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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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|
|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|
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