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Generalized constitutive equations for piezo-actuated compliant mechanism

机译:压电驱动柔顺机构的广义本构方程

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This paper formulates analytical models to describe the static displacement and force interactions between generic serial-parallel compliant mechanisms and their loads by employing the matrix method. In keeping with the familiar piezoelectric constitutive equations, the generalized constitutive equations of compliant mechanism represent the input-output displacement and force relations in the form of a generalized Hooke's law and as analytical functions of physical parameters. Also significantly, a new model of output displacement for compliant mechanism interacting with piezo-stacks and elastic loads is deduced based on the generalized constitutive equations. Some original findings differing from the well-known constitutive performance of piezo-stacks are also given. The feasibility of the proposed models is confirmed by finite element analysis and by experiments under various elastic loads. The analytical models can be an insightful tool for predicting and optimizing the performance of a wide class of compliant mechanisms that simultaneously consider the influence of loads and piezo-stacks.
机译:本文采用矩阵方法,建立了解析模型,描述了一般串并联顺应机构与其载荷之间的静态位移和力相互作用。与熟悉的压电本构关系一致,柔顺机构的广义本构方程以广义胡克定律的形式表示输入-输出位移和力的关系,并作为物理参数的解析函数。同样重要的是,基于广义的本构方程,推导出了一种用于柔性机构与压电叠层和弹性载荷相互作用的输出位移的新模型。还给出了一些与压电叠层本构关系不同的原始发现。所提出的模型的可行性通过有限元分析和各种弹性载荷下的实验得到了证实。分析模型可以成为有见地的工具,用于预测和优化各种顺应性机构的性能,同时考虑载荷和压电堆的影响。

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