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Structural Engineering and Mechanics Volume 2, Number 4, December 1994 , pages 313-326 DOI: https://doi.org/10.12989/sem.1994.2.4.313 |
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Nonlinear dynamic FE analysis of structures consisting of rigid and deformable parts I-Formulation |
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J. Rojek and M. Kleiber
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| Abstract | ||
| Some structures under the action of some specific loads can be treated as consisting of rigid and deformable parts. The paper presents a way to include rigid elements into a finite element model accounting for geometrical and material nonlinearities. Lagrange multipliers technique is used to derive equations of motion for the coupled deformable-rigid system. Solution algorithm based on the elimination of the Lagrangian multipliers and dependent kinematic unknowns at the element level is described. A follow-up paper (Rojek and Kleiber 1993) complements the discussion by giving details of the computer implementation and presenting some realistic test examples. | ||
| Key Words | ||
| nonlinear finite element analysis; rigid body dynamics; inelastic structures. | ||
| Address | ||
| Institute of Fundamental Technological Research, Polish Academy of Sciences, Swietokrzyska 21, Warsaw 00-049, Poland | ||