| 引用本文: | 雷勇军,李海阳,周建平.复合材料圆锥壳稳定性分析的传递函数法.[J].国防科技大学学报,1999,21(6):1-4.[点击复制] |
| Lei Yongjun,Li Haiyang,Zhou Jianping.Distributed Transfer Function Method for Stability Analysis of Composite Conical Shells[J].Journal of National University of Defense Technology,1999,21(6):1-4[点击复制] |
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| 复合材料圆锥壳稳定性分析的传递函数法 |
| 雷勇军, 李海阳, 周建平 |
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(国防科技大学 航天技术系 湖南 长沙 410073)
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| 摘要: |
| 基于线弹性小变形理论, 利用Fourier 级数展开、Laplace 变换和摄动方法, 建立了复合材料薄壁圆锥壳的静力响应、频率响应、自由振动与屈曲特征值问题的渐近传递函数解。构造了复杂边界条件、中间带支撑、变锥度及阶梯变厚度圆锥壳的传递函数解。数值计算结果表明该方法具有很高的计算精度。 |
| 关键词: 复合材料圆锥壳, 振动, 稳定性, 渐近解, 传递函数法 |
| DOI： |
| 投稿日期：1999-01-11 |
| 基金项目:国家自然科学基金(19572027)、国家教委优秀青年教师基金和归国留学人员基金资助项目 |
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| Distributed Transfer Function Method for Stability Analysis of Composite Conical Shells |
| Lei Yongjun, Li Haiyang, Zhou Jianping |
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(Department of Aerospace Technology, NUDT, Changsha, 410073)
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| Abstract: |
| In this paper, based on linear elastic and small deformation theory, an asymptotic distributed transfer function method (TFM) is presented for static deformation, free vibration and buckling analysis of isotropic/composite thin conical shells, where Fourier series expansion, Laplace transform, perturbation technique are applied. Synthesizing the transfer functions of sub-segments, the TFM solution is worked out for combined shells composed of several conical shell segments with different conical angle, thickness, complex boundary conditions and middle-supported constraints. Numerical results shows that this asymptotic TFM solution is of very high precision. |
| Keywords: composite conical shell, vibration, stability, asymptotic solution, distributed transfer function method |
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