周道成, 段忠东, 欧进萍. 建筑结构相关荷载组合的平稳二项随机过程方法[J]. 工程力学, 2007, 24(4).
引用本文: 周道成, 段忠东, 欧进萍. 建筑结构相关荷载组合的平稳二项随机过程方法[J]. 工程力学, 2007, 24(4).
ZHOU Dao-cheng, DUAN Zhong-dong, OU Jin-ping. STATIONARY BINOMIAL PROCESSES FOR COMBINATION OF CORRELATIVE LOADS FOR BUILDING STRUCTURES[J]. Engineering Mechanics, 2007, 24(4).
Citation: ZHOU Dao-cheng, DUAN Zhong-dong, OU Jin-ping. STATIONARY BINOMIAL PROCESSES FOR COMBINATION OF CORRELATIVE LOADS FOR BUILDING STRUCTURES[J]. Engineering Mechanics, 2007, 24(4).

建筑结构相关荷载组合的平稳二项随机过程方法

STATIONARY BINOMIAL PROCESSES FOR COMBINATION OF CORRELATIVE LOADS FOR BUILDING STRUCTURES

  • 摘要: 目前建筑结构设计和分析的荷载组合采用的是经验性的荷载组合规则,荷载组合结果具有较大的随意性,不能计算荷载组合值的保证率。在将随时间变化的荷载随机过程假定为平稳二项随机过程的基础上,研究多个相关或不相关荷载(或荷载效应)组合问题。考虑参与组合的荷载随机变量间的相关性,确定了组合荷载随机过程的参数;根据最大熵原理确定了荷载组合随机过程的任意时段幅值随机变量的概率分布,从而建立了相关随机荷载的组合方法;结合现行规范设计方法,进一步讨论了荷载组合系数的确定;最后采用Monte Carlo试验验证了本文的荷载组合方法,并对常见的几种经验荷载组合规则进行了概率校核。

     

    Abstract: In the present code for building structure design, empirical load combination rules are commonly used, which generally results in non-objective design combination load values and does not provide an approach to evaluate the probability of an actual combination load to exceed a prescribed load value. Assuming that loads are stationary binomial processes, combinations of multi correlated or uncorrelated loads are studied. Considering the correlation of loads, the parameters of load combination random process are determined. The probabilistic distribution function of load amplitude of stationary binomial process for load combination is approached by the maximum entropy method, and the cumulative probabilistic distribution of maximum load combination is deduced. Further the load combination factors, which provide an approach to consider load combinations in actual design, are calibrated. Finally the load combination method presented in this paper is verified by a Monte Carlo simulation experiment. The loads by various empirical load combination rules are evaluated using the method developed in this paper.

     

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