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Modeling of nonlinear responses for reciprocal transducers involving polarization switching

机译:涉及极化切换的互感器非线性响应建模

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Nonlinearities and hysteresis effects in a reciprocal PZT transducer are examined by use of a dynamical mathematical model on the basis of phase-transition theory. In particular, we consider the perovskite piezoelectric ceramic in which the polarization process in the material can be modeled by Landau theory for the first-order phase transformation, in which each polarization state is associated with a minimum of the Landau free-energy function. Nonlinear constitutive laws are obtained by using thermodynamical equilibrium conditions, and hysteretic behavior of the material can be modeled intrinsically. The time-dependent Ginzburg-Landau theory is used in the parameter identification involving hysteresis effects. We use the Chebyshev collocation method in the numerical simulations. The elastic field is assumed to be coupled linearly with other fields, and the nonlinearity is in the E-D coupling. We present numerical results for the reciprocal-transducer system and identify the influence of nonlinearities on the system dynamics at high and low frequency as well as electrical impedance effects due to tuning by a series inductance. It is found that nonlinear effects are not important at high frequencies (1 MHz) subject to high-input voltages, but they become important under high-voltage and off-resonance conditions
机译:在相变理论的基础上,通过使用动力学数学模型检查了互逆PZT传感器中的非线性和磁滞效应。特别地,我们考虑钙钛矿压电陶瓷,其中材料的极化过程可以通过Landau理论建模以进行一阶相变,其中每个极化状态与Landau自由能函数的最小值相关。通过使用热力学平衡条件可以获得非线性本构定律,并且可以固有地对材料的滞后行为进行建模。时滞的Ginzburg-Landau理论用于涉及磁滞效应的参数识别。我们在数值模拟中使用Chebyshev配置方法。假定弹性场与其他场线性耦合,并且非线性在E-D耦合中。我们给出了互感器系统的数值结果,并确定了非线性对高频和低频系统动力学的影响以及由于串联电感调谐引起的电阻抗效应。发现在高输入电压下的高频(1 MHz)非线性效应并不重要,但在高压和失谐条件下非线性效应变得重要

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