摘要
根据质心运动定理、Galerkin法、Heaviside函数,建立非惯性系和非线性系统中倾斜刚性多支点传动轴的弯曲运动方程,并用多尺度法求得稳态弯曲主共振的一次近似定常解,分析传动轴弯曲主共振特性。在此基础上,分析支点位置和数目对弯曲主共振的影响,并以不出现弯曲主共振和主共振分岔为目标,运用Matlab对支点进行优化配置。
A bending motion equation of a tilting drive shaft with rigid multi-supports is derived by theorem of motion of mass center, method of Galerkin and Heaviside function. Approximate steady-state solutions of flexural resonance are obtained through multiple scales method. The shapes, amplitude jump, bifurcation of main resonance are analyzed. The number and position of multi-supports have a serious influence to flexural resonance of drive shaft with multi-supports. With the toolbox of Matlab,dynamics design of the best number and position of multi-supports is able to achieve the goals of having no main resonance, no amplitude jump or no bifurcation.
出处
《机械制造与自动化》
2008年第5期20-24,共5页
Machine Building & Automation
关键词
传动轴
刚性多支点
主共振
振幅突变
分岔
支点配置
drive shaft
rigid multi-supports
main resonance
amplitude jump
bifurcation
supports design
