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李阳 石志飞. 压电-弹性层合梁的自由振动分析[J]. 力学学报, 2008, 40(4): 564-571. DOI: 10.6052/0459-1879-2008-4-2007-433
引用本文: 李阳 石志飞. 压电-弹性层合梁的自由振动分析[J]. 力学学报, 2008, 40(4): 564-571. DOI: 10.6052/0459-1879-2008-4-2007-433
Yang Li, Zhifei Shi. A new method for free vibration analysis of piezoelectric-elastic laminated beams[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(4): 564-571. DOI: 10.6052/0459-1879-2008-4-2007-433
Citation: Yang Li, Zhifei Shi. A new method for free vibration analysis of piezoelectric-elastic laminated beams[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(4): 564-571. DOI: 10.6052/0459-1879-2008-4-2007-433

压电-弹性层合梁的自由振动分析

A new method for free vibration analysis of piezoelectric-elastic laminated beams

  • 摘要: 将状态空间法和微分求积法相结合,分析了压电-弹性层合梁的自由振动.通过微分求积把状态方程在每一个节点处离散,进而求得解答. 选用不同的节点数目,分析了方法的收敛性. 计算结果与相关文献的结果能较好地符合. 该方法对于分析压电-弹性层合梁的工程振动问题非常方便.

     

    Abstract: Free vibration of the piezoelectric-elastic laminatedbeams is studied by combining the state-space method and differentialquadrature method. The state equations are dispersed at every sample pointby using the differential quadrature technique to obtain the solutions. Theconvergence of the present method is also studied by choosing differentnumber of sample points. The obtained results are validated to show that thedeveloped method is convenient for vibration analysis ofpiezoelectric-elastic laminated beams.

     

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