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对中厚功能梯度环扇形板进行热屈曲分析。利用一阶剪切变形板理论推导出平衡及稳定方程。这些方程为5次耦合偏微分方程。经过分析,可简化为4次方程。在已知边界条件下求解,得出屈曲临界温度。环扇形板为径向简支,环向自由。研究了在均匀与沿厚度梯度升温两种热荷载作用下,功能梯度环扇形板的热屈曲分析。详细讨论了边界条件、幂律指数、板厚、环形和扇形角对功能梯度环扇形板屈曲临界温度的影响。
Thermal buckling analysis of moderate functional gradient ring sector plates. The equilibrium and stability equations are derived from the theory of first-order shear deformation plate. These equations are five coupled partial differential equations. After analysis, can be simplified into four equations. Calculated under the known boundary conditions, the critical temperature of buckling is obtained. Ring sector for the radial simple support, free to the ring. The thermal buckling analysis of functional gradient annular fan plate under two kinds of thermal loads with uniform and increasing thickness gradient is studied. The effects of boundary conditions, power law index, plate thickness, ring shape and fan angle on the buckling critical temperature of functional gradient ring sector plate are discussed in detail.