Traveling wave vibration control of rotating functionally graded conical shells via piezoelectric sensor/actuator pairs

IF 2.2 3区工程技术 Q2 MECHANICS Archive of Applied Mechanics Pub Date : 2024-07-09 DOI:10.1007/s00419-024-02614-5

Shupeng Sun, Changying Zhao, Dengqing Cao

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Abstract

This paper addresses the traveling wave vibration control of rotating functionally graded material (FGM) conical shells via piezoelectric actuator and sensor pairs. Considering the circumferential initial stresses and Coriolis forces induced by rotation, as well as arbitrary boundary conditions, the electromechanically coupled governing equations of the rotating FGM conical shell with piezoelectric patches are established using the Lagrange equation. The model validation is carried out through a comparative analysis with existing literature. Base on the model, the linear–quadratic regulator controller is designed to suppress the traveling wave vibrations of rotating FGM conical shells considering the participation of multi-vibration modes in the dynamic responses. To evaluate the performance of the controller, free and forced vibrations of rotating FGM conical shells with different rotational speeds, material compositions and excitation positions are investigated in detail. Additionally, five typical piezoelectric sensors/actuators distributions are presented and the effects of piezoelectric patch layout on the control efficiency are discussed.

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通过压电传感器/执行器对旋转功能分级锥壳进行行波振动控制

本文通过压电致动器和传感器对旋转功能分级材料（FGM）锥壳进行行波振动控制。考虑到旋转引起的圆周初始应力和科里奥利力以及任意边界条件，利用拉格朗日方程建立了带有压电贴片的旋转 FGM 锥壳的机电耦合控制方程。通过与现有文献的对比分析，对模型进行了验证。在模型的基础上，考虑到多振动模式在动态响应中的参与，设计了线性二次调节器控制器来抑制旋转 FGM 锥形壳体的行波振动。为了评估控制器的性能，详细研究了不同转速、材料成分和激励位置的旋转 FGM 锥形壳体的自由振动和强迫振动。此外，还介绍了五种典型的压电传感器/致动器分布，并讨论了压电贴片布局对控制效率的影响。

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来源期刊

Archive of Applied Mechanics 物理-力学

CiteScore

4.40

自引率

10.70%

发文量

234

审稿时长

4-8 weeks

期刊介绍： Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.