陶瓷/金属非保守FGM斜板的颤振分析

Flutter Analysis of Ceramic/Metal Non-conservative FGM Skew Plate

研究了陶瓷/金属非保守功能梯度材料(FGM)斜板的颤振问题。以薄板理论为基础,假定材料的等效物性参数为沿厚度方向体积分数的幂律变化,在斜坐标系下建立了非保守FGM斜板的运动微分方程。运用微分求积法,对四边固支边界条件下陶瓷/金属非保守FGM斜板的量纲一复频率进行了数值计算,分析了FGM斜板的梯度指标、夹角和长宽比的变化对非保守FGM斜板稳定性的影响。结果表明,非保守FGM斜板的临界颤振荷载随梯度指标和夹角的增大而减小,随长宽比的增大而增大。

This paper investigated the flutter of a ceramic/metal non-conservative FGM skew thin plate.Based on the thin plate theory,the material properties were assumed to vary continuously through their thickness according to a power-law distribution of the volume fractions of the plate constituents,and the differential equations of motion of the non-conservative FGM skew thin plate were established in oblique coordinate system.The dimensionless complex frequencies of the non-conservative FGM skew thin plate with four edges clamped were calculated by the differential quadrature method.The effects of the gradient index,skew angle and aspect ratio on the stability of the non-conservation FGM skew thin plate were analyzed.Results show that the critical flutter load decreases with the increase of the gradient index or the skew angle,the critical flutter load increases with the increase of the aspect ratio.