Abstract: Based on the work-energy principle, a concise method for analyzing the relation between the work and energy in stable forced vibration of a spring is proposed. The key points are as follows. Expressions for the works done by the driving force and by the damping force are derived firstly; the properties of the total work done by the external forces are then examined; the relation between the work and energy is analyzed finally.

Key words: spring stable forced vibration, relation between work and energy