CN108582071B - A method of industrial robot programming trajectory diagnosis and speed optimization - Google Patents
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Abstract
本发明属于工业机器人领域,并公开了一种工业机器人编程轨迹诊断及速度优化的方法,包括以下步骤:(1)获取工业机器人运动轨迹的原始编程代码,并建立工业机器人模型,获取工业机器人的属性参数;(2)对运动轨迹进行离散,形成等弧长的线段并获得一系列的离散点;(3)求逆获取各个离散点的关节坐标;(4)计算出离散点处的关节速度、加速度和力矩;(5)诊断出不能达到编程速度的区域并进行速度优化;(6)输出速度优化后的编程代码,该编程代码与原始编程代码比较,增加了编程点位,优化了编程速度。本发明能实现编程轨迹的速度优化,得到满足机器人动力学的编程代码。使在实际上机运行时,缩短机器人运行时间,运行更加平稳。
The invention belongs to the field of industrial robots, and discloses a method for programming trajectory diagnosis and speed optimization of an industrial robot, comprising the following steps: (1) obtaining the original programming code of the motion trajectory of the industrial robot, establishing an industrial robot model, Attribute parameters; (2) Discrete the motion trajectory to form a line segment of equal arc length and obtain a series of discrete points; (3) Invert to obtain the joint coordinates of each discrete point; (4) Calculate the joint velocity at the discrete point , acceleration and torque; (5) Diagnose the area that cannot reach the programmed speed and optimize the speed; (6) Output the programming code after the speed optimization, the programming code is compared with the original programming code, the programming points are added, and the programming is optimized. speed. The invention can realize the speed optimization of the programming trajectory, and obtain the programming code satisfying the robot dynamics. When the actual machine is running, the running time of the robot is shortened and the operation is more stable.
Description
技术领域technical field
本发明属于工业机器人领域,更具体地,涉及一种工业机器人编程轨迹诊断及速度优化的方法。The invention belongs to the field of industrial robots, and more particularly, relates to a method for programming trajectory diagnosis and speed optimization of an industrial robot.
背景技术Background technique
工业机器人的编程有示教编程和离线编程两种方式。示教编程是操作员手持示教器,手动控制机器人末端到达指定的姿态和位置,记录机器人位姿数据并编写机器人编程指令。离线编程是在CAD\CAM软件上,构建虚拟的3D工作场景,然后软件可以根据要加工零件的大小、形状、材料,同时配合软件操作者的一些操作,自动生成机器人的编程代码。There are two ways to program industrial robots: teaching programming and offline programming. Teaching programming is that the operator holds the teaching pendant, manually controls the end of the robot to reach the specified posture and position, records the robot posture data and writes the robot programming instructions. Offline programming is to build a virtual 3D working scene on CAD\CAM software, and then the software can automatically generate the programming code of the robot according to the size, shape and material of the part to be processed, and at the same time cooperate with some operations of the software operator.
不管是哪种编程方式,在编程时,很多时候只会考虑工业机器人关节限位,得到这条编程轨迹能不能运行,对于工业机器人关节的其他限制(速度、加速度和力矩)没有考虑。机器人是一个复杂、高度耦合的非线性机构,其关节速度和末端速度只存在瞬时关系。在实际运行时,机器人在有些时候达不到编程速度,由于一个或多个关节达到了其属性限制。No matter which programming method is used, when programming, only the joint limit of the industrial robot is considered in many cases, and whether the programmed trajectory can be run or not is not considered for other limitations (speed, acceleration and torque) of the industrial robot joint. The robot is a complex, highly coupled nonlinear mechanism, and its joint velocities and terminal velocities only have an instantaneous relationship. In actual operation, the robot sometimes does not reach the programmed speed due to one or more joints reaching their property limits.
发明内容SUMMARY OF THE INVENTION
针对现有技术的以上缺陷或改进需求,本发明提供了一种工业机器人编程轨迹诊断及速度优化的方法,通过等弧长的离散编程点,计算出各个点处的关节速度、加速度和力矩,与实际关节限制比较;通过增加编程点和改变编程速度的方式进行速度优化,以生成满足机器人运动学的编程代码。Aiming at the above defects or improvement requirements of the prior art, the present invention provides a method for diagnosing and optimizing the speed of industrial robot programming trajectory. Through discrete programming points of equal arc length, the joint speed, acceleration and torque at each point are calculated, Compare with actual joint limits; speed optimization by increasing programming points and changing programming speed to generate programming code that satisfies robot kinematics.
为实现上述目的,按照本发明,提供了一种工业机器人编程轨迹诊断及速度优化的方法,其特征在于,包括以下步骤:In order to achieve the above object, according to the present invention, a method for diagnosing the programming trajectory and speed optimization of an industrial robot is provided, which is characterized by comprising the following steps:
(1)获取工业机器人运动轨迹的原始编程代码,并建立工业机器人模型,获取工业机器人的属性参数;(1) Obtain the original programming code of the motion trajectory of the industrial robot, establish an industrial robot model, and obtain the attribute parameters of the industrial robot;
(2)对原始编程代码生成的运动轨迹进行离散,形成等弧长的线段并获得一系列的离散点,将离散的弧长设定为一个插补周期长度的整数倍,保存离散点的笛卡尔坐标P(x,y,z,A,B,C),其中,x,y,z为工具坐标系的原点相对于工件坐标系的坐标,A,B,C为工具坐标系相对于工件坐标系的姿态;(2) Discrete the motion trajectory generated by the original programming code, form line segments of equal arc length and obtain a series of discrete points, set the discrete arc length as an integer multiple of the length of an interpolation cycle, and save the flute of the discrete points. Karl coordinate P(x, y, z, A, B, C), where x, y, z are the coordinates of the origin of the tool coordinate system relative to the workpiece coordinate system, A, B, C are the coordinates of the tool coordinate system relative to the workpiece The pose of the coordinate system;
(3)根据离散点的笛卡尔坐标P(x,y,z,A,B,C),求逆获取各个离散点的关节坐标J(θ1,θ2,θ3,θ4,θ5,θ6),θ1,θ2,θ3,θ4,θ5,θ6分别为工业机器人关节i的角度,i=1,2…6;(3) According to the Cartesian coordinates P(x,y,z,A,B,C) of the discrete points, inversely obtain the joint coordinates J(θ 1 ,θ 2 ,θ 3 ,θ 4 ,θ 5 of each discrete point , θ 6 ), θ 1 , θ 2 , θ 3 , θ 4 , θ 5 , θ 6 are the angles of the industrial robot joint i, i=1, 2…6;
(4)根据各离散点处的关节坐标和编程速度,分别计算出各离散点处的关节速度、加速度和力矩;(4) According to the joint coordinates and programming speed at each discrete point, calculate the joint speed, acceleration and torque at each discrete point respectively;
(5)根据各离散点处的关节速度、加速度和力矩,分别与工业机器人各个关节的速度限制、加速度限制和力矩限制做比较并进行诊断,对不能达到编程速度的区域并进行编程速度优化;(5) According to the joint speed, acceleration and torque at each discrete point, compare and diagnose with the speed limit, acceleration limit and torque limit of each joint of the industrial robot, and optimize the programming speed for the area that cannot reach the programming speed;
(6)输出速度优化后的编程代码,该编程代码与原始编程代码比较,增加了编程点位,优化了编程速度。(6) Output speed-optimized programming code. Compared with the original programming code, the programming code increases programming points and optimizes the programming speed.
优选地,步骤(5)中进行比较和诊断的具体过程如下:Preferably, the concrete process of comparing and diagnosing in step (5) is as follows:
以原始编程代码生成的运动轨迹的每两个编程点作为基准,如果这两编程点之间的所有离散点都没有超过各个关节的速度限制、加速度限制和力矩限制,则编程代码不变;Taking every two programming points of the motion trajectory generated by the original programming code as the benchmark, if all discrete points between these two programming points do not exceed the speed limit, acceleration limit and torque limit of each joint, the programming code will remain unchanged;
如果这两编程点之间的离散点存在超过各个关节的速度限制、加速度限制和力矩限制的点,则进行如下的编程速度优化:在两编程点之间插入新的编程点,对这两编程点之间的运动轨迹进行分段,新的编程点与刚好超过各个关节的速度限制、加速度限制和力矩限制的离散点重合,并且将每一段允许的最大线速度的最小值设定为这段的编程速度。If there are discrete points between these two programming points that exceed the speed limit, acceleration limit, and torque limit of each joint, the programming speed optimization is performed as follows: Insert a new programming point between the two programming points, program the two The motion trajectory between the points is segmented, and the new programmed points coincide with discrete points that just exceed the speed limit, acceleration limit, and torque limit of each joint, and the minimum value of the maximum linear speed allowed for each segment is set as this segment. programming speed.
优选地,对于没有超过实际限制且允许提高速度的编程点,提高编程速度至合适的值。Preferably, the programming speed is increased to a suitable value for programming points that do not exceed practical limits and allow increased speed.
优选地,所述属性参数包括DH参数、工件坐标系、工具坐标系、工业机器人各个关节的速度限制、加速度限制和力矩限制。Preferably, the attribute parameters include DH parameters, workpiece coordinate system, tool coordinate system, speed limit, acceleration limit and torque limit of each joint of the industrial robot.
总体而言,通过本发明所构思的以上技术方案与现有技术相比,能够取得下列有益效果:In general, compared with the prior art, the above technical solutions conceived by the present invention can achieve the following beneficial effects:
本方法从编程轨迹的角度,等弧长的离散编程轨迹,获取点处的关节速度、加速度和力矩信息,与关节的实际限制比较,通过增加编程点和改变编程速度的方法,实现编程轨迹的速度优化,得到满足机器人动力学的编程代码。使在实际上机运行时,缩短机器人运行时间,运行更加平稳。This method obtains the joint speed, acceleration and torque information at the point from the perspective of the programming trajectory and the discrete programming trajectory of equal arc length. Compared with the actual limit of the joint, the programming trajectory is increased by adding programming points and changing the programming speed. Speed optimization to get programming code that satisfies robot dynamics. When the actual machine is running, the running time of the robot is shortened and the operation is more stable.
附图说明Description of drawings
图1为发明的流程步骤图;Fig. 1 is the flow chart of the invention;
图2为关节1的轨迹图;Fig. 2 is the trajectory diagram of joint 1;
图3为关节1的速度图;Fig. 3 is the velocity diagram of joint 1;
图4为关节1的加速度图;Figure 4 is the acceleration diagram of joint 1;
图5为关节1的力矩图;Fig. 5 is the moment diagram of joint 1;
图6为插入编程点示例图。Figure 6 is an example diagram of insert programming points.
具体实施方式Detailed ways
为了使本发明的目的、技术方案及优点更加清楚明白,以下结合附图及实施例,对本发明进行进一步详细说明。应当理解,此处所描述的具体实施例仅仅用以解释本发明,并不用于限定本发明。此外,下面所描述的本发明各个实施方式中所涉及到的技术特征只要彼此之间未构成冲突就可以相互组合。In order to make the objectives, technical solutions and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention, but not to limit the present invention. In addition, the technical features involved in the various embodiments of the present invention described below can be combined with each other as long as they do not conflict with each other.
参照图1~图6,一种工业机器人编程轨迹诊断及速度优化的方法,包括以下步骤:1 to 6, a method for programming trajectory diagnosis and speed optimization of an industrial robot includes the following steps:
(1)获取工业机器人运动轨迹的原始编程代码,并建立工业机器人模型,获取工业机器人的属性参数;(1) Obtain the original programming code of the motion trajectory of the industrial robot, establish an industrial robot model, and obtain the attribute parameters of the industrial robot;
(2)对原始编程代码生成的运动轨迹进行离散,形成等弧长的线段并获得一系列的离散点,将离散的弧长设定为一个插补周期长度的整数倍,保存离散点的笛卡尔坐标P(x,y,z,A,B,C);(2) Discrete the motion trajectory generated by the original programming code, form line segments of equal arc length and obtain a series of discrete points, set the discrete arc length as an integer multiple of the length of an interpolation cycle, and save the flute of the discrete points. Karl coordinate P(x,y,z,A,B,C);
(3)根据离散点的笛卡尔坐标P(x,y,z,A,B,C),求逆获取各个离散点的关节坐标J(θ1,θ2,θ3,θ4,θ5,θ6),其中,x,y,z为工具坐标系的原点相对于工件坐标系的坐标,A,B,C为工具坐标系相对于工件坐标系的姿态,θ1,θ2,θ3,θ4,θ5,θ6为工业机器人各关节的角度;(3) According to the Cartesian coordinates P(x,y,z,A,B,C) of the discrete points, inversely obtain the joint coordinates J(θ 1 ,θ 2 ,θ 3 ,θ 4 ,θ 5 of each discrete point ,θ 6 ), where x, y, z are the coordinates of the origin of the tool coordinate system relative to the workpiece coordinate system, A, B, C are the poses of the tool coordinate system relative to the workpiece coordinate system, θ 1 , θ 2 , θ 3 , θ 4 , θ 5 , θ 6 are the angles of each joint of the industrial robot;
(4)根据离散点处的关节坐标和编程速度,分别计算出离散点处的关节速度、加速度和力矩;其中,所述编程速度为笛卡尔空间下的线速度;(4) according to the joint coordinates at the discrete point and the programming speed, calculate the joint speed, acceleration and torque at the discrete point respectively; wherein, the programming speed is the linear speed under the Cartesian space;
(5)根据离散点处的关节速度、加速度和力矩,分别与工业机器人各个关节的速度限制、加速度限制和力矩限制做比较,诊断出不能达到编程速度的区域并进行速度优化;(5) According to the joint speed, acceleration and torque at discrete points, compare with the speed limit, acceleration limit and torque limit of each joint of the industrial robot, diagnose the area that cannot reach the programmed speed and perform speed optimization;
(6)输出速度优化后的编程代码,该编程代码与原始编程代码比较,增加了编程点位,优化了编程速度。(6) Output speed-optimized programming code. Compared with the original programming code, the programming code increases programming points and optimizes the programming speed.
进一步,步骤(5)中的速度优化过程如下:Further, the speed optimization process in step (5) is as follows:
总是以原始编程代码生成的运动轨迹的每两个编程点作为基准,如果原先两编程点之间的所有离散点都没有超过限制,则编程代码不做改变。如果原先两编程点之间的离散点存在超过各个关节的速度限制、加速度限制和力矩限制的点,则在两编程点之间插入新的编程点,对这两个编程点之间的运动轨迹进行分段,新的编程点与刚好超过各个关节的速度限制、加速度限制和力矩限制的离散点重合,并且将每一段允许的最大线速度的最小值设定为这段的编程速度。参照图6,原始的编程点为P1和P2,设定原始的编程速度为v。由于离散点存在超过限制的点,计算其允许的最大线速度。进行速度优化时是对轨迹分段,插入新的编程点P3、P4和P5,P3、P4和P5的位置与刚好超过各个关节的速度限制、加速度限制和力矩限制的离散点位置重合,P3、P4和P5把P1P2轨迹分成四段,设定每段的编程速度为这一段允许最大线速度的最小值,即P1P3段编程速度为v,P3P4段编程速度为v1,P4P5段编程速度为v,P5P2段编程速度为v2。Always take every two programming points of the motion trajectory generated by the original programming code as the benchmark. If all the discrete points between the original two programming points do not exceed the limit, the programming code will not be changed. If there are discrete points between the original two programmed points that exceed the speed limit, acceleration limit and torque limit of each joint, insert a new programmed point between the two programmed points, and compare the motion trajectory between the two programmed points. Segmentation is performed, the new programmed point coincides with the discrete points just exceeding the speed limit, acceleration limit and torque limit of each joint, and the minimum value of the maximum linear speed allowed for each segment is set as the programmed speed of this segment. Referring to FIG. 6 , the original programming points are P1 and P2 , and the original programming speed is set as v. Since there are points that exceed the limit for discrete points, calculate the maximum allowable linear velocity. When speed optimization is performed, the trajectory is segmented, and new programmed points P3 , P4, and P5 are inserted . The positions of P3 , P4, and P5 are discrete from the speed limit, acceleration limit, and torque limit of each joint that just exceeds the limit. The point positions coincide, P3 , P4 and P5 divide the P1P2 track into four segments, and set the programming speed of each segment to the minimum value of the maximum linear speed allowed in this segment, that is, the programming speed of the P1P3 segment is v , the programming speed of P3P4 segment is v1, the programming speed of P4P5 segment is v , and the programming speed of P5P2 segment is v2 .
进一步,对于没有超过实际限制且允许提高速度的编程点,提高编程速度至合适的值。Further, increase the programming speed to an appropriate value for programming points that do not exceed practical limits and allow increased speed.
进一步,所述属性参数包括DH参数、工件坐标系、工具坐标系、工业机器人各个关节的速度限制、加速度限制和力矩限制。Further, the attribute parameters include DH parameters, workpiece coordinate system, tool coordinate system, speed limit, acceleration limit and torque limit of each joint of the industrial robot.
下面结合具体的华数HSR-JR605工业机器人,其编程轨迹诊断及速度优化的方法如下:Combining with the specific Wasu HSR-JR605 industrial robot, the methods of programming trajectory diagnosis and speed optimization are as follows:
(1)获取离线编程的代码和华数HSR-JR605工业机器人的属性参数,使用离线编程软件,使HSR-JR605机器人在一个斜坡上生成正弦轨迹,仿真得到轨迹可达,生成离线编程代码。在编程时,给定恒定的笛卡尔速度为100mm/s。获取机器人的属性参数,其关节实际限制如下表所示。(1) Obtain the code of offline programming and the attribute parameters of the Huashu HSR-JR605 industrial robot, and use the offline programming software to make the HSR-JR605 robot generate a sinusoidal trajectory on a slope, and the trajectory is reachable by simulation, and the offline programming code is generated. When programming, a constant Cartesian velocity of 100mm/s is given. Get the attribute parameters of the robot, and the actual limits of its joints are shown in the following table.
表1 HSR-JR605机器人的关节限制Table 1 Joint restrictions of HSR-JR605 robot
一部分编程代码part of programming code
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MOVES ROBOT P18{205.1112,-263.9156,320.8333,-90.0000,30.0000,140.6536}Vtran=100MOVES ROBOT P18{205.1112,-263.9156,320.8333,-90.0000,30.0000,140.6536}Vtran=100
MOVES ROBOT P19{202.8824,-262.1114,321.8750,-90.0000,30.0000,132.5908}MOVES ROBOT P19{202.8824,-262.1114,321.8750,-90.0000,30.0000,132.5908}
MOVES ROBOT P20{200.3213,-258.5029,323.9583,-90.0000,30.0000,107.1232}MOVES ROBOT P20{200.3213,-258.5029,323.9583,-90.0000,30.0000,107.1232}
MOVES ROBOT P21{200.0001,-256.6987,325.0000,-90.0000,30.0000,90.0053}MOVES ROBOT P21{200.0001,-256.6987,325.0000,-90.0000,30.0000,90.0053}
MOVES ROBOT P22{200.3212,-254.8945,326.0417,-90.0000,30.0000,72.8654}MOVES ROBOT P22{200.3212,-254.8945,326.0417,-90.0000,30.0000,72.8654}
MOVES ROBOT P23{201.2835,-253.0903,327.0833,-90.0000,30.0000,58.4061}MOVES ROBOT P23{201.2835,-253.0903,327.0833,-90.0000,30.0000,58.4061}
MOVES ROBOT P24{202.8822,-251.2861,328.1250,-90.0000,30.0000,47.4065}MOVES ROBOT P24{202.8822,-251.2861,328.1250,-90.0000,30.0000,47.4065}
MOVES ROBOT P25{205.1113,-249.4819,329.1667,-90.0000,30.0000,39.3476}MOVES ROBOT P25{205.1113,-249.4819,329.1667,-90.0000,30.0000,39.3476}
MOVES ROBOT P26{207.9605,-247.6776,330.2083,-90.0000,30.0000,33.4335}MOVES ROBOT P26{207.9605,-247.6776,330.2083,-90.0000,30.0000,33.4335}
MOVES ROBOT P27{211.4182,-245.8734,331.2500,-90.0000,30.0000,29.0082}MOVES ROBOT P27{211.4182,-245.8734,331.2500,-90.0000,30.0000,29.0082}
MOVES ROBOT P28{220.0963,-242.2650,333.3333,-90.0000,30.0000,22.9961}MOVES ROBOT P28{220.0963,-242.2650,333.3333,-90.0000,30.0000,22.9961}
………………………………
(2)等弧长离散编程点,获取离散后点坐标。此时弧长的值设定为10个插补周期1mm。(2) Discrete programming points with equal arc length, and obtain the coordinates of the discrete points. At this time, the arc length is set as 10 interpolation cycles of 1 mm.
说明:由于工业机器人有6个关节,数量较多,这里只给出关节1的结果,其他关节不列出。Note: Since the industrial robot has 6 joints, which is a large number, only the results of joint 1 are given here, and other joints are not listed.
(3)利用点的笛卡尔坐标和位姿信息,得到点的关节坐标,得到其弧长域下的曲线。(3) Using the Cartesian coordinates and pose information of the point, the joint coordinates of the point are obtained, and the curve in the arc length domain is obtained.
(4)利用上一步计算出的关节坐标和编程点处的速度,分别计算出关节速度、加速度和力矩,并得到相应的曲线。(4) Using the joint coordinates calculated in the previous step and the speed at the programming point, calculate the joint speed, acceleration and torque respectively, and obtain the corresponding curve.
(5)以每两个编程点为基准,用计算的值与关节的实际属性限制做比较,诊断出是否存在超限的点,并对不同情况做不同的处理。有上面的关节1的速度、加速度和力矩图像可知,可以快速的定位超限的点。(5) Based on every two programming points, compare the calculated value with the actual attribute limit of the joint, diagnose whether there is an out-of-limit point, and deal with different situations differently. With the speed, acceleration and torque images of joint 1 above, we can quickly locate the point that exceeds the limit.
(6)完成前面的处理后,输出速度优化后的编程代码。(6) After completing the previous processing, output the programming code optimized for the speed.
速度优化后部分编程代码为Part of the programming code after speed optimization is
..................................................
MOVES ROBOT P18{205.1112,-263.9156,320.8333,-90.0000,30.0000,140.6536}Vtran=160MOVES ROBOT P18{205.1112,-263.9156,320.8333,-90.0000,30.0000,140.6536}Vtran=160
MOVES ROBOT P19{202.8824,-262.1114,321.8750,-90.0000,30.0000,132.5908}MOVES ROBOT P19{202.8824,-262.1114,321.8750,-90.0000,30.0000,132.5908}
MOVES ROBOT P157{201.2834,-260.3072,322.9167,-90.0000,30.0000,121.6003}Vtran=95.0MOVES ROBOT P157{201.2834,-260.3072,322.9167,-90.0000,30.0000,121.6003}Vtran=95.0
MOVES ROBOT P20{200.3213,-258.5029,323.9583,-90.0000,30.0000,107.1232}Vtran=32.60MOVES ROBOT P20{200.3213,-258.5029,323.9583,-90.0000,30.0000,107.1232}Vtran=32.60
MOVES ROBOT P21{200.0001,-256.6987,325.0000,-90.0000,30.0000,90.0053}MOVES ROBOT P21{200.0001,-256.6987,325.0000,-90.0000,30.0000,90.0053}
MOVES ROBOT P22{200.3212,-254.8945,326.0417,-90.0000,30.0000,72.8654}MOVES ROBOT P22{200.3212,-254.8945,326.0417,-90.0000,30.0000,72.8654}
MOVES ROBOT P23{201.2835,-253.0903,327.0833,-90.0000,30.0000,58.4061}MOVES ROBOT P23{201.2835,-253.0903,327.0833,-90.0000,30.0000,58.4061}
MOVES ROBOT P24{202.8822,-251.2861,328.1250,-90.0000,30.0000,47.4065}MOVES ROBOT P24{202.8822,-251.2861,328.1250,-90.0000,30.0000,47.4065}
MOVES ROBOT P25{205.1113,-249.4819,329.1667,-90.0000,30.0000,39.3476}MOVES ROBOT P25{205.1113,-249.4819,329.1667,-90.0000,30.0000,39.3476}
MOVES ROBOT P26{207.9605,-247.6776,330.2083,-90.0000,30.0000,33.4335}MOVES ROBOT P26{207.9605,-247.6776,330.2083,-90.0000,30.0000,33.4335}
MOVES ROBOT P27{211.4182,-245.8734,331.2500,-90.0000,30.0000,29.0082}Vtran=32.60MOVES ROBOT P27{211.4182,-245.8734,331.2500,-90.0000,30.0000,29.0082}Vtran=32.60
MOVES ROBOT P158{215.4692,-244.0692,332.2917,-90.0000,30.0000,25.6325}Vtran=96.5MOVES ROBOT P158{215.4692,-244.0692,332.2917,-90.0000,30.0000,25.6325}Vtran=96.5
MOVES ROBOT P28{220.0963,-242.2650,333.3333,-90.0000,30.0000,22.9961}Vtran=160MOVES ROBOT P28{220.0963,-242.2650,333.3333,-90.0000,30.0000,22.9961}Vtran=160
…………………………………
两次代码对比,从P157和P158的代码可以发现,优化后编程点的数量有所增加,编程速度也有所改变。输出后的编程代码进行了速度优化和满足机器人的运动学。Comparing the two codes, it can be found from the codes of P157 and P158 that the number of programming points after optimization has increased, and the programming speed has also changed. The output programming code is optimized for speed and satisfying the kinematics of the robot.
本领域的技术人员容易理解,以上所述仅为本发明的较佳实施例而已,并不用以限制本发明,凡在本发明的精神和原则之内所作的任何修改、等同替换和改进等,均应包含在本发明的保护范围之内。Those skilled in the art can easily understand that the above are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements and improvements made within the spirit and principles of the present invention, etc., All should be included within the protection scope of the present invention.
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