| 一般二阶线性分布参数系统的传递函数研究 |
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| 引用本文： | 钟晴秋,蒋慰孙.一般二阶线性分布参数系统的传递函数研究[J].华东理工大学学报(自然科学版),1988(1). |
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| 作者姓名： | 钟晴秋 蒋慰孙 |
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| 作者单位： | 华东化工学院自动化研究所
(钟晴秋)，华东化工学院自动化研究所(蒋慰孙) |
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| 摘 要： | 本文研究了一般平稳二阶线性分布系统在两种边界条件下的传递函数问题。先用方程系数恒值化方法将原系统加以近似。对第一种边界条件,根据二阶系统本身的性质来导出传递函数表达式。第二种边界条件下的传递函数则被表示为一组递推公式的结果。
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| 关 键 词： | 分布参数系统 传递函数 逼近 边界条件 偏微分方程 |
Studies on the transfer functions of an ordinary second-order linear distributed parameter systems |
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| Zhong Qingqiu and Jiang Weisun.Studies on the transfer functions of an ordinary second-order linear distributed parameter systems[J].Journal of East China University of Science and Technology,1988(1). |
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| Authors: | Zhong Qingqiu and Jiang Weisun |
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| Institution: | Research Institute of Automatic Control |
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| Abstract: | In this paper, the problem of deriving the transfer functions of stationary secondorder linear distributed parameter systems is studied. Firstly, a piece-wise method is used to get the approximation of the system, and the transfer functions of the system are then developed under two different sorts of boundary conditions. Under the first condition the transfer functions are formed accordrng to the inherent property of a secondorder differential equation, while under the second they are expressed as the final results of a set of recurrence formulas. |
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| Keywords: | distributed parameter systems transfer functions approximation boundary condition partial differential equation |
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