Stability of Coupled Beam-Microbeam Transmission System with Friction Damping
In this paper,the stability of beam/microbeam system with boundary coupling of transmission is studied.The system con-sists of the fourth-order beam equation and the sixth-order microbeam equation,which each contains a damping.By using semi-group method and multiplier method,we prove that the system is exponentially stable,no matter whether friction damping acts on beam equation or microbeam equation.