铰接结构极限状态函数的自动生成
The Automatic Generation of Limit State Function of Hinged Structure
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摘要: 本文在结构可靠性分析中,以铰接结构为例,推导了结构连续变更定理,并将其用于生成杆件的极限状态函数,避免了由于结构拓扑不断变更引起的总刚度阵多次组装及多次求逆运算.引入了结构退化为机构的新判据,算例结果令人满意.Abstract: In this paper, the theorem of structure continual variation of truss structure in the analysis of structure reliability is derived, and it is used to generate limit state function automatically. We can avoid repeated assembly of global stiffness matrix and repeated inverse operations of the matrix caused by constant changes of structure topology. A new criterion of degenerate of the structure into mechanism is introduced. The calculation examples are satisfactory.
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Key words:
- hinged structure /
- continual variation theorem /
- limit state function /
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[1] Murotsu,Y.,H.Okada,K.Niwa and S.Miwa,Reliability analysis of truss structure by using matrix method,Transaction of the ASME,Journal of Mechanical Design,102,4,Oct.(1980),749-756. [2] Orada,H.,S.Matsuzaki and Y.Murotsu,Safety margins for reliability analysis of frame structures,Bulletin of University of Osaka Prefecture,Series A,32,2(1983),155-162. [3] Murotsu,Y.,M.Yonezawa,H.Okada,S.Matsuzaki and T.Matsumoto,A study on first-order second-moment methods in structural reliability,Bulletin of University of Osaka Prefecture,Series A,33,1(1984). [4] Thoft-Chritensen,Palle and Yoshisada Murotsu,Application of Structural Systems Reliability Theory,Springer-Verlag,Berlin,Heidelberg,New York(1986),97-125. [5] 马吉德,K,I,著,蓝调恩译,《结构最优设计》,中国建筑工业出版社(1980). [6] 钱令希,《工程结构优化设计》,水利电力出版(1983). -
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