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Structural Engineering and Mechanics Volume 5, Number 5, September 1997 , pages 491-505 DOI: https://doi.org/10.12989/sem.1997.5.5.491 |
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Complementarity and nonlinear structural analysis of skeletal structures |
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TinLoi F
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| Abstract | ||
| This paper deals with the formulation and solution of a wide class of-structures, in the presence of both geometric and material nonlinearities, as a particular mathematical programming problem. We first present key ideas for the nonholonomic (path dependent) rate formulation for a suitably discretized structural model before we develop its computationally advantageous stepwise holonomic (path independent) counterpart. A feature of the final mathematical programming problem, known as a nonlinear complementarity problem, is that the governing relations exhibit symmetry as a result of the introduction of so-called nonlinear. \'\'residuals\'\'. One advantage of this form is that it facilitates application of a particular iterative algorithm, in essence a predictor-corrector method, for the solution process. As an illustrative example, we specifically consider the simplest case of plane trusses and detail in particular the general methodology for establishing the static-kinematic relations in a dual format. Extension to other skeletal structures is conceptually transparent. Some numerical examples are presented to illustrate applicability of the procedure. | ||
| Key Words | ||
| elastoplastic analysis, large displacement, mathematical programming, nonlinear complementarity problem, structural plasticity | ||
| Address | ||
| TinLoi F, UNIV NEW S WALES,SCH CIVIL ENGN,SYDNEY,NSW 2052,AUSTRALIA | ||