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Coupled thermomechanical problems of layered thin-walled inelastic elements under harmonic loading

机译:谐波载荷下层状薄壁非弹性元件的热力学耦合问题

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A coupled dynamic problem of thermoelectromechanics for thin-walled multilayer elements is formulated based on a geometrically nonlinear theory and the Kirchhoff-Love hypothesis. In the case of harmonic loading, an approximate formulation is given using the concept of complex moduli to characterize the cyclic properties of the material. The model problem on forced vibrations of layered beam, whose core layer is made of a passive physically nonlinear material, and face layers, of a viscoelastic piezoactive material, is considered as an example to demonstrate the possibility of damping the vibrations by applying harmonic voltage to the oppositely polarized layers of the beam. Substantiation is given for a linear control law with a complex coefficient for the electric potential, which provides damping of vibrations in the first symmetric mode at the linear and nonlinear stages of deformation. The stress-strain state and dissipative-heating temperature are studied as well.
机译:基于几何非线性理论和基尔霍夫-洛夫假设,提出了薄壁多层单元热机电耦合动力学问题。在谐波载荷的情况下,使用复模量的概念给出了近似公式,以表征材料的循环特性。以分层梁的强迫振动模型问题为例,该模型问题的核心层由被动物理非线性材料制成,而粘弹性压电活性材料的面层则通过施加谐波电压来抑制振动光束的相反极化层。给出了线性控制定律的证明,该定律具有复杂的电势系数,可以在变形的线性和非线性阶段以第一对称模式提供振动阻尼。还研究了应力应变状态和耗散加热温度。

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