基于均匀化原理,推导了考虑沿格栅加筋圆锥壳体随母线变化的等效刚度阵和等效热膨胀系数,并采用前屈曲薄膜理论给出了在温度和均布外压载荷作用下格栅加筋圆锥截顶壳体稳定性分析的总势能表达式。基于最小势能原理得到了该壳体总体失稳的临界载荷值解析表达式,对典型复合材料格栅加筋截顶圆锥壳体的稳定性计算结果与有限元法所得结果相比较,验证了本文中方法的适用性。基于文中提出的方法,通过对不同温度条件下具有不同顶锥角复合材料格栅加筋截顶圆锥壳体热-力屈曲分析结果的讨论,指出温度对复合材料格栅加筋截顶圆锥壳体稳定性的影响程度将随其顶锥角增加而增大。
Based on homogenization approach, the thermal expansion coefficient and variable stiffness matrices along the longitudes were deduced, and according to pre-buckling membranes theory, the total potential energy for buckling analysis of advanced grid stiffened composite (AGS) conical shells under thermal and mechanical mixed loading was presented. Then, by minimum potential principle, the critical load of AGS conical shells under thermal and pressure loading was predicted. The good agreement between predicted results by provided method and FEA results for a typical example of buckling analysis of AGS conical shells validates the present method. Lastly, by some numerical results, the discussions of the influence of temperature and semi-cone angles on the thermo-mechanical buckling response of AGS trapped conical shells were carried out. It can be seen that the effect of temperature on buckling resistance of the shells increases with increasing the semi-cone angles.