Multi-field coupling and vibration analysis of a piezoelectric semiconductor cylindrical shell

IF 2.3 3区工程技术 Q2 MECHANICS Acta Mechanica Pub Date : 2024-08-30 DOI:10.1007/s00707-024-04079-7

Ziqi Xu, Changsong Zhu, Jinxi Liu

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Abstract

In this paper, the free and forced vibration behaviors of a piezoelectric semiconductor (PS) cylindrical shell are investigated based on the first order shear deformation theory. According to the constitutive equation as well as geometric relationship, the kinetic energy, strain energy and virtual work of the PS cylindrical shell are obtained. Furthermore, the vibration governing equations of the system are derived by means of Hamilton’s principle, and the analytical solutions are acquired for the simply supported PS cylindrical shell. Through numerical examples, the effects of the initial electron concentration, circumferential wave number, geometric parameter and excitation frequency on the natural frequency, damping characteristic, vibration amplitude and induced electric potential of the PS cylindrical shell are discussed. The multi-field coupling characteristic among deformation, polarization and carrier is revealed. The main innovation of the manuscript is that the maximum radial displacement and induced electric potential of the PS cylindrical shell can be effectively controlled by doping different initial electron concentrations, and the damping characteristic of the system is obviously size-dependent.

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压电半导体圆柱形外壳的多场耦合和振动分析

本文基于一阶剪切变形理论，研究了压电半导体（PS）圆柱壳的自由振动和强迫振动行为。根据构成方程和几何关系，得到了 PS 圆柱壳的动能、应变能和虚功。此外，还通过汉密尔顿原理推导出了系统的振动控制方程，并获得了简支撑 PS 圆柱壳的解析解。通过数值实例，讨论了初始电子浓度、圆周波数、几何参数和激励频率对 PS 圆柱壳的固有频率、阻尼特性、振幅和感应电动势的影响。揭示了变形、极化和载流子之间的多场耦合特性。该手稿的主要创新之处在于，通过掺杂不同的初始电子浓度，可以有效控制 PS 圆柱壳的最大径向位移和感应电动势，而且系统的阻尼特性明显与尺寸有关。

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.