引用本文: | 李海阳,周建平,冯志刚.变截面梁的数值传递函数解法[J].国防科技大学学报,1999,21(4):22-25.[点击复制] |
Li Haiyang,Zhou Jianping,Feng Zhigang.Numerical Distributed Transfer Function Method for Wedge Beam[J].Journal of National University of Defense Technology,1999,21(4):22-25[点击复制] |
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变截面梁的数值传递函数解法 |
李海阳, 周建平, 冯志刚 |
(国防科技大学 航天技术系 湖南 长沙 410073)
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摘要: |
本文在对一阶变系数微分方程组的数值解分析的基础上, 提出了一种数值传递函数方法, 作为对传递函数方法的一种直接推广。利用这种方法可以很方便地把传递函数方法扩展到各种变系数微分方程问题, 本文以变截面梁为例进行了讨论, 并建立了一种通用单元以减少计算。数值算例表明本方法具有精度高、应用灵活的特点。 |
关键词: 数值传递函数, 通用单元, 变系数微分方程 |
DOI: |
投稿日期:1998-10-11 |
基金项目:国家自然科学基金资助 |
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Numerical Distributed Transfer Function Method for Wedge Beam |
Li Haiyang, Zhou Jianping, Feng Zhigang |
(Department of Aerospace Technology, NUDT, Changsha, 410073)
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Abstract: |
A numerical distributed transfer function method (NDTFM) is introduced for the analysis of state space equations of distributed parameter systems with variable coefficients. The method is the extension of DTFM (distributed transfer function method), and it is easy to use for various physical-mathematical problems with variable parameters. Wedge beam is analyzed using this method, and a general element is derived to raise numerical efficiency. Numerical results show that this method is efficient and easy to use. |
Keywords: NDTFM, general element, variable coefficients |
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