转动Timoshenko梁的动力学建模

Dynamic Modelling of Rotating Timoshenko Beam

目前对 Timoshenko 梁的动力学及控制稳定性,人们已做了许多工作,但尚没有一个公认的合理的分布参数模型.分歧主要表现在如何刻画整体转动和弹性变形之间的相互耦合上.本文以转动规范理论为基础,完善地刻画了变形与转动的耦合,确定了转动的 Timo-shenko 梁的精确动力学方程.

At present,people have made a lot of works in dynamics and control stability of Timoshenko beam,but up to now,there is not a acknowledged and rational disper- sive parameter model.Divergence is mainly found in how to depict mutual coupling be- tween the whole rotations and elasticity deformation.On the basis of the gauge theory of rotation,authors perfectly depict the coupling between the rotation and deformation, derive and definite the exact dynamic equations for the rotating Timoshenko beam.