Coupled vibrations of a varying length flexible cable transporter system with arbitrary axial velocity
Coupled vibrations of a varying length flexible cable transporter system with arbitrary axial velocity
复制标题
DOI：
10.23919/acc.2004.1384722
复制
发表时间：
2004
期刊：
影响因子：
--
通讯作者：
Yuhong Zhang;S. Agrawal
中科院分区：
文献类型：
--
作者：
Yuhong Zhang;S. Agrawal
利用扩展的Hamilton原理，对任意轴向速度的变长柔性缆索传输系统的耦合振动进行了建模。推导中同时考虑了横向和纵向振动。在模型中考虑了滑轮和作动器的惯性和阻尼。推导出的控制方程为今后的索系研究提供了指导。利用伽辽金方法，得到了非线性耦合偏微分方程的数值解。仿真结果表明，增大系统的阻尼可以显著降低系统的纵向振动，但对横向振动影响不大。
Modeling for coupled vibrations of a varying length flexible cable transporter system with arbitrary axial velocity is presented using the extended Hamilton's principle. Both transverse and longitudinal vibrations are considered simultaneously in the derivation. The inertia and damping of the pulleys and actuators are included in the model. The derived governing equations provide guidelines for future research on cable systems. Numerical solution of the derived nonlinear coupled partial differential equations (PDEs) is obtained using Galerkin's method. Simulation results show that increase in damping of the system can reduce the longitudinal vibration dramatically, but has little effect on the transverse vibration.