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Nonlinear dynamics of flexible beams in planar motion: Formulation and time-stepping scheme for stiff problems. (English) Zbl 0953.74028
Summary: We deal with nonlinear dynamics of multi-body systems in planar motion. The model problem addressed is the two-dimensional Reissner beam theory, featuring a simple quadratic form of the kinetic energy and a convenient spatial form of the strain measures, which simplifies the strain energy expression. Special care is to construct a time-stepping scheme adequate for multi-body systems with large difference in stiffnesses between different system components or different deformation modes, yet referred to as stiff problems. Several numerical simulations illustrate the performance of the method.

MSC:
74H15 Numerical approximation of solutions of dynamical problems in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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