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

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• 作者：Paulo Flores (1) pflores@dem.uminho.pt
  Remco Leine (2) remco.leine@imes.mavt.ethz.ch
  Christoph Glocker (2) christoph.glocker@imes.mavt.ethz.ch
• 关键词：Nonsmooth dynamics &#8211 ; Augmented Lagrangian approach &#8211 ; Moreau time ; stepping method &#8211 ; Contact ; impact analysis &#8211 ; Multibody systems
• 刊名：Nonlinear Dynamics
• 出版年：2012
• 出版时间：September 2012
• 年：2012
• 卷：69
• 期：4
• 页码：2117-2133
• 全文大小：1.3 MB
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• 作者单位：1. Mechanical Engineering Department, University of Minho Campus de Azur茅m, 4800-058 Guimar茫es, Portugal2. Center of Mechanics, IMES鈥擨nstitute of Mechanical Systems, Department of Mechanical and Process Engineering, ETH Zurich, 8092 Zurich, Switzerland
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

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.