Based on the genernal definition of quality-factor of virbration system,the paper proved the quality-factor of feeble damped virbration system.

Smulation analysis of MATLAB/Simulink-based damped and forced vibration system is introduced,in which visible pictures are formed on the basis of Simulink simulation model through the software s powerful simulation function.

It is pointed out that the existence of residual sound of a piano is mainly determined by damp vibration of the string.

At the same time, it discusses the effect of vibration damping coefficient on resonance, and concludes that wire rope rod is easier to form overstroke during production, furthermore,it explains why the pumping efficiency of wire rope rod pumping system is higher and also gives explanation to some questions and puzzles that exist in current research and application of.