几何精确的二维动态压电梁有限元格式

FINITE ELEMENT FORMULATION OF TWO-DIMENSIONAL GEOMET RICALLY-EXACT DYNAMICAL PIEZOELECTRIC BEAM

  • 摘要: 在几何精确梁理论的基础上,通过引入压电材料的力-电耦合效应,建立了一种几何精确的动态二维压电层合梁有限元格式。通过对这种几何精确有限元格式的分析和实现,得到了一个分析在空间做大尺度运动的压电柔性梁结构的方法。最后通过几个数值算例验证了这种格式的正确性,并且给出了这种方法在分析压电结构时的可能用途。

     

    Abstract: Based on the theory of geometrically-exact beam, a geometrically-exact finite element formulation of dynamical two-dimensional piezoelectric layered-beam is developed, in which the coupling effect of piezoelectric material is fully taken into consideration. The implementation of the proposed formulation leads to an efficient scheme for analyzing piezoelectric structures with large-scale motion. Three numerical examples are presented and the numerical results are compared with those obtained using ANSYS as well as with those in the literature. The accuracy and effectiveness of the present formulation is verified.

     

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