Abstract

The authors rigorously solved the forced fundamental vibration of a one-dimensional system retarded by linear damping with an analogue computer, and found the approximation method practically true, which was formerly presented in order to solve the maximum amplitude state. Then they computed a system with two degrees of freedom at its higher resonance state, and found its behavior qualitatively the same as of a one-dimensional system. Only one solution was quantitatively computed. Besides, they presented an approximation method to solve by hand a two-dimensional system, solving rigorously an equivalent one-dimensional system and approximating the damped maximum amplitude state. The former quantitative analogue solution was compared with the one from this approximation method, and the equivalent system was tentatively adjusted, but not accomplished because of inadequate data. Though not completed, the method gave a new solution of the equivalent system, which is a limit case of clearance systems.

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