ON FREE VIBRATION OF STRUCTURES WITH DIFFERENT TENSION AND COMPRESSION MODULI.
College
Engineering and Computer Science
Department
Ocean and Mechanical Engineering
Document Type
Conference Proceeding
Publication/Event/Conference Title
American Society of Mechanical Engineers Applied Mechanics Division AMD
Publication Status
Version of Record
Abstract
Some aspects of nonlinear free vibration of bimodular structures behaving dissimilarly in tension and in compression are elucidated. It is shown that, in general, the character of the vibration is governed by the breakpoint in the restoring force versus displacement graph: when the latter is outside the coordinate origin, the vibration is nonisochronous, i. e. , dependent on the vibration half-throws; when the breakpoint is at the origin, there is no such dependence. An exact solution is given for the case in which the graph consists of a straight-line portion and a cubic-curve portion.
First Page
33
Last Page
40
Publication Date
12-1-1985
Recommended Citation
Elishakoff, I.; Birman, V.; and Bert, C. W., "ON FREE VIBRATION OF STRUCTURES WITH DIFFERENT TENSION AND COMPRESSION MODULI." (1985). Faculty Scholarship. 659.
https://digitalcommons.fau.edu/faculty_papers/659