Dynamic Analysis of Nonuniform Beams With Time-Dependent Elastic Boundary Conditions

[+] Author and Article Information
Sen Yung Lee

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

Shueei Muh Lin

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

J. Appl. Mech 63(2), 474-478 (Jun 01, 1996) (5 pages) doi:10.1115/1.2788892 History: Received September 12, 1994; Revised March 22, 1995; Online October 26, 2007


The dynamic response of a nonuniform beam with time-dependent elastic boundary conditions is studied by generalizing the method of Mindlin-Goodman and utilizing the exact solutions of general elastically restrained nonuniform beams given by Lee and Kuo. The time-dependent elastic boundary conditions for the beam are formulated. A general form of change of dependent variable is introduced and the shifting polynomials of the third-order degree, instead of the fifth-order degree polynomials taken by Mindlin-Goodman, are selected. The physical meaning of these shifting polynomial functions are explored. Finally, the limiting cases are discussed and several examples are given to illustrate the analysis.

Copyright © 1996 by The American Society of Mechanical Engineers
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