A Logical Function Method for Dynamic and Design Sensitivity Analysis of Mechanical Systems With Intermittent Motion

[+] Author and Article Information
P. E. Ehle

Office of the Chief of Staff, United States Army, Washington, D.C. 20310

E. J. Haug

The University of Iowa, Iowa City, Iowa 52242

J. Mech. Des 104(1), 90-100 (Jan 01, 1982) (11 pages) doi:10.1115/1.3256332 History: Received June 01, 1980; Online November 17, 2009


Dynamic and design sensitivity analysis of mechanisms and machines with intermittent motion are accomplished through introduction of “logical functions” to approximate discontinuities and special features of system motion. The Heaviside step function and the delta and unit doublet distributions are introduced to represent discontinuities and to determine the values of certain functions of isolated times. These functions and distributions are approximated by smooth functions, and validity of the approximation is argued both mathematically and physically. A numerical method is then presented for analysis of the approximate problem. An elementary and a complex, realistic example are presented to illustrate applications of the method.

Copyright © 1982 by ASME
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