Vibration characteristics and control strategies are crucial for system performance and structural safety. Through the research of vibration mechanics analysis, control strategy, application and new trend, we find that Multiphysics simulation coupling vibration analysis and control algorithm based on artificial intelligence are new research directions. Vibration analysis and control still face challenges in complex system models and parameter determination. Future research should focus on addressing these issues and exploring new vibration control applications. Through continuous research and innovation, we will deepen our understanding of vibration behavior, drive technological development, and provide effective solutions. This will have a positive impact in various fields, creating a safer, more reliable, and comfortable living environment for us, and promoting the advancement of science and technology.