1968-02-01

Techniques for Optimizing the Response of Mechanical Systems to Shock and Vibration 680748

An introduction is given to some mathematical optimization techniques applicable to shock and vibration absorbers and isolators. Simple tutorial examples are presented illustrating the Phillips and Wiener procedures and the method of Minimization of Auxiliary Effort.
For shock inputs, optimization criteria of the form “minimize the maximum value of x(t)” are important. It is shown that these can be approximated by the more tractable criterion “minimize with suitable T” using conveniently small values of n. Published applications of optimization techniques to shock and vibration are briefly reviewed.

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