Combining vibrational linear-by-part dynamics and kinetic-based decoupling of the dynamics for multiple elastoplastic smooth impacts

摘要: This article proposes a linear-by-part approach for elastoplastic 3D multiple-point smooth impacts in multibody systems with perfect constraints. The model is an extension of previous version, restricted to the perfectly elastic case, able account high sensitivity initial conditions and redundancy without assuming any particular collision sequence (Barjau et al., Multibody Syst. Dyn. 31:497–517, 2014). Energy losses associated compression expansion percussive analysis matter as complex physical phenomena involved, at nanoscale level, different materials. Simplified models can be developed specific purposes, which retain most relevant trends internal damping same time suitable analytical impact mechanics. In context this article, energy dissipation due material deformation introduced through consisting on two elementary sets springs dry-friction dampers. first set accounts inelastic behavior (energy loss permanent indentation), whereas second one introduces plasticity (that is, indentation). plastic collisions, instantaneous unilateral constraints may appear, thus reducing number degrees freedom (DOF) system. calculation corresponding normal contact force constrained points then necessary order detect whether constraint holds or disappears (either because new phase starts, lost). Different simulated application examples are presented thoroughly discussed.