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首页> 外文期刊>International Journal of Computer Aided Engineering and Technology >Performance of consistent through-thickness electric potential distribution for Euler-Bernoulli piezoelectric beam finite elements
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Performance of consistent through-thickness electric potential distribution for Euler-Bernoulli piezoelectric beam finite elements

机译：Euler-Bernoulli压电梁有限元的贯穿厚度的一致电势性能

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摘要

An accurate piezoelectric beam finite element analysis essentially requires appropriate assumptions of the field variables involved in the formulation. The conventional Euler-Bernoulli piezoelectric beam finite elements assume an independent linear through-thickness distribution of electric potential in a physical piezoelectric layer which is actually nonlinear due to induced potential effects. Here, a consistent through-thickness potential distribution in a physical piezoelectric layer derived from the electrostatic equilibrium equation is tested for its accuracy against the linear assumption. This consistent potential field contains, in addition to the conventional linear terms, a higher order term coupled with bending strain. Thus, this finite element, though employing higher order potential, does not increase the number of nodal electrical degrees of freedom. It is shown that the performance of the present formulation with consistent through-thickness potential is insensitive to the geometric configuration and material properties of the beam cross-section, unlike the conventional formulations.
机译：准确的压电束有限元分析本质上需要适当考虑配方中涉及的场变量。常规的Euler-Bernoulli压电梁有限元假定物理压电层中电势的独立线性贯穿厚度分布，由于感应电势效应，该分布实际上是非线性的。在此，测试了从静电平衡方程式导出的物理压电层中一致的全厚度电势分布，以针对线性假设进行精度测试。除常规线性项外，该一致的势场还包含一个高阶项和弯曲应变。因此，该有限元尽管采用了更高阶的电势，但并未增加节点电自由度的数量。结果表明，与常规配方不同，具有一致的贯穿厚度潜力的本配方的性能对光束横截面的几何构型和材料特性不敏感。

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