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NON-LINEAR PARAMETER ESTIMATION USING VOLTERRA AND WIENER THEORIES

โœ Scribed by A.A. Khan; N.S. Vyas

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
190 KB
Volume
221
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

This study explores the possibility of non-linear parameter estimation through use of Volterra and Wiener theories. An engineering approach is suggested by considering a single-degree-of-freedom system with cubic stiffness non-linearity. A third order kernel representation of the system response is taken. Using frequency domain analysis the first order and third order kernels are obtained. A third order kernel factor is synthesised from this first order kernel and is processed along with the third order kernel for estimation of the non-linear parameter. Damping is taken to be linear in the analysis. The procedure is illustrated through numerical simulation. The assumptions involved and the approximations are discussed. The influence of excitation force, linear damping parameter and probable measurement noise on the estimates is illustrated through non-dimensional simulation.

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Methods for using fourth order spectral quantities to estimate the unknown parameters in non-linear, randomly excited dynamic systems are developed. Attention is focused on the case where only the response is measurable and the excitation is unmeasurable and known only in terms of a stochastic proce