首页> 外文会议>2002 ASME International Mechanical Engineering Congress and Exposition , Nov 17-22, 2002, New Orleans, Louisiana >DYNAMICS AND CONTROL OF ADAPTIVE NONLINEAR PIEZOTHERMOELASTIC STRUCTURES WITH COUPLED ELECTRIC, THERMAL AND MECHANICAL FIELDS (A FINITE ELEMENT APPROACH)
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DYNAMICS AND CONTROL OF ADAPTIVE NONLINEAR PIEZOTHERMOELASTIC STRUCTURES WITH COUPLED ELECTRIC, THERMAL AND MECHANICAL FIELDS (A FINITE ELEMENT APPROACH)

机译:电场,温度和机械场耦合的自适应非线性皮热弹性结构的动力学和控制(有限元方法)

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摘要

Piezoelectric sensors and actuators are widely used in smart structures, mechatronic and structronic systems, etc. This paper is to investigate the dynamics and control of nonlinear laminated piezothermoelastic shell structures subjected to the combined mechanical, electrical, and thermal excitations by the finite element method. Governing relations of nonlinear strain-displacement, electric field-electric potential, and temperature gradient-temperature field for a piezothermoelastic shell are presented in a curvilinear coordinate system. Based on the iayerwise constant shear angle theory, a generic curved triangular laminated piezothermoelastic shell element is developed. Generic nonlinear finite element formulations for vibration sensing and control analysis of laminated piezoelectric shell structures are derived based on the virtual work principle. Dynamic system equations, equations of electric potential output, and feedback control force are derived and discussed. The modified Newton-Raphson method is used for efficient nonlinear dynamic analysis of complex nonlinear piezoelectric/elastic/control structural systems. For vibration sensing and control, various control algorithms are implemented. The developed nonlinear piezothermoelastic shell element and finite element code are validated and applied to analysis of nonlinear flexible structronic systems. Vibration sensing and control of constanton-constant curvature piezoelectric shell structures are studied. Thermal effect to static deflection, dynamic response, and control is investigated.
机译:压电传感器和执行器广泛用于智能结构,机电和结构系统等中。本文将通过有限元方法研究非线性叠层压电热弹壳结构在机械,电气和热激励作用下的动力学和控制。在曲线坐标系中给出了压电热弹性壳的非线性应变位移,电场-电势和温度梯度-温度场的控制关系。基于逐层恒定剪切角理论,开发了一种通用的弯曲三角形层状叠压热弹性壳单元。基于虚拟工作原理,推导了用于压电叠层结构振动和控制分析的通用非线性有限元公式。推导并讨论了动态系统方程,电势输出方程和反馈控制力。改进的Newton-Raphson方法用于复杂非线性压电/弹性/控制结构系统的有效非线性动力学分析。对于振动感测和控制,实现了各种控制算法。验证了所开发的非线性热弹弹性壳单元和有限元代码,并将其应用于非线性柔性结构系统的分析。研究了等/非等曲率压电壳体结构的振动传感与控制。研究了热对静态挠度,动态响应和控制的影响。

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