| 含模糊参数的随机振动 |
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| 引用本文： | 王光远 欧进萍. 含模糊参数的随机振动[J]. 固体力学学报, 1991, 12(3): 208-217 |
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| 作者姓名： | 王光远 欧进萍 |
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| 作者单位： | 哈尔滨建筑工程学院(王光远)，哈尔滨建筑工程学院(欧进萍) |
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| 摘 要： | 本文在抗震结构模糊随机振动的研究基础上,进一步研究含模糊参数的随机振动分析方法,为了较好地描述具有模糊性的随机干扰,首先在Zadeh定义的模糊变量的基础上,定义了含模糊参数的随机变量和含模糊参数的随机过程,并讨论了它们的概率分布和数字特征;然后将模糊随机干扰模拟为含模糊参数的随机过程,提出了在这种模糊随机干扰下振动体系的模糊随机反应分析的基本方法和数值方法;最后对于抗震结构的模糊随机振动给出了具体的分析和算例
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| 关 键 词： | 模糊参数 随机振动 抗震结构 |
RANDOM VIBRATION WITH FUZZY PARAMETERS |
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| Wang Guangyuan and Ou Jinping. RANDOM VIBRATION WITH FUZZY PARAMETERS[J]. Acta Mechnica Solida Sinica, 1991, 12(3): 208-217 |
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| Authors: | Wang Guangyuan and Ou Jinping |
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| Affiliation: | Harbin Architectural and Civil Engineering Institute |
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| Abstract: | In this paper, based on our previous papers [1-4], the general theory of fuzzy random vibration with fuzzy parameters is studied. In order to better describe the random excitation with fuzziness in mathematics, first, the random variable and random process with a fuzzy parameter are defined and their probability distributions and statistical moments are discussed. Secondly, by simulating the fuzzy random excitation as a random process with a fuzzy parameter, the fundamental method and numerical method are presented for analysing the fuzzy random response of linear or nonlinear oscillators subjected to this kind of excitation. Finally, the methods are applied to the fuzzy random vibration of aseismic structures and a concrete example is given. |
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| Keywords: | fuzzy random excitation fuzzy random vibration fuzzy random response. |
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