Application of the nonsmooth dynamics approach to model and analysis of the contact-impact events in cam-follower systems

By Paulo Flores, Remco I. Leine, Christoph Glocker. 2012

81 citations recorded by the source corpus.

The dynamic modeling and analysis of planar rigid multibody systems that experience contact-impact events is presented and discussed throughout this work. The methodology is based on the nonsmooth dynamics approach, in which the interaction of the colliding bodies is modeled with multiple frictional unilateral constraints. Rigid multibody systems are stated as an equality of measures, which are formulated at the velocity-impulse level. The equations of motion are complemented with constitutive laws for the forces and impulses in the normal and tangential directions. In this work, the unilateral constraints are described by a set-valued force law of the type of Signorini’s condition, while the frictional contacts are characterized by a set-valued force law of the type of Coulomb’s law for dry friction. The resulting contact-impact problem is formulated and solved as an augmented Lagrangian approach, which is embedded in the Moreau time-stepping method. The effectiveness of the methodologies presented in this work is demonstrated throughout the dynamic simulation of a cam-follower system of an industrial cutting file machine.

Subfields: Control and Systems Engineering, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/6d840ba117ba630c7c70d4ba1c1359f3f9ce707d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Hamid M. Lankarani
2. Paulo Flores
3. Qiang Tian
4. M. Silva
5. N. Peixinho
6. J. Alves
7. Cheng Liu
8. C. S. Koshy

In Mechanical Engineering

1. Hamid M. Lankarani
2. Qiang Tian
3. M. Silva
4. Paulo Flores
5. J. Kihiu
6. O. Muvengei
7. Bernard W. Ikua

Citations in the corpus

• A comparative study of the viscoelastic constitutive models for frictionless contact interfaces in solids (2015, background): “The subject of contact mechanics and its applications has received a great deal of attention over the last few decades, and still remains an active field of research and development [14-20].”
• A comprehensive survey of the analytical, numerical and experimental methodologies for dynamics of multibody mechanical systems with clearance or imperfect joints (2018, methodology): “Using a similar way, they also simulated a cam-follower mechanism of a cutting file machine [305].”