| 引用本文: | 雷勇军,李海阳,周建平.复合材料组合梁的分布参数传递函数法分析模型.[J].国防科技大学学报,1999,21(6):5-8 ，23.[点击复制] |
| Lei Yongjun,Li Haiyang,Zhou Jianping.Analysis Model of Composite Combined Beams by Distributed Parameter Transfer Function Method[J].Journal of National University of Defense Technology,1999,21(6):5-8 ，23[点击复制] |
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| 复合材料组合梁的分布参数传递函数法分析模型 |
| 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: |
| 应用分布参数传递函数法分析了复合材料组合梁在轴压载荷作用下的振动与稳定性问题。通过引入对偶变量, 利用Legrendre 变换和Laplace 变换, 建立了可进入Hamilton 体系的混合能量变分原理, 并推导出了结构在复频域内的状态空间控制方程, 从而得到了任意边界条件下组合梁振动与稳定性问题的传递函数精确解。分析了一阶和高阶横向剪切变形、转动惯量、细长比、材料各向异性等多种因素对组合梁固有频率和屈曲载荷的影响。文中最后给出了数值算例, 验证了本方法的有效性和适应性。 |
| 关键词: 复合材料组合梁, 振动, 稳定性, 分布参数传递函数法 |
| 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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| Analysis Model of Composite Combined Beams by Distributed Parameter Transfer Function Method |
| 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, the distributed parameter transfer function method is applied to analyzing the vibration and stability of composite combined beams under axial compression. The Hamiltonian formalism of a modified mixed variational principle about the symptic variables is established using Legrendre transformation with spatial variable as independent variable instead of time. The state-space equations in Laplace transform domain is derived from using Hamilton's principle and Laplace transform. The unified and closed form transfer function solutions are obtained for vibration frequencies and buckling loads under arbitrary boundary restrictions. The influences of the first and high order shear deformation, torsion deformtion, rotary inertia, length-to-thickness ratio and material anisotropy on natural frequencies and buckling loads are investigated. Numerical examples are provided to demonstrate the efficiency and suitability of the methodology. |
| Keywords: composite combined beam, vibration, stability, distributed parameter transfer function method |
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