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Flutter characteristics and free vibrations of rectangular functionally graded porous plates

机译：矩形功能梯度多孔板的颤振特性和自由振动

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摘要

This paper investigates the flutter characteristics and free vibrations of porous functionally graded plates using the analytical and Rayleigh-Ritz methods. The analytical methods can be employed for the solution of six of 21 arbitrary boundary conditions (the combinations of clamped, simply supported and free). The influence of five various models of porosity is studied, including different variations of stiffness/density along the thickness and/or length of a plate. The analysis is carried out for the classical (CPT) and first order transverse shear deformation (FSDT) theory. For CPT analytical solutions the effects of porosity are characterized by two simple correction factors that shows a very good agreement with the numerical Rayleigh-Ritz method. Parametric studies illustrate the possibility of increasing natural frequencies as well as flutter critical aerodynamic pressures and the necessity of implementing the optimization techniques to find the best solutions from the engineering point of view. The solutions are valid for thin and moderately thick porous FGM plates although the proposed methodology of computations can be easily adopted to the application of different approximations of 2D displacement distributions (see Appendix).
机译：本文使用分析和瑞利丽斯方法研究多孔功能梯度板的颤振特性和自由振动。分析方法可用于溶液中的六种任意边界条件（夹紧，简单地支持和自由的组合）。研究了五种各种模型的孔隙率的影响，包括沿着板的厚度和/或长度的刚度/密度的不同变化。对经典（CPT）和一阶横向剪切变形（FSDT）理论进行分析。对于CPT分析解决方案，孔隙率的影响特征在于两个简单的校正因子，其表现出与数值瑞利-Ritz方法非常好的一致性。参数研究说明了增加自然频率的可能性以及颤动关键空气动力学压力以及实现优化技术的必要性，以从工程角度来看找到最佳解决方案。溶液对于薄且适度厚的多孔FGM板是有效的，尽管可以容易地采用所提出的计算方法来应用于不同近似的2D位移分布（见附录）。

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