| 随机振动离散分析方法的稳定性证明 |
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| 引用本文： | 谭东耀,柳沛,杨庆山.随机振动离散分析方法的稳定性证明[J].哈尔滨建筑大学学报,1988(1). |
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| 作者姓名： | 谭东耀 柳沛 杨庆山 |
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| 作者单位： | 哈尔滨建筑工程学院工程理论研究所
(谭东耀)，哈尔滨建筑工程学院工民建八五级
(柳沛)，哈尔滨建筑工程学院工民建八五级(杨庆山) |
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| 摘 要： | 数值分析方法,对于工程结构随机振动问题来说是一种便于计算机实现的有效方法,而这种方法可以应用的前提,是要求它在计算过程中具有良好的稳定性和精确性。本文给出了随机振动离散分析的递推公式,并在结构的物理稳定条件下,对该公式的数值稳定性给予了证明。
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| 关 键 词： | 随机振动 离散分析 递推公式 稳定性 特征值 |
A Proof of the Stability of the Discrete Analysis Method of Random Vibration |
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| Tan Dongyao,Liu pei,Yang Qingshan.A Proof of the Stability of the Discrete Analysis Method of Random Vibration[J].Journal of Harbin University of Civil Engineering and Architecture,1988(1). |
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| Authors: | Tan Dongyao Liu pei Yang Qingshan |
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| Affiliation: | Tan Dongyao;Liu pei;Yang Qingshan |
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| Abstract: | For the random vibration problems of engineering structures, discreteanalysis method is an efficient tool which can be implemented on computereffectively. However, the condition of applying this metnod is that it shouldhave good behavior on numerical stability and accuracy. This paper firstgave out the recurrence formulas for discrete random analysis, and thenstudied their numerical stability under the condition of the engineering struc-tures being physically stable. |
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| Keywords: | random vibration discrete analysis recurrence formula stablility eigenvalue |
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