水下环肋功能梯度材料圆柱壳稳定性研究

摘要

研究了水下环肋功能梯度材料圆柱壳的稳定性.根据Flügge理论和正交各向异性板壳理论,采用波动法推导出静水压力下环肋FGM圆柱壳耦合振动特征方程,运用牛顿迭代法得到静水压力下环肋FGM圆柱壳的固有频率值,并通过线性拟合得到静水压力下环肋FGM圆柱壳的临界压力.通过计算对比分析,验证了方法的正确性和有效性.通过算例,分析了静水压力下环肋FGM圆柱壳在不同材料组分、体积分数、壳体尺寸、肋条尺寸和数目等情况下临界压力的变化规律.%The stability of a submerged ring-stiffened cylindrical shell made of functionally graded material (FGM) was studied here.According to Flügge theory and the orthotropic plate and shell theory, the coupled vibration characteristic equations of the submerged ring-stiffened FGM cylindrical shell under hydrostatic pressure were derived with the wave method.The natural frequencies of the submerged ring-stiffened FGM cylindrical shell under hydrostatic pressure were obtained with Newton iteration method.Finally, the critical pressure of the submerged ring-stiffened FGM cylindrical shell under hydrostatic pressure was gained with the linear fitting method.Through the comparative analysis of computations, the correctness and effectiveness of the proposed method was validated.Through numerical examples, the effects of material component, volume fraction, shell size, and ring size and number on the critical pressure of the submerged ring-stiffened FGM cylindrical shell under hydrostatic pressure were analyzed.