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| 随机初始挠度结构的随机参数振动分析 | |
| 引用本文： | 沈小锋 张惠侨 等. 随机初始挠度结构的随机参数振动分析[J]. 应用力学学报, 1990, 7(1): 1-9 |
| 作者姓名： | 沈小锋 张惠侨 等 |
| 作者单位： | 上海交通大学，上海交通大学，上海交通大学 |
| 摘 要： | 本文运用随机平均法，分析随机参数载荷作用下具有随机初始挠度结构的参数振动，利用FPK方程导出结构位移、速度的稳态联合概率密度函数，给出响应幅值的矩分析表达式，由此推出矩响应稳定条件，文中还详细讨论几种特殊参数载荷作用下结构的幅值响应，分析随机初始挠度对结构响应的影响。 |
| 关 键 词： | 结构 随机初始挠度 随机参数振动 随机平均法 |
A STUDY ON RANDOM PARAMETRIC VIBRATION OF STRUCTURE WITH STOCHASTIC INITIAL DEFLECTION |
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| Shen Xiao-feng Zhang Hui-qiao Fan Zu-yao. A STUDY ON RANDOM PARAMETRIC VIBRATION OF STRUCTURE WITH STOCHASTIC INITIAL DEFLECTION[J]. Chinese Journal of Applied Mechanics, 1990, 7(1): 1-9 | |
| Authors: | Shen Xiao-feng Zhang Hui-qiao Fan Zu-yao |
| Affiliation: | Shanghai Jiaotong University |
| Abstract: | Applying the technique of stochastic averaging, the random parametrio vibration of structure with stochastic initial deflection is analysed. The stationary joint probability density functions of both displacement and velocity of structure are obtained by using the FPK equation. The analytical moment expression of amplitude response is given, and then the condition of stability in moment response of the structure is deduced. Some special loading cases are discussed, in which the effects of stochastic initial deflection on the response of structure are considered in detail. |
| Keywords: | Strutting stochastic initial deflection random parametric vibration stochastic average method. |
| 本文献已被 CNKI 维普 等数据库收录！ | |