...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Acta Mechanica >An electromechanically coupled theory for piezoelastic beams taking into account the charge equation of electrostatics
【24h】

An electromechanically coupled theory for piezoelastic beams taking into account the charge equation of electrostatics

机译：考虑静电电荷方程的压电弹性梁的机电耦合理论

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The present paper is devoted to the coupling between electrical and mechanical fields in piezoelastic structures. In the present contribution, an electromechanically coupled technical theory for flexural and extensional deformations of piezoelastic composite beams is developed. Such a technical theory should be of special interest for control applications, where a lower-order but sufficiently accurate modelling is required. In a first step, an equivalent single-layer theory of the Timoshenko-type for composite beams is utilized. The influence of shear, rotatory inertia as well as the influence of the electric field is taken into account in this technical beam theory. The electric field is unspecified so far in this formulation, but is coupled to the deformation by means of the charge equation of electrostatics. In order to incorporate this coupling, the electric potential is approximated by a power series in the thickness direction of the beam. Terms up to an order of two are considered in the approximation. The formulation then is adapted to the electric boundary conditions at the upper and lower sides of the electroded piezoelectric layers, namely that the electrodes have to be equipotential areas. Putting this distribution into an electrical variational principle, a weak one-dimensional formulation of the charge equation of electrostatics is obtained for the axial distribution of the electric potential. Prescribing the electric potential at the electrodes, and specifying the electrical boundary conditions at the vertical ends of the layer, this weak form completes the proposed electromechanically coupled technical theory for composite piezoelastic beams. In order to demonstrate the influence of the coupling between deformation and electric field, the quasi-static behavior and free flexural vibrations of a symmetrically laminated 3-layer beam are studied in detail. Results are compared to results of coupled finite element computations as well as to results obtained by a simplified theory, previously developed by the authors. [References: 36]
机译：本文致力于压电弹性结构中电场与机械场之间的耦合。在目前的贡献中，开发了一种用于压电弹性复合材料梁的挠曲和拉伸变形的机电耦合技术理论。对于需要较低阶但足够准确的建模的控制应用，这种技术理论应该特别有意义。第一步，利用了Timoshenko型复合梁的等效单层理论。在该技术梁理论中考虑了剪切力，旋转惯量以及电场的影响。到目前为止，在该公式中尚未指定电场，但是通过静电电荷方程将电场耦合到变形。为了结合该耦合，通过束的厚度方向上的幂级数来近似电势。在近似中考虑不超过2的项。然后，使该制剂适应于电极化压电层的上侧和下侧的电边界条件，即，电极必须是等电位区域。将这种分布置于电学变分原理中，就可以得出电势轴向分布的弱一维静电电荷方程式。规定电极上的电势，并指定层垂直端的电边界条件，这种弱形式完成了复合压电弹性梁的机电耦合技术理论。为了证明变形与电场之间的耦合影响，详细研究了对称层合的三层梁的准静态行为和自由挠曲振动。将结果与耦合有限元计算的结果以及作者先前开发的简化理论所获得的结果进行比较。 [参考：36]

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号