水下环肋功能梯度材料圆柱壳耦合振动的波动解

研究了考虑功能梯度材料的水下环肋圆柱壳耦合振动特性。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圆柱壳的耦合频率值。经过退化计算，与已有文献的研究结果进行对比，验证了文中计算的正确性和有效性。通过算例，分析了静水压力下环肋FGM圆柱壳在不同静水压力、材料组分、体积分数、壳体尺寸、肋条尺寸和数目等情况下耦合振动的变化规律，以及这些因素对耦合频率的影响。

Study on the coupled vibration of submerged ring-stiffened cylindrical shells with functionally graded material using wave propagation approach

The coupled vibration characteristics of submerged ring-stiffened cylindrical shells based on functionally graded material (FGM) is studied. According to Flügge theory and orthotropic theory, the cou-pled vibration characteristic equations of submerged ring-stiffened FGM cylindrical shells are derived by wave method. The coupled frequency of submerged ring-stiffened FGM cylindrical shells is obtained by the Newton iteration method. The present analysis is validated by comparing results with those in the literature. By numerical examples, the effects of hydrostatic pressure, material component, volume fraction, shell size, ring size and number, and boundary condition on the natural frequencies of submerged ring-stiffened cylin-drical shell are illustrated.