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首页> 外文期刊>International Journal of Solids and Structures >Vibration analysis of piezoelectric laminated slightly curved beams using distributed transfer function method
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Vibration analysis of piezoelectric laminated slightly curved beams using distributed transfer function method

机译：压电叠层微曲梁的振动分析的分布传递函数法

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摘要

Piezoelectric laminated slightly curved beams (PLSCB) is currently one of the most popular actuators used in smart structure applications due to the fact that these actuators are small, lightweight, quick response and relatively high force output. This paper presents an analytical model of PLSCB, which includes the computation of natural frequencies, mode shapes and transfer function formulation using the distributed transfer function method (DTFM). By setting the radius of curvature of the proposed model to infinity, a piezoelectric laminated straight beams (PLSB) model can be obtained. The DTFM is applied and extended to carry out the transfer function formulation of the PLSCB and PLSB models. This method will be used to solve for the natural frequencies, mode shapes and transfer functions of the PLSCB and PLSB models in exact and closed form solution without using truncated series of particular comparison or admissible functions. The natural frequencies of the cantilevered PLSCB and PLSB are calculated by the DTFM and the Rayleigh-Ritz method. The analysis indicates that the stretching-bending coupling due to curvature has a considerable effect on the frequency parameters. Increasing the radius of curvature of the PLSCB has its largest effect on the natural frequencies. But the inhomogeneity of the boundary conditions does not have any effects on the natural frequencies or system spectrum due to the both receptance and boundary transfer functions have the same characteristic equations. The method can also be generalized to the vibration analysis of non-piezoelectric composite beams with arbitrary boundary conditions.
机译：压电叠层微弯梁（PLSCB）目前是智能结构应用中最流行的执行器之一，因为这些执行器体积小，重量轻，响应速度快且输出力相对较高。本文介绍了PLSCB的分析模型，其中包括使用分布式传递函数方法（DTFM）计算固有频率，模式形状和传递函数公式。通过将所提出模型的曲率半径设置为无穷大，可以获得压电叠层直梁（PLSB）模型。应用并扩展了DTFM，以执行PLSCB和PLSB模型的传递函数公式。该方法将用于在精确和封闭形式的解决方案中求解PLSCB和PLSB模型的固有频率，模态形状和传递函数，而无需使用截断序列的特定比较或允许函数。悬臂式PLSCB和PLSB的固有频率通过DTFM和Rayleigh-Ritz方法计算。分析表明，由于曲率引起的拉伸-弯曲耦合对频率参数有很大影响。增加PLSCB的曲率半径对自然频率的影响最大。但是，由于接收函数和边界传递函数具有相同的特征方程，边界条件的不均匀性对自然频率或系统频谱没有任何影响。该方法还可以推广到具有任意边界条件的非压电复合材料梁的振动分析。

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