CN113665841B - Method for testing steering wheel operation of aircraft cockpit based on cooperative robot - Google Patents

Method for testing steering wheel operation of aircraft cockpit based on cooperative robot Download PDF

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CN113665841B
CN113665841B CN202110851882.2A CN202110851882A CN113665841B CN 113665841 B CN113665841 B CN 113665841B CN 202110851882 A CN202110851882 A CN 202110851882A CN 113665841 B CN113665841 B CN 113665841B
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steering wheel
robot
collaborative robot
torque
cockpit
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CN113665841A (en
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杨锋
范军华
刘贡平
穆志国
王萍
方强
魏燕定
胡逸波
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Zhejiang University ZJU
AVIC Xian Aircraft Industry Group Co Ltd
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AVIC Xian Aircraft Industry Group Co Ltd
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B64AIRCRAFT; AVIATION; COSMONAUTICS
    • B64FGROUND OR AIRCRAFT-CARRIER-DECK INSTALLATIONS SPECIALLY ADAPTED FOR USE IN CONNECTION WITH AIRCRAFT; DESIGNING, MANUFACTURING, ASSEMBLING, CLEANING, MAINTAINING OR REPAIRING AIRCRAFT, NOT OTHERWISE PROVIDED FOR; HANDLING, TRANSPORTING, TESTING OR INSPECTING AIRCRAFT COMPONENTS, NOT OTHERWISE PROVIDED FOR
    • B64F5/00Designing, manufacturing, assembling, cleaning, maintaining or repairing aircraft, not otherwise provided for; Handling, transporting, testing or inspecting aircraft components, not otherwise provided for
    • B64F5/60Testing or inspecting aircraft components or systems
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02PCLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
    • Y02P90/00Enabling technologies with a potential contribution to greenhouse gas [GHG] emissions mitigation
    • Y02P90/02Total factory control, e.g. smart factories, flexible manufacturing systems [FMS] or integrated manufacturing systems [IMS]

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  • Manufacturing & Machinery (AREA)
  • Transportation (AREA)
  • Aviation & Aerospace Engineering (AREA)
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Abstract

本发明公开了基于协作机器人的飞机驾驶舱方向盘操纵测试方法,利用协作机器人代替人进入驾驶室进行操作,并使用机器人自身传感器测得其操纵曲线的方法。测试装置包括协作机器人、二指抓手、垫高平台、飞机驾驶舱,二指抓手安装在协作机器人末端,垫高平台固连在飞机主驾驶舱的驾驶员座位处,协作机器人固连在垫高平台上,调整其工作空间对于驾驶舱内的各项操作的可达性;机器人在操作人员的指令下,通过自动化测试软件完成协作机器人舱内坐标系的标定、协作机器人的编程运动、方向盘操纵力和位移数据的采集,最终完成外部机器人操纵曲线的绘制,通过曲线的换算关系、阻抗模式系数的选取及与内部传感器曲线图对比,得到方向盘的安装偏差。

The invention discloses an aircraft cockpit steering wheel manipulation test method based on a collaborative robot. The collaborative robot is used to replace a human to enter the cockpit for operation, and the robot's own sensor is used to measure the manipulation curve. The test device includes a collaborative robot, a two-finger gripper, a raised platform, and an aircraft cockpit. The two-fingered gripper is installed at the end of the collaborative robot. On the elevated platform, adjust the accessibility of its workspace to various operations in the cockpit; under the instructions of the operator, the robot completes the calibration of the coordinate system in the collaborative robot cabin, the programming movement of the collaborative robot, The steering wheel manipulation force and displacement data are collected, and finally the drawing of the external robot manipulation curve is completed. Through the conversion relationship of the curve, the selection of the impedance mode coefficient and the comparison with the internal sensor curve, the installation deviation of the steering wheel is obtained.

Description

基于协作机器人的飞机驾驶舱方向盘操纵测试方法Test method of aircraft cockpit steering wheel manipulation based on collaborative robot

技术领域technical field

本发明属于协作机器人应用领域,具体涉及一种利用机器人完成飞机驾驶室操作,并通过机器人内部的力矩传感器和角度传感器实现飞机驾驶舱方向盘操纵测试的方法。The invention belongs to the application field of collaborative robots, and in particular relates to a method for using a robot to complete the operation of an aircraft cockpit and to realize the steering wheel manipulation test of the aircraft cockpit through a torque sensor and an angle sensor inside the robot.

背景技术Background technique

飞机总装测试阶段需要对飞机驾驶操纵部件(如方向盘、驾驶柱和脚蹬等)进行位移和力特性测试,测试方法是内部数据通过飞控地面维护设备读取机载飞控计算机上测得的飞机驾驶操纵部件上的位移与力传感器数据,外部操纵的数据理论上也应通过外部的带位移与力传感器的测量装置测量获取数据,然后比对其是否在允差范围内。但目前国内的测试现状是测试人员通过经验感知,或用弹簧秤和规尺等工具进行极限位置值检测,也尝试开发过外部测量装置,因使用不便没有推广应用。The aircraft assembly test stage needs to test the displacement and force characteristics of the aircraft driving and control components (such as steering wheel, steering column and pedals, etc.). The displacement and force sensor data on the aircraft driving and control parts, and the external manipulation data should theoretically also be measured and obtained by an external measuring device with displacement and force sensors, and then compared to see if it is within the tolerance range. However, the current domestic testing situation is that testers use experience perception, or use tools such as spring scales and rulers to detect limit position values. They have also tried to develop external measuring devices, but they have not been popularized and applied due to inconvenient use.

随着机器人技术的进步和制造模式的变革,近年来协作机器人越来越受到世界各国的重视。根据ISO 10218-2中的定义,协作机器人是指能够在指定的协作区域内与人进行直接交互的机器人。目前,典型的协作机器人有KUKA iiwa、ABB Yumi、Sawyer、Baxter、Franka等。与传统的工业机器人相比,协作机器人具有安全性高、通用性好、灵敏、精准、易于使用和便于人机协作等优点。上述优点使得协作机器人不仅在制造领域中得到应用,而且在家庭服务和康复医疗等领域也具有潜在的应用价值。With the advancement of robot technology and the transformation of manufacturing models, collaborative robots have attracted more and more attention from all over the world in recent years. According to the definition in ISO 10218-2, a collaborative robot refers to a robot that can directly interact with humans in a designated collaborative area. At present, typical collaborative robots include KUKA iiwa, ABB Yumi, Sawyer, Baxter, Franka, etc. Compared with traditional industrial robots, collaborative robots have the advantages of high safety, good versatility, sensitivity, precision, ease of use, and human-machine collaboration. The above advantages make collaborative robots not only applied in the manufacturing field, but also have potential application value in the fields of home service and rehabilitation medicine.

协作机器人由于各关节上安装有力矩传感器,能够感知外界情况,因此可以基于关节力矩的测量值进行反馈控制,可以实时探测与外界的接触受力,从而做到危险情况急停。协作机器人的使用,其高精度能够保证测试的可靠性,实现对于不同飞机测试的一致性。7关节冗余可以根据飞机舱内的实际障碍物,调整自身姿态,从而完成狭小空间路径规划。Since the collaborative robot is equipped with torque sensors on each joint, it can sense the external situation, so it can perform feedback control based on the measured value of the joint torque, and can detect the contact force with the outside world in real time, so as to achieve emergency stop in dangerous situations. The use of collaborative robots, its high precision can ensure the reliability of the test and achieve the consistency of different aircraft tests. The 7-joint redundancy can adjust its own attitude according to the actual obstacles in the aircraft cabin, so as to complete the path planning in a narrow space.

因此,本发明利用协作机器人代替测试人员进行飞机驾驶操纵,以驾驶方向盘为例,利用机器人本身的位移与力传感器生成驾驶操纵部件的外部位移与力操纵曲线的方法。Therefore, the present invention uses collaborative robots instead of testers to carry out aircraft driving and manipulation. Taking the steering wheel as an example, the displacement and force sensors of the robot itself are used to generate the external displacement and force manipulation curves of the driving and manipulation components.

发明内容Contents of the invention

本发明的目的是为了解决飞机总装测试过程中,人工从外部获得飞机驾驶操纵位移/力曲线难的问题,提出了一种利用协作机器人代替人进入驾驶室进行操作,并使用机器人自身传感器测得其操纵曲线的方法。The purpose of the present invention is to solve the problem that it is difficult to manually obtain the displacement/force curve of the aircraft driving control from the outside during the aircraft assembly test process. Its method of manipulating the curve.

本发明采用如下的技术方案,基于协作机器人的飞机驾驶舱方向盘操纵测试方法,包括协作机器人、二指抓手、垫高平台、飞机驾驶舱,二指抓手安装在协作机器人末端,垫高平台固连在飞机主驾驶舱的驾驶员座位处,总装阶段不安装座位,利用驾驶舱地板上安装座位的孔位固定垫高平台,协作机器人底座固连在垫高平台上,调整其工作空间对于驾驶舱内的各项操作的可达性。The present invention adopts the following technical scheme, the aircraft cockpit steering wheel manipulation test method based on the collaborative robot, including the collaborative robot, the two-finger gripper, the raised platform, the aircraft cockpit, the two-fingered gripper is installed at the end of the collaborative robot, and the raised platform It is fixedly connected to the pilot's seat in the main cockpit of the aircraft. The seat is not installed in the final assembly stage. The seat is installed on the floor of the cockpit to fix the raised platform. The base of the collaborative robot is fixed on the raised platform. Adjust its working space for Accessibility of various operations in the cockpit.

进一步,所述的协作机器人为7轴机器人,阻抗模式可以在末端产生一个虚拟弹簧,用以解决机器人转动方向盘的刚性轨迹出现憋死问题。Further, the collaborative robot is a 7-axis robot, and the impedance mode can generate a virtual spring at the end to solve the problem of suffocation on the rigid trajectory of the robot turning the steering wheel.

进一步,所述的协作机器人7个轴上都安装有力矩传感器,可以检测出各轴的力矩,并通过雅可比矩阵计算出末端的受力。Further, torque sensors are installed on the seven axes of the collaborative robot, which can detect the torque of each axis, and calculate the force at the end through the Jacobian matrix.

进一步,为了不损伤飞机驾驶舱的地面,垫高平台的安装孔应配合座椅安装孔来设计。Further, in order not to damage the ground of the aircraft cockpit, the mounting holes of the raised platform should be designed to match the seat mounting holes.

进一步,为了保证抓手夹持方向盘的稳定性,将抓手的夹指设计成包裹方向盘延长杆的弧形结构。Further, in order to ensure the stability of the gripper holding the steering wheel, the fingers of the gripper are designed to wrap around the steering wheel extension bar in an arc-shaped structure.

本发明提供了上述飞机自动化测试的协作机器人测试装置的标定方法,其步骤依次为:舱内坐标系的标定;协作机器人的编程运动;方向盘操纵曲线的换算关系;阻抗模式系数的选取及外部机器人、内部传感器曲线图对比。The present invention provides a method for calibrating the collaborative robot test device for the above-mentioned aircraft automation test, the steps of which are as follows: calibration of the coordinate system in the cabin; programming motion of the collaborative robot; conversion relationship of the steering wheel manipulation curve; selection of impedance mode coefficients and external robot , Internal sensor curve comparison.

所述的舱内坐标系的标定,是指以机器人的底座中心为原点,飞机前进方向为x轴,机翼方向为y轴,竖直方向为z轴建立基座标系,然后以方向盘旋转中心建立局部坐标系。标定的具体方式是在机舱的横梁上安装1台工业3D相机,通过拍摄驾驶舱内环境得到其3D点云,从而实现空间距离的测量。The calibration of the coordinate system in the cabin refers to taking the center of the base of the robot as the origin, the forward direction of the aircraft as the x-axis, the direction of the wing as the y-axis, and the vertical direction as the z-axis to establish a base coordinate system, and then rotate with the steering wheel The center establishes the local coordinate system. The specific method of calibration is to install an industrial 3D camera on the beam of the cabin, and obtain its 3D point cloud by shooting the environment in the cockpit, so as to realize the measurement of the spatial distance.

所述的协作机器人编程运动是指:通过之前建立的基座标系、局部坐标系,以及设置的操作方向盘的位置坐标,就可以通过PTP(Point-To-Point)运动到达指定点,考虑到避免碰撞以及机器人与方向盘工装的精确对接,在接近目标点处采用柔顺控制,通过预先设置的阻抗系数实现柔顺对接。The collaborative robot programming motion refers to: through the previously established base coordinate system, local coordinate system, and the set position coordinates of the steering wheel, the designated point can be reached through PTP (Point-To-Point) motion, taking into account Avoid collisions and precise docking between the robot and the steering wheel tooling, adopt compliant control near the target point, and achieve compliant docking through the preset impedance coefficient.

所述的方向盘操纵曲线的换算关系是指:对于方向盘旋转角度测量首先需要通过各轴转角算出末端的实时笛卡尔位置,然后对于圆心求反三角函数得到方向盘转角;对于方向盘的扭矩,需要结合机器人末端姿态算出当前雅可比矩阵,然后根据各轴扭矩算出末端的受力,最后根据实际位置处的力矩大小和末端受力算出方向盘的扭矩。The conversion relationship of the steering wheel steering curve refers to: for the measurement of the steering wheel rotation angle, it is first necessary to calculate the real-time Cartesian position of the end through the rotation angle of each axis, and then obtain the steering wheel angle by inverting the trigonometric function for the center of the circle; for the torque of the steering wheel, it is necessary to combine the robot The terminal attitude calculates the current Jacobian matrix, then calculates the force of the terminal according to the torque of each axis, and finally calculates the torque of the steering wheel according to the torque at the actual position and the force of the terminal.

所述的阻抗模式系数的选取是指:对于编程运动的轨迹和方向盘既定圆弧轨迹的对比,算出阻抗模式带来的精度误差和对机构造成损伤的径向力,将精度误差和径向力合成为一个评价指标,通过指标最小求解出最合适的阻抗模式劲度系数k。The selection of the impedance mode coefficient refers to: for the trajectory of the programming movement and the comparison of the predetermined arc trajectory of the steering wheel, the precision error brought by the impedance mode and the radial force causing damage to the mechanism are calculated, and the precision error and the radial force are calculated. It is synthesized into an evaluation index, and the most suitable impedance mode stiffness coefficient k is obtained by solving the index minimum.

所述的外部机器人、内部传感器曲线图对比是指:通过读取飞机内部传感器测出的方向盘操纵曲线和机器人测出的方向盘扭矩与转角的比值,在matlab里分别作出两者的曲线图,观察两者的区别从而对方向盘进行调整。The comparison of the external robot and internal sensor curves refers to: by reading the steering wheel steering curve measured by the aircraft internal sensor and the ratio of the steering wheel torque and the rotation angle measured by the robot, the curves of the two are respectively made in matlab, and observed The difference between the two is to adjust the steering wheel.

本发明具有的有益效果:The beneficial effect that the present invention has:

1)相对于传统的需要耗费大量人力的人工测试方法,本发明采用机器人进入驾驶舱模拟驾驶,大大提高了测试效率。目前已经实现了飞机数字化制造、数字化装配,而在结构件和成品安装完成后,整机系统的测试还停留在分立式、人工测试为主的状态,本发明提供的协作机器人测试方法,不仅能获取系统闭环数据,提高测试效率和准确性,还能增加测试覆盖,精准化数据分析、测试结论。1) Compared with the traditional manual testing method that consumes a lot of manpower, the present invention uses a robot to enter the cockpit to simulate driving, which greatly improves the testing efficiency. At present, aircraft digital manufacturing and digital assembly have been realized, but after the installation of structural parts and finished products, the test of the whole machine system still stays in the state of discrete and manual testing. The collaborative robot testing method provided by the present invention not only It can obtain system closed-loop data, improve test efficiency and accuracy, increase test coverage, and accurately analyze data and test conclusions.

2)本发明提高了测试的客观性与可重复性。通过机器人编程,可以保证每次的操作力与位移基本不变,相对人工操作,其可重复性更好。机器人转动方向盘实验做出的操纵曲线与内部传感器的曲线对比说明了这一点。2) The present invention improves the objectivity and repeatability of the test. Through robot programming, it can ensure that the operating force and displacement are basically unchanged each time. Compared with manual operation, its repeatability is better. This is illustrated by the comparison of the steering curves produced by the robot turning the steering wheel experiments with the curves of the internal sensors.

附图说明Description of drawings

图1:本发明的应用环境飞机模拟驾驶舱结构图。Fig. 1: The structural diagram of the aircraft simulation cockpit of the application environment of the present invention.

图2:本发明的采用的机器人辅助操作系统。Figure 2: Robot-assisted operating system employed by the present invention.

图3:本发明采用的夹指设计。Figure 3: Finger grip design used in the present invention.

图4:本发明通过编程实现节拍运动。Figure 4: The invention is programmed to achieve rhythmic motion.

图5:本发明的方向盘操作过程分析。Fig. 5: Analysis of the steering wheel operation process of the present invention.

图6:本发明的阻抗模式受力分析。Figure 6: Impedance mode force analysis of the present invention.

图7:本发明采用的机器人辅助检测流程图。Fig. 7: Flowchart of robot-assisted detection adopted by the present invention.

图8:本发明通过内部传感器测出的操纵曲线。Fig. 8: The steering curve measured by the internal sensor of the present invention.

图9:本发明通过机器人测出的空载操纵曲线。Fig. 9: the no-load maneuvering curve measured by the robot in the present invention.

图10:本发明通过机器人测出的负载操纵曲线。Fig. 10: The load manipulation curve measured by the robot in the present invention.

图11:本发明通过机器人测出的纯方向盘操纵曲线。Fig. 11: The pure steering wheel manipulation curve measured by the robot in the present invention.

图12:本发明内部传感器与机器人获得的操纵曲线对比。Figure 12: Comparison of the manipulation curves obtained by the internal sensor of the present invention and the robot.

图13:本发明的编程曲线与实际位移曲线对比。Figure 13: Comparison of the programming curve and the actual displacement curve of the present invention.

图中编号说明:1-主方向盘;2-主驾驶柱;3-主脚蹬;4-中央大屏幕;5-按钮;51-旋钮;52-拨钮;53-船型开关;6-副方向盘;7-副驾驶柱;8-副脚蹬;9-KUKA机器人;10-抓手;11-垫高平台。Description of numbers in the figure: 1-main steering wheel; 2-main steering column; 3-main pedals; 4-central large screen; 5-button; 51-knob; 52-dial button; ; 7-copilot column; 8-pair of pedals; 9-KUKA robot; 10-handle; 11-raised platform.

具体实施方式Detailed ways

下面通过说明书附图和具体实施方式对本发明做进一步详述,以下实施例只是描述性的并非是限定性的,不能以此来限定本发明的保护范围。The present invention will be described in further detail below through the accompanying drawings and specific embodiments. The following examples are only descriptive and not restrictive, and cannot be used to limit the protection scope of the present invention.

如图1,2所示的基于飞机自动化测试的协作机器人测试装置,主驾驶和副驾驶的结构基本相似,主方向盘1、主驾驶柱2、主脚蹬3位于左侧,副方向盘6、副驾驶柱7、副脚蹬8位于右侧,中央大屏幕4上显示飞机当前状态信息,按钮区5包括旋钮51、拨钮52、船型开关53等多种按钮。抓手10安装在KUKA机器人9末端,通过螺钉连接,垫高平台11固连在飞机主驾驶舱的某处,KUKA机器人9固连在垫高平台11上,调整其工作空间对于驾驶舱内的各项操作的可达性。As shown in Figures 1 and 2, the collaborative robot test device based on aircraft automation testing, the structure of the main pilot and the co-pilot is basically similar, the main steering wheel 1, the main steering column 2, the main pedal 3 are located on the left side, the auxiliary steering wheel 6, the auxiliary Steering column 7, auxiliary pedal 8 are positioned at the right side, and the current status information of the aircraft is displayed on the central large screen 4, and the button area 5 includes various buttons such as knob 51, toggle button 52, ship type switch 53, and the like. The gripper 10 is installed at the end of the KUKA robot 9 and connected by screws. The raised platform 11 is fixed to a certain place in the main cockpit of the aircraft, and the KUKA robot 9 is fixed to the raised platform 11. Accessibility of each operation.

本实施例中测试对象是某型飞机驾驶舱内的主方向盘内部传感器标定,如图2所示,本实施例内部传感器标定方法的步骤如下:舱内坐标系的标定;协作机器人的编程运动;方向盘操纵曲线的换算关系;阻抗模式系数的选取及外部机器人、内部传感器曲线图对比。In this embodiment, the test object is the internal sensor calibration of the main steering wheel in the cockpit of a certain type of aircraft. As shown in Figure 2, the steps of the internal sensor calibration method in this embodiment are as follows: calibration of the coordinate system in the cabin; programming motion of the collaborative robot; The conversion relationship of the steering wheel steering curve; the selection of impedance mode coefficients and the comparison of external robot and internal sensor curves.

1.舱内坐标系的标定1. Calibration of the coordinate system in the cabin

在驾驶舱后方的横梁上安装一台工业相机,测量出相机坐标系中,各部件的绝对坐标。然后测出相机坐标系与机器人基座标系的转换关系,从而得出基坐标系中的各部件的坐标,该基座标系以KUKA机器人9的底座中心为原点,飞机前进方向为x轴,机翼方向为y轴,竖直方向为z轴建立基座标系,其中:方向盘转动中心位于基座标系的(880,169,795)位置,方向盘夹持点位于基座标系的(880,-90,885)位置。Install an industrial camera on the beam behind the cockpit to measure the absolute coordinates of each component in the camera coordinate system. Then measure the conversion relationship between the camera coordinate system and the robot base coordinate system, so as to obtain the coordinates of each component in the base coordinate system. The base coordinate system takes the center of the base of the KUKA robot 9 as the origin, and the forward direction of the aircraft is the x-axis , the wing direction is the y-axis, and the vertical direction is the z-axis to establish the base frame, where: the steering wheel rotation center is located at the (880, 169, 795) position of the base frame, and the steering wheel clamping point is located at the base frame (880, -90, 885) position.

2.协作机器人的编程运动2. Programmed movement of collaborative robots

为了避免KUKA机器人9定位误差导致抓手和方向盘发生碰撞以及运动中憋死,使用笛卡尔阻抗控制器进行编程,使用setStiffness(...)函数设置xyz轴的阻抗值,在阻抗控制下,KUKA机器人9的行为是顺从的,不会因为运动误差导致方向盘憋死。在运动中,注意到工作的节拍性(如图4),将KUKA机器人9从初始位置PTP运动到方向盘附近、LIN运动到方向盘、夹爪闭合、圆弧转动、夹爪打开、LIN移出和PTP移至起始点编入motion batch运动组。In order to avoid the collision between the gripper and the steering wheel and suffocation during motion caused by the positioning error of the KUKA robot 9, a Cartesian impedance controller is used for programming, and the setStiffness(...) function is used to set the impedance value of the xyz axis. Under impedance control, KUKA The behavior of robot 9 is obedient, and the steering wheel will not be suffocated due to motion errors. During the movement, pay attention to the rhythmic nature of the work (as shown in Figure 4), move the KUKA robot 9 from the initial position PTP to the vicinity of the steering wheel, LIN to the steering wheel, the jaws to close, the arc to rotate, the jaws to open, LIN to move out and PTP Move to the starting point and program it into motion batch.

KUKA机器人9全程工作在人机协作模式下,KUKA机器人9在7个关节处都设置了力矩传感器,用来实时检测各关节的受力,在KUKA机器人9碰撞到驾驶舱内物体或者有人进入驾驶舱时,都能够停止运动,保护KUKA机器人9和人的安全。通过读取各关节的力矩值,并指定一个灵敏系数,如果每个关节的力矩都在正常力矩减灵敏系数到正常力矩加灵敏系数之间,那么KUKA机器人9正常运行,只要有一个力矩超出限定范围,KUKA机器人9就会停止。实验中可以对外部影响,如障碍物或过程力作出反应。在抓手夹指的设计上,也结合方向盘工装找到了一种稳固的连接,经过多次测试,KUKA机器人9末端抓手均能够抓住驾驶杆盘。在操作方面,方向盘的运动轨迹是圆弧型,根据圆心坐标和半径使用CIRC函数进行编程。KUKA robot 9 works in the human-machine cooperation mode throughout the whole process. KUKA robot 9 is equipped with torque sensors at 7 joints to detect the force of each joint in real time. When KUKA robot 9 collides with objects in the cockpit or someone enters the driving When in the cabin, it can stop the movement to protect the safety of KUKA robot 9 and people. By reading the torque value of each joint and specifying a sensitivity coefficient, if the torque of each joint is between the normal torque minus the sensitivity coefficient and the normal torque plus the sensitivity coefficient, then the KUKA robot 9 operates normally, as long as one torque exceeds the limit range, the KUKA robot 9 will stop. Experiments can react to external influences such as obstacles or process forces. In the design of the gripper finger, a stable connection has been found in combination with the steering wheel tooling. After many tests, the gripper at the end of the KUKA robot 9 can grasp the steering wheel. In terms of operation, the trajectory of the steering wheel is arc-shaped, and the CIRC function is used to program according to the coordinates of the center of the circle and the radius.

3.方向盘操纵曲线的换算关系3. Conversion relationship of steering wheel control curve

协作机器人在每个轴安装有位移传感器和力矩传感器,可以通过编程获得某时刻KUKA机器人9各轴的角度、力矩,KUKA机器人9控制器内也编有矩阵转化关系,可以算出末端法兰盘处的受力和笛卡尔位置。由于KUKA机器人9末端法兰上装有夹爪,因此需要算出KUKA机器人9与方向盘的实际作用点(夹爪)处的受力和位移,以供后续的方向盘力矩和转动角度计算。已知KUKA机器人9的D-H参数表如表1。The collaborative robot is equipped with a displacement sensor and a torque sensor on each axis, and the angle and torque of each axis of the KUKA robot 9 can be obtained by programming at a certain time. The controller of the KUKA robot 9 is also programmed with a matrix conversion relationship, which can calculate the position of the end flange. Forces and Cartesian positions of . Since the end flange of the KUKA robot 9 is equipped with grippers, it is necessary to calculate the force and displacement at the actual point of action (jaws) between the KUKA robot 9 and the steering wheel for subsequent steering wheel torque and rotation angle calculations. The known D-H parameter table of KUKA robot 9 is shown in Table 1.

表1 KUKA机器人DH参数表Table 1 KUKA robot DH parameter list

KUKA机器人9夹爪作用点距离末端法兰的距离为156mm,因此计算作用点处的位移和受力时,可以将DH模型中的152改为308。首先需要从控制器中导出转动方向盘过程中,各时刻KUKA机器人9的7个轴的转角和各轴力矩。此处采用TCP/IP协议进行传输数据:在外部接收PC上编写了一个服务端,先于KUKA机器人9程序运行,等待客户端的连接。在KUKA机器人9程序中编写入一个客户端,该客户端在KUKA机器人9转动动作开始前与服务段建立连接,然后每隔100ms发送一次数据,直至转动操作结束,断开连接。The distance between the action point of the KUKA robot 9 jaws and the end flange is 156mm, so when calculating the displacement and force at the action point, you can change 152 in the DH model to 308. First, it is necessary to derive from the controller the rotation angles and torques of the 7 axes of the KUKA robot 9 at each moment during the process of turning the steering wheel. Here, the TCP/IP protocol is used to transmit data: a server is written on the external receiving PC, which runs before the KUKA robot 9 program and waits for the connection of the client. Write a client in the KUKA robot 9 program, the client establishes a connection with the service segment before the KUKA robot 9 turns, and then sends data every 100ms until the turning operation ends and the connection is disconnected.

PC处对于接收到的一连串数据,需要根据特征符号比如“[]”对字符串进行截取,然后将有效信息传入matlab中进行计算与曲线绘制。For a series of data received at the PC, the string needs to be intercepted according to the characteristic symbols such as “[]”, and then the valid information is transferred to matlab for calculation and curve drawing.

对于方向盘转角的计算,是KUKA机器人9的正向求解问题。根据DH模型可以求出各两相邻关节之间的坐标变换关系:For the calculation of the steering wheel angle, it is the forward solution problem of KUKA robot 9. According to the DH model, the coordinate transformation relationship between each two adjacent joints can be obtained:

其中是一个包含7个关节角度变量的4*4矩阵,将7个角度值带入即可得到末端的笛卡尔坐标(Px,Py,Pz)。in It is a 4*4 matrix containing 7 joint angle variables, and the Cartesian coordinates (Px, Py, Pz) of the end can be obtained by bringing in the 7 angle values.

已知方向盘旋转中心的坐标是(x0,y0,z0),因此可以根据反正切公式算出此时的方向盘旋转角度:The coordinates of the steering wheel rotation center are known to be (x 0 , y 0 , z 0 ), so the steering wheel rotation angle at this time can be calculated according to the arc tangent formula:

对于夹爪处的受力转化为方向盘的旋转力矩计算示意图如图5,首先根据各轴转矩算出末端受力,然后根据分析可知,只有Fy和Fz对方向盘的转矩起到作用,Fx因为与方向盘转动轴方向重合,所以没有作用。三个轴方向的转矩与方向盘旋转中心的反力矩抵消,因此也不用计入,具体计算过程如下,首先在matlab中根据KUKA机器人9各轴的角度可以算出此时的雅可比矩阵J0,然后可以根据各轴的力矩算出末端的受力:The schematic diagram for calculating the torque of the steering wheel from the force at the jaws to the rotational torque of the steering wheel is shown in Figure 5. First, the force at the end is calculated according to the torque of each axis, and then according to the analysis, only Fy and Fz have an effect on the torque of the steering wheel, and Fx is because It coincides with the direction of the steering wheel rotation axis, so it has no effect. The torque in the three axis directions and the reaction torque of the steering wheel rotation center are offset, so it does not need to be included. The specific calculation process is as follows. First, the Jacobian matrix J 0 at this time can be calculated in matlab according to the angles of each axis of the KUKA robot 9. Then the force at the end can be calculated according to the moment of each axis:

对于算出的末端力,方向盘的实际扭矩可以用下式计算:For the calculated end force, the actual torque of the steering wheel can be calculated using the following formula:

M=-Fy×(z0-z)+FZ×(y0-y) (6)M=-F y ×(z 0 -z)+F Z ×(y 0 -y) (6)

由此可以计算出通过KUKA机器人9测量出来的方向盘力矩与转角的关系。Thereby, the relationship between the steering wheel torque measured by the KUKA robot 9 and the rotation angle can be calculated.

4.阻抗模式系数的选取4. Selection of impedance mode coefficients

确定使用阻抗控制模式后,需要各个方向刚度系数的选取。如果刚度系数太大,KUKA机器人9与方向盘轨迹都为刚性,会导致方向盘憋死;如果刚度系数过小,KUKA机器人9的编程位置和实际位置距离变大,导致运动精度很差,缺乏精确控制方向盘转动角度的能力。阻抗模式受力分析如图6所示,采用阻抗控制的目标是在不损失精度的前提下,尽量减小刚度系数,使得内部恢复力减小,从而减少对机构的损伤。After determining to use the impedance control mode, it is necessary to select the stiffness coefficients in each direction. If the stiffness coefficient is too large, the trajectory of KUKA robot 9 and the steering wheel will be rigid, which will cause the steering wheel to suffocate; if the stiffness coefficient is too small, the distance between the programmed position and the actual position of KUKA robot 9 will become larger, resulting in poor motion accuracy and lack of precise control The ability to turn the steering wheel angle. The force analysis of impedance mode is shown in Figure 6. The goal of using impedance control is to reduce the stiffness coefficient as much as possible without losing accuracy, so that the internal restoring force is reduced, thereby reducing damage to the mechanism.

如图6所示,实线轨迹为编程的既定轨迹,虚线轨迹为方向盘的理论轨迹。夹取点旋转半径为r,带轮半径为R。在夹爪夹到方向盘后,虚线的方向盘既定轨迹即确定,所以两圆弧在起始点重合。后续的曲线由于圆心位置和半径测量的不精确,出现了分离。As shown in Figure 6, the trajectory of the solid line is the established trajectory of programming, and the trajectory of the dotted line is the theoretical trajectory of the steering wheel. The radius of rotation of the gripping point is r, and the radius of the pulley is R. After the gripper clamps the steering wheel, the predetermined track of the dotted line of the steering wheel is determined, so the two arcs coincide at the starting point. Subsequent curves are separated due to the inaccurate measurement of the center position and radius.

下面对上夹爪进行受力分析。由于KUKA机器人9运动过程中姿态不断变化,因此采用各向同性的刚度系数kz。在方向盘既定圆弧轨迹的限制下,源程序的P1点最终只能到达P2点。该误差可以分为半径方向和切线方向,其中半径方向的误差由表面摩擦和限位机构造成,会对机构产生损伤,径向力记为Fr;切线方向的误差会造成运动精度的下降,切向误差记为Δx。The force analysis of the upper jaw is carried out below. Since the posture of the KUKA robot 9 changes continuously during the motion, an isotropic stiffness coefficient kz is used. Under the limitation of the predetermined arc trajectory of the steering wheel, the P1 point of the source program can only reach the P2 point in the end. The error can be divided into radial direction and tangential direction. The error in the radial direction is caused by surface friction and the limit mechanism, which will cause damage to the mechanism. The radial force is recorded as F r ; The tangential error is recorded as Δx.

对于方向盘圆心的位置测量误差为直径1mm的圆,对于回转半径的测量误差为±1mm,因此两圆弧的径向误差最大为2mm,即:The position measurement error of the center of the steering wheel is a circle with a diameter of 1mm, and the measurement error of the radius of gyration is ±1mm, so the maximum radial error of the two arcs is 2mm, namely:

Fr=2kz (7)F r =2k z (7)

在垂直于方向盘延长杆方向受到的压力与内部加载有关,因此:The pressure experienced in the direction perpendicular to the steering wheel extension is related to the internal loading, so:

目标是减小径向力Fr,并减小切向误差Δx,因此即求综合指标W=Fr+Δx的最小值,从而求得最合适的阻抗刚度kz。The goal is to reduce the radial force F r and reduce the tangential error Δx, so the minimum value of the comprehensive index W=F r +Δx is obtained, so as to obtain the most suitable impedance kz.

因此,不能像刚性机器人一样,直接将编程曲线直接作为输出位移曲线,而需要通过读取KUKA机器人9的7个关节的角度值实时计算出末端位移输出曲线。图9,10是空载(没夹住方向盘)与负载(夹住方向盘)时测得的末端位移输出曲线,由于编程轨迹和方向盘既定轨迹都是圆,因此用圆方程进行拟合,得到拟合负载曲线为:(y-186.19)2+(z-767.72)2=292.672,拟合空载曲线为(y-187.42)2+(z-748.22)2=300.162。编程时由于圆心、半径的测量误差造成圆心在y方向有1.23mm的误差,在z方向有19.5mm的误差,半径误差为7.49mm,由于通过阻抗控制模式解决了该偏差,使得KUKA机器人9能够顺从方向盘的既定轨迹完成了方向盘的回转运动,同时也表明KUKA机器人9末端输出位移曲线必须实时重新采集计算,不能从编程理论曲线直接获取。Therefore, the programming curve cannot be directly used as the output displacement curve like a rigid robot, but the terminal displacement output curve needs to be calculated in real time by reading the angle values of the 7 joints of the KUKA robot 9. Figures 9 and 10 are the terminal displacement output curves measured under no load (the steering wheel is not clamped) and load (the steering wheel is clamped). Since the programmed trajectory and the predetermined trajectory of the steering wheel are both circles, the circle equation is used for fitting, and the simulated The fitted load curve is: (y-186.19) 2 +(z-767.72) 2 =292.67 2 , and the fitted no-load curve is (y-187.42) 2 +(z-748.22) 2 =300.16 2 . During programming, due to the measurement error of the center and radius, the center of the circle has an error of 1.23mm in the y direction, an error of 19.5mm in the z direction, and a radius error of 7.49mm. Since the deviation is solved by the impedance control mode, the KUKA robot 9 can Following the established trajectory of the steering wheel to complete the turning motion of the steering wheel, it also shows that the output displacement curve of the end of the KUKA robot 9 must be re-acquired and calculated in real time, and cannot be directly obtained from the programming theoretical curve.

5.外部机器人、内部传感器曲线图对比5. Comparison of external robot and internal sensor curves

将KUKA机器人9放到预置位置进行操作,操作过程如图13所示,KUKA机器人9运行平稳并且能够转动到极限位置。图8是通过倍福测出来的方向盘操纵曲线。可以看出,操纵曲线以20.5°作为分界,两侧的线性很好。第一段的斜率近似为第二段的2倍。Put the KUKA robot 9 into the preset position for operation, the operation process is shown in Figure 13, the KUKA robot 9 runs smoothly and can rotate to the limit position. Figure 8 is the steering wheel steering curve measured by Beckhoff. It can be seen that the control curve takes 20.5° as the boundary, and the linearity on both sides is very good. The slope of the first segment is approximately twice that of the second segment.

对于KUKA机器人9测得的操纵曲线,由于末端抓手的自重也会引起各轴力矩的变化,且力矩值随着末端的位置变化而变化,因此分别测出KUKA机器人9操作方向盘与KUKA机器人9空载的操纵曲线,两者相减就是方向盘的操纵曲线。图9是KUKA机器人9空载曲线运动折算到方向盘上的操纵曲线,图10是KUKA机器人9操纵方向盘得到的操纵曲线,图11是差量法算出的方向盘实际曲线。把倍福和KUKA机器人9测出的操纵曲线进行对比,得到图12。For the manipulation curve measured by KUKA robot 9, since the self-weight of the end gripper will also cause the change of the torque of each axis, and the torque value changes with the position of the end, so the KUKA robot 9 operating steering wheel and KUKA robot 9 are respectively measured. The no-load control curve, the subtraction of the two is the steering wheel control curve. Fig. 9 is the manipulation curve converted from the no-load curve motion of the KUKA robot 9 to the steering wheel, Fig. 10 is the manipulation curve obtained by the KUKA robot 9 manipulating the steering wheel, and Fig. 11 is the actual curve of the steering wheel calculated by the difference method. Comparing the manipulation curves measured by Beckhoff and KUKA robot 9, Figure 12 is obtained.

理论操纵曲线是两段斜率不等的直线,第一段的斜率是第二段的2倍,两段的分界点即为一侧弹簧脱离的时刻。从结果可知,倍福和KUKA机器人9测出的曲线都是两段斜率不同的直线。其中倍福测出来的曲线线性度好,且第一段斜率近似为第二段的2倍,误差来源为方向盘机构固有阻力。KUKA机器人9测出的曲线,两段直线的斜率差距偏小,主要是由于绳索上端的橡胶带轮有一定的伸缩,从而削弱了两段直线的差距。KUKA机器人9测出的操纵曲线在初始角度就有一定的转矩,这主要是由于方向盘等机构也有一定的初始转矩,可以在全段减去该值进行处理,而倍福测出的是弹簧实际的负载和线位移,因此为过原点的直线。另外倍福的转动角度测量值比KUKA机器人9测出的大了0.67°,这是因为绳索不紧且可伸缩,初始阶段KUKA机器人9的转动角度转化为绳索的张紧。通过调整KUKA机器人9曲线的截距,使得KUKA机器人9测出的力矩与倍福测出的系统力矩全程相对误差小于1.75%,在可接受范围内,测试结果的对比见表2。The theoretical control curve is two straight lines with unequal slopes. The slope of the first segment is twice that of the second segment. The dividing point between the two segments is the moment when one side of the spring is disengaged. It can be seen from the results that the curves measured by Beckhoff and KUKA robot 9 are two straight lines with different slopes. Among them, the curve measured by Beckhoff has good linearity, and the slope of the first section is approximately twice that of the second section. The source of the error is the inherent resistance of the steering wheel mechanism. In the curve measured by KUKA robot 9, the slope difference between the two straight lines is relatively small, mainly because the rubber pulley at the upper end of the rope has a certain degree of expansion and contraction, thus weakening the gap between the two straight lines. The steering curve measured by the KUKA robot 9 has a certain torque at the initial angle. This is mainly because the steering wheel and other mechanisms also have a certain initial torque, which can be processed by subtracting this value in the entire section, while the Beckhoff measured is The actual load and linear displacement of the spring, therefore a straight line through the origin. In addition, the measured value of the rotation angle of Beckhoff is 0.67° larger than that measured by the KUKA robot 9. This is because the rope is not tight and stretchable, and the rotation angle of the KUKA robot 9 in the initial stage is converted into the tension of the rope. By adjusting the intercept of the KUKA robot 9 curve, the relative error between the torque measured by the KUKA robot 9 and the system torque measured by Beckhoff is less than 1.75%, which is within the acceptable range. The comparison of the test results is shown in Table 2.

表2 测试结果对比Table 2 Comparison of test results

Claims (3)

1.基于协作机器人的飞机驾驶舱方向盘操纵测试方法,其特征在于使用协作机器人、二指抓手、垫高平台在飞机驾驶舱内进行方向盘操纵曲线测试,二指抓手安装在协作机器人末端,垫高平台固连在飞机主驾驶舱的驾驶员座位处,总装阶段不安装座位,利用驾驶舱地板上安装座位的孔位固定垫高平台,所述的协作机器人固连在垫高平台上,并留有协作机器人能完成驾驶舱内各项测试操作的空间,所述的协作机器人为7轴机器人,阻抗模式在末端产生一个虚拟弹簧,为了避免协作机器人定位误差导致抓手和方向盘发生碰撞以及运动中憋死,使用笛卡尔阻抗控制器进行编程,使用setStiffness(...)函数设置xyz轴的阻抗值,在阻抗控制下,协作机器人的行为是顺从的,不会因为运动误差导致方向盘憋死;协作机器人全程工作在人机协作模式下,协作机器人在7个关节处都设置了力矩传感器,用来实时检测各关节的受力;在协作机器人碰撞到驾驶舱内物体或者有人进入驾驶舱时,都能够停止运动,保护协作机器人和人的安全,通过读取各关节的力矩值,并指定一个灵敏系数,如果每个关节的力矩都在正常力矩减灵敏系数到正常力矩加灵敏系数之间,那么协作机器人正常运行,只要有一个力矩超出限定范围,协作机器人就会停止。1. The aircraft cockpit steering wheel manipulation test method based on the collaborative robot is characterized in that the steering wheel manipulation curve test is carried out in the aircraft cockpit using a collaborative robot, a two-finger gripper, and a raised platform, and the two-finger gripper is installed at the end of the collaborative robot. The raised platform is fixedly connected to the driver's seat in the main cockpit of the aircraft. The seat is not installed in the final assembly stage, and the raised platform is fixed by using the hole where the seat is installed on the cockpit floor. The collaborative robot is fixed on the raised platform. And there is a space for the collaborative robot to complete various test operations in the cockpit. The collaborative robot is a 7-axis robot, and the impedance mode generates a virtual spring at the end. In order to avoid the collision between the gripper and the steering wheel caused by the positioning error of the collaborative robot and To suffocate in motion, use the Cartesian impedance controller for programming, and use the setStiffness(...) function to set the impedance value of the xyz axis. Under impedance control, the behavior of the collaborative robot is obedient, and the steering wheel will not be suffocated due to motion errors Death; the collaborative robot works in the human-machine cooperation mode throughout the whole process, and the collaborative robot is equipped with torque sensors at 7 joints to detect the force of each joint in real time; when the collaborative robot collides with objects in the cockpit or someone enters the cockpit It can stop the movement to protect the safety of the collaborative robot and humans. By reading the torque value of each joint and specifying a sensitivity coefficient, if the torque of each joint is between the normal torque minus the sensitivity coefficient and the normal torque plus the sensitivity coefficient , then the collaborative robot operates normally, as long as a torque exceeds the limited range, the collaborative robot will stop. 2.根据权利要求1所述的基于协作机器人的飞机驾驶舱方向盘操纵测试方法,其特征在于所述的二指抓手的夹指为包裹方向盘延长杆的弧形结构。2. The aircraft cockpit steering wheel manipulation test method based on collaborative robot according to claim 1, characterized in that the pincers of the two-finger gripper are arc-shaped structures wrapping the steering wheel extension rod. 3.根据权利要求1所述的基于协作机器人的飞机驾驶舱方向盘操纵测试方法,其特征在于其步骤依次为:3. the aircraft cockpit steering wheel manipulation test method based on collaborative robot according to claim 1, is characterized in that its steps are successively: 3-1舱内坐标系的标定:是指以协作机器人的底座中心为原点,飞机前进方向为x轴,机翼方向为y轴,竖直方向为z轴建立基座标系,然后以方向盘旋转中心建立局部坐标系,标定的具体方式是在机舱的横梁上安装1台工业3D相机,通过拍摄驾驶舱内环境得到其3D点云,从而实现空间距离的测量;3-1 Calibration of the coordinate system in the cabin: it refers to the center of the base of the collaborative robot as the origin, the forward direction of the aircraft as the x-axis, the direction of the wings as the y-axis, and the vertical direction as the z-axis to establish a base coordinate system, and then use the steering wheel The center of rotation establishes a local coordinate system, and the specific method of calibration is to install an industrial 3D camera on the beam of the cabin, and obtain its 3D point cloud by shooting the environment in the cockpit, so as to realize the measurement of the spatial distance; 3-2协作机器人的编程运动:通过之前建立的基座标系、局部坐标系,以及设置的操作方向盘的位置坐标,通过Point-To-Point运动到达指定点,在接近目标点处采用柔顺控制,通过预先设置的阻抗系数实现柔顺对接;3-2 The programming movement of the collaborative robot: through the previously established base coordinate system, local coordinate system, and the set position coordinates of the operating steering wheel, the Point-To-Point movement reaches the designated point, and the soft control is adopted when approaching the target point , through the preset impedance coefficient to achieve flexible docking; 3-3方向盘操纵曲线的换算关系:对于方向盘旋转角度测量首先需要通过各轴转角算出末端的实时笛卡尔位置,然后对于圆心求反三角函数得到方向盘转角;对于方向盘的扭矩,先结合机器人末端姿态算出当前雅可比矩阵,然后根据各轴扭矩算出末端的受力,最后根据实际位置处的力矩大小和末端受力算出方向盘的扭矩;3-3 The conversion relationship of the steering wheel manipulation curve: For the measurement of the steering wheel rotation angle, it is first necessary to calculate the real-time Cartesian position of the end through the rotation angle of each axis, and then obtain the steering wheel angle by inverting the trigonometric function for the center of the circle; for the torque of the steering wheel, first combine the end posture of the robot Calculate the current Jacobian matrix, then calculate the force at the end according to the torque of each axis, and finally calculate the torque of the steering wheel according to the torque at the actual position and the force at the end; 3-4阻抗模式系数的选取:对于编程运动的轨迹和方向盘既定圆弧轨迹进行对比,算出阻抗模式带来的精度误差和对机构造成损伤的径向力,将精度误差和径向力合成为一个评价指标,通过指标最小求解出最合适的阻抗模式劲度系数k;3-4 Selection of impedance mode coefficients: Comparing the trajectory of the programmed motion with the established arc trajectory of the steering wheel, calculate the precision error brought by the impedance mode and the radial force that causes damage to the mechanism, and combine the precision error and radial force into An evaluation index, the most suitable impedance mode stiffness coefficient k is obtained by solving the index minimum; 3-5外部协作机器人、内部传感器曲线图对比:通过读取飞机内部传感器测出的方向盘操纵曲线和协作机器人测出的方向盘扭矩与转角的比值,在matlab里分别作出两者的曲线图,观察两者的区别从而对方向盘进行调整。3-5 Comparison of external collaborative robot and internal sensor curves: By reading the ratio of the steering wheel steering curve measured by the internal sensor of the aircraft and the steering wheel torque to the rotation angle measured by the collaborative robot, draw the curves of the two in matlab and observe The difference between the two is to adjust the steering wheel.
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