| 演变随机激励下线性结构的非平稳响应特性 |
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| 引用本文： | 方同,张天舒. 演变随机激励下线性结构的非平稳响应特性[J]. 振动工程学报, 1989, 0(3) |
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| 作者姓名： | 方同 张天舒 |
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| 作者单位： | 西北工业大学(方同)，西北工业大学(张天舒) |
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| 基金项目： | 国家自然科学基金与教委高校科技基金 |
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| 摘 要： | 本文采用复模态分析法,考察了常参数线性阻尼系统在演变随机激励下的非平稳响应特性.得到了响应时变相关函数矩阵的闭式解.所得结果通用于经典阻尼与非经典阻尼情形.方法简便实用,它将非平稳随机响应问题归结为复代数运算.所附算例分别就演变随机激励与相应的突加平稳激励情形,对系统时变均方响应的结果进行了对比.
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| 关 键 词： | 非平稳随机响应 复模态分析 结构动力学 随机振动 |
Nonstationary Response of Linear Structure Subjected to Evolutionary Random Excitations |
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| Fang Tong,Zhang Tianshu Northwestern Polytechnical University. Nonstationary Response of Linear Structure Subjected to Evolutionary Random Excitations[J]. Journal of Vibration Engineering, 1989, 0(3) |
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| Authors: | Fang Tong Zhang Tianshu Northwestern Polytechnical University |
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| Affiliation: | Fang Tong;Zhang Tianshu Northwestern Polytechnical University |
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| Abstract: | In this paper, the nonstationary random response of a MDOF time-invariant linear system subjected to evolutionary random excitations is discussed. Based on the complex modal analysis of random vibrations, the time-dependent correlation function matrix of the response is obtained in closed form. The results are applicable to both the classical and nonclassical damping cases. The method is straight-forward and efficient, since it reduces the nonstationary response problem to complex algebraic operations only. Illustrative examples are included to show the general behavior of the time-dependent mean square responses for both suddenly applied and evolutionary random excitations. |
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| Keywords: | nonstationary random response complex modal analysis structural dynamics random vibration |
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