Analysis on Control Characteristics of Conical Shell Covered Active Constrained Layer Damp

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (9) : 141-146.

LU Jing YUAN Liyun

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Abstract

Based on the constitutive relation and internal forces displacement equation of piezoelectric materials, dynamics and electrical control equations of the piezoelectric constrained layer were derived by considering the positive and inverse piezoelectric effect. According the geometric properties of the conical shell, the variables were expanded along circumferential direction with Fourier series, and the above equations were written as a first order differential matrix equation along meridian direction. Combing the normal equilibrium equation and the continuity condition of the displacement, the dynamics equations of the laminated structure are given by virtue of the dynamics equations of the active constrained layer and base shell. Uniting these equations and the electrical control equations of the piezoelectric constrained layer could established the electromechanical coupling model of the conical shell covered with active constrained layer damp. Then, applying the speed feedback control strategy, a semi-analytical semi-numerical method was put forward with precise integration technology and superposition principle. The paper also discussed the effects of the parameters, such as the feedback coefficient, positions of the feedback points, on the vibration and control characteristics of the conical shell covered with active constrained layer damp.

Key words

active constrained layer damp / conical shell / speed feedback control strategy / electromechanical coupling / control characteristics

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LU Jing YUAN Liyun. Analysis on Control Characteristics of Conical Shell Covered Active Constrained Layer Damp[J]. Journal of Vibration and Shock, 2016, 35(9): 141-146

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