环境温变对纤维增强夹芯板临界热屈曲温度的影响

Effects of Temperature Variation on the Critical Thermal Buckling Temperature of Fiber Reinforced Sandwich Plate

基于三角剪切变形理论,推导出了夹芯板的控制方程,利用瑞利-里兹法求解夹芯板的临界热屈曲温度。考虑温度沿厚度方向变化,研究了温度函数指数、边界条件、长厚比、长宽比、面板厚度与总厚度的比值和纤维角度对夹芯板临界热屈曲温度的影响。结果表明,均匀温度夹芯板临界热屈曲温度最低;非线性温度夹芯板临界热屈曲温度最高。临界热屈曲温度随着长厚比、面板厚度与总厚度的比值的增大而减小。在四边简支边界条件下,长方形夹芯板的临界热屈曲温度大于正方形夹芯板的临界热屈曲温度。四种边界条件下的正方形夹芯板,四边简支夹芯板的临界热屈曲温度最小,四边固支夹芯板的临界热屈曲温度最大。正方形夹芯板临界热屈曲温度最大值出现在纤维角度为45°和135°附近。

On the basis of the triangle shear deformation theory,the governing equation of sandwich plates was derived,and the critical thermal buckling temperature of sandwich plates was solved by Rayleigh Ritz method.By considering the temperature changing along the thickness direction,the influence of temperature function index,boundary conditions,side-to-thickness ratio,aspect ratio,face-to-thickness ratio and fiber angle on the critical thermal buckling temperature of sandwich plates was studied.The results show that the critical thermal buckling temperature of sandwich plate with uniform temperature is the minimum.The critical thermal buckling temperature of nonlinear temperature sandwich plate is the maximum.The critical thermal buckling temperature decreases with the increase of the side-to-thickness ratio and face-to-thickness ratio.The critical thermal buckling temperature of a rectangular sandwich plate is greater than that of a square sandwich plate under simply supported boundary conditions.For the square sandwich plate under the four boundary conditions studied in this paper,the critical thermal buckling temperature of simple supports is the smallest,and the critical thermal buckling temperature of solid supports is the largest.The maximum critical thermal buckling temperature of square sandwich plates occurs when the fiber angles is 45° and 135°.