Worst inputs and a bound on the highest peak statistics of a class of non-linear systems

Narayana Iyengar, R (1972) Worst inputs and a bound on the highest peak statistics of a class of non-linear systems. In: Journal of Sound and Vibration, 25 (1). pp. 29-37.

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Abstract

A method is developed by which the input leading to the highest possible response in an interval of time can be determined for a class of non-linear systems. The input, if deterministic, is constrained to have a known finite energy (or norm) in the interval under consideration. In the case of random inputs, the energy is constrained to have a known probability distribution function. The approach has applications when a system has to be put to maximum advantage by getting the largest possible output or when a system has to be designed to the highest maximum response with only the input energy or the energy distribution known. The method is also useful in arriving at a bound on the highest peak distribution of the response, when the excitation is a known random process.As an illustration the Duffing oscillator has been analysed and some numerical results have also been presented.

Item Type:	Journal Article
Publication:	Journal of Sound and Vibration
Publisher:	Elsevier Science
Additional Information:	Copyright of this article belongs to Elsevier Science.
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	13 Jul 2010 06:28
Last Modified:	19 Sep 2010 06:10
URI:	http://eprints.iisc.ac.in/id/eprint/29147

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