变张力粘弹性传动带非平面运动的非线性动力学研究

来源 :第十五届全国非线性振动暨第十二届全国非线性动力学与运动稳定性学术会议 | 被引量 : 0次 | 上传用户:alfred0612
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  本文研究了变张力粘弹性传动带非平面运动时多脉冲同宿轨道和混沌动力学。利用Hanmilton原理建立粘弹性传动带非平面运动的动力学模型,得到了系统运动的偏微分方程,应用Galerkin法对偏微分方程进行离散,化简为两自由度的常微分方程,并利用多尺度法得到主参数共振-1:1内共振情形的平均方程,两次利用规范形理论化简平均方程;首次利用能量相位法研究粘弹性传动带的多脉冲同宿轨道和混沌动力学,验证Shilnikov多脉冲轨道的存在性。
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