首页> 外文会议>ASME international design engineering technical conferences;Computers and information in engineering conference;Conference on mechanical vibration and noise >MULTI-PULSE CHAOTIC DYNAMICS OF SIX-DIMENSIONAL NON-AUTONOMOUS NONLINEAR SYSTEM FOR A COMPOSITE LAMINATED PIEZOELECTRIC RECTANGULAR PLATE
【24h】

MULTI-PULSE CHAOTIC DYNAMICS OF SIX-DIMENSIONAL NON-AUTONOMOUS NONLINEAR SYSTEM FOR A COMPOSITE LAMINATED PIEZOELECTRIC RECTANGULAR PLATE

机译:复合层合压电矩形板的六维非自治非线性系统的多脉冲混沌动力学

获取原文

摘要

The global bifurcation and multi-pulse chaotic dynamics of the four-edge simply supported composite laminated piezoelectric rectangular plate under in-plane and transversal excitations are studied. Based on the model of von Karman type equations for the geometric nonlinearity and the Reddy's third-order shear deformation theory, the formulas of motion for composite laminated piezoelectric rectangular plate subjected to the in-plane and transversal excitations are derived. Then the Galerkin method is employed to discretize the partial differential equations and the non-autonomous ordinary differential equations with three-degree-of-freedom are derived. The extended Melnikov method is improved to investigate the six-dimensional non-autonomous nonlinear dynamical system in mixed coordinate and the global bifurcation and multi-pulse chaotic dynamics of the composite laminated piezoelectric rectangular plate are studied. The multi-pulse chaotic motions of the composite laminated piezoelectric rectangular plate are found from the numerical simulation which further verifies the result of theoretical analysis.
机译:研究了四面简支复合压电矩形板在面内和横向激励下的整体分叉和多脉冲混沌动力学。基于几何非线性的von Karman型方程模型和Reddy的三阶剪切变形理论,推导了复合叠层压电矩形板在面内和横向激励下的运动公式。然后采用Galerkin方法对偏微分方程进行离散化,推导了具有三自由度的非自治常微分方程。对扩展的梅尔尼科夫方法进行了改进,以研究混合坐标下的六维非自治非线性动力系统,研究了复合压电叠层矩形板的整体分叉和多脉冲混沌动力学。通过数值模拟发现了复合压电叠片矩形板的多脉冲混沌运动,进一步验证了理论分析的结果。

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