Skip to main content Accessibility help

Evaluation of Nonlinear System Parameters by Stochastic Spectral Method

  • T.-P. Chang (a1) and M.-F. Liu (a2)


A stochastic spectral method is proposed to estimate the nonlinear parameters of a system subjected to random excitation. Sometimes, it is impossible to measure the excitation process; therefore, estimation must then be based on the response measurement only, in conjunction with a stochastic model of the excitation. The concept of this method is to establish an objecting function involving the unknown parameters through frequency domain analysis, and then we can minimize the objecting function to estimate the unknown parameters by using standard nonlinear optimization algorithm. Finally, the validation of the proposed method is accomplished through many simulations and it can be concluded that the proposed method is applicable to a variety of different problems.


Corresponding author

**Associate Professor


Hide All
1.Gawthrop, P. J., Kountzeris, A. and Roberts, J. B., M“Parametric Identification of Non-Linear Ship Roll Motion from Forced Roll Data,” SNAME J. Ship Research, 32, pp. 101111 (1988).
2.Kountzeris, A., Roberts, J. B. and Gawthrop, P. J., “Estimation of Ship Roll Parameters from Motion in Irregular Seas,” Trans. Royal Institute of Naval Architects, 132, pp. 253266(1991).
3.Rice, H. J., and Fitzpatrick, J. A., “The Measurement of Nonlinear Damping in Single-Degree-Of-Freedom System,” ASME, J. of Vibration and Acoustics, 113, pp. 132140(1991).
4.Rice, H. J., and Fitzpatrick, J. A., “A Procedure for the Identification of Linear and Non-Linear Multi-Degreeof-Freedom Systems,” J. of Sound and Vibration, 149, pp. 397411 (1991).
5.Roberts, J. B., “A Stochastic Theory for Non-Linear Ship Rolling in Irregular Seas,” SNAME J. Ship Research, 26, pp. 229245 (1982).
6.Roberts, J. B., and Dacunha, N. M. C., “Roll Motion of a Ship in Random Beam Waves Comparison Between Theory and Experiment,” SNAME, J. of Ship Research, 29, pp. 112126.(1985).
7.Kountzeris, A., Roberts, J. B. and Gawthrop, P. J., “Estimation of Ship Roll Parameters from Motion in Irregular Seas,” Transaction of the Royal Institute of Naval Architects, 132, pp. 253266 (1991).



Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed