RESEARCH PAPERS: Design Automation Papers

Optimum Synthesis of Thin-Walled Vibrating Beams With Coupled Bending and Torsion

[+] Author and Article Information
R. V. Grandhi, J. K. Moradmand

Department of Mechanical Systems Engineering, Wright State University, Dayton, OH 45435

J. Mech., Trans., and Automation 111(4), 555-560 (Dec 01, 1989) (6 pages) doi:10.1115/1.3259037 History: Received October 01, 1988; Online November 19, 2009


This paper considers the optimum structural design of vibrating beams in which the inertial axes and the elastic axes are noncollinear. The condition of noncollinear axes exists in structures having unsymmetric cross-sections. For unsymmetric cross-sections the centroid and the shear center do not coincide. This results in coupling between some of the bending and torsional modes. This paper presents results for the simply supported and cantilever beams with a thin-walled channel cross-section. The minimization of the structural volume subject to multiple frequency constraints and its dual problem of maximization of the fundamental frequency subject to a volume constraint are considered. A quadratic extended interior penalty function with Newton’s method of unconstrained minimization is used in structural optimization. The structures considered have nonstructural masses besides their own mass.

Copyright © 1989 by ASME
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