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An energy-consistent integration scheme for flexible multibody systems with dissipation

机译:具有耗散的柔性多体系统的能量一致集成方案

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This work is concerned with the numerical solution of the equations of the dynamics of flexible multibody systems with dissipative physical mechanisms. Specifically, we consider systems composed of rigid and deformable bodies made of a viscoelastic continuum, that may experience large displacements and strains, connected by joints. Within this framework, we present a novel integration scheme for these types of systems that intrinsically satisfies the laws of thermodynamics and existing symmetries. The resulting solutions are physically accurate since they preserve the fundamental physical properties of the model. Furthermore, the method gives excellent performance with respect to robustness and stability. Justification of these claims as well as numerical examples that illustrate the performance of the scheme are provided.
机译:这项工作涉及具有耗散物理机制的柔性多体系统动力学方程的数值解。具体来说,我们考虑由由粘弹性连续体制成的刚性和可变形体组成的系统,这些系统可能会经历大的位移和应变,并通过关节连接。在此框架内,我们针对这些类型的系统提出了一种新颖的集成方案,该方案本质上满足了热力学定律和现有对称性。所得解决方案在物理上是准确的,因为它们保留了模型的基本物理属性。此外,该方法在鲁棒性和稳定性方面具有优异的性能。提供了这些权利要求的理由以及说明该方案的性能的数值示例。

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