Paper number 474

RESONANCE CONTROL OF GENERALLY SUPPORTED SMART BEAM-PLATES USING FOURIER SERIES METHOD

Chien-Chang Lin1, and Huang-Nan Huang2

1Department of Applied Mathematics, National Chung-Hsing University,
Taichung, 402, TAIWAN
2Department of Mathematics, Tunghai University,
Taichung, 407, TAIWAN

Summary This paper proposes a new method to control the resonance of composite beam-plates with generally supported boundary conditions. Firstly, the mathematical model including the general type of boundary conditions has been formulated in terms of differential and algebraic equations (DAE). Under this formulation, the natural frequencies and mode functions of the generally supported beam-plates can be computed easily. The control strategy to suppress the resonance is then conducted from two approaches: proportional control and LQG control. Some numerical examples are presented to illustrate the proposed method.
Keywords smart structure, piezo-electirc, control system, Fourier series method, DAE.

Theme : Smart Materials and Smart Manufacturing

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