To read this content please select one of the options below:

Continuation methods for tracing the equilibrium path in flexible mechanism analysis

Alberto Cardona (INTEC (Conicet ‐ Universidad Nacional del Litoral), Santa Fe, Argentina)
Alfredo Huespe (INTEC (Conicet ‐ Universidad Nacional del Litoral), Santa Fe, Argentina)

Engineering Computations

ISSN: 0264-4401

Article publication date: 1 March 1998

550

Abstract

Presents an implementation of continuation methods in the context of a code for flexible multibody systems analysis. These systems are characterized by the simultaneous presence of elastic deformation terms and rigid constraints. In our formulation, the latter terms are introduced by an augmented Lagrangian technique, resulting in the presence of Lagrange multipliers in the set of unknowns, together with displacement and rotation associated terms. Essential aspects for a successful implementation are discussed: e.g. the selection of an appropriate metric for computing the path following constraint, a flexible description of control parameters which accounts for conservative and nonconservative loads, imposed displacements and imposed temperatures (dilatation effects), and the inclusion of second order derivatives of rigid constraints in the Jacobian. A large set of examples is presented, with the objective of evaluating the numerical effectiveness of the implemented schemes.

Keywords

Citation

Cardona, A. and Huespe, A. (1998), "Continuation methods for tracing the equilibrium path in flexible mechanism analysis", Engineering Computations, Vol. 15 No. 2, pp. 190-220. https://doi.org/10.1108/02644409810202602

Publisher

:

MCB UP Ltd

Copyright © 1998, MCB UP Limited

Related articles