Tracing structural static path by dynamic relaxation method

Authors

Civil Engineering, Faculty of Engineering, University of Gonabad, Gonabad, Iran

Abstract

The common dynamic relaxation algorithm (DR) does not have the ability to trace the static path. In these techniques, the jumps occur at the limit points. A variable load factor is used to fix this defect. Here, a new procedure is suggested to calculate the load factor. The authors’ relationship is achieved by minimizing external work and residual energy, simultaneously. It should be stated that the proposed load factor depends only on the DR artificial parameters. To show the ability of the new formulation, several truss and shell structures with nonlinear geometrically behavior are analyzed. All used methods are ranked by the number of iterations, numbers of convergence points and total duration analysis. Numerical solutions show the high efficiency of the new method. In other words, the authors' technique, in addition to good accuracy, has higher convergence rate, in comparison to the other strategies. On the other hand, the time duration of the proposed method to trace the static paths has been reduced appropriately compared to other techniques.

Keywords

References

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Journal of Solid and Fluid Mechanics
Volume 12, Issue 6
January and February 2023
Pages 35-48

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