A nonlinear programming algorithm for finite element limit analysis using feasible arc searching technique

This article presents a nonlinear programming algorithm for finite element limit analysis (FELA) based on feasible arc searching technique (FAST). The proposed algorithm has the potential to significantly reduce the iteration numbers required for convergence, making it a valuable tool for solving co...

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Vydáno v:International journal for numerical methods in engineering Ročník 124; číslo 22; s. 5102 - 5119
Hlavní autoři: Zhang, Rui, Xiao, Yao
Médium: Journal Article
Jazyk:angličtina
Vydáno: Bognor Regis Wiley Subscription Services, Inc 30.11.2023
Témata:
Algorithms
Convergence
Criteria
Empirical analysis
Feasibility
Finite element method
Geotechnical engineering
Limit analysis
Nonlinear programming
Optimization
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ISSN:0029-5981, 1097-0207
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Shrnutí:This article presents a nonlinear programming algorithm for finite element limit analysis (FELA) based on feasible arc searching technique (FAST). The proposed algorithm has the potential to significantly reduce the iteration numbers required for convergence, making it a valuable tool for solving complex optimization problems from FELA. The algorithm also introduces several new features to the existing methods, including: (i) a novel method for determining a reasonable updating step length; (ii) the avoidance of solving an additional “phase one problem” for finding an initial feasible point; and (iii) the proposition of an empirical criterion for detecting infeasibility problems. The effectiveness of the proposed approach has been demonstrated through several classic examples derived from geotechnical engineering. The initial two examples show the superior convergence speed of the novel approach compared to existing methods. Additionally, the third example highlights the efficacy of the feasibility detection criterion for problems involving both prescribed and unknown external forces.
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ISSN:0029-5981
1097-0207
DOI:10.1002/nme.7340