Jump Location
(a) Percent strain energy in the first five beam modes. (b) Optimal stiffness values. Negative stiffness is denoted with a circle (○), positive stiffness is denoted with a star (⋆).
Grahic Jump Location
(a) Strain energy ratio curves computed for the suboptimal analysis: λρAL4/EI=8.1 (solid), λρAL4/EI=11.2 (dashed). (b) Comparison of optimal (dashed) and suboptimal (solid) percent strain energy in the first mode.



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