RESEARCH PAPERS: Mechanisms Papers

A Lumped Parameter Approach to Vibration and Stress Analysis of Elastic Linkages

[+] Author and Article Information
J. P. Sadler

Department of Mechanical Engineering, State University of New York at Buffalo, Buffalo, N. Y.

G. N. Sandor

Division of Machines and Structures, Rensselaer Polytechnic Institute, Troy, N. Y.

J. Eng. Ind 95(2), 549-557 (May 01, 1973) (9 pages) doi:10.1115/1.3438189 History: Received June 22, 1972; Online July 15, 2010


A method of kineto-elastodynamic analysis is developed employing lumped parameter models for simulating moving mechanism components considered as simply-supported beams subject to in-plane bending. Application of finite difference approximations to Euler’s beam theory leads to a system of nonlinear, ordinary differential equations of motion, and numerical solution of these equations is illustrated for specific examples. Variable as well as uniform cross-section members are analyzed for elastic vibration and stresses. By means of a general optimization procedure presented, nonuniform beam contours are obtained which provide a substantial stress reduction relative to the uniform case, without a corresponding increase in total mass.

Copyright © 1973 by ASME
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