| 引用本文: | 李道奎,周建平,雷勇军.基于混合变量传递函数方法的圆柱壳屈曲分析.[J].国防科技大学学报,2002,24(1):22-25.[点击复制] |
| LI Daokui,ZHOU Jianping,LEI Yongjun.Buckling Analysis of Cylindrical Shell Based on Mixed Variables Transfer Function Method[J].Journal of National University of Defense Technology,2002,24(1):22-25[点击复制] |
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| 基于混合变量传递函数方法的圆柱壳屈曲分析 |
| 李道奎, 周建平, 雷勇军 |
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(国防科技大学 航天与材料工程学院，湖南 长沙 410073)
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| 摘要: |
| 提出了一种分析正交各向异性圆柱壳和阶梯圆柱壳稳定性问题的混合变量传递函数方法。首先在壳体环向利用三角级数对位移变量进行展开，利用Flügge薄壳理论和变分原理，建立圆柱壳的平衡方程，找出对偶力变量，将平衡方程写成混合变量形式；通过定义混合状态变量，建立了系统的状态空间方程；然后利用传递函数方法，得到了具有任何轴对称边界条件轴压圆柱壳屈曲问题的解析解；最后通过位移连续和力平衡条件，得到了阶梯圆柱壳屈曲问题的解。理论解推导过程表明此方法在引入边界条件和进行阶梯圆柱壳求解时非常方便。算例分析的结果验证了本方法的正确性。 |
| 关键词: 混合变量 传递函数 屈曲 状态空间 |
| DOI： |
| 投稿日期：2001-08-29 |
| 基金项目:国家杰出青年科学基金资助项目(19925209) |
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| Buckling Analysis of Cylindrical Shell Based on Mixed Variables Transfer Function Method |
| LI Daokui, ZHOU Jianping, LEI Yongjun |
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(College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073,China)
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| Abstract: |
| A mixed variables transfer function is presented for analyzing the stability of orthotropic cylindrical shells and stepped cylindrical shells. First, displacement variables are expanded in trigonometric series of circumferential coordinate. Flügge thin shell theory and variational principle are adopted to obtain governing equations and find dual force variables. Consequently, governing equations are written in the form of mixed variables. State-space equation of the system is established by defining mixed state variables. Then, by transfer function method, closed-formed solutions for buckling problems of cylindrical shells under axial compression with arbitrary axisymmetric boundary conditions are obtained. Finally, solutions for buckling problems of stepped cylindrical shells are obtained by enforcing displacement continuity and force balance. Driving process of analytical solutions show that it is very convenient for introducing boundary conditions and solving the buckling problems of stepped cylindrical shells in this method. Numerical results validate this method. |
| Keywords: mixed variables transfer function buckling state-space |
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