CONTROL METHOD FOR NONILEAR VIBRATION OF ON-ROAD TRAVELING TRACTOR BASED ON CHAOS THEORY

拖拉机在道路上行驶时，在一定条件下会产生剧烈的跳动现象，这种剧烈的振动可能会导致致命的事故。本文对拖拉机的弹跳现象进行了理论研究。建立了拖拉机弹跳现象的数学模型，将其描述为受迫非线性振子。频率响应分析进行识别所开发的模型的非线性。通过数值实验观察到了周期、倍周期准周期和混沌振动。研究结果表明，所建立的模型能够描述拖拉机作业过程中可能导致重大事故的意外剧烈振动，作者的理论研究已经表明，弹跳拖拉机是一个潜在的混沌系统。进行的数值实验预测的非线性振动，如周期，倍周期，准周期和混沌振动。本文对弹跳拖拉机的动力学特性进行了实验研究，验证了前人的研究结果。此外，实验还揭示了弹跳拖拉机动力学系统的分岔结构，观察到了非线性共振现象。

Violent bouncing phenomena arise when a tractor runs on a road under certain conditions and such a violent vibration may lead to fatal accidents. In this report, the bouncing phenomena of tractors were investigated theoretically. A mathematical model was developed to describe tractor bouncing phenomena as a forced nonlinear oscillator. Frequency response analysis was conducted to identify the nonlinearity of developed model. Periodic, period-doubling quasi-periodic and chaotic vibrations were observed by numerical experiments. The results suggested that the developed model can describe unexpected violent vibrations that may cause fatal accidents in a tractor's operations.Bouncing tractors have been shown to be a potentially chaotic system by the author's previous theoretical study. The conducted numerical experiments predicted nonlinear vibrations such as periodic, period-doubling, quasi-periodic and chaotic vibrations. In this paper, the dynamics of a bouncing tractor were investigated experimentally and the results predicted in the previous study were validated. In addition, a bifurcation structure of the dynamical system of the bouncing tractor were clarified experimentally, and nonlinear resonance was observed in this experiment.