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考虑科氏力影响的旋转Timoshenko梁的变结构控制分析
The Variable Structure Control of the Rotating Timoshenko Beam With the Consideration of the Coriolis Force
【摘要】 文章基于Hamilton变分原理,采用Timoshenko梁理论,给出了考虑科氏力影响的中心刚体-柔性梁系统的动力学方程,并应用弹性波与振动模态理论,确定了受科氏力影响的Timoshenko梁的振动模态。同时,结合变结构控制器设计原理,对比分析了考虑科氏力与不考虑科氏力时对旋转Timoshenko梁振动的影响。
【Abstract】 By the Hamilton principle and Timoshenko beam theory,the dynamic equation of the flexible hub-beam system with the consideration of the Coriolis force is derived.Using the elastic wave propagation theory,the mode shapes of Timoshenko beam with the considera-tion of the Coriolis force are presented.At the same time,combined with variable structure control principle,the article compares with the results of with and without Coriolis force’s influence to the vibration of the rotating Timoshenko beam.
【关键词】 科氏力;
转动Timoshenko梁;
中心刚体-柔性梁系统;
独立模态控制;
变结构控制;
【Key words】 Coriolis force; Rotating Timoshenko beam; Flexible hub-beam system; Independent modal space control; Variable structure control;
【Key words】 Coriolis force; Rotating Timoshenko beam; Flexible hub-beam system; Independent modal space control; Variable structure control;
【基金】 国家自然科学基金项目(10572045);黑龙江省杰出青年基金项目(JC.9)
- 【文献出处】 西部交通科技 ,Western China Communications Science & Technology , 编辑部邮箱 ,2010年04期
- 【分类号】V414.1
- 【被引频次】3
- 【下载频次】166