A time-stepping method for multibody systems with frictional impacts based on a return map and boundary layer theory

• Published in: International journal of non-linear mechanics Vol. 131; p. 103683
• Main Authors: Natsiavas, S., Passas, P., Paraskevopoulos, E.
• Format: Journal Article
• Language: English
• Published: New York Elsevier Ltd 01.05.2021; Elsevier BV
• Subjects: Augmented Lagrangian; Boundary layers; Configurations; Coordinate transformations; Equations of motion; Geometric cubic splines; Impact and friction; Mathematical analysis; Multibody dynamics; Multibody systems; Numerical integration; Return map; Stiffness; Multibody dynamics; Return map; Geometric cubic splines; Impact and friction; Augmented Lagrangian

This work presents a new numerical integration method for determining dynamics of a class of multibody systems involving impact and friction. Specifically, these systems are subject to a set of equality constraints and can exhibit single frictional impact events. Such events are associated to signif...