压电层合曲梁大变形的精确分析
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湖南省高校科学研究基金资助项目(12B054)

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Precise Analysis of the Finite Deformation of Curved Beams Covered with PZT Actuators
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    摘要:

    基于拉格朗日和欧拉框架,该文对压电层合曲梁在力电载荷下的有限变形进行了分析。以梁曲率半径和弧切角为基本参数,首先推导了压电曲梁在外载荷作用下的控制方程;然后将控制方程简化为只含弧切角参变量的形式;并利用谐函数对方程进行了求解。最后以圆弧曲梁为研究对象,利用该文的方法进行了分析,通过与有限元法进行比较,验证了所提方法的有效性。

    Abstract:

    Based on Lagrangian and Eulerian description, the finite deformation is analyzed for piezoelectric laminated curved beams under mechanical and electrical static loading. Choosing the deformed radius of curvature and tangent slope angle as fundamental parameters, the governing equations of laminated curved smart beam under mechanical and electrical static loading are derived. Firstly the equilibrium equations are deduced by using the deformed angle of tangent slope as the only variant. Then the analytical solutions of laminated curved smart beams are presented using harmonic functions. Finally the static deformations of the laminated curved smart beams are calculated by this method and the finite element method. The results show the validation of the presented method.

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周勇,李荣华,李实,欧昌杰.压电层合曲梁大变形的精确分析[J].压电与声光,2016,38(1):88-93. ZHOU Yong, LI Ronghua, LI Shi, OU Changjie. Precise Analysis of the Finite Deformation of Curved Beams Covered with PZT Actuators[J]. PIEZOELECTRICS AND ACOUSTOOPTICS

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  • 在线发布日期: 2016-02-25
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