Xi'an Research Inst. of Hi-Tech, Xi'an 710025, China.
Xi'an North Electro-Optic Science and Technology Defense Co., Ltd., Xi'an 710043, China.
Math Biosci Eng. 2023 Jan;20(2):3918-3943. doi: 10.3934/mbe.2023183. Epub 2022 Dec 13.
Recently, applications of high-speed, lightweight parallel robots have been gaining increasing interest. Studies have shown that their elastic that their elastic deformation during operation often affects the robot's dynamic performance. In this paper, we designed and studied a 3 DOF parallel robot with a rotatable working platform. We developed a rigid-flexible coupled dynamics model consisting of a fully flexible rod and a rigid platform by combining the Assumed Mode Method with the Augmented Lagrange Method. The driving moments under three different modes were used as feedforward in the model's numerical simulation and analysis. We conducted a comparative analysis demonstrating that the flexible rod's elastic deformation under a redundant drive is significantly smaller than that of a non-redundant one, leading to a better suppression effect on vibration. The system's dynamic performance under the redundant drive was significantly superior compared to that of the non-redundant one. Additionally, the motion accuracy was higher and the driving mode b was better than that of the driving mode c. Finally, the proposed dynamics model's correctness was verified by modeling it in Adams.
最近,高速、轻量并行机器人的应用越来越受到关注。研究表明,它们在运行过程中的弹性变形常常会影响机器人的动态性能。本文设计并研究了一种具有可旋转工作平台的 3-DOF 并联机器人。我们通过结合假设模态法和增广拉格朗日法,设计了一个由完全柔性杆和刚性平台组成的刚柔耦合动力学模型。在模型的数值模拟和分析中,使用三种不同模式下的驱动矩作为前馈。我们进行了对比分析,结果表明,冗余驱动下柔性杆的弹性变形明显小于非冗余驱动,对振动的抑制效果更好。冗余驱动下系统的动态性能明显优于非冗余驱动。此外,运动精度更高,驱动模式 b 优于驱动模式 c。最后,通过在 Adams 中对模型进行建模验证了所提出的动力学模型的正确性。