张君, 张乾一, 郭治富, 郝亚明. 矿用锚杆钻机机械臂动力学不确定性分析[J]. 煤炭学报, 2019, 44(S1): 345-354. DOI: 10.13225/j.cnki.jccs.2019.1001
引用本文: 张君, 张乾一, 郭治富, 郝亚明. 矿用锚杆钻机机械臂动力学不确定性分析[J]. 煤炭学报, 2019, 44(S1): 345-354. DOI: 10.13225/j.cnki.jccs.2019.1001
ZHANG Jun, ZHANG Qianyi, GUO Zhifu, HAO Yaming. Dynamics uncertainty analysis of mine bolter manipulator[J]. Journal of China Coal Society, 2019, 44(S1): 345-354. DOI: 10.13225/j.cnki.jccs.2019.1001
Citation: ZHANG Jun, ZHANG Qianyi, GUO Zhifu, HAO Yaming. Dynamics uncertainty analysis of mine bolter manipulator[J]. Journal of China Coal Society, 2019, 44(S1): 345-354. DOI: 10.13225/j.cnki.jccs.2019.1001

矿用锚杆钻机机械臂动力学不确定性分析

Dynamics uncertainty analysis of mine bolter manipulator

  • 摘要: 矿用锚护钻机是现代化矿井巷道支护过程中高效、安全的自动化设备,其中锚护机械臂是完成支护作业的关键部件。因加工装配误差、材料缺陷、使用磨损、井下工作环境恶劣和操作人员工作强度大等因素,将导致矿用锚杆钻机-机械臂的动力学系统的不确定性问题更为突出。以锚护机械臂为研究对象,基于拉格朗日理论推导出了锚护机械臂的动力学模型。将区间数学理论引入到锚护机械臂的动力学系统的不确定性分析中, 提出了基于区间数学的机械臂的动力学系统不确定性分析方法,主要构造了区间扫描法和张量积法2种代理模型来分析讨论机械臂各个关节上的力矩与关节角度、关节角速度之间的关系。由于机械臂的杆件2和杆件4在实际操作中离钻架重心距离远、受力大、结构易变等原因,重点研究了杆件2和杆件4的力矩存在不确定参数时,相应输出的角度、角速度的响应区间和效率变化。结果表明,扫描法的时间消耗为张量积法的0.173 4~0.288 8倍,同时计算结果与理论值更接近,精度较高,误差较小,更加适用于工程实际中。试验研究了力矩存在不确定性参数时的机械臂的动力学系统动态响应,并与理论结果进行对比分析,两者得到的系统动态响应规律基本一致,验证了该区间算法的可实施性和准确性。含区间不确定性参数的动力学特性研究为后续锚护机械臂的控制做进一步的铺垫,也成为预测和判断机械臂定位精度的新方法,进一步保障机械臂对顶板和侧帮的支护效果。

     

    Abstract: Mine bolter is an efficient and safe automation equipment in the process of modern mine roadway support, in which the manipulator is the key component to complete the support operation.The uncertainties of the dynamic system of the manipulator will be more prominent due to the factors such as processing and assembly errors, material defects, wear and tear, bad working environment in the underground and high working intensity of the operators.In this paper, the dynamics model of the manipulator is deduced based on Lagrange theory.The interval mathematics theory is introduced into the uncertainty analysis of the dynamic system of the manipulator, and the uncertainty analysis method of the dynamic system of the manipulator based on the interval mathematics is put forward.Two kinds of surrogate models, interval scanning method and tensor product method, are constructed to analyze and describe the relationship between the moment on each joint of the manipulator and the joint angle and joint angular velocity.Because the rod 2 and rod 4 of the manipulator are far from the center of gravity of the drilling rig in practical operation, the force is large and the structure is variable, the response range and efficiency of the corresponding output angle and angular velocity are studied when the moment of rod 2 and rod 4 has uncertain parameters.The results show that the time consumption of the scanning method is 0.173 4-0.288 8 times of that of the tensor product method.At the same time, the calculation results are closer to the theoretical values, with higher accuracy and smaller error, and it is more suitable for engineering practice.Finally, the dynamic response of the manipulator with uncertain parameters is studied experimentally and compared with the theoretical results.The dynamic response laws of the two systems are basically the same, which verifies the practicability and accuracy of the algorithm in this area.The study of dynamic characteristics with interval uncertainties paves the way for the control of subsequent manipulators.It also becomes a new method for predicting and judging the positioning accuracy of manipulators, and further guarantees the support effect of the manipulators on roof and sidewall.

     

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