Lagrange multipliers and the primal-dual method in the non-linear static equilibrium of multibody systems
| Autor: | Goizalde Ajuria, Javier Vallejo, Rafael Avilés, Armando Bilbao |
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| Rok vydání: | 1998 |
| Předmět: |
Applied Mathematics
Numerical analysis General Engineering Constrained optimization Maxima and minima symbols.namesake Error function Constraint algorithm Computational Theory and Mathematics Modeling and Simulation Lagrange multiplier symbols Applied mathematics Penalty method Newton's method Algorithm Software Mathematics |
| Zdroj: | Communications in Numerical Methods in Engineering. 14:463-472 |
| ISSN: | 1069-8299 |
| Popis: | This paper presents four different approaches to the solution of the non-linear static-equilibrium problem in complex linkages, including rigid and elastic elements. The error function is based on the potential of the system, and includes rigid elements by means of non-linear constraints. To this end use is made of Lagrange multipliers, along with the primal-dual method, penalty functions and weighted stiffness, comparisons being made between them. A Newton-Raphson method is used in seeking function minima for equilibrium positions. This procedure is also directly applicable to the other linkage and multibody position problems. |
| Databáze: | OpenAIRE |
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