使用单元基于平滑有限元方法和离散剪切间隙技术分析功能梯度板的线性颤振特性
Linear flutter analysis of functionally graded panels using cell based smoothed finite element method and discrete shear gap technique
AI总结：
本文采用单元基于平滑有限元方法和离散剪切间隙技术研究功能梯度材料平板的线性颤振特性，探讨热环境、中心圆孔和气动阻尼对超音速颤振特性的影响。
摘要：
本文采用单元基于平滑有限元方法和离散剪切间隙技术研究功能梯度材料（FGM）平板的线性颤振特性。研究了热环境、中心圆孔的存在以及气动阻尼对平板FGM超音速颤振特性的影响。结构公式基于一阶剪切变形理论，材料属性假设为温度依赖性且仅在厚度方向按体积分数的幂律分布。气动力通过考虑一阶高马赫数近似线性势流理论来评估。公式包括横向剪切变形、平面和旋转惯性效应。通过数值研究，探讨了板厚、长宽比、边界条件、材料梯度指数、温度依赖性材料属性、阻尼、圆孔尺寸、板的斜率和边界条件对临界气动压力的影响。
英文摘要：
In this paper, a cell-based smoothed finite element method with discrete shear gap technique for triangular ele- ments is employed to study the linear flutter characteristics of functionally graded material (FGM) flat panels. The influence of thermal environment, the presence of a centrally located circular cutout and the aerodynamic damping on the supersonic flutter characteristics of flat FGM panels is also investigated. The structural for- mulation is based on the first-order shear deformation theory and the material properties are assumed to be temperature dependent and graded only in the thickness direction according to power law distribution in terms of the volume fraction of its constituent materials. The aerodynamic force is evaluated by considering the first order high mach number approximation to linear potential flow theory. The formulation includes transverse shear deformation and in-plane and rotary inertia effects. The influence of the plate thickness, aspect ratio, boundary conditions, material gradient index, temperature dependent material properties, damping, cutout size, skewness of the plate and boundary conditions on the critical aerodynamic pressure is numerically studied.
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