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Elasto-plastic deformations in multibody dynamics

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Abstract

The problem of formulating and numerically solving the equations of motion for a multibody system undergoing large motion and clasto-plastic deformations is considered here. Based on the principles of continuum mechanics and the finite element method, the equations of motion for a flexible body are derived. It is shown that the use of a lumped mass formulation and the description of the nodal accelerations relative to a nonmoving reference frame lead to a simple form of these equations. In order to reduce the number of coordinates that describe a deformable body, a Guyan condensation technique is used. The equations of motion of the complete multibody system are then formulated in terms of joint coordinates between the rigid bodies. The kinematic constraints that involve flexible bodies are introduced in the equations of motion through the use of Lagrange multipliers.

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  1. Department of Aerospace and Mechanical Engineering, University of Arizona, 85721, Tucson, AZ, U.S.A.

    Jorge A. C. Ambrosio & Parviz E. Nikravesh

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  1. Jorge A. C. Ambrosio
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  2. Parviz E. Nikravesh
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Ambrosio, J.A.C., Nikravesh, P.E. Elasto-plastic deformations in multibody dynamics. Nonlinear Dyn 3, 85–104 (1992). https://doi.org/10.1007/BF00118987

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  • DOI: https://doi.org/10.1007/BF00118987

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