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考虑弹性变形的重载码垛机器人频率响应分析

Frequency response analysis of heavy-load palletizing robot considering elastic deformation.

作者信息

Yu Hanwen, Sun Qun, Wang Chong, Zhao Yongjun

机构信息

School of Mechanical and Automotive Engineering, Liaocheng University, Liaocheng, China.

School of Control Science and Engineering, Shandong University, Jinan, China.

出版信息

Sci Prog. 2020 Jan-Mar;103(1):36850419893856. doi: 10.1177/0036850419893856. Epub 2019 Dec 12.

Abstract

For the palletizing robot's operating characteristics of high speed, high acceleration, and heavy load, it is necessary to make a research on the structure optimization focusing on the vibration characteristics according to the mechanical and dynamic performance analysis. This article first introduces the mechanical feature and working principle of high-speed and heavy-load robot palletizer. Kinematics analysis is carried out by using D-H parameter method, which obtains positive kinematics solution and workspace. Jacobian matrix is deduced, and the relationship between joint space and Cartesian space is established. Second, for the reason that joint flexibility has a great influence on the vibration performance of the robot, a rigid-flexible coupling dynamic model is established based on the simplified model of the flexible reducer and Lagrange's second equation to describe the joint flexibility of high-speed and heavy-load palletizing robot, and the vibration modes of the robot are analyzed. The influence of different joint stiffness on the frequency response of the system reveals the inherent properties of the heavy-load palletizing robot, which provides a theoretical basis for the optimal design and control of the heavy-load palletizing robot.

摘要

针对码垛机器人高速、高加速度、重载的运行特点,有必要根据机械和动力学性能分析,围绕振动特性开展结构优化研究。本文首先介绍了高速重载机器人码垛机的机械特性和工作原理。采用D-H参数法进行运动学分析,得到正运动学解和工作空间。推导了雅可比矩阵,建立了关节空间与笛卡尔空间的关系。其次,由于关节柔性对机器人振动性能影响较大,基于柔性减速器简化模型和拉格朗日第二方程建立了刚柔耦合动力学模型,以描述高速重载码垛机器人的关节柔性,并对机器人的振动模态进行了分析。不同关节刚度对系统频率响应的影响揭示了重载码垛机器人的固有特性,为重载码垛机器人的优化设计和控制提供了理论依据。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b28c/10452789/de3003707b61/10.1177_0036850419893856-fig1.jpg

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