Frictional Impact Analysis in Open-Loop Multibody Mechanical Systems
- 1 March 1999
- journal article
- Published by ASME International in Journal of Mechanical Design
- Vol. 121 (1), 119-127
- https://doi.org/10.1115/1.2829412
Abstract
Analysis of impact problems in the presence of any tangential component of impact velocity requires a friction model capable of correct detection of the impact modes. This paper presents a formulation for the analysis of impact problems with friction in open-loop multibody mechanical systems. The formulation recognizes the correct mode of impact; i.e., sliding, sticking, and reverse sliding. Poisson’s hypothesis is used for the definition of the coefficient of restitution, and thus the energy gains inherent with the use of the Newton’s hypothesis are avoided. The formulation is developed by using a canonical form of the system equations of motion using joint coordinates and joint momenta. The canonical momentum-balance equations are solved for the change in joint momenta using Routh’s graphical method. The velocity jumps are calculated balancing the accumulated momenta of the system during the impact process. The impact cases are classified based on the pre-impact positions and velocities, and inertia properties of the impacting systems, and expressions for the normal and tangential impulse are derived for each impact case. The classical problem of impact of a falling rod with the ground (a single object impact) is solved with the developed formulation and verified. Another classical problem of a double pendulum striking the ground (a multibody system impact) is also presented. The results obtained for the double pendulum problem confirms that the energy gain in impact analysis can be avoided by considering the correct mode of impact and using the Poisson’s instead of the Newton’s hypothesis.Keywords
This publication has 11 references indexed in Scilit:
- Impact dynamics of multibody systems with frictional contact using joint coordinates and canonical equations of motionNonlinear Dynamics, 1996
- Multi-Body Impact Motion with Friction—Analysis, Simulation, and Experimental ValidationJournal of Mechanical Design, 1993
- Two-Dimensional Rigid-Body Collisions With FrictionJournal of Applied Mechanics, 1992
- Multi-Body Impact Motion With Friction: Analysis, Simulation, and Experimental ValidationPublished by ASME International ,1990
- Rigid Body CollisionsJournal of Applied Mechanics, 1989
- Application of the Canonical Equations of Motion in Problems of Constrained Multibody Systems With Intermittent MotionPublished by ASME International ,1988
- Dynamics of mechanical systems with Coulomb friction, stiction, impact and constraint addition-deletion—I theoryMechanism and Machine Theory, 1986
- Impact With FrictionJournal of Applied Mechanics, 1986
- Dynamics of Systems of Rigid BodiesPublished by Springer Science and Business Media LLC ,1977
- Coefficient of Restitution Interpreted as Damping in VibroimpactJournal of Applied Mechanics, 1975