Analytical modeling and piezoelectric actuator configuration optimization for an adaptive composite satellite dish

Su Yan; Mehrdad N. Ghasemi-Nejhad

doi:10.1117/12.658102

27 March 2006 Analytical modeling and piezoelectric actuator configuration optimization for an adaptive composite satellite dish

Su Yan, Mehrdad N. Ghasemi-Nejhad

Author Affiliations +

Proceedings Volume 6166, Smart Structures and Materials 2006: Modeling, Signal Processing, and Control; 616605 (2006) https://doi.org/10.1117/12.658102
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2006, San Diego, California, United States

Abstract

In this paper, the dynamic analysis of a satellite dish with respect to spherical polar coordinate system is investigated. In this complex three-dimensional case, the method of separation of variables is employed to obtain the explicit solution of the partial differential governing equation of the adaptive composite satellite dish. Then, the mode shape functions are expanded in combination of periodic functions, associated Legendre functions, and spherical Bessel functions. The validation of the theoretical model is performed by comparing the developed analytical mode shapes with finite element analysis mode shapes. Three actuator parameters, i.e., actuator number, location, and placement configuration are considered in the Genetic Algorithms (GAs). Also, employing the developed model, the norm-2 of LQR optimal feedback gain vector is set as the objective function in the GAs to obtain the optimal actuator placement coupled with the control law, with which good structural vibration suppression as well as less control energy consumption can be achieved by the linear quadric regulator (LQR).

Citation Download Citation

Su Yan and Mehrdad N. Ghasemi-Nejhad "Analytical modeling and piezoelectric actuator configuration optimization for an adaptive composite satellite dish", Proc. SPIE 6166, Smart Structures and Materials 2006: Modeling, Signal Processing, and Control, 616605 (27 March 2006); https://doi.org/10.1117/12.658102

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