This paper mainly concentrates on the procedural technique to identify the system parameters of multi degrees of freedom nonlinear system using Genetic Algorithm (GA) in time domain. Conventional optimization techniques are mainly calculus based, and often fails in search for global optimum. In this paper estimation has been done using continuous Genetic Algorithm (GA). In parametric estimation the difference between experimental acceleration and acceleration estimated by GA is minimized by updating the parameters. A three degrees of freedom (3-DOF) system with two pairs of non-linear spring and damper (Van der Pol—Duffing oscillator) is considered. Both hardening and softening type of nonlinear springs are considered and corresponding parameters are estimated. The system is excited by known harmonic forces at each mass to ensure enough excitation. Different combinations of hardening and softening nonlinear springs, nonlinear dampers, and single and two nonlinear springs are solved in the present study. The percentage of error in estimation of parameters is less than 5%. Perturbation analysis has been done to study the sensitivity of parameters on output.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
G. Kerschen, K. Worden, A. F. Vakakis, J. C. Golinval, 2006.Past, present and future of nonlinear system identification in structural dynamic 20, 505–592.
K. Kristinsson, G. A. Dumont, 1992.System identification and control using genetic algorithms, IEEE Transactions on Systems, Man, and Cybernetics22, 1033–1046.
B. Jiang, B. W. Wang, 2000.Parameter estimation of nonlinear system based on genetic algorithm, Control Theory and Applications17, 150–152.
W. D. Chang, 2006.An improved real-coded genetic algorithm for parameter estimation of nonlinear systems, Mechanical Systems and Signal Processing20, 236–246.
S. V. Hanagud, M. Meyyappa, J. I. Craig, 1985.Method of Multiple Scales and Identification of Nonlinear Structural Dynamic Systems, AIAA Journal23, 802–807.
S. J. Zhu, Y. F. Zheng, Y. M. Fu, 2004.Analysis of non-linear dynamics of a two-degree-of-freedom vibration system with non-linear damping and non-linear spring, Journal of Sound and Vibration271, 15–24.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer Science + Business Media B.V
About this chapter
Cite this chapter
Kumar, R.K., Sandesh, S., Shankar, K. (2008). Parametric Estimation Of Nonlinear 3D Of System Using Genetic Algorithm In Time Domain. In: İnan, E., Sengupta, D., Banerjee, M., Mukhopadhyay, B., Demiray, H. (eds) Vibration Problems ICOVP-2007. Springer Proceedings in Physics, vol 126. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9100-1_23
Download citation
DOI: https://doi.org/10.1007/978-1-4020-9100-1_23
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-9091-2
Online ISBN: 978-1-4020-9100-1
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)