构件适用功能要求的模糊性及可靠度分析方法  

Fuzziness of components serviceability requirements and relevant methods of reliability analysis

作　　者：姚继涛[1] 杨梓橦 胡玉坤 Yao Jitao;Yang Zitong;Hu Yukun(School of Civil Engineering,Xi’an University of Architecture and Technology,710055,Xi’an,China)

机构地区：[1]西安建筑科技大学土木工程学院,西安710055

出　　处：《应用力学学报》2021年第1期326-331,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金项目(51278401)。

摘　　要：设计标准中对构件适用功能的要求常具有一定的模糊性,结构可靠度分析中应考虑这种不确定性的影响。目前虽然利用模糊集合及其隶属函数,建立了功能要求模糊时构件可靠度的分析方法,但它们在作用概率组合、功能函数表达、模糊概率计算等方面仍存在一定的不足。为此,首先在作用概率组合中引入更为合理的随机过程组合方法,并采用便于反映设计中各种情况的量纲为一形式的功能函数;其次,重点针对适用功能要求的模糊性,通过引入模糊边界,提出概念更为明晰的模糊概率简化计算方法,最终形成完整的功能要求模糊时构件可靠度分析的基本方法。该方法具有更为合理的理论基础和更好的精度,且便于应用。The serviceability requirements of components in design standards are often fuzzy to a certain extent, and the influence of such uncertainty should be taken into account in the analysis of structural reliability. Although the methods for analyzing structural reliability with fuzzy serviceability requirements are established by use of fuzzy sets and their membership functions at present, there are some deficiencies yet in respects of probabilistic combination of actions, expression of functional functions, calculation of fuzzy probability, etc. In view of this, a more reasonable stochastic process combination method is introduced into the probabilistic combination of actions, and a dimensionless function which is convenient to reflect various situations in design is adopted;Subsequently, focusing on the fuzziness of serviceability requirements, a simplified method for calculating the fuzzy probability with clearer concept is proposed by introducing fuzzy boundaries, and a complete basic analysis method of reliability with fuzzy serviceability requirements is formed finally. It has a good theoretical foundation and higher accuracy, and is convenient for application.

关 键 词：结构适用性 结构可靠度 模糊性 隶属函数 隶属密度函数 

分 类 号：TU311.2[建筑科学—结构工程]