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Sensitivity analysis of structures by virtual distortion method. (English) Zbl 0777.73044

Reliability and optimization of structural systems ’90, Proc. 3rd IFIP WG 7.5 Conf., Berkeley/CA (USA) 1990, Lect. Notes Eng. 61, 139-146 (1991).
[For the entire collection see Zbl 0753.00026.]
The paper deals with the methods of calculation of sensitivity analysis of structures. An application of the virtual distortion method proposed by the authors is compared with a well-known in the literature the first order reliability method. The authors conclude that the virtual distortion method can be successfully applied to estimate the displacement and stress sensitivity coefficients. A numerical example concerned with truss optimization illustrates a performance of sensitivity analysis and is used to compare the results of two methods. The paper has a cognitive character, and the technical application is also shown.

MSC:

74P99 Optimization problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
60K10 Applications of renewal theory (reliability, demand theory, etc.)

Citations:

Zbl 0753.00026