係数励振系の振動に関する一考察 : ばね-質量系の二次元振動

概要

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As an example of the parametrically excited system, this report dealt with the 2-D vibrational spring-mass system which oscillates in the vertical plane. The authors analyzed the behavior of this system by theoretical simulations and experiments in practical system. Although this problem of the system was theoretically discussed by N.W. Mclachlan^<1)>, its experimental analysis have not been rather extensively studied. We believe it is worthwhile to experimentally investigate the vibration phenomenon which diverge with time in unstable regions. The equation of motion was derived by Lagrange's equation in nonlinear equation with the spring deflection § and the swing angle θ. In this system, although several motions may occur depending on initial conditions, we divide broadly into two categories of equations. One is Mathieu's differential equation, and the other is linear differential equation with constant coefficients. Experimental phenomenon of actual pendulum trajectory was observed by using S.V.A. (strobo vision analyzer), and compared with theoretical simulations.
湘南工科大学の論文
1993-03-31