NEW CRITERION FOR GAUSSIAN EQUIVALENT LINEARIZATION

Citation
Nd. Anh et W. Schiehlen, NEW CRITERION FOR GAUSSIAN EQUIVALENT LINEARIZATION, European journal of mechanics. A, Solids, 16(6), 1997, pp. 1025-1039
Citations number
16
ISSN journal
09977538
Volume
16
Issue
6
Year of publication
1997
Pages
1025 - 1039
Database
ISI
SICI code
0997-7538(1997)16:6<1025:NCFGEL>2.0.ZU;2-8
Abstract
Within the scope of Gaussian equivalent linearization, a new probabili stic criterion for determining the coefficients of the linearized equi valent equation is proposed to treat stationary responses of dan-linea r systems under zero mean Gaussian random excitation. Applications to the Duffing and Van der Pol oscillators subjected to white noise are p resented that show significant improvement over corresponding accuracy of the classical Gaussian equivalent linearization for hath weak and strong non-linearity.