本文中所探討的軸向移動樑的模態有Timosheko及Euler樑兩種狀態,並經由漢彌頓原理推導得到系統的統御方程式及樑尖端質量與作用於樑左側且平行於樑之運動方向的外力p對系統所造成的影響,同時本文於推導統御方程式時也考慮速度及加速度的效應在內。從統御方程式中可得知科氏力的存在以及剛體運動和撓性振動的耦合。
Axially moving beam are modelled as Timoshenko beam model and Euler beam model. The equations of motion for the deployment of a flexible beam system with tip mass are derived through Hamilton's principle. The external force acts at the left side of the flexible beam and parallel to its direction of motion. The velocity and acceleration of the deployment motion are also considered in the formulations. It is found that the Coriolis forces exist in the equations and the rigid-body motion and flexible vibration are coupled.