| 引用本文: | 冯志刚,周建平.一维结构瞬态响应分析的传递函数方法.[J].国防科技大学学报,1998,20(5):9-13.[点击复制] |
| Feng Zhigang,Zhou Jianping.Transient Response Analysis of One Dimensional System by Distributed Transfer Function Method[J].Journal of National University of Defense Technology,1998,20(5):9-13[点击复制] |
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| 一维结构瞬态响应分析的传递函数方法 |
| 冯志刚, 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: |
| 本文给出了一种求解一维结构瞬态响应问题的解析方法。通过对控制方程及其定解条件进行Laplace变换, 将问题写成状态空间形式, 用传递函数法求得统一形式的解析解。通过Laplace逆变换求得结构在时域内的瞬态响应。文中给出了一些一维结构动力响应问题的算例。 |
| 关键词: 传递函数, 瞬态响应, Laplace变换, Laplace 逆变换 |
| DOI： |
| 投稿日期：1997-04-30 |
| 基金项目:本文由国家自然科学基金(资助号19572027) 、国家教委归国留学人员基金和国防科技大学校预研基金资助 |
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| Transient Response Analysis of One Dimensional System by Distributed Transfer Function Method |
| Feng Zhigang, Zhou Jianping |
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(Department of Aerospace Technology, NUDT, Changsha, 410073)
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| Abstract: |
| The paper presents an analytical method for the analysis of dynamic response of one dimensional structures. In the analysis, the linear partial differential equations and the inhomogeneous boundary conditions that govern the response of the distributed subsystem are Laplace transformed with respect to time, and case into a state space form. The transfer function is determined in an exact and closed form by the state space technique. The transient response is obtained using the inverse Laplace transformation. Numerical examples are provided to illustrate the efficiency of the method. |
| Keywords: transfer function, transient response, Laplace transform, inverse Laplace transform |
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