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S9 Fenômenos Não-Lineares e Caóticos em Engenharia |
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Title:
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PRELIMINARY NUMERICAL RESULTS FOR CONSTRAINED NONLINEAR MULTIBODY SYSTEM
THROUGH AN ADAPTIVE TIME-DISCONTINUOUS GALERKIN SCHEME
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Summary :
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THIS PAPER IS CONCERNED WITH THE TIME
INTEGRATION OF THE EQUATIONS OF MOTION OF NONLINEAR MULTIBODY SYSTEMS
DISCRETIZED USING THE FINITE ELEMENT METHOD. A TIME-DISCONTINUOUS
GALERKIN SCHEME IS USED TO OBTAIN THE RESPONSE OF THE SYSTEM. THE
LAGRANGE MULTIPLIER TECHNIQUE IS USED TO ENFORCE THE KINEMATIC
CONSTRAINTS AMONG THE BODIES. THE FORMULATION USES CARTESIAN
COORDINATES TO REPRESENT THE POSITION OF EACH BODY WITH RESPECT TO AN
INERTIAL SYSTEM. THE SCHEME IS CAST IN A PREDICTOR-MULTICORRECTOR FORM,
WHICH PROVIDES UNCONDITIONAL STABILITY, THIRD ORDER ACCURACY AND HIGH
FREQUENCY NUMERICAL DISSIPATION. AN ADAPTIVE TIME-STEPPING ALGORITHM IS
USED TO SELECT THE PROPER TIME STEP SIZE TO ACCURATELY SOLVE THE SYSTEM
OF EQUATIONS. NUMERICAL EXAMPLES ARE PRESENTED TO DEMONSTRATE THE
PERFORMANCE OF THE ALGORITHM. |
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Author :
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Damilano, J. G.
Duarte, J. A. A.
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Paper View :
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