水下环肋功能梯度材料圆柱壳稳定性研究

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (13) : 80-85.

论文

水下环肋功能梯度材料圆柱壳稳定性研究

梁斌1，陈金晓1，李戎2，徐红玉1

作者信息 +

Study on stability of submerged ring-stiffened cylindrical shells with functionally graded material

LIANG Bin1, CHEN Jin-xiao1, LI Rong 2, XU Hongyu1

Author information +

文章历史 +

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，最后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，验证了本文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。

Abstract

The stability of submerged ring-stiffened cylindrical shells based on functionally graded material(FGM) is studied in this paper. According to Flügge theory and orthotropic theory, the coupled vibration characteristic equations of submerged ring-stiffened FGM cylindrical shells is derived by wave method. The natural frequency of submerged ring-stiffened FGM cylindrical shells is obtained by the Newton iteration method, the critical pressure of submerged ring-stiffened FGM cylindrical shells is obtained by linear fitting at last. The present analysis is validated by comparing results with those in the literature. By numerical examples, the effects of material component, volume fraction, shell size, ring size and number on the critical pressure of submerged ring-stiffened FGM cylindrical shell are illustrated.

导出引用

梁斌1，陈金晓1，李戎2，徐红玉1. 水下环肋功能梯度材料圆柱壳稳定性研究[J]. 振动与冲击, 2017, 36(13): 80-85

LIANG Bin1, CHEN Jin-xiao1, LI Rong 2, XU Hongyu1. Study on stability of submerged ring-stiffened cylindrical shells with functionally graded material[J]. Journal of Vibration and Shock, 2017, 36(13): 80-85

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