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FORCED RESONANCE VIBRATIONS AND DISSIPATIVE HEATING OF A FLEXIBLE VISCOELASTIC BEAM WITH PIEZOELECTRIC ACTUATORS

机译:压电致动器的弹性粘弹性梁的强迫共振和耗散加热

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摘要

We consider the problem of the forced resonance vibrations and dissipative heating of a viscoelastic beam with piezoelectric actuators with regard for geometric nonlinearity in the quadratic approximation. The viscoelastic behavior of passive (without the piezoelectric effect) and piezoactive materials is described in terms of instantaneous and complex moduli. To solve the nonlinear problem of electrovisco-elasticity and heat conduction, we use the method of quasilinearization together with the numerical methods of discrete orthogonalization and finite differences. We have studied the influence of geometric nonlinearity on the dynamic characteristics, temperature of vibration heating, and active damping of a beam with using a piezoelectric actuator.
机译:考虑二次近似中的几何非线性,我们考虑了带有压电致动器的粘弹性梁的强迫共振振动和耗散加热问题。被动(无压电效应)和压电活性材料的粘弹性行为是根据瞬时模量和复模量来描述的。为了解决电粘弹性和热传导的非线性问题,我们使用准线性化方法以及离散正交化和有限差分的数值方法。我们已经研究了几何非线性对使用压电致动器的动态特性,振动加热温度和梁的主动阻尼的影响。

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  • 来源
    《Journal of Mathematical Sciences》 |2012年第6期|685-698|共14页
  • 作者单位

    Tymoshenko Institute of Mechanics, Ukrainian National Academy of Sciences, Kyiv, Ukraine;

    Tymoshenko Institute of Mechanics, Ukrainian National Academy of Sciences, Kyiv, Ukraine;

    Tymoshenko Institute of Mechanics, Ukrainian National Academy of Sciences, Kyiv, Ukraine;

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