This paper discusses the vibration of a mass-spring-damper system with two constraints and impact interactions. Impacting chatter and stuck phenomena for the mass with constraints are investigated and the corresponding conditions for such phenomena are determined. Analytical predictions are presented for the system to give a precise and complete demonstration of the phenomena in the system. Finally, an analytical parameter map is given to show how the system changes with parameters. From these conditions, numerical simulations are performed to demonstrate these phenomena in the system.

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