Abstract
This paper presents a methodology in computational dynamics for the analysis of mechanical systems that undergo intermittent motion. A canonical form of the equations of motion is derived with a minimal set of coordinates. These equations are used in a procedure for balancing the momenta of the system over the period of impact, calculating the jump in the body momentum, velocity discontinuities and rebounds. The effect of dry friction is discussed and a contact law is proposed. The present formulation is extended to open and closed-loop mechanical systems where the jumps in the constraints' momenta are also solved. The application of this methodology is illustrated with the study of impact of open-loop and closed-loop examples.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 53-71 |
| Number of pages | 19 |
| Journal | Nonlinear Dynamics |
| Volume | 9 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 1996 |
| Externally published | Yes |
Keywords
- Contact
- Friction
- Impact dynamics
- Joint coordinates
- Multibody systems
ASJC Scopus subject areas
- Mechanical Engineering
- Aerospace Engineering
- Ocean Engineering
- Applied Mathematics
- Electrical and Electronic Engineering
- Control and Systems Engineering