Date of Award
Fall 1987
Document Type
Thesis
Department
Mechanical & Aerospace Engineering
Program/Concentration
Engineering Mechanics
Committee Director
Jean W. Hou
Committee Member
Chuh Mei
Committee Member
Thomas E. Alberts
Call Number for Print
Special Collections; LD4331.E57X83
Abstract
A finite element method is developed in this thesis for analyzing stepped beams under nonlinear free and forced vibrations. A new assumption is made to improve an existing finite element procedure for treating beams of nonuniform cross sections. The geometric nonlinearity results from the nonlinear, strain-displacement relation due to large deflection of a beam.
Based on an improved finite element procedure a computational method is then established for design sensitivity analyses of nonlinear eigenproblems pertaining to the free and forced nonlinear vibrations of beams. It is found that the equation for computing the design sensitivity of eigenvector is linear and nonsymmetric. A prior knowledge of the eigenvector design sensitivity is needed for the calculation of the eigenvalue sensitivity.
Numerical results show that the proposed computational methods are valid and efficient.
Rights
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DOI
10.25777/7064-yv56
Recommended Citation
Xue, Yong X..
"Analysis and Design Sensitivity Computations of Nonlinear Free and Forced Vibrations of Stepped Beams"
(1987). Thesis, Old Dominion University, DOI: 10.25777/7064-yv56
https://digitalcommons.odu.edu/mae_etds/755