风荷载作用下输电塔结构动力可靠度分析
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摘要
介绍一种新的随机结构分析方法-概率密度演化方法,以及基于该方法的动力可靠度分析方法．为 了实现其在风工程中的应用,从随机Fourier谱的思想出发,阐述了随机风场具有随机性的物理本质,给出 了两个基本随机变量-地面粗糙度z0和10 m高平均风速U10服从的概率密度函数．最后,应用概率密度演 化方法对某输电塔结构受风荷载作用下的动力可靠度进行了分析,并将分析结果同随机模拟方法计算得到 的结果进行比较．算例证明,概率密度演化方法可以准确、有效地分析风荷载作用下输电塔结构的动力可 靠度．
A new stochastic structure analysis method, that is, probability density evolution method (PDEM) , is introduced firstly. Then, in order to apply it in the wind engineering, the idea of the stochastic Fourier spectrum is used to disclose the physical essence of the randomness of the wind field. Meantime, two basic random variables, that is, the roughness length z0 and the mean wind velocity at 10 m height U10, as well as their probability density functions (PDF) , are obtained. Finally, the PDEM is applied in the dynamic reliability analysis of a transmission tower subjected to the wind loading. The comparisons with the Monte Carlo simulations are carried out, which demonstrate the PDEM can be applied in the wind engineering accurately and efficiently.
A new stochastic structure analysis method, that is, probability density evolution method (PDEM) , is introduced firstly. Then, in order to apply it in the wind engineering, the idea of the stochastic Fourier spectrum is used to disclose the physical essence of the randomness of the wind field. Meantime, two basic random variables, that is, the roughness length z0 and the mean wind velocity at 10 m height U10, as well as their probability density functions (PDF) , are obtained. Finally, the PDEM is applied in the dynamic reliability analysis of a transmission tower subjected to the wind loading. The comparisons with the Monte Carlo simulations are carried out, which demonstrate the PDEM can be applied in the wind engineering accurately and efficiently.
引文
[1] 李杰,陈建兵．随机结构动力反应分析的概率密度演化方法[J]．力学学报,2003,35(4):437-442．
[2] 陈建兵,李杰．基于概率密度演化方法的随机结构动力可靠度分析[J]．计算力学学报,2004,21(3):285-290．
[3] 陈建兵,李杰．非线性随机结构动力可靠度的密度演化方法[J]．力学学报,2004,36(2):196-201．
[4] 李杰,张琳琳．脉动风速功率谱与随机Fourier幅值谱的关系研究[J]．防灾减灾工程学报,2004,24(4):363-369．
[5] Jie Li, Jian - Bing Chen. Dynamic response and reliability analysis of structures with uncertain parameters[J]. International Journal for Numerical Methods in Engineering, 2005, 62(1): 289-315.
[6] 李杰,李国强．地震工程学导论[M]．北京:地震出版社,1992．63．
[7] Alvin K F. Finite element model update via bayesian estimation and minimization of dynamic residuals[J]. AIAA Journal, 1997, 35(5): 879-886.
[2] 陈建兵,李杰．基于概率密度演化方法的随机结构动力可靠度分析[J]．计算力学学报,2004,21(3):285-290．
[3] 陈建兵,李杰．非线性随机结构动力可靠度的密度演化方法[J]．力学学报,2004,36(2):196-201．
[4] 李杰,张琳琳．脉动风速功率谱与随机Fourier幅值谱的关系研究[J]．防灾减灾工程学报,2004,24(4):363-369．
[5] Jie Li, Jian - Bing Chen. Dynamic response and reliability analysis of structures with uncertain parameters[J]. International Journal for Numerical Methods in Engineering, 2005, 62(1): 289-315.
[6] 李杰,李国强．地震工程学导论[M]．北京:地震出版社,1992．63．
[7] Alvin K F. Finite element model update via bayesian estimation and minimization of dynamic residuals[J]. AIAA Journal, 1997, 35(5): 879-886.
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