Title

Non-normal stochastic response of Linear Systems

Document Type

Article

Date of Original Version

1-1-1986

Abstract

Conventional analysis of mean squared values is extended to calculation of the fourth moment of the response of a linear system. This provides a way to investigate the non-normality of structural response, due to a nonnormal excitation. Studies are made for a linear SDF structure subjected to fairly simple non-normal forces, which include a "white noise" process and filtered processes. Each filtered non-normal process is generated by passing a "white noise" non-normal process through a linear second-order filter. The non-normality of the structural response is investigated by integration in both the time domain and the frequency domain and by a more efficient technique that is an extension of the Lyapunov equation. This latter method reduce^ the calculation of the fourth moment of the response to solving a set of simultaneous linear algebraic equations. © ASCE.

Publication Title

Journal of Engineering Mechanics

Volume

112

Issue

2

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