A Caltech Library Service

Nonstationary Response of Linear Systems under Uncorrelated Parametric and External Excitations

Hou, Z. K. and Iwan, W. D. (1991) Nonstationary Response of Linear Systems under Uncorrelated Parametric and External Excitations. In: Stochastic Structural Dynamics 1. Springer Berlin Heidelberg , Berlin, Heidelberg, pp. 111-129. ISBN 9783642845338.

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item:


An explicit solution for the nonstationary second moment response and the evolutionary spectral density of the response of linear systems subjected to uncorrelated parametric and external excitations is obtained by a simplified state-variable approach. The excitations are modeled as suddenly applied white noise processes. The solution is expressed as a sum of the solution for the external excitation alone and a correction term which accounts for the effect of the parametric excitation. In the limiting stationary case, the total solution is proportional to the solution for the external solution alone. However, the proportionality does not hold during the nonstationary stage. The solution presented is conditionally stable. The effect of the parametric excitation on the second moment response is significant in certain cases, especially near the region of instablity where the intensity of the parametric excitation could be very small relative to that of the external excitation. It is also shown that the solution under the uncorrelated parametric and external excitations is exponentially stable for a general form of envelopes employed in engineering practice. Some numerical results are presented.

Item Type:Book Section
Related URLs:
URLURL TypeDescription ReadCube access
Additional Information:© Springer-Verlag Berlin, Heidelberg 1991. A version of this paper has appeared in the Proceedings of the Second International Conference on Stochastic Structural Dynamics. The authors acknowledge the permission from Springer-Verlag, publisher of the proceedings, to publish this article in the present journal.
Subject Keywords:Ground Motion; Parametric Excitation; External Excitation; White Noise Process; Nonstationary Solution
Record Number:CaltechAUTHORS:20201009-102844230
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105963
Deposited By: George Porter
Deposited On:09 Oct 2020 19:15
Last Modified:16 Nov 2021 18:48

Repository Staff Only: item control page