Abstract This paper proposes a unified model for investigating the vibration and acoustic radiation behaviors of magneto-electro-thermo-elastic functionally graded porous plates (METE-FGPPs). The model is established by first-order shear deformation theory (FSDT) combing with the Voigt model and modified power-law distribution. For the sake of simplicity, the formulations with regard to the vibration and acoustic radiation of METE-FGPPs are deduced by using the Rayleigh-Ritz method, and many fields including mechanical, magnetic, electrical and thermal fields are taken into account. Meantime, it is worth noting that the penalty functions are introduced into this model for satisfying the mechanical and magneto-electric boundaries easily. For improving the convergence, accuracy, stability of numerical calculation, the displacement functions of METE-FGPPs are expressed by adopting Chebyshev polynomials. Based on the established unified model, the investigations of the vibration and acoustic radiation characteristics of METE-FGPPs are realized in the following discussion. Firstly, the convergence of the presented method is verified by investigating the convergence of truncated number, number of elemental radiator and penalty factor. Secondly, the accuracy, stability and versatility of the presented approach is confirmed by comparing with the results of existing literatures. Finally, the influence of some key parameters on the vibration and acoustic radiation of METE-FGPPS are discussed carefully.

中文翻译：

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多物理场中磁电热弹性功能梯度多孔板的振动和声辐射

摘要 本文提出了一个统一的模型来研究磁电热弹性功能梯度多孔板 (METE-FGPPs) 的振动和声辐射行为。该模型是通过一阶剪切变形理论(FSDT)结合Voigt模型和修正幂律分布建立的。为简单起见，METE-FGPPs 的振动和声辐射公式采用瑞利-里兹方法推导出来，并考虑了包括机械、磁、电和热领域在内的许多领域。同时，值得注意的是，该模型中引入了惩罚函数，以便轻松满足机械和磁电边界。为提高数值计算的收敛性、准确性、稳定性，METE-FGPPs的位移函数采用切比雪夫多项式表示。在建立的统一模型的基础上，对METE-FGPPs的振动和​​声辐射特性进行了以下讨论。首先，通过研究截断数、单元辐射器数和惩罚因子的收敛性，验证了所提出方法的收敛性。其次，通过与现有文献的结果进行比较，证实了所提出方法的准确性、稳定性和通用性。最后，详细讨论了一些关键参数对 METE-FGPPS 振动和声辐射的影响。METE-FGPP 的振动和声辐射特性的研究在以下讨论中实现。首先，通过研究截断数、单元辐射器数和惩罚因子的收敛性，验证了所提出方法的收敛性。其次，通过与现有文献的结果进行比较，证实了所提出方法的准确性、稳定性和通用性。最后，详细讨论了一些关键参数对 METE-FGPPS 振动和声辐射的影响。METE-FGPP 的振动和声辐射特性的研究在以下讨论中实现。首先，通过研究截断数、单元辐射器数和惩罚因子的收敛性，验证了所提出方法的收敛性。其次，通过与现有文献的结果进行比较，证实了所提出方法的准确性、稳定性和通用性。最后，详细讨论了一些关键参数对 METE-FGPPS 振动和声辐射的影响。通过与现有文献的结果进行比较，证实了所提出方法的稳定性和通用性。最后，详细讨论了一些关键参数对 METE-FGPPS 振动和声辐射的影响。通过与现有文献的结果进行比较，证实了所提出方法的稳定性和通用性。最后，详细讨论了一些关键参数对 METE-FGPPS 振动和声辐射的影响。