Abstract
Abstract
In two-body problems, the problem of the two-body spring vibrator is a more typical and interesting mechanics problem. But the relative motion of the two-body spring vibrator involves elliptical integrals, so the problem is very complex and had not yet been solved analytically in the past time. In this paper, using the elliptical integral theory, we obtain the analytic solutions of the two-body spring vibrator motion law, so that we can discuss further the motion characteristics.