單個(gè)構(gòu)件當(dāng)前抗力的信度推斷方法
姚繼濤,解耀魁
- 摘 要
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(西安建筑科技大學(xué)土木工程學(xué)院,西安 710055)[摘要]在既有結(jié)構(gòu)的可靠性評(píng)定中,目前對(duì)單個(gè)構(gòu)件當(dāng)前抗力的推斷并沒(méi)有明確的方法,為此分別提出了基于幾何參數(shù)、材料性能測(cè)試結(jié)果和基于相關(guān)性分析的推斷方法。兩種方法均考慮了既有構(gòu)件的特點(diǎn)、幾何參數(shù)和材料性能的信息以及測(cè)量不確定性、空間不確定性對(duì)測(cè)試結(jié)果的影響,第二種方法還充分利用了與抗力相關(guān)的剛度、撓度、裂縫寬度等其他方面的信息,使構(gòu)件抗力的推斷建立在更充實(shí)的信息基礎(chǔ)上。實(shí)例分析的結(jié)果表明,在測(cè)試結(jié)果相同的情況下,采用基于幾何參數(shù)、材料性能測(cè)試結(jié)果的推斷方法可得到更有利的抗力推斷結(jié)果,采用基于相關(guān)性分析的推斷方法可正確反映剛度等對(duì)抗力推斷結(jié)果的影響。[關(guān)鍵詞]既有結(jié)構(gòu);抗力;信度;相關(guān)性;不確定性中圖分類號(hào):TU311-4文獻(xiàn)標(biāo)識(shí)碼:A文章編號(hào):1002-848X(2011)05-0120-05Method for inferring current resistance of a single member based on belief functionYao Jitao, Xie Yaokui(School of Civil Engineering, Xi′an University of Architecture and Technology, Xi′an 710055, China)Abstract:In the reliability assessment of the existing structure, there are no specific methods to infer the current resistance of a single member. Therefore, two inference methods based on tested data of geometrical parameter and material property and based on correlation respectively were proposed. The two methods both consider the characteristics of existing structures, the tested data of geometrical parameter and material property and affection on test results of measurement uncertainty and space uncertainty. The second method even makes full use of other information in respects of stiffness, deflection, crack width and so on which interrelate with resistance. It makes the inference of member resistance build on much sufficient groundwork of information. Example analysis results show that the method based on tested data of geometrical parameter and material property can get reasonable inferring results in the same tested data. The inference method based on correlation can properly reflect the stiffness affect on result of inferring resistance.Keywords:existing structure; resistance; belief function; correlation; uncertainty*國(guó)家自然科學(xué)基金資助項(xiàng)目(50678143)。作者簡(jiǎn)介:姚繼濤,博士,教授,Email:yaojitao@163.com。參考文獻(xiàn)[1]GBJ144—90工業(yè)廠房可靠性鑒定標(biāo)準(zhǔn)[S].北京:中國(guó)建筑工業(yè)出版社,1990.[2]GB50292—1999 民用建筑可靠性鑒定標(biāo)準(zhǔn)[S]. 北京:中國(guó)建筑工業(yè)出版社,1999.[3]GBJ68—84建筑結(jié)構(gòu)可靠度設(shè)計(jì)統(tǒng)一標(biāo)準(zhǔn)[S]. 北京:中國(guó)建筑工業(yè)出版社,1986.[4]王光遠(yuǎn).工程軟設(shè)計(jì)理論[M].北京:科學(xué)出版社,1992.[5]姚繼濤.既有結(jié)構(gòu)可靠性理論及應(yīng)用[M].北京:科學(xué)出版社,2008.[6]YAO JITAO,XIE YAOKUI,FU QIANG. General mathematical approach to subjective uncertainty[C]//Proceedings of the Eighth International Symposium on Structural Engineering for Young Experts,2006.[7]SHAFER G. A mathematical theory of evidence[M]. Princeton: Princeton University Press, 1976.[8]ISO 13822:2003 Bases for design of structures-Assessment of existing structures[S]. 2003.[9]姚繼濤,董振平.隨機(jī)變量的相關(guān)性和結(jié)構(gòu)可靠度[J].西安建筑科技大學(xué)學(xué)報(bào),2000,32(2):114-118.[10]陳旭東.考慮測(cè)試方法不確定度的材料強(qiáng)度統(tǒng)計(jì)推斷[D].西安:西安建筑科技大學(xué),2008.
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