Skip to main content
Log in

The automatic generation of limit state function of hinged structure

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Murotsu, Y., H. Okada, K. Niwa and S. Miwa, Reliability analysis of truss structure by using matrix method,Ttransaction of the ASME, Journal of Mechanical Design,102, 4, Oct. (1980), 749–756.

    Article  Google Scholar 

  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.

    Google Scholar 

  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, Spinger-Verlag, Berlin, Heidelberg, New York (1986), 97–125.

    Google Scholar 

  5. Magide, K.I.,Optimal Design of a Structure, Translated by Lan Ti-en, Chinese Building Industry Publishing House (1977). (Chinese version)

  6. Qian Ling-xi,Optimal Design of Engineering Structure, Hydraulic Electricity Publishing House (1983). (in Chinese)

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Dai Tian-min

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wei-yi, C. The automatic generation of limit state function of hinged structure. Appl Math Mech 12, 1187–1193 (1991). https://doi.org/10.1007/BF02456058

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02456058

Key words

Navigation