Conditional Linearization in Nonlinear Random Vibration
Publication: Journal of Engineering Mechanics
Volume 122, Issue 3
Abstract
In this paper, an improved probabilistic linearization approach is developed to study the response of nonlinear single degree of freedom (SDOF) systems under narrow-band inputs. An integral equation for the probability density function (PDF) of the envelope is derived. This equation is solved using an iterative scheme. The technique is applied to study the hardening type Duffing's oscillator under narrow-band excitation. The results compare favorably with those obtained using numerical simulation. In particular, the bimodal nature of the PDF for the response envelope for certain parameter ranges is brought out.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 122 • Issue 3 • March 1996
Pages: 197 - 200
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Mar 1, 1996
Published in print: Mar 1996
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