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Galerkin meshfree methods applied to the nonlinear dynamics of flexible multibody systems

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Abstract

Meshfree Galerkin methods have been developed recently for the simulation of complex mechanical problems involving large strains of structures, crack propagation, or high velocity impact dynamics. At the present time, the application of these methods to multibody dynamics has not been made despite their great advantage in some situations over standard finite element techniques.

We adopt in this paper a geometric nonlinear formulation embedded in a multibody framework. The proposed approach allows the implementation of flexible solid bodies with minor changes in a multibody code. The flexibility is formulated by a Galerkin weak form. Among all the meshfree discretization methods, radial basis shape functions have been identified has the best ones for this kind of approach. The formulation is suited for both 2D and 3D problems, including static and dynamic analysis.

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Authors and Affiliations

  1. ETSI Caminos, Canales y Puertos, Universidad Politécnica de Madrid, C/Profesor Aranguren s/n, 28042, Madrid, Spain

    Daniel Iglesias Ibáñez & Juan C. García Orden

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  1. Daniel Iglesias Ibáñez
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  2. Juan C. García Orden
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Correspondence to Daniel Iglesias Ibáñez.

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Iglesias Ibáñez, D., García Orden, J.C. Galerkin meshfree methods applied to the nonlinear dynamics of flexible multibody systems. Multibody Syst Dyn 25, 203–224 (2011). https://doi.org/10.1007/s11044-010-9224-9

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