WO2022007753A1 - Digital twin modeling method oriented to mobile robot milling processing - Google Patents

Digital twin modeling method oriented to mobile robot milling processing Download PDF

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WO2022007753A1
WO2022007753A1 PCT/CN2021/104562 CN2021104562W WO2022007753A1 WO 2022007753 A1 WO2022007753 A1 WO 2022007753A1 CN 2021104562 W CN2021104562 W CN 2021104562W WO 2022007753 A1 WO2022007753 A1 WO 2022007753A1
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unit
pose
mobile robot
data
key
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PCT/CN2021/104562
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French (fr)
Chinese (zh)
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文科
张加波
韩建超
乐毅
周莹皓
韩妙玲
刘娇文
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北京卫星制造厂有限公司
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/002Measuring arrangements characterised by the use of optical techniques for measuring two or more coordinates
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B25HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
    • B25JMANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
    • B25J11/00Manipulators not otherwise provided for
    • B25J11/005Manipulators for mechanical processing tasks
    • B25J11/0055Cutting
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B25HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
    • B25JMANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
    • B25J9/00Programme-controlled manipulators
    • B25J9/08Programme-controlled manipulators characterised by modular constructions
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B25HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
    • B25JMANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
    • B25J9/00Programme-controlled manipulators
    • B25J9/16Programme controls
    • B25J9/1602Programme controls characterised by the control system, structure, architecture
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/16Measuring arrangements characterised by the use of optical techniques for measuring the deformation in a solid, e.g. optical strain gauge
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T17/00Three dimensional [3D] modelling, e.g. data description of 3D objects
    • G06T17/20Finite element generation, e.g. wire-frame surface description, tesselation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T2200/00Indexing scheme for image data processing or generation, in general
    • G06T2200/04Indexing scheme for image data processing or generation, in general involving 3D image data

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  • the invention relates to a digital twin modeling method for mobile robot milling and belongs to the technical field of mobile robot application and digital twin.
  • Mobile robot milling is an effective way to solve the problem of high-efficiency and high-precision manufacturing of large and complex components.
  • Large and complex components such as spacecraft cabins, large wind turbine blades, and high-speed rail car body structural components, have the characteristics of large size, complex structure, weak rigidity, and high processing accuracy requirements.
  • the manufacture of such components has exceeded the processing capacity of existing machine tools. .
  • Aviation Manufacturing Network has included the precision machining of mobile robots in the top 20 trends in foreign defense manufacturing technology in 2019. For example, the mobile robot developed by the Fraunhofer Society in Germany is used for milling of aircraft wings.
  • Existing research shows that mobile processing robots have important research significance and broad application prospects.
  • the technical solution of the present invention is to overcome the deficiencies of the prior art and provide a digital twin modeling method for mobile robot processing.
  • a digital twin modeling method for mobile robot processing the steps are as follows:
  • the mobile robot milling processing system is divided into units, which are specifically divided into: laser tracker measurement unit, mobile robot unit, milling actuator unit, visual measurement unit, and large and complex component unit;
  • step (2) Based on the units divided in step (1), a multi-level relationship is divided for the mobile robot milling processing system;
  • step (3) Based on the multi-level relationship divided in step (2), it is determined that key features are to be extracted;
  • the laser tracker measuring unit is used to construct different coordinate systems, and is realized by a laser tracker
  • the vision measuring unit is used to measure the milling plane and target point
  • the milling actuator unit is used for the execution of milling processing, and the vision measurement unit is installed on the milling actuator unit;
  • Mobile robot unit including an omnidirectional mobile platform and a robot installed on the mobile platform, the milling actuator unit is installed on the mobile robot, and the mobile robot adjusts the spatial pose of the milling actuator unit;
  • Large-scale complex component unit refers to the cabin component, the bracket is installed on the periphery of the cabin, and the upper surface of the bracket is the area to be milled.
  • the multi-level relationship division of the mobile robot milling processing system refers to dividing the existing relationship between the units into a geometric matching layer, a pose alignment layer and a deformation compensation layer;
  • Geometric matching layer The geometric matching layer is used to assign the actual accuracy information of each unit to the virtual model, so that the virtual model and the physical entity are mapped one by one at the geometric level; the actual accuracy information includes tolerance type, tolerance value, accuracy grade and surface roughness;
  • Pose alignment layer There is actually a relative positional relationship between each unit itself and between the units, and with the milling of the mobile robot, the relative positional relationship changes in real time.
  • the pose alignment layer is based on the coordinate system established by each unit. The relative positional relationship between the two is described by the pose, so that the virtual model and the physical entity are mapped one by one at the pose level;
  • Deformation compensation layer Each unit is deformed due to gravity and the generated cutting force during the processing.
  • the deformation compensation layer assigns the physical deformation to the virtual model, so that the virtual model and the physical entity are mapped one by one in the deformation compensation layer.
  • step (3) determines to extract key features, specifically:
  • the upper surface of the bracket of the large and complex component unit is measured by the visual measurement unit, and the plane of the data fitting is obtained as the key feature;
  • Each unit coordinate system includes the laser tracker unit design coordinate system, the visual measurement unit design coordinate system, the milling actuator unit design coordinate system, the mobile robot unit base design coordinate system, and the large-scale complex component unit design coordinate system;
  • the mobile robot mills the upper surface of the bracket, converts the deformation amount to compensate the key measurement points, and obtains the pose of the data fitting as the key feature; at the same time, the contact between the milling actuator unit and the large and complex component unit is passed.
  • the pose of the mobile robot unit obtained by force calculation is used as the key feature.
  • step (4) carries out physical entity measurement to determine the key features to be extracted, specifically:
  • the upper surface of the support of the large and complex component unit is measured by the visual measurement unit, and the measured surface data is obtained, and the measured surface data is discrete point cloud data;
  • the laser tracker unit is used to measure ⁇ 3 key measurement points selected in each unit coordinate system, and the measured data of the key measurement points are obtained;
  • the offset weights of key measurement points are calculated by mechanical calculation or finite element method, and the above key measurement points are measured by the laser tracker unit to obtain the measured data; the milling execution installed on the mobile robot unit is measured by the six-dimensional force sensor. The force of the device unit is obtained, and the measured data of the contact force is obtained.
  • step (6) performs reverse modeling of key features, including reverse modeling of key features of the geometric matching layer, reverse modeling of key features of the pose constraint layer, and reverse modeling of key features of the deformation compensation layer;
  • the reverse modeling of the key features of the geometric matching layer is carried out, specifically: based on the normalized data, an error curve is used to describe the topography of the upper surface of the bracket. The fluctuation is described as the extension of the error curve along the y direction.
  • the least squares method is used to perform polynomial fitting on the discrete data of the error curve, so as to reconstruct the continuous curve function close to the surface shape of the actual part, and realize the inverse modeling of the upper surface of the bracket, that is, geometric matching. Reverse modeling of layer key features.
  • perform reverse modeling of key features of the pose constraint layer specifically: based on the coordinate system of each unit, measure key measurement points through the laser tracker unit, obtain the measured data in the laser tracker coordinate system, and combine the location of the key measurement points.
  • Theoretical data in different coordinate systems are used to solve the pose of each unit in the laser tracker coordinate system, and then determine the mutual position of each unit to realize the inverse modeling of the pose.
  • solving the pose of each unit in the laser tracker coordinate system specifically includes the following steps:
  • Tc TVD ⁇ Tk between the theoretical data of the key measurement point set coordinates and the measurement data, and Tc is the desired pose.
  • the 3D model of the measured cabin support is imported through finite element analysis, and the relevant parameters are set according to the actual milling environment, and the force and deformation of the cabin support are analyzed to obtain the offset vector of each key measurement point;
  • Perform inverse modeling of pose caused by contact force including:
  • F is the 6-dimensional generalized force vector measured by the 6-dimensional force sensor
  • X is the 6-dimensional generalized deformation vector of the robot pose
  • K is a 6 ⁇ 6 Cartesian stiffness matrix, and has:
  • J is the robot Jacobian matrix
  • K q is the joint stiffness matrix
  • the robot pose is corrected by X, and then the reverse modeling of the pose caused by the contact force is realized.
  • the digital twin model is continuously updated, thereby realizing the dynamic reconstruction of the digital twin model.
  • the present invention improves the accuracy of the digital twin model construction, updates in real time, ensures the effective integration of the virtual environment and the physical environment, and lays a foundation for the subsequent twin data-driven mobile robot processing process prediction, regulation, optimization and other processes .
  • the present invention combines the actual process of milling with mobile robots, and based on the existing theoretical methods of machining analysis, establishes a multi-dimensional, multi-space-time scale, and multi-physical dynamic virtual model of the physical entity in a digital manner to simulate and describe the physical entity in the real world.
  • the attributes and behaviors in the environment not only lay the foundation for optimal decision-making, but also ensure the application of digital twin technology.
  • Fig. 1 is the flow chart of the method of the present invention
  • Fig. 2 is the error curve schematic diagram of the present invention
  • FIG. 3 is a schematic diagram of the mobile robot processing system of the present invention.
  • the present invention relates to a digital twin modeling method oriented to mobile robot processing, comprising the following steps: (1) cell division of the mobile robot milling processing system; (2) multi-level division of the mobile robot processing process oriented to digital twin modeling; ( 3) Key feature extraction based on multi-level division; (4) Measurement data acquisition based on physical entities; (5) Data noise reduction and normalization processing; (6) Multi-level inverse modeling method; (7) Digital Dynamic reconstruction and matching of twin models.
  • the invention improves the accuracy of the digital twin body model construction, updates in real time, ensures the effective integration of the virtual environment and the physical environment, and lays a foundation for the subsequent twin data-driven mobile robot processing process prediction, regulation, optimization and other processes.
  • the present invention proposes a digital twin modeling method for mobile robot processing.
  • the steps are as follows:
  • Laser tracker measurement unit including the laser tracker body, measurement data processing software and supporting aids, etc., used to construct different coordinate systems;
  • Vision measurement unit including cameras, lenses, light sources and other hardware, data processing software and supporting aids, etc., used to measure the milling plane and target points;
  • Milling actuator unit including spindle, tool, sensor and supporting auxiliary, etc., used for milling process execution, on which the vision measurement unit is installed;
  • Mobile robot unit including omnidirectional mobile platform, robot (installed on the mobile platform), control cabinet and other hardware, numerical control software system and supporting auxiliary, etc., used to install and fix the milling actuator unit, move the robot and adjust the milling actuator unit to adjust the spatial pose;
  • Large-scale complex component unit It includes large-scale cabin-type components made of aluminum alloys, and brackets are installed on the periphery of the cabin. The upper surface of the bracket is the area to be milled.
  • the multi-level relationship division of the mobile robot milling processing system Based on the units divided in step (1), the multi-level relationship division of the mobile robot milling processing system; for digital twin modeling, the multi-level relationship division of the mobile robot milling processing system refers to dividing the unit itself and the unit with the The relationship between units is divided into geometric matching layer, pose alignment layer and deformation compensation layer;
  • each unit has its own geometric dimensions; the deformation includes the deformation of large and complex component units, the deformation of mobile robot units, and the milling execution unit. Only key feature extraction is performed in the subsequent modeling, ignoring some pose relationships, geometric dimensions, deformations, etc., which simplifies the modeling process.
  • Geometric matching layer The design model of each unit in the virtual environment is a theoretical model, but there are geometric errors in the actual unit manufacturing process, and the accuracy information is determined by parameters such as tolerance type, tolerance value, accuracy grade, and surface roughness.
  • the geometric matching layer is used to assign the actual accuracy information of each unit to the virtual model, so that the virtual model and the physical entity are mapped one by one at the geometric level; the actual accuracy information includes tolerance type, tolerance value, accuracy grade and surface roughness;
  • Pose alignment layer There is actually a relative positional relationship between each unit itself and between the units, and with the milling of the mobile robot, the relative positional relationship changes in real time.
  • the pose alignment layer is based on the coordinate system established by each unit. The relative positional relationship between the two is described by the pose, so that the virtual model and the physical entity are mapped one by one at the pose level;
  • Deformation compensation layer The material properties of each element are composed of material properties, mechanical properties, and heat treatment methods. Each unit is deformed due to gravity and the generated cutting force during the machining process. The deformation compensation layer assigns the physical deformation to the virtual model, so that the virtual model and the physical entity are mapped one by one in the deformation compensation layer.
  • step (3) Based on the multi-level relationship divided in step (2), it is determined that key features are to be extracted;
  • the upper surface of the bracket of the large and complex component unit is measured by the visual measurement unit, and the plane of the data fitting is obtained as the key feature;
  • each unit coordinate system includes the laser tracker unit design coordinate system, the visual measurement unit design coordinate system, the milling actuator unit design coordinate system, the mobile robot unit base design coordinate system, and the large complex component unit design coordinate system.
  • the mobile robot mills the upper surface of the bracket, considering the deformation of the aluminum alloy cabin bracket, which leads to the deviation of the key measurement points, converts the deformation amount to compensate the key measurement points, and obtains the pose of the data fitting as the key feature; At the same time, considering the force on the end of the robot, which leads to the deformation of the weakly rigid robot structure, the pose of the mobile robot unit obtained by the calculation of the contact force between the milling actuator unit and the large and complex component unit is used as the key feature.
  • step (3) Perform physical entity measurement on the key features determined to be extracted in step (3); specifically:
  • the upper surface of the support of the large and complex component unit is measured by the visual measurement unit, and the measured surface data is obtained, and the measured surface data is discrete point cloud data;
  • the laser tracker unit is used to measure ⁇ 3 key measurement points selected in each unit coordinate system, and the measured data of the key measurement points are obtained;
  • the offset weights of key measurement points are calculated by mechanical calculation or finite element method, and the above key measurement points are measured by the laser tracker unit to obtain the measured data; the milling execution installed on the mobile robot unit is measured by the six-dimensional force sensor. The force of the device unit is obtained, and the measured data of the contact force is obtained.
  • the processing steps include: point cloud alignment, error point elimination, filtering, streamlining, etc. , to correct the measured accuracy information of key features.
  • the reverse modeling of the key features of the geometric matching layer is carried out, specifically: based on the normalized data, an error curve is used to describe the topography of the upper surface of the bracket. The fluctuation is described as the extension of the error curve along the y direction. As shown in Figure 2, the least squares method is used to perform polynomial fitting on the discrete data of the error curve, so as to reconstruct a continuous curve function close to the surface shape of the actual part, and realize the inversion of the upper surface of the bracket. Modeling, that is, the reverse modeling of the key features of the geometric matching layer.
  • f (x) is the least squares fit of discrete points clouds polynomial. Denote the squared value of the fitted curve and the two-norm of the discrete points as e, that is,
  • k is a positive integer from 0 to m
  • the above formula can be expressed in matrix form, and the polynomial order m is set according to the design requirements of key features, the unique solution of the combination of polynomial coefficients can be calculated, and then the geometric shape closest to the real line feature can be obtained.
  • Tc TVD ⁇ Tk between the theoretical data of the key measurement point set coordinates and the measurement data, and Tc is the desired pose.
  • the deformation analysis of the aluminum alloy cabin bracket model is carried out by means of the finite element analysis method. On this basis, an offset vector weight factor is introduced into the theoretical coordinates of each key measurement point. , combined with the measured data of the laser tracker, the weighted pose fitting algorithm is used to solve the pose.
  • the weighted pose inverse modeling is performed, and the steps are as follows:
  • Perform inverse modeling of pose caused by contact force including:
  • the force on the end of the robot is measured by a six-dimensional force/torque sensor to obtain the measured contact force data.
  • the amount of pose change caused by the force and deformation of the robot, in the coordinate system of the milling actuator unit, satisfies the following Hooke's law:
  • F is the 6-dimensional generalized force vector measured by the 6-dimensional force/torque sensor
  • X is the 6-dimensional broad deformation vector
  • K is the 6 ⁇ 6 Cartesian stiffness matrix
  • the 6-dimensional wide deformation vector X can be solved, and then the robot pose can be corrected, so as to realize the reverse modeling of the pose caused by the deformation compensation.
  • the digital twin model is continuously updated, thereby realizing the dynamic reconstruction of the digital twin model.
  • the invention establishes a multi-dimensional, multi-space-time scale, and multi-physical dynamic virtual model of the physical entity in a digital manner to simulate and describe the properties of the physical entity in the real environment, Behaviors, etc., lay the foundation for the prediction, regulation, optimization, and decision-making of the twin data-driven mobile robot milling process.

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Abstract

A digital twin modeling method oriented to mobile robot milling processing, comprising the steps of: (1) a unit division performed with respect to a mobile robot milling processing system; (2) a multilevel division of a mobile robot processing process oriented to digital twin modeling; (3) a key feature extraction on the basis of the multilevel division; (4) the acquisition of measured data on the basis a physical entity; (5) noise reduction and normalization processing of the data; (6), a multilevel reverse modeling method; and (7) the dynamic reconstruction and matching of a digital twin model. As such, the accuracy in the construction of a digital twin model is increased, updates are done in real-time, the effective merging of a virtual environment and a physical environment is ensured, and a foundation is laid for subsequent processes of predicting, controlling, and optimizing a twin data-driven mobile robot processing process.

Description

一种面向移动机器人铣削加工的数字孪生建模方法A digital twin modeling method for mobile robot milling
本申请要求于2020年07月06日提交中国专利局、申请号为202010642150.8、申请名称为“一种面向移动机器人铣削加工的数字孪生建模方法”的中国专利申请的优先权,其全部内容通过引用结合在本申请中。This application claims the priority of the Chinese patent application with the application number 202010642150.8 and the application title "A Digital Twin Modeling Method for Mobile Robot Milling", which was filed with the China Patent Office on July 6, 2020, the entire content of which is approved by Reference is incorporated in this application.
技术领域technical field
本发明涉及一种面向移动机器人铣削加工的数字孪生建模方法,属于移动机器人应用与数字孪生技术领域。The invention relates to a digital twin modeling method for mobile robot milling and belongs to the technical field of mobile robot application and digital twin.
背景技术Background technique
移动机器人铣削加工是解决大型复杂构件高效高精制造难题的有效途径。大型复杂构件,如航天器舱体、大型风电叶片、高铁车体结构件等,呈现出尺寸大、结构复杂、刚性弱、加工精度要求高等特点,此类构件制造已超出现有机床的加工能力。基于专利文献计量分析视角,工业机器人研发热点已逐步向移动机器人、多机器人系统过渡。航空制造网已将移动机器人精密加工列入了2019国外国防制造技术二十大动向。例如,德国弗劳恩霍夫协会研制的移动机器人用于飞机机翼铣边加工。现有研究表明,移动加工机器人具有重要的研究意义和广泛的应用前景。Mobile robot milling is an effective way to solve the problem of high-efficiency and high-precision manufacturing of large and complex components. Large and complex components, such as spacecraft cabins, large wind turbine blades, and high-speed rail car body structural components, have the characteristics of large size, complex structure, weak rigidity, and high processing accuracy requirements. The manufacture of such components has exceeded the processing capacity of existing machine tools. . Based on the perspective of patent bibliometric analysis, the research and development of industrial robots has gradually shifted to mobile robots and multi-robot systems. Aviation Manufacturing Network has included the precision machining of mobile robots in the top 20 trends in foreign defense manufacturing technology in 2019. For example, the mobile robot developed by the Fraunhofer Society in Germany is used for milling of aircraft wings. Existing research shows that mobile processing robots have important research significance and broad application prospects.
随着模型轻量化、MBD、基于物理的建模等模型数字化表达技术逐渐成熟,大数据、物联网、云计算等新一代信息与通信技术的快速普及与应用,以及机器学习、深度学习等智能优化算法的不断涌现,使得数字孪生的形态和概 念不断丰富。数字孪生已被许多国际著名企业,如西门子、达索、通用、NASA、波音等,应用在产品设计、制造和服务等方面,以保证产品的最终质量。特别是制造模式与数字孪生的结合,既能够解决具体制造闭环优化决策及产品研制模式的改变,又保证了数字孪生的落地应用。如郭飞燕等基于制造过程中的全数字量协调传递方式,通过“虚实融合、以虚控实”的手段,对数字孪生模型驱动的航空产品装配工艺优化-反馈-改进环机制进行了研究。数字孪生技术非常适合在大型复杂构件移动机器人铣削加工领域应用,一方面数字孪生根据感知数据进行建模、仿真、优化手段来分析系统的可制造性;另一方面通过统计、分析与处理对系统进行实时监测与控制,从系统层面实现了孪生数据驱动的系统优化和改进。将数字孪生技术与移动机器人加工技术有效结合,实现数字孪生“虚实融合、以虚控实”的首要前提是对移动机器人铣削加工进行数字孪生建模。With the gradual maturity of model digital expression technologies such as model lightweighting, MBD, and physics-based modeling, the rapid popularization and application of new-generation information and communication technologies such as big data, Internet of Things, and cloud computing, as well as the rapid popularization and application of new-generation information and communication technologies such as machine learning and deep learning The continuous emergence of optimization algorithms has enriched the forms and concepts of digital twins. Digital twins have been used by many famous international companies, such as Siemens, Dassault, GM, NASA, Boeing, etc., in product design, manufacturing and service to ensure the final quality of products. In particular, the combination of manufacturing mode and digital twin can not only solve specific manufacturing closed-loop optimization decisions and changes in product development mode, but also ensure the application of digital twin. For example, Guo Feiyan and others conducted research on the optimization-feedback-improvement loop mechanism of aviation product assembly process driven by digital twin model by means of "integration of virtual and real, and virtual control of real" based on the coordinated transmission of all digital quantities in the manufacturing process. Digital twin technology is very suitable for application in the field of large and complex component mobile robot milling. Real-time monitoring and control are carried out, and twin data-driven system optimization and improvement are realized from the system level. To effectively combine the digital twin technology with the mobile robot processing technology, the first premise to realize the "virtual-real integration and virtual control of the real" of the digital twin is to carry out digital twin modeling for the milling processing of mobile robots.
发明内容SUMMARY OF THE INVENTION
本发明的技术解决问题是:克服现有技术的不足,提供一种面向移动机器人加工的数字孪生建模方法。The technical solution of the present invention is to overcome the deficiencies of the prior art and provide a digital twin modeling method for mobile robot processing.
本发明的技术解决方案是:The technical solution of the present invention is:
一种面向移动机器人加工的数字孪生建模方法,步骤如下:A digital twin modeling method for mobile robot processing, the steps are as follows:
(1)对移动机器人铣削加工系统进行单元划分;(1) Unit division of the mobile robot milling processing system;
将移动机器人铣削加工系统进行单元划分,具体划分为:激光跟踪仪测量单元、移动机器人单元、铣削执行器单元、视觉测量单元、大型复杂构件单元;The mobile robot milling processing system is divided into units, which are specifically divided into: laser tracker measurement unit, mobile robot unit, milling actuator unit, visual measurement unit, and large and complex component unit;
(2)基于步骤(1)划分的单元,对移动机器人铣削加工系统进行多层次关系划分;(2) Based on the units divided in step (1), a multi-level relationship is divided for the mobile robot milling processing system;
(3)基于步骤(2)划分的多层次关系,确定要提取关键特征;(3) Based on the multi-level relationship divided in step (2), it is determined that key features are to be extracted;
(4)对步骤(3)确定要提取的关键特征进行物理实体测量;(4) carry out physical entity measurement to the key features determined to be extracted in step (3);
(5)对步骤(4)实体测量得到的数据进行降噪与归一化处理;(5) performing noise reduction and normalization processing on the data obtained by the entity measurement in step (4);
(6)根据步骤(5)处理后的数据,进行关键特征的逆向建模;(6) carry out reverse modeling of key features according to the processed data in step (5);
(7)进行数字孪生体模型动态重构,完成面向移动机器人加工的数字孪生建模。(7) Dynamically reconstruct the digital twin model to complete the digital twin modeling for mobile robot processing.
进一步的,所述激光跟踪仪测量单元用于构建不同坐标系,采用激光跟踪仪实现;Further, the laser tracker measuring unit is used to construct different coordinate systems, and is realized by a laser tracker;
视觉测量单元用于测量铣削平面及靶标点;The vision measuring unit is used to measure the milling plane and target point;
铣削执行器单元用于铣削加工的执行,视觉测量单元安装铣削执行器单元上面;The milling actuator unit is used for the execution of milling processing, and the vision measurement unit is installed on the milling actuator unit;
移动机器人单元:包括全向移动平台以及该移动平台上安装的机器人,铣削执行器单元安装在所述移动机器人上,移动机器人对铣削执行器单元的空间位姿进行调整;Mobile robot unit: including an omnidirectional mobile platform and a robot installed on the mobile platform, the milling actuator unit is installed on the mobile robot, and the mobile robot adjusts the spatial pose of the milling actuator unit;
大型复杂构件单元:是指舱体类构件,舱体外围安装支架,支架上表面即为待铣削加工区域。Large-scale complex component unit: refers to the cabin component, the bracket is installed on the periphery of the cabin, and the upper surface of the bracket is the area to be milled.
进一步的,对移动机器人铣削加工系统进行多层次关系划分,是指将单元之间存在的关系划分为几何匹配层、位姿对齐层及变形补偿层;Further, the multi-level relationship division of the mobile robot milling processing system refers to dividing the existing relationship between the units into a geometric matching layer, a pose alignment layer and a deformation compensation layer;
几何匹配层:几何匹配层用于将各单元实际精度信息赋予虚拟模型,使得虚拟模型与物理实体在几何层面一一映射;实际精度信息包括公差类型、公差值、精度等级以及表面粗糙度;Geometric matching layer: The geometric matching layer is used to assign the actual accuracy information of each unit to the virtual model, so that the virtual model and the physical entity are mapped one by one at the geometric level; the actual accuracy information includes tolerance type, tolerance value, accuracy grade and surface roughness;
位姿对齐层:实际各个单元自身及单元间存在相对位置关系,且随着移动机器人铣削加工,相对位置关系实时变化,位姿对齐层是基于各单元所建立的 坐标系,将单元自身及单元间存在的相对位置关系用位姿进行描述,使得虚拟模型与物理实体在位姿层面一一映射;Pose alignment layer: There is actually a relative positional relationship between each unit itself and between the units, and with the milling of the mobile robot, the relative positional relationship changes in real time. The pose alignment layer is based on the coordinate system established by each unit. The relative positional relationship between the two is described by the pose, so that the virtual model and the physical entity are mapped one by one at the pose level;
变形补偿层:各单元在加工过程中由于重力及产生的切削力发生变形,变形补偿层是将物理变形量赋予虚拟模型,使得虚拟模型与物理实体在变形补偿层一一映射。Deformation compensation layer: Each unit is deformed due to gravity and the generated cutting force during the processing. The deformation compensation layer assigns the physical deformation to the virtual model, so that the virtual model and the physical entity are mapped one by one in the deformation compensation layer.
进一步的,所述步骤(3)确定要提取关键特征,具体为:Further, the step (3) determines to extract key features, specifically:
在几何匹配层,针对待铣削加工区域,通过视觉测量单元对大型复杂构件单元的支架上表面进行测量,获取数据拟合的平面作为关键特征;In the geometric matching layer, for the area to be milled, the upper surface of the bracket of the large and complex component unit is measured by the visual measurement unit, and the plane of the data fitting is obtained as the key feature;
在位姿约束层,针对各单元相互位置关系,在各单元坐标系下选定≥3个数量的关键测量点,获取数据拟合的位姿作为关键特征;In the pose constraint layer, according to the mutual position relationship of each unit, ≥3 key measurement points are selected in each unit coordinate system, and the pose of the data fitting is obtained as the key feature;
各单元坐标系包括激光跟踪仪单元设计坐标系、视觉测量单元设计坐标系、铣削执行器单元设计坐标系、移动机器人单元基设计坐标系,大型复杂构件单元设计坐标系;Each unit coordinate system includes the laser tracker unit design coordinate system, the visual measurement unit design coordinate system, the milling actuator unit design coordinate system, the mobile robot unit base design coordinate system, and the large-scale complex component unit design coordinate system;
在变形补偿层,移动机器人铣削支架上表面,将变形量转换到对关键测量点补偿,获取数据拟合的位姿作为关键特征;同时将通过铣削执行器单元与大型复杂构件单元之间的接触力计算获取的移动机器人单元位姿作为关键特征。In the deformation compensation layer, the mobile robot mills the upper surface of the bracket, converts the deformation amount to compensate the key measurement points, and obtains the pose of the data fitting as the key feature; at the same time, the contact between the milling actuator unit and the large and complex component unit is passed. The pose of the mobile robot unit obtained by force calculation is used as the key feature.
进一步的,所述步骤(4)对确定要提取的关键特征进行物理实体测量,具体为:Further, described step (4) carries out physical entity measurement to determine the key features to be extracted, specifically:
在几何匹配层,通过视觉测量单元对大型复杂构件单元支架上表面进行测量,获得表面实测数据,表面实测数据为离散点云数据;In the geometric matching layer, the upper surface of the support of the large and complex component unit is measured by the visual measurement unit, and the measured surface data is obtained, and the measured surface data is discrete point cloud data;
在位姿约束层,通过激光跟踪仪单元测量各个单元坐标系下选定的≥3个的关键测量点,获取关键测量点的实测数据;In the pose constraint layer, the laser tracker unit is used to measure ≥3 key measurement points selected in each unit coordinate system, and the measured data of the key measurement points are obtained;
在变形补偿层,通过力学计算或有限元方法计算关键测量点偏移权重,通 过激光跟踪仪单元测量上述关键测量点,获取实测数据;通过六维测力传感器测量移动机器人单元上安装的铣削执行器单元的受力,获取接触力实测数据。In the deformation compensation layer, the offset weights of key measurement points are calculated by mechanical calculation or finite element method, and the above key measurement points are measured by the laser tracker unit to obtain the measured data; the milling execution installed on the mobile robot unit is measured by the six-dimensional force sensor. The force of the device unit is obtained, and the measured data of the contact force is obtained.
进一步的,所述步骤(6)进行关键特征的逆向建模,包括几何匹配层关键特征逆向建模、位姿约束层关键特征逆向建模、变形补偿层关键特征逆向建模;Further, the step (6) performs reverse modeling of key features, including reverse modeling of key features of the geometric matching layer, reverse modeling of key features of the pose constraint layer, and reverse modeling of key features of the deformation compensation layer;
进行几何匹配层关键特征逆向建模,具体为:基于归一化处理后的数据,采用误差曲线描述支架上表面的形貌,支架上表面z=0的误差表现为z方向上的波动,该波动描述为误差曲线沿y方向的延伸,采用最小二乘法对误差曲线离散数据进行多项式拟合,从而重构接近实际零件表面形状的连续曲线函数,实现支架上表面的逆向建模,即几何匹配层关键特征逆向建模。The reverse modeling of the key features of the geometric matching layer is carried out, specifically: based on the normalized data, an error curve is used to describe the topography of the upper surface of the bracket. The fluctuation is described as the extension of the error curve along the y direction. The least squares method is used to perform polynomial fitting on the discrete data of the error curve, so as to reconstruct the continuous curve function close to the surface shape of the actual part, and realize the inverse modeling of the upper surface of the bracket, that is, geometric matching. Reverse modeling of layer key features.
进一步的,进行位姿约束层关键特征逆向建模,具体为:基于各单元的坐标系,通过激光跟踪仪单元测量关键测量点,获取激光跟踪仪坐标系下的实测数据,结合关键测量点所在不同坐标系下的理论数据,求解出各单元在激光跟踪仪坐标系下的位姿,进而确定各单元之间的相互位置,实现位姿的逆向建模。Further, perform reverse modeling of key features of the pose constraint layer, specifically: based on the coordinate system of each unit, measure key measurement points through the laser tracker unit, obtain the measured data in the laser tracker coordinate system, and combine the location of the key measurement points. Theoretical data in different coordinate systems are used to solve the pose of each unit in the laser tracker coordinate system, and then determine the mutual position of each unit to realize the inverse modeling of the pose.
进一步的,求解出各单元在激光跟踪仪坐标系下的位姿,具体包括如下步骤:Further, solving the pose of each unit in the laser tracker coordinate system specifically includes the following steps:
①给定关键测量点集坐标的理论数据和测量数据;①Theoretical data and measurement data given the coordinates of the key measurement point set;
②采用三点法对点集进行粗配准,得到初始变换矩阵T0;②The three-point method is used for rough registration of the point set, and the initial transformation matrix T0 is obtained;
③建立目标函数,以初始变换矩阵T0为初值,采用LM算法进行迭代优化,获得变换矩阵Tk;LM算法是指Levenberg-Marquardt算法;③ Establish the objective function, take the initial transformation matrix T0 as the initial value, use the LM algorithm to iteratively optimize, and obtain the transformation matrix Tk; the LM algorithm refers to the Levenberg-Marquardt algorithm;
④基于LM算法得到的变换矩阵Tk对点集坐标的理论数据进行变换,得到新的坐标理论数据;(4) Transform the theoretical data of point set coordinates based on the transformation matrix Tk obtained by the LM algorithm to obtain new theoretical coordinate data;
⑤采用奇异值分解法对测量数据和新的坐标理论数据进行配准得到精确配准的变换矩阵TSVD;⑤Using the singular value decomposition method to register the measured data and the new coordinate theory data to obtain the accurately registered transformation matrix TSVD;
⑥计算关键测量点集坐标理论数据与测量数据间的转换矩阵Tc=TSVD·Tk,Tc即为所求位姿。⑥ Calculate the transformation matrix Tc=TSVD·Tk between the theoretical data of the key measurement point set coordinates and the measurement data, and Tc is the desired pose.
进一步的,进行变形补偿层关键特征逆向建模,包括加权位姿逆向建模和接触力引起的位姿逆向建模;Further, perform reverse modeling of key features of the deformation compensation layer, including reverse modeling of weighted pose and reverse modeling of pose caused by contact force;
进行加权位姿逆向建模,具体包括:Perform weighted pose inverse modeling, including:
①通过有限元分析导入的被测量的舱体支架的三维模型,依据实际铣削环境进行相关参数设置,对舱体支架进行受力和变形分析,得到各关键测量点的偏移矢量;①The 3D model of the measured cabin support is imported through finite element analysis, and the relevant parameters are set according to the actual milling environment, and the force and deformation of the cabin support are analyzed to obtain the offset vector of each key measurement point;
②根据各关键测量点的偏移矢量计算其偏移后的位置与原位置间的距离,进而根据该距离对各关键测量点进行权重分配,得到其权重因子;② Calculate the distance between the offset position and the original position according to the offset vector of each key measurement point, and then distribute the weight of each key measurement point according to the distance to obtain its weight factor;
③将所述目标函数中引入权重因子,采用改进的目标函数进行位姿迭代求解,进而实现变形补偿引起的加权位姿逆向建模;3. Introduce a weight factor into the objective function, and use the improved objective function to iteratively solve the pose, so as to realize the inverse modeling of the weighted pose caused by deformation compensation;
进行接触力引起的位姿逆向建模,具体包括:Perform inverse modeling of pose caused by contact force, including:
①确定移动机器人单元上安装的铣削执行器单元受到的接触力与机器人位姿之间的映射关系为F=K·X;其中,F为六维力传感器测量所得的6维广义力矢量;X为机器人位姿的6维广义变形矢量;K为6×6的笛卡尔刚度矩阵,且有:① Determine the mapping relationship between the contact force on the milling actuator unit installed on the mobile robot unit and the robot pose as F=K·X; where F is the 6-dimensional generalized force vector measured by the 6-dimensional force sensor; X is the 6-dimensional generalized deformation vector of the robot pose; K is a 6×6 Cartesian stiffness matrix, and has:
K=J -TK qJ -1 K=J -T K q J -1
其中,J为机器人雅克比矩阵,K q为关节刚度矩阵, Among them, J is the robot Jacobian matrix, K q is the joint stiffness matrix,
②进而得到机器人位姿的6维广义变形矢量X为:(2) Then the 6-dimensional generalized deformation vector X of the robot pose is obtained as:
X=J -1K qJ -TF X=J -1 K q J -T F
通过X修正机器人位姿,进而实现接触力引起的位姿逆向建模。The robot pose is corrected by X, and then the reverse modeling of the pose caused by the contact force is realized.
进一步的,进行数字孪生体模型动态重构,具体为:Further, perform dynamic reconstruction of the digital twin model, specifically:
①结合各单元划分,导入各单元的虚拟模型;①Combined with the division of each unit, import the virtual model of each unit;
②根据基于关键特征的逆向建模结果,对虚拟模型从几何匹配层、位姿约束层、变形补偿层进行信息修正,得到数字孪生体模型;②According to the reverse modeling results based on key features, correct the information of the virtual model from the geometric matching layer, the pose constraint layer, and the deformation compensation layer to obtain the digital twin model;
③随着移动机器人单元铣削加工过程的动态变化,数字孪生体模型不断更新,进而实现数字孪生体模型的动态重构。③ With the dynamic changes of the milling process of the mobile robot unit, the digital twin model is continuously updated, thereby realizing the dynamic reconstruction of the digital twin model.
本发明与现有技术相比的有益效果是:The beneficial effects of the present invention compared with the prior art are:
(1)本发明提高了数字孪生体模型构建的准确性,实时更新,保证了虚拟环境与物理环境的有效融合,为后续的孪生数据驱动的移动机器人加工过程预测、调控、优化等过程奠定基础。(1) The present invention improves the accuracy of the digital twin model construction, updates in real time, ensures the effective integration of the virtual environment and the physical environment, and lays a foundation for the subsequent twin data-driven mobile robot processing process prediction, regulation, optimization and other processes .
(2)本发明结合移动机器人铣削加工实际过程,基于现有的加工分析理论方法,以数字化的方式建立物理实体的多维、多时空尺度、多物理量的动态虚拟模型来仿真和刻画物理实体在真实环境中的属性、行为等,不仅为优化决策奠定基础,也保证了数字孪生技术的应用落地。(2) The present invention combines the actual process of milling with mobile robots, and based on the existing theoretical methods of machining analysis, establishes a multi-dimensional, multi-space-time scale, and multi-physical dynamic virtual model of the physical entity in a digital manner to simulate and describe the physical entity in the real world. The attributes and behaviors in the environment not only lay the foundation for optimal decision-making, but also ensure the application of digital twin technology.
附图说明Description of drawings
图1为本发明方法流程图;Fig. 1 is the flow chart of the method of the present invention;
图2为本发明误差曲线示意图;Fig. 2 is the error curve schematic diagram of the present invention;
图3为本发明移动机器人加工系统示意图。FIG. 3 is a schematic diagram of the mobile robot processing system of the present invention.
具体实施方式detailed description
本发明涉及一种面向移动机器人加工的数字孪生建模方法,包括如下步骤:(1)移动机器人铣削加工系统进行单元划分;(2)面向数字孪生建模的移动机器人加工过程多层次划分;(3)基于多层次划分的关键特征提取;(4)基于 物理实体的测量数据获取;(5)数据的降噪与归一化处理;(6)多层次的逆向建模方法;(7)数字孪生模型动态重构与匹配。本发明提高了数字孪生体模型构建的准确性,实时更新,保证了虚拟环境与物理环境的有效融合,为后续的孪生数据驱动的移动机器人加工过程预测、调控、优化等过程奠定基础。The present invention relates to a digital twin modeling method oriented to mobile robot processing, comprising the following steps: (1) cell division of the mobile robot milling processing system; (2) multi-level division of the mobile robot processing process oriented to digital twin modeling; ( 3) Key feature extraction based on multi-level division; (4) Measurement data acquisition based on physical entities; (5) Data noise reduction and normalization processing; (6) Multi-level inverse modeling method; (7) Digital Dynamic reconstruction and matching of twin models. The invention improves the accuracy of the digital twin body model construction, updates in real time, ensures the effective integration of the virtual environment and the physical environment, and lays a foundation for the subsequent twin data-driven mobile robot processing process prediction, regulation, optimization and other processes.
具体的,如图1所示,本发明提出一种面向移动机器人加工的数字孪生建模方法,步骤如下:Specifically, as shown in FIG. 1 , the present invention proposes a digital twin modeling method for mobile robot processing. The steps are as follows:
(1)对移动机器人铣削加工系统进行单元划分,如图3所示;(1) Divide the mobile robot milling processing system into units, as shown in Figure 3;
激光跟踪仪测量单元:包括激光跟踪仪本体、测量数据处理软件及配套辅助等,用于构建不同坐标系;Laser tracker measurement unit: including the laser tracker body, measurement data processing software and supporting aids, etc., used to construct different coordinate systems;
视觉测量单元:包括相机、镜头、光源等硬件、数据处理软件及配套辅助等,用于测量铣削平面及靶标点;Vision measurement unit: including cameras, lenses, light sources and other hardware, data processing software and supporting aids, etc., used to measure the milling plane and target points;
铣削执行器单元:包括主轴、刀具、传感器及配套辅助等,用于铣削加工执行,视觉测量单元安装其上;Milling actuator unit: including spindle, tool, sensor and supporting auxiliary, etc., used for milling process execution, on which the vision measurement unit is installed;
移动机器人单元:包括全向移动平台、机器人(安装在移动平台上)、控制柜等硬件、数控软件系统及配套辅助等,用于安装与固定铣削执行器单元,移动机器人并对铣削执行器单元的空间位姿进行调整;Mobile robot unit: including omnidirectional mobile platform, robot (installed on the mobile platform), control cabinet and other hardware, numerical control software system and supporting auxiliary, etc., used to install and fix the milling actuator unit, move the robot and adjust the milling actuator unit to adjust the spatial pose;
大型复杂构件单元:包括铝合金材质的大型舱体类构件,其舱体外围安装支架,支架上表面即为待铣削加工区域。Large-scale complex component unit: It includes large-scale cabin-type components made of aluminum alloys, and brackets are installed on the periphery of the cabin. The upper surface of the bracket is the area to be milled.
(2)基于步骤(1)划分的单元,对移动机器人铣削加工系统进行多层次关系划分;面向数字孪生建模,对移动机器人铣削加工系统进行多层次关系划分,是指将单元自身及单元与单元之间存在的关系划分为几何匹配层、位姿对齐层及变形补偿层;(2) Based on the units divided in step (1), the multi-level relationship division of the mobile robot milling processing system; for digital twin modeling, the multi-level relationship division of the mobile robot milling processing system refers to dividing the unit itself and the unit with the The relationship between units is divided into geometric matching layer, pose alignment layer and deformation compensation layer;
因为每个单元之间都存在位姿关系,移动机器人单元自身还存在位姿关系; 每个单元自身都有几何尺寸;变形有大型复杂构件单元变形、移动机器人单元变形、铣削执行单元。只是在后续建模中进行了关键特征提取,忽略了一些位姿关系、几何尺寸、变形等,简化了建模过程。Because there is a pose relationship between each unit, there is also a pose relationship between the mobile robot unit itself; each unit has its own geometric dimensions; the deformation includes the deformation of large and complex component units, the deformation of mobile robot units, and the milling execution unit. Only key feature extraction is performed in the subsequent modeling, ignoring some pose relationships, geometric dimensions, deformations, etc., which simplifies the modeling process.
几何匹配层:在虚拟环境下各单元的设计模型为理论模型,而实际单元制造过程中存在几何误差,其精度信息由公差类型、公差值、精度等级、表面粗糙度等参数决定。几何匹配层用于将各单元实际精度信息赋予虚拟模型,使得虚拟模型与物理实体在几何层面一一映射;实际精度信息包括公差类型、公差值、精度等级以及表面粗糙度;Geometric matching layer: The design model of each unit in the virtual environment is a theoretical model, but there are geometric errors in the actual unit manufacturing process, and the accuracy information is determined by parameters such as tolerance type, tolerance value, accuracy grade, and surface roughness. The geometric matching layer is used to assign the actual accuracy information of each unit to the virtual model, so that the virtual model and the physical entity are mapped one by one at the geometric level; the actual accuracy information includes tolerance type, tolerance value, accuracy grade and surface roughness;
位姿对齐层:实际各个单元自身及单元间存在相对位置关系,且随着移动机器人铣削加工,相对位置关系实时变化,位姿对齐层是基于各单元所建立的坐标系,将单元自身及单元间存在的相对位置关系用位姿进行描述,使得虚拟模型与物理实体在位姿层面一一映射;Pose alignment layer: There is actually a relative positional relationship between each unit itself and between the units, and with the milling of the mobile robot, the relative positional relationship changes in real time. The pose alignment layer is based on the coordinate system established by each unit. The relative positional relationship between the two is described by the pose, so that the virtual model and the physical entity are mapped one by one at the pose level;
变形补偿层:各单元的材料特性由材料属性、力学性能以及热处理方式等项目组成。各单元在加工过程中由于重力及产生的切削力发生变形,变形补偿层是将物理变形量赋予虚拟模型,使得虚拟模型与物理实体在变形补偿层一一映射。Deformation compensation layer: The material properties of each element are composed of material properties, mechanical properties, and heat treatment methods. Each unit is deformed due to gravity and the generated cutting force during the machining process. The deformation compensation layer assigns the physical deformation to the virtual model, so that the virtual model and the physical entity are mapped one by one in the deformation compensation layer.
(3)基于步骤(2)划分的多层次关系,确定要提取关键特征;(3) Based on the multi-level relationship divided in step (2), it is determined that key features are to be extracted;
考虑虚拟环境下模型的轻量化,减少资源占用及运算时间,基于设计模型局部修正关键特征信息,实现虚拟模型与物理实体的映射。Considering the lightweight of the model in the virtual environment, reducing the resource occupation and operation time, and locally correcting the key feature information based on the design model, the mapping between the virtual model and the physical entity is realized.
具体为:Specifically:
在几何匹配层,针对待铣削加工区域,通过视觉测量单元对大型复杂构件单元的支架上表面进行测量,获取数据拟合的平面作为关键特征;In the geometric matching layer, for the area to be milled, the upper surface of the bracket of the large and complex component unit is measured by the visual measurement unit, and the plane of the data fitting is obtained as the key feature;
在位姿约束层,针对各单元相互位置关系,在各单元坐标系下选定≥3个 数量的关键测量点,测量点理论坐标已知,且具有高刚度、可测性特点,获取数据拟合的位姿作为关键特征;各单元坐标系包括激光跟踪仪单元设计坐标系、视觉测量单元设计坐标系、铣削执行器单元设计坐标系、移动机器人单元基设计坐标系,大型复杂构件单元设计坐标系;In the pose constraint layer, according to the mutual positional relationship of each unit, ≥3 key measurement points are selected in each unit coordinate system. The theoretical coordinates of the measurement points are known, and they have the characteristics of high stiffness and measurability. The coordinate system of each unit includes the laser tracker unit design coordinate system, the visual measurement unit design coordinate system, the milling actuator unit design coordinate system, the mobile robot unit base design coordinate system, and the large complex component unit design coordinate system. Tie;
在变形补偿层,移动机器人铣削支架上表面,考虑铝合金舱体支架发生变形、导致关键测量点偏移,将变形量转换到对关键测量点补偿,获取数据拟合的位姿作为关键特征;同时考虑机器人末端受力,导致弱刚性机器人结构变形,将通过铣削执行器单元与大型复杂构件单元之间的接触力计算获取的移动机器人单元位姿作为关键特征。In the deformation compensation layer, the mobile robot mills the upper surface of the bracket, considering the deformation of the aluminum alloy cabin bracket, which leads to the deviation of the key measurement points, converts the deformation amount to compensate the key measurement points, and obtains the pose of the data fitting as the key feature; At the same time, considering the force on the end of the robot, which leads to the deformation of the weakly rigid robot structure, the pose of the mobile robot unit obtained by the calculation of the contact force between the milling actuator unit and the large and complex component unit is used as the key feature.
(4)对步骤(3)确定要提取的关键特征进行物理实体测量;具体为:(4) Perform physical entity measurement on the key features determined to be extracted in step (3); specifically:
在几何匹配层,通过视觉测量单元对大型复杂构件单元支架上表面进行测量,获得表面实测数据,表面实测数据为离散点云数据;In the geometric matching layer, the upper surface of the support of the large and complex component unit is measured by the visual measurement unit, and the measured surface data is obtained, and the measured surface data is discrete point cloud data;
在位姿约束层,通过激光跟踪仪单元测量各个单元坐标系下选定的≥3个的关键测量点,获取关键测量点的实测数据;In the pose constraint layer, the laser tracker unit is used to measure ≥3 key measurement points selected in each unit coordinate system, and the measured data of the key measurement points are obtained;
在变形补偿层,通过力学计算或有限元方法计算关键测量点偏移权重,通过激光跟踪仪单元测量上述关键测量点,获取实测数据;通过六维测力传感器测量移动机器人单元上安装的铣削执行器单元的受力,获取接触力实测数据。In the deformation compensation layer, the offset weights of key measurement points are calculated by mechanical calculation or finite element method, and the above key measurement points are measured by the laser tracker unit to obtain the measured data; the milling execution installed on the mobile robot unit is measured by the six-dimensional force sensor. The force of the device unit is obtained, and the measured data of the contact force is obtained.
(5)对步骤(4)实体测量得到的数据进行降噪与归一化处理;(5) performing noise reduction and normalization processing on the data obtained by the entity measurement in step (4);
通过不同测量设备获取不同精度、不同量级的测量数据,为方便计算且统一精度,对测量数据进行降噪与归一化处理,处理步骤包括:点云对齐、误差点剔除、滤波、精简等,修正关键特征实测精度信息。Obtain measurement data of different precision and magnitude through different measurement equipment. In order to facilitate calculation and unify the precision, the measurement data is denoised and normalized. The processing steps include: point cloud alignment, error point elimination, filtering, streamlining, etc. , to correct the measured accuracy information of key features.
(6)根据步骤(5)处理后的数据,进行关键特征的逆向建模;(6) carry out reverse modeling of key features according to the processed data in step (5);
进行关键特征的逆向建模,包括几何匹配层关键特征逆向建模、位姿约束 层关键特征逆向建模、变形补偿层关键特征逆向建模;Perform reverse modeling of key features, including reverse modeling of key features of geometric matching layer, reverse modeling of key features of pose constraint layer, and reverse modeling of key features of deformation compensation layer;
进行几何匹配层关键特征逆向建模,具体为:基于归一化处理后的数据,采用误差曲线描述支架上表面的形貌,支架上表面z=0的误差表现为z方向上的波动,该波动描述为误差曲线沿y方向的延伸,如图2所示,采用最小二乘法对误差曲线离散数据进行多项式拟合,从而重构接近实际零件表面形状的连续曲线函数,实现支架上表面的逆向建模,即几何匹配层关键特征逆向建模。The reverse modeling of the key features of the geometric matching layer is carried out, specifically: based on the normalized data, an error curve is used to describe the topography of the upper surface of the bracket. The fluctuation is described as the extension of the error curve along the y direction. As shown in Figure 2, the least squares method is used to perform polynomial fitting on the discrete data of the error curve, so as to reconstruct a continuous curve function close to the surface shape of the actual part, and realize the inversion of the upper surface of the bracket. Modeling, that is, the reverse modeling of the key features of the geometric matching layer.
记离散点云数据集合为{Q i(x i,z i)},其中i=1,2,...,n,用拟合连续函数f(x)与所有离散点差值的二范数e 2来评价拟合程度好坏,如下: Denote the discrete point cloud data set as {Q i (x i , z i )}, where i=1,2,...,n, use the two norm of the difference between the fitted continuous function f(x) and all discrete point values Count e 2 to evaluate the degree of fit, as follows:
Figure PCTCN2021104562-appb-000001
Figure PCTCN2021104562-appb-000001
若f(x)为多项式,即f(x)=a 0+a 1x+…+a m x m,当e 2取最小值时,称f(x)为离散点云的最小二乘拟合多项式。将拟合曲线与离散点的二范数平方值记为e,即 If f (x) is a polynomial, i.e., f (x) = a 0 + a 1 x + ... + a m x m, when e 2 takes a minimum value, called f (x) is the least squares fit of discrete points clouds polynomial. Denote the squared value of the fitted curve and the two-norm of the discrete points as e, that is,
Figure PCTCN2021104562-appb-000002
Figure PCTCN2021104562-appb-000002
由于e是多项式系数{a 0,a 1,…,a m}的多元函数,求e 2最小值可以通过对a k求偏导,即 Since e is the polynomial coefficients {a 0, a 1, ... , a m} polyvalent function, find the minimum value e 2 by the partial derivative of a k, i.e.,
Figure PCTCN2021104562-appb-000003
Figure PCTCN2021104562-appb-000003
Figure PCTCN2021104562-appb-000004
Figure PCTCN2021104562-appb-000004
k取0到m中正整数,上式可用矩阵形式表达,根据关键特征设计需求设置多项式阶数m,可以计算出多项式系数组合的唯一解,继而得到最接近真实线特征的几何形状。k is a positive integer from 0 to m, the above formula can be expressed in matrix form, and the polynomial order m is set according to the design requirements of key features, the unique solution of the combination of polynomial coefficients can be calculated, and then the geometric shape closest to the real line feature can be obtained.
进行位姿约束层关键特征逆向建模,具体为:基于各单元的坐标系,通过激光跟踪仪单元测量关键测量点,获取激光跟踪仪坐标系下的实测数据,结合关键测量点所在不同坐标系下的理论数据,求解出各单元在激光跟踪仪坐标系下的位姿,进而确定各单元之间的相互位置,实现位姿的逆向建模。Carry out the reverse modeling of the key features of the pose constraint layer, specifically: based on the coordinate system of each unit, measure the key measurement points through the laser tracker unit, obtain the measured data under the laser tracker coordinate system, and combine the different coordinate systems where the key measurement points are located. According to the theoretical data below, the pose of each unit in the laser tracker coordinate system is solved, and then the mutual position of each unit is determined to realize the inverse modeling of the pose.
求解出各单元在激光跟踪仪坐标系下的位姿,具体包括如下步骤:Solve the pose of each unit in the laser tracker coordinate system, which includes the following steps:
①给定关键测量点集坐标的理论数据和测量数据;①Theoretical data and measurement data given the coordinates of the key measurement point set;
②采用三点法对点集进行粗配准,得到初始变换矩阵T0;②The three-point method is used for rough registration of the point set, and the initial transformation matrix T0 is obtained;
③建立目标函数,以初始变换矩阵T0为初值,采用LM算法进行迭代优化,获得变换矩阵Tk;LM算法是指Levenberg-Marquardt算法;③ Establish the objective function, take the initial transformation matrix T0 as the initial value, use the LM algorithm to iteratively optimize, and obtain the transformation matrix Tk; the LM algorithm refers to the Levenberg-Marquardt algorithm;
④基于LM算法得到的变换矩阵Tk对点集坐标的理论数据进行变换,得到新的坐标理论数据;(4) Transform the theoretical data of point set coordinates based on the transformation matrix Tk obtained by the LM algorithm to obtain new theoretical coordinate data;
⑤采用奇异值分解法对测量数据和新的坐标理论数据进行配准得到精确配准的变换矩阵TSVD;⑤Using the singular value decomposition method to register the measured data and the new coordinate theory data to obtain the accurately registered transformation matrix TSVD;
⑥计算关键测量点集坐标理论数据与测量数据间的转换矩阵Tc=TSVD·Tk,Tc即为所求位姿。⑥ Calculate the transformation matrix Tc=TSVD·Tk between the theoretical data of the key measurement point set coordinates and the measurement data, and Tc is the desired pose.
进行变形补偿层关键特征逆向建模,包括加权位姿逆向建模和接触力引起的位姿逆向建模;Perform reverse modeling of key features of the deformation compensation layer, including reverse modeling of weighted pose and reverse modeling of pose caused by contact force;
考虑铝合金舱体支架发生变形、导致关键测量点偏移,借助有限元分析方法对铝合金舱体支架模型进行变形分析,在此基础上,对各关键测量点理论坐标引入偏移矢量权重因子,结合激光跟踪仪实测数据,采用加权位姿拟合算法进行位姿求解。进行加权位姿逆向建模,其步骤如下:Considering the deformation of the aluminum alloy cabin bracket, which leads to the deviation of key measurement points, the deformation analysis of the aluminum alloy cabin bracket model is carried out by means of the finite element analysis method. On this basis, an offset vector weight factor is introduced into the theoretical coordinates of each key measurement point. , combined with the measured data of the laser tracker, the weighted pose fitting algorithm is used to solve the pose. The weighted pose inverse modeling is performed, and the steps are as follows:
①通过有限元分析软件中导入的被测量的舱体支架的三维模型,依据实际铣削环境进行相关参数设置,对舱体支架进行受力和变形分析,得到各关键 测量点的偏移矢量;①Through the 3D model of the measured cabin support imported into the finite element analysis software, set relevant parameters according to the actual milling environment, analyze the force and deformation of the cabin support, and obtain the offset vector of each key measurement point;
②根据各关键测量点的偏移矢量计算其偏移后的位置与原位置间的距离,进而根据该距离对各关键测量点进行权重分配,得到其权重因子;② Calculate the distance between the offset position and the original position according to the offset vector of each key measurement point, and then distribute the weight of each key measurement point according to the distance to obtain its weight factor;
③将所述目标函数中引入权重因子,采用改进的目标函数进行位姿迭代求解,进而实现变形补偿引起的加权位姿逆向建模;3. Introduce a weight factor into the objective function, and use the improved objective function to iteratively solve the pose, so as to realize the inverse modeling of the weighted pose caused by deformation compensation;
进行接触力引起的位姿逆向建模,具体包括:Perform inverse modeling of pose caused by contact force, including:
考虑机器人末人结构变形,通过六维力/力矩传感器测量机器人末端受力,获取接触力实测数据。将机器人受力和机器人变形导致位姿变化量,在铣削执行器单元坐标系下,满足如下胡克定律:Considering the structural deformation of the robot's end, the force on the end of the robot is measured by a six-dimensional force/torque sensor to obtain the measured contact force data. The amount of pose change caused by the force and deformation of the robot, in the coordinate system of the milling actuator unit, satisfies the following Hooke's law:
F=K·XF=K·X
其中,F为六维力/力矩传感器测量所得的6维广义力矢量;X为6维广变形矢量;K为6×6的笛卡尔刚度矩阵。由于末端刚度矩阵K与关节刚度矩阵K q之间的映射关系为 Among them, F is the 6-dimensional generalized force vector measured by the 6-dimensional force/torque sensor; X is the 6-dimensional broad deformation vector; K is the 6×6 Cartesian stiffness matrix. Since the mapping relationship between the end stiffness matrix K and the joint stiffness matrix K q is
K=J -TK qJ -1 K=J -T K q J -1
其中,J为机器人雅克比矩阵,且关节刚度矩阵K q标定后已知。因此,可将满足的胡克定律改为: Among them, J is the Jacobian matrix of the robot, and the joint stiffness matrix K q is known after calibration. Therefore, the satisfied Hooke's law can be changed to:
X=J -1K qJ -TF X=J -1 K q J -T F
即可求解6维广变形矢量X,进而修正机器人位姿,进而实现变形补偿引起的位姿逆向建模。The 6-dimensional wide deformation vector X can be solved, and then the robot pose can be corrected, so as to realize the reverse modeling of the pose caused by the deformation compensation.
(7)进行数字孪生体模型动态重构,完成面向移动机器人加工的数字孪生建模。在虚拟环境下,动态重构数字孪生体模型,以支撑移动机器人铣削加工过程高真实度仿真预测、系统优化、决策调控等功能,其步骤如下:(7) Dynamically reconstruct the digital twin model to complete the digital twin modeling for mobile robot processing. In the virtual environment, the digital twin model is dynamically reconstructed to support the functions of high-fidelity simulation prediction, system optimization, and decision-making control of the milling process of the mobile robot. The steps are as follows:
①结合各单元划分,导入各单元的虚拟模型;①Combined with the division of each unit, import the virtual model of each unit;
②根据基于关键特征的逆向建模结果,对虚拟模型从几何匹配层、位姿约束层、变形补偿层进行信息修正,得到数字孪生体模型;②According to the reverse modeling results based on key features, correct the information of the virtual model from the geometric matching layer, the pose constraint layer, and the deformation compensation layer to obtain the digital twin model;
③随着移动机器人单元铣削加工过程的动态变化,数字孪生体模型不断更新,进而实现数字孪生体模型的动态重构。③ With the dynamic changes of the milling process of the mobile robot unit, the digital twin model is continuously updated, thereby realizing the dynamic reconstruction of the digital twin model.
本发明在考虑模型轻量化,减少资源占用及运算时间基础上,以数字化的方式建立物理实体的多维、多时空尺度、多物理量的动态虚拟模型来仿真和刻画物理实体在真实环境中的属性、行为等,为孪生数据驱动的移动机器人铣削加工过程预测、调控、优化、决策等奠定基础。On the basis of considering model lightweight, reducing resource occupation and computing time, the invention establishes a multi-dimensional, multi-space-time scale, and multi-physical dynamic virtual model of the physical entity in a digital manner to simulate and describe the properties of the physical entity in the real environment, Behaviors, etc., lay the foundation for the prediction, regulation, optimization, and decision-making of the twin data-driven mobile robot milling process.

Claims (10)

  1. 一种面向移动机器人加工的数字孪生建模方法,其特征在于步骤如下:A digital twin modeling method for mobile robot processing is characterized in that the steps are as follows:
    (1)对移动机器人铣削加工系统进行单元划分;(1) Unit division of the mobile robot milling processing system;
    将移动机器人铣削加工系统进行单元划分,具体划分为:激光跟踪仪测量单元、移动机器人单元、铣削执行器单元、视觉测量单元、大型复杂构件单元;The mobile robot milling processing system is divided into units, which are specifically divided into: laser tracker measurement unit, mobile robot unit, milling actuator unit, visual measurement unit, and large and complex component unit;
    (2)基于步骤(1)划分的单元,对移动机器人铣削加工系统进行多层次关系划分;(2) Based on the units divided in step (1), a multi-level relationship is divided for the mobile robot milling processing system;
    (3)基于步骤(2)划分的多层次关系,确定要提取关键特征;(3) Based on the multi-level relationship divided in step (2), it is determined that key features are to be extracted;
    (4)对步骤(3)确定要提取的关键特征进行物理实体测量;(4) carry out physical entity measurement to the key features determined to be extracted in step (3);
    (5)对步骤(4)实体测量得到的数据进行降噪与归一化处理;(5) performing noise reduction and normalization processing on the data obtained by the entity measurement in step (4);
    (6)根据步骤(5)处理后的数据,进行关键特征的逆向建模;(6) carry out reverse modeling of key features according to the processed data in step (5);
    (7)进行数字孪生体模型动态重构,完成面向移动机器人加工的数字孪生建模。(7) Dynamically reconstruct the digital twin model to complete the digital twin modeling for mobile robot processing.
  2. 根据权利要求1所述的一种面向移动机器人加工的数字孪生建模方法,其特征在于:所述激光跟踪仪测量单元用于构建不同坐标系,采用激光跟踪仪实现;A digital twin modeling method for mobile robot processing according to claim 1, characterized in that: the laser tracker measuring unit is used to construct different coordinate systems, and is realized by a laser tracker;
    视觉测量单元用于测量铣削平面及靶标点;The vision measuring unit is used to measure the milling plane and target point;
    铣削执行器单元用于铣削加工的执行,视觉测量单元安装铣削执行器单元上面;The milling actuator unit is used for the execution of milling processing, and the vision measurement unit is installed on the milling actuator unit;
    移动机器人单元:包括全向移动平台以及该移动平台上安装的移动机器人,铣削执行器单元安装在所述移动机器人上,移动机器人对铣削执行器单元的空间位姿进行调整;Mobile robot unit: including an omnidirectional mobile platform and a mobile robot installed on the mobile platform, the milling actuator unit is installed on the mobile robot, and the mobile robot adjusts the spatial pose of the milling actuator unit;
    大型复杂构件单元:是指舱体类构件,舱体外围安装支架,支架上表面即为待铣削加工区域。Large-scale complex component unit: refers to the cabin component, the bracket is installed on the periphery of the cabin, and the upper surface of the bracket is the area to be milled.
  3. 根据权利要求1所述的一种面向移动机器人加工的数字孪生建模方法,其特征在于:对移动机器人铣削加工系统进行多层次关系划分,是指将单元之间存在的关系划分为几何匹配层、位姿对齐层及变形补偿层;A digital twin modeling method for mobile robot processing according to claim 1, characterized in that: the multi-level relationship division of the mobile robot milling processing system means that the existing relationship between units is divided into geometric matching layers , pose alignment layer and deformation compensation layer;
    几何匹配层:几何匹配层用于将各单元实际精度信息赋予虚拟模型,使得虚拟模型与物理实体在几何层面一一映射;实际精度信息包括公差类型、公差值、精度等级以及表面粗糙度;Geometric matching layer: The geometric matching layer is used to assign the actual accuracy information of each unit to the virtual model, so that the virtual model and the physical entity are mapped one by one at the geometric level; the actual accuracy information includes tolerance type, tolerance value, accuracy grade and surface roughness;
    位姿对齐层:实际各个单元自身及单元间存在相对位置关系,且随着移动机器人铣削加工,相对位置关系发生变化,位姿对齐层是基于各单元所建立的坐标系,将单元自身及单元间存在的相对位置关系用位姿进行描述,使得虚拟模型与物理实体在位姿层面一一映射;Pose alignment layer: There is actually a relative positional relationship between each unit itself and the units, and with the milling of the mobile robot, the relative positional relationship changes. The pose alignment layer is based on the coordinate system established by each unit. The relative positional relationship between the two is described by the pose, so that the virtual model and the physical entity are mapped one by one at the pose level;
    变形补偿层:各单元在加工过程中由于自重及产生的切削力发生变形,变形补偿层是将物理变形量赋予虚拟模型,使得虚拟模型与物理实体在变形补偿层一一映射。Deformation compensation layer: Each unit is deformed due to its own weight and the generated cutting force during the processing. The deformation compensation layer assigns the physical deformation to the virtual model, so that the virtual model and the physical entity are mapped one by one in the deformation compensation layer.
  4. 根据权利要求1所述的一种面向移动机器人加工的数字孪生建模方法,其特征在于:所述步骤(3)确定要提取关键特征,具体为:A digital twin modeling method for mobile robot processing according to claim 1, characterized in that: the step (3) determines to extract key features, specifically:
    在几何匹配层,针对待铣削加工区域,通过视觉测量单元对大型复杂构件单元的支架上表面进行测量,获取数据拟合的平面作为关键特征;In the geometric matching layer, for the area to be milled, the upper surface of the bracket of the large and complex component unit is measured by the visual measurement unit, and the plane of the data fitting is obtained as the key feature;
    在位姿约束层,针对各单元相互位置关系,在各单元坐标系下选定≥3个数量的关键测量点,获取数据拟合的位姿作为关键特征;In the pose constraint layer, according to the mutual position relationship of each unit, ≥3 key measurement points are selected in each unit coordinate system, and the pose of the data fitting is obtained as the key feature;
    各单元坐标系包括激光跟踪仪单元设计坐标系、视觉测量单元设计坐标系、铣削执行器单元设计坐标系、移动机器人单元基设计坐标系,大型复杂构件单 元设计坐标系;Each unit coordinate system includes the laser tracker unit design coordinate system, the visual measurement unit design coordinate system, the milling actuator unit design coordinate system, the mobile robot unit base design coordinate system, and the large and complex component unit design coordinate system;
    在变形补偿层,移动机器人铣削支架上表面,将变形量转换到对关键测量点补偿,获取数据拟合的位姿作为关键特征;同时将通过铣削执行器单元与大型复杂构件单元之间的接触力计算获取的移动机器人单元位姿作为关键特征。In the deformation compensation layer, the mobile robot mills the upper surface of the bracket, converts the deformation amount to compensate the key measurement points, and obtains the pose of the data fitting as the key feature; at the same time, the contact between the milling actuator unit and the large and complex component unit is passed. The pose of the mobile robot unit obtained by force calculation is used as the key feature.
  5. 根据权利要求1所述的一种面向移动机器人加工的数字孪生建模方法,其特征在于:所述步骤(4)对确定要提取的关键特征进行物理实体测量,具体为:A digital twin modeling method for mobile robot processing according to claim 1, characterized in that: the step (4) is to perform physical entity measurement on the key features to be extracted, specifically:
    在几何匹配层,通过视觉测量单元对大型复杂构件单元支架上表面进行测量,获得表面实测数据,表面实测数据为离散点云数据;In the geometric matching layer, the upper surface of the support of the large and complex component unit is measured by the visual measurement unit, and the measured surface data is obtained, and the measured surface data is discrete point cloud data;
    在位姿约束层,通过激光跟踪仪单元测量各个单元坐标系下选定的≥3个的关键测量点,获取关键测量点的实测数据;In the pose constraint layer, the laser tracker unit is used to measure ≥3 key measurement points selected in each unit coordinate system, and the measured data of the key measurement points are obtained;
    在变形补偿层,通过力学计算或有限元方法计算关键测量点偏移权重,通过激光跟踪仪单元测量上述关键测量点,获取实测数据;通过六维测力传感器测量移动机器人单元上安装的铣削执行器单元的受力,获取接触力实测数据。In the deformation compensation layer, the offset weights of key measurement points are calculated by mechanical calculation or finite element method, and the above key measurement points are measured by the laser tracker unit to obtain the measured data; the milling execution installed on the mobile robot unit is measured by the six-dimensional force sensor. The force of the device unit is obtained, and the measured data of the contact force is obtained.
  6. 根据权利要求1所述的一种面向移动机器人加工的数字孪生建模方法,其特征在于:所述步骤(6)进行关键特征的逆向建模,包括几何匹配层关键特征逆向建模、位姿约束层关键特征逆向建模、变形补偿层关键特征逆向建模;A digital twin modeling method for mobile robot processing according to claim 1, characterized in that: in the step (6), reverse modeling of key features is performed, including reverse modeling of geometric matching layer key features, pose Reverse modeling of the key features of the constraint layer and reverse modeling of the key features of the deformation compensation layer;
    进行几何匹配层关键特征逆向建模,具体为:基于归一化处理后的数据,采用误差曲线描述支架上表面的形貌,支架上表面z=0的误差表现为z方向上的波动,该波动描述为误差曲线沿y方向的延伸,采用最小二乘法对误差曲线离散数据进行多项式拟合,从而重构接近实际零件表面形状的连续曲线函数,实现支架上表面的逆向建模,即几何匹配层关键特征逆向建模。The reverse modeling of the key features of the geometric matching layer is carried out, specifically: based on the normalized data, an error curve is used to describe the topography of the upper surface of the bracket. The fluctuation is described as the extension of the error curve along the y direction. The least squares method is used to perform polynomial fitting on the discrete data of the error curve, so as to reconstruct the continuous curve function close to the surface shape of the actual part, and realize the inverse modeling of the upper surface of the bracket, that is, geometric matching. Reverse modeling of layer key features.
  7. 根据权利要求6所述的一种面向移动机器人加工的数字孪生建模方法, 其特征在于:进行位姿约束层关键特征逆向建模,具体为:基于各单元的坐标系,通过激光跟踪仪单元测量关键测量点,获取激光跟踪仪坐标系下的实测数据,结合关键测量点所在不同坐标系下的理论数据,求解出各单元在激光跟踪仪坐标系下的位姿,进而确定各单元之间的相互位置,实现位姿的逆向建模。A digital twin modeling method for mobile robot processing according to claim 6, characterized in that: performing reverse modeling of key features of the pose constraint layer, specifically: based on the coordinate system of each unit, through the laser tracker unit Measure the key measurement points, obtain the measured data in the laser tracker coordinate system, and combine the theoretical data in different coordinate systems where the key measurement points are located to solve the pose of each unit in the laser tracker coordinate system, and then determine the relationship between the units. The mutual position of , realizes the inverse modeling of pose.
  8. 根据权利要求7所述的一种面向移动机器人加工的数字孪生建模方法,其特征在于:求解出各单元在激光跟踪仪坐标系下的位姿,具体包括如下步骤:A digital twin modeling method for mobile robot processing according to claim 7, characterized in that: solving the pose of each unit in the laser tracker coordinate system specifically includes the following steps:
    ①给定关键测量点集坐标的理论数据和测量数据;①Theoretical data and measurement data given the coordinates of the key measurement point set;
    ②采用三点法对点集进行粗配准,得到初始变换矩阵T0;②The three-point method is used for rough registration of the point set, and the initial transformation matrix T0 is obtained;
    ③建立目标函数,以初始变换矩阵T0为初值,采用LM算法进行迭代优化,获得变换矩阵Tk;③ Establish the objective function, take the initial transformation matrix T0 as the initial value, use the LM algorithm to iteratively optimize, and obtain the transformation matrix Tk;
    ④基于LM算法得到的变换矩阵Tk对点集坐标的理论数据进行变换,得到新的坐标理论数据;(4) Transform the theoretical data of point set coordinates based on the transformation matrix Tk obtained by the LM algorithm to obtain new theoretical coordinate data;
    ⑤采用奇异值分解法对测量数据和新的坐标理论数据进行配准得到精确配准的变换矩阵TSVD;⑤Using the singular value decomposition method to register the measured data and the new coordinate theory data to obtain the accurately registered transformation matrix TSVD;
    ⑥计算关键测量点集坐标理论数据与测量数据间的转换矩阵Tc=TSVD·Tk,Tc即为所求位姿。⑥ Calculate the transformation matrix Tc=TSVD·Tk between the theoretical data of the key measurement point set coordinates and the measurement data, and Tc is the desired pose.
  9. 根据权利要求8所述的一种面向移动机器人加工的数字孪生建模方法,其特征在于:进行变形补偿层关键特征逆向建模,包括加权位姿逆向建模和接触力引起的位姿逆向建模;A digital twin modeling method for mobile robot processing according to claim 8, characterized in that: performing reverse modeling of key features of the deformation compensation layer, including weighted pose reverse modeling and contact force-induced pose reverse modeling mold;
    进行加权位姿逆向建模,具体包括:Perform weighted pose inverse modeling, including:
    ①通过有限元分析导入的被测量的舱体支架的三维模型,依据实际铣削环境进行相关参数设置,对舱体支架进行受力和变形分析,得到各关键测量点的偏移矢量;① The 3D model of the measured cabin support is imported through finite element analysis, and the relevant parameters are set according to the actual milling environment, and the force and deformation of the cabin support are analyzed to obtain the offset vector of each key measurement point;
    ②根据各关键测量点的偏移矢量计算其偏移后的位置与原位置间的距离,进而根据该距离对各关键测量点进行权重分配,得到其权重因子;② Calculate the distance between the offset position and the original position according to the offset vector of each key measurement point, and then distribute the weight of each key measurement point according to the distance to obtain its weight factor;
    ③将所述目标函数中引入权重因子,采用改进的目标函数进行位姿迭代求解,进而实现变形补偿引起的加权位姿逆向建模;3. Introduce a weight factor into the objective function, and use the improved objective function to iteratively solve the pose, so as to realize the inverse modeling of the weighted pose caused by deformation compensation;
    进行接触力引起的位姿逆向建模,具体包括:Perform inverse modeling of pose caused by contact force, including:
    ①确定移动机器人单元上安装的铣削执行器单元受到的接触力与机器人位姿之间的映射关系为F=K·X;其中,F为六维力传感器测量所得的6维广义力矢量;X为机器人位姿的6维广义变形矢量;K为6×6的笛卡尔刚度矩阵,且有:① Determine the mapping relationship between the contact force on the milling actuator unit installed on the mobile robot unit and the robot pose as F=K·X; where F is the 6-dimensional generalized force vector measured by the 6-dimensional force sensor; X is the 6-dimensional generalized deformation vector of the robot pose; K is a 6×6 Cartesian stiffness matrix, and has:
    K=J -TK qJ -1 K=J -T K q J -1
    其中,J为机器人雅克比矩阵,K q为关节刚度矩阵, Among them, J is the robot Jacobian matrix, K q is the joint stiffness matrix,
    ②进而得到机器人位姿的6维广义变形矢量X为:②Then the 6-dimensional generalized deformation vector X of the robot pose is obtained as:
    X=J -1K qJ -TF X=J -1 K q J -T F
    通过X修正机器人位姿,进而实现接触力引起的位姿逆向建模。The robot pose is corrected by X, and then the reverse modeling of the pose caused by the contact force is realized.
  10. 据权利要求1所述的一种面向移动机器人加工的数字孪生建模方法,其特征在于:进行数字孪生体模型动态重构,具体为:A digital twin modeling method for mobile robot processing according to claim 1, characterized in that: performing dynamic reconstruction of the digital twin model, specifically:
    ①结合各单元划分,导入各单元的虚拟模型;①Combined with the division of each unit, import the virtual model of each unit;
    ②根据关键特征的逆向建模结果,对虚拟模型从几何匹配层、位姿约束层、变形补偿层进行信息修正,得到数字孪生体模型;②According to the reverse modeling results of key features, the virtual model is corrected from the geometric matching layer, the pose constraint layer, and the deformation compensation layer to obtain the digital twin model;
    ③随着移动机器人单元铣削加工过程的动态变化,数字孪生体模型不断更新,进而实现数字孪生体模型的动态重构。③ With the dynamic changes of the milling process of the mobile robot unit, the digital twin model is continuously updated, thereby realizing the dynamic reconstruction of the digital twin model.
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