Abstract
Two new methods for calculating vibration problems—the dynamic stiffness method and the mobility method—have been introduced in recent years. Each of these methods offers certain advantages over the older vibration theory. This article is an at tempt to unify these two methods so that the best features of each are included in one theory. By means of this theory it is possible to determine the resonance and antiresonance frequencies and the relative amplitudes of vibration of a mechanical system. The effect of the position of torque application on the vibration characteristics of a system are discussed. The application of the theory is demonstrated by a few examples including the problem of the pendulum damper.
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