Dynamic modeling of composite thin plate multibody system with large deformation

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (8) : 27-35.

ZHANG Wei-hua, LIU Jin-yang

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Abstract

In this paper, dynamic modeling theory of composite thin plate multibody system with large deformation is investigated. Based on Kirchhoff assumption that the normal vector is always perpendicular to the central surface, the relation among the in-plane strains, the curvatures, the absolute nodal coordinates and the absolute gradients are derived according to the definition of Green strain, and then the generalized elastic force vector and the differentiation of the elastic force vector with respect to the generalized coordinates are derived. Equations of motion of composite thin plate multibody system with large deformation are derived based on absolute nodal coordinate formulation. Generalized method and Newton-Raphson method are used for solving the differential-algebraic equations. Simulation of a composite thin plate applied with an external force is carried out. Comparison of the present simulation results with those obtained by ANSYS software verifies the accuracy and effectiveness of the formulation. Finally the proposed formulation is used for numerical simulation of composite solar array deployment mechanism. The vibration characteristics of the driving force and the constraint forces are analyzed in case of different panel layers.

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large deformation / composite laminated plate / dynamics / deployment mechanism

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ZHANG Wei-hua, LIU Jin-yang. Dynamic modeling of composite thin plate multibody system with large deformation[J]. Journal of Vibration and Shock, 2016, 35(8): 27-35

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