A General Approach on the Mechanical Analysis of Nonuniform Beams With Nonhomogeneous Elastic Boundary Conditions

[+] Author and Article Information
Sen Yung Lee, Terry Yuan-Fang Chen

Mechanical Engineering Department, National Cheng Kung University, Tainan, Taiwan 701, Republic of China

Wen Rong Wang

Mechanical Engineering Department, Kung Shan Institute of Technology, Tainan, Taiwan 710, Republic of China

J. Vib. Acoust 120(1), 164-169 (Jan 01, 1998) (6 pages) doi:10.1115/1.2893800 History: Received October 01, 1995; Online February 26, 2008


The dynamic and static response of a nonuniform beam with nonhomogeneous elastic boundary conditions is studied by generalizing the method of Mindlin-Goodman and utilizing the exact solutions of general elastically restrained non-uniform beams given by Lee and Kuo. A general form of change of dependent variable is introduced and the shifting functions expressed in terms of the four fundamental solutions of the system, instead of the fifth degree polynomials taken by Mindlin-Goodman, are selected. The physical meanings of these shifting polynomial functions are explored. Finally, the limiting cases are discussed and examples are given to illustrate the analysis.

Copyright © 1998 by The American Society of Mechanical Engineers
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