Li Changqi, Song Henan, Li Ruirui, Wu Jianwei, Shan Xiaobiao, Tan Jiubin
The Key Lab of Ultra-Precision Intelligent Instrumentation Engineering (Harbin Institute of Technology), Ministry of Industry and Information Technology, Harbin 150001, China.
State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin 150001, China.
Micromachines (Basel). 2025 Jan 23;16(2):131. doi: 10.3390/mi16020131.
The positioning accuracy of the end effector is the core index that affects the robot's performance. However, to achieve lightweight and functional requirements, the construction of end effectors is becoming more complex. Lightweight design through slotting is becoming more common. This leads to the fact that the traditional mathematical model cannot accurately characterize the vibration of the end effector. This study proposed the multi-stepwise beam model. It employed the separation of variables and element transmitting method to obtain the mathematical model of the modal shape functions and the natural frequencies. Meanwhile, the vibration response of the end effector under fixed-end excitation was analyzed, and the conclusions were made through experimental research. The direct inverse controller was presented to achieve vibration suppression. The experimental results indicate that the amplitude suppression rate reaches 50%. The system's equations of motion were solved numerically to analyze the exact relationships for the response and excitation of the beam considered.
末端执行器的定位精度是影响机器人性能的核心指标。然而,为了满足轻量化和功能需求,末端执行器的结构变得越来越复杂。通过开槽实现轻量化设计越来越普遍。这导致传统数学模型无法准确表征末端执行器的振动。本研究提出了多步梁模型。采用变量分离和单元传递法得到模态形状函数和固有频率的数学模型。同时,分析了末端执行器在固定端激励下的振动响应,并通过实验研究得出结论。提出了直接逆控制器以实现振动抑制。实验结果表明,振幅抑制率达到50%。通过数值求解系统运动方程来分析所考虑梁的响应与激励之间的精确关系。