Mathematical modelling and simulation investigation of the dynamic behaviour of a compliant 2-R robot by using N-E method Via Matlab/Simulink

B. Fernini
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Abstract

This paper presents a mathematical modeling and simulation investigation on the effect of the equilibrium position on the stability and the energy provided by the robot by proposing four simulation cases. No closed solution for this critical study has been reported. An explicit elbow down model of a 2-R robot has been modelled by adding passive springs. The authors in this paper develop the dynamic of a compliant 2-R robot by using the extended Newton-Euler (N-E) method. The dynamic simulation is investigated by using Matlab/Simulink based on motion with jerk zero at the start-stop path, which guarantees less vibration to the robot’s articulations. The simulation of trajectory is realized by SolidWorks to import the results to Matlab/Simulink for the dynamical simulation. The simulation results show that the energy-saving and good robot stability can be achieved whenever the equilibrium position is close from the beginning of motion with avoiding the unstable phase of the robot during working.
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基于Matlab/Simulink的柔性2-R机器人动力学行为的N-E方法数学建模与仿真研究
本文通过四种仿真案例,对平衡位置对机器人稳定性和能量供给的影响进行了数学建模和仿真研究。没有关于这项关键研究的封闭解决方案的报道。通过添加被动弹簧,建立了2-R机器人的显式肘部向下模型。本文利用扩展的牛顿-欧拉(N-E)方法建立了柔性2-R机器人的动力学模型。采用Matlab/Simulink对机器人在启停路径上的运动进行了动态仿真研究,该运动保证了机器人关节的振动较小。利用SolidWorks实现轨迹仿真,并将仿真结果导入Matlab/Simulink中进行动态仿真。仿真结果表明,只要从运动开始就接近平衡位置,避免了机器人在工作过程中的不稳定阶段,就可以实现机器人的节能和良好的稳定性。
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