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首页> 外文期刊>International Journal of Solids and Structures >Exact dynamic solutions to piezoelectric smart beams including peel stresses - I: Theory and application
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Exact dynamic solutions to piezoelectric smart beams including peel stresses - I: Theory and application

机译：包含剥离应力的压电智能梁的精确动态解决方案-I：理论与应用

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This work presents exact dynamic solutions to piezoelectric (PZT) smart beams including peel stresses. The governing equations of partial differential forms are firstly derived for a PZT smart beam made of the identical adherends, and then general solutions of the governing equations are studied. The analytical solutions are applied to a cantilever beam with a partially bonded PZT patch to the fixed end. For the given boundary conditions, exact solutions of the steady state motions are obtained. Based on the exact solutions, frequency spectra, natural frequencies, normal mode shapes, harmonic responses of the shear and peel stresses are discussed for the PZT actuator. The details of the numerical results and sensing electric charges will be presented in Part II of this work. The exact dynamic solutions can be directly applied to a PZT bimorph bender. To compare with the classic shear lag model whose numerical demonstrations will be given in Part II, the related equations are also derived for the shear lag rod model and shear lag beam model. (C) 2003 Elsevier Ltd. All rights reserved. [References: 18]
机译：这项工作为包括剥离应力的压电（PZT）智能梁提供了精确的动态解决方案。首先推导了由相同被粘物构成的PZT智能梁的偏微分形式控制方程，然后研究了该控制方程的一般解。将分析溶液应用于悬臂梁，该悬臂梁的固定端部分结合了PZT贴片。对于给定的边界条件，可以获得稳态运动的精确解。基于精确的解决方案，讨论了PZT执行器的频谱，固有频率，正常模式形状，剪切和剥离应力的谐波响应。数值结果和感应电荷的详细信息将在本工作的第二部分中介绍。精确的动态解决方案可以直接应用于PZT双压电晶片弯曲机。为了与第二部分中将进行数值演示的经典剪力滞模型进行比较，还推导了剪力滞杆模型和剪力梁模型的相关方程。 （C）2003 Elsevier Ltd.保留所有权利。 [参考：18]

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