Research Article
Oct 1977
Highest Peak Distribution in Time Varying Systems
Authors: Narayana R. Iyengar and Prafulla K. DashAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 103, Issue 5
Abstract
Upper and lower bounds have been developed for the probability distribution function of the highest absolute response of a linear time varying system under random inputs in a given interval of time. The system itself can be either deterministic or stochastic. Explicit expressions have been derived for a single degree-of-freedom system with typical deterministic and stochastic process coefficient terms and excited by white noise. Numerical results are presented and are compared with digitally simulated highest peak statistics. For small perturbations around the deterministic time invariant system, the method leads to very sharp bounds.
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Published In
Journal of the Engineering Mechanics Division
Volume 103 • Issue 5 • October 1977
Pages: 869 - 879
Copyright
© 1977 American Society of Civil Engineers.
History
Published in print: Oct 1977
Published online: Feb 3, 2021
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Authors
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Narayana R. Iyengar
Asst. Prof., Dept. of Civ. Engrg., Indian Inst. of Sci., Bangalore, India
Prafulla K. Dash
Sr. Research Fellow, Dept. of Aeronautical Engrg., Indian Inst.of Sci., Bangalore, India
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.