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NONLINEAR DYNAMICS OF A PENDULUM EXCITED BY A CRANK-SHAFT-SLIDER MECHANISM

机译:曲柄轴滑块机构激发摆锤的非线性动力学

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摘要

In this analysis, we consider the dynamics of a pendulum under vertical excitation of a crank-shaft-slider mechanism. The nonlinear model approaches that of a classical parametrically excited pendulum when the ratio of the length of the shaft to the radius of the crank is very large. Numerical techniques are employed to investigate the results for different parameters and initial conditions. Lyapunov exponents, bifurcation diagrams, time histories and phase portraits are presented to explore conditions when the pendulum performs or not full rotations. Of special interest are the resonance regions. Rotations together with oscillations and chaos were observed in some resonance zones.
机译:在该分析中,我们考虑曲柄轴滑块机构的垂直激发下摆的动力学。当轴的长度与曲柄半径的比率非常大时,非线性模型接近经典的参数激发摆锤。使用数值技术来研究不同参数和初始条件的结果。 Lyapunov指数,分叉图,时间历史和相位肖像被提出以探索摆锤的条件或不完整旋转。特殊兴趣是共振区域。在一些共振区观察到旋转与振荡和混乱一起。

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