The Linear Approximated Equation (LAE) of the rotational vibration of a pair of spur gear, which was introduced in the 1st report, has a big advantage that the analytical solution of the equation can be obtained simply. In this report, the solution of vibration of the LAE, is then derived by analytical method, and by using this result, the effects to the vibration by the tooth profile error, rotational speed, static load, and contact ratio of the pair of gear, are also analyzed. It is found that the effect to vibration by the contact ratio is following a certain regulation. The authors applied this analytical solution to estimate the vibration of gears, the result agreed well with the result calculated numerically by the exact nonlinear equation of the vibration.
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