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二端面转轴相对转动非线性动力学系统的主共振与次共振解
Principal Resonance and Secondary Resonance Solution of Nonlinear Dynamic System of of a Cylinder with Two Ends Faces in Relative Rotation
【摘要】 本文研究在简谐激励力作用下二端面弹性转轴相对转动的主共振、超谐波共振和亚谐波共振.用平均法研究了系统的主共振,得到了系统的渐进稳态周期解,采用多尺度法求得了系统的3次超谐波共振解和1/3次亚谐波共振解.
【Abstract】 The principal,ultraharmonic and subharmonic resonance of an elastic rotation shat with twin sides by a harmonic force is discussed,in this paper.Asymptotically stable periodic solution on principal resonance of the system is obtained,by applying average method.3 ultraharmonic resonance and 1/3 subharmonic resonance solution of the system is obtained,by multiscale method.
【关键词】 非线性动力学方程;
主共振解;
次共振解;
稳定性;
【Key words】 nonlinear dynamics equation principal resonance solution secondary resonance solution stadiness;
【Key words】 nonlinear dynamics equation principal resonance solution secondary resonance solution stadiness;
【基金】 国家自然科学基金资助项目(40374048)
- 【文献出处】 数学理论与应用 ,Mathematical Theory and Applications , 编辑部邮箱 ,2007年01期
- 【分类号】O175
- 【下载频次】69