A method of analysis is shown of dynamical characteristics of the vibration system containing the mechanism with nonlinear transformation, of which the frequency characteristics are obtained and the linearized model expressing approximately this system is presented.
When the relation between the input and the output of mechanism is expressed as
x2=
Bx1+
a sin
Ax1, the vibration with frequency ω, which is the rotational velocity, is produced in both input and output axes. The resonance exists at the frequency which is the simple function of masses and spring. In this case, the harmonic resonances having sharp peaks also exist. When the relation is expressed as
x2=
a sin
Ax1, the vibration with frequency 2ω exists in input axis, and the resonant frequency is the same as that of linear system of the output axis. These frequency characteristics are ascertained by the simulation using digital and hybrid computers.
The vibration system containing the mechanism with nonlinear transformation can be approximately expressed by the simple linearized model, of which the frequency characteristics, show good coincidence with that of nonlinear system. It facilitates the treatment of greater system, utilizing this linearized model.
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