WO2013149429A1 - Design optimization method for serial robot structure - Google Patents

Design optimization method for serial robot structure Download PDF

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Publication number
WO2013149429A1
WO2013149429A1 PCT/CN2012/076205 CN2012076205W WO2013149429A1 WO 2013149429 A1 WO2013149429 A1 WO 2013149429A1 CN 2012076205 W CN2012076205 W CN 2012076205W WO 2013149429 A1 WO2013149429 A1 WO 2013149429A1
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robot
design
finite element
analysis
frequency
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PCT/CN2012/076205
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French (fr)
Chinese (zh)
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王太勇
王润
刘振忠
丁彦玉
邵明堃
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天津大学
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • G06F30/23Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2113/00Details relating to the application field
    • G06F2113/26Composites

Definitions

  • the invention relates to a structural design of a robot.
  • it relates to a structural optimization design method for tandem robots using finite element and modal analysis robot structures.
  • the current robot structure optimization mainly has the following problems:
  • the technical problem to be solved by the present invention is to provide an efficient and feasible serial structure design optimization method combining finite element analysis and modal analysis.
  • a serial robot structure design optimization method comprising the following steps: (1) dividing the structure of the robot into a plurality of modules according to the degree of freedom and the transmission structure;
  • step (3) determine whether the respective modules of the robot structure satisfy the requirement of rigidity, if the direct entry step (6) is satisfied, if not, proceed to step (5) for redesign;
  • step (3) if there is a place where only partial modification is needed, the design is returned to step (3) and then analyzed again using the finite element software simulation; if there is a need for the overall modification, return to step (2);
  • step (7) Analyze the array and frequency. If there is a requirement that does not meet the frequency and formation requirements, return to step (5) for redesign. If it is satisfied, the design is completed.
  • the plurality of modules in the step (1) include: a base, a base, a turntable, a swing arm, an arm and a joint top.
  • step (3) includes the following three steps:
  • step b) Introduce the angular velocity change value obtained in step a) into the simulation software motion, and set the constraints, contact and gravity in the simulation software motion to simulate the realistic environment, thereby generating the force of each component during the working process;
  • the modal analysis is performed.
  • the frequency example is generated in the finite element software simulation, and the natural frequency and formation of the robot are obtained, and the robot structure is obtained from the formation and the natural frequency. Requires the need for improvement and redesign.
  • the serial robot structural design optimization method of the invention replaces the traditional empirical method and the simple strength checking method by using the finite element and modal analysis robot structure, thereby greatly improving the analysis accuracy.
  • the invention first optimizes the various components of the robot to achieve the strength requirement at a minimum cost, and then performs modal analysis on the whole machine, and the rigidity of each transmission joint of the robot can be seen through the formation. This not only achieves the strength of the various components of the robot structure, but also meets the stiffness requirements of the transmission joints, so that the robot structure is optimized.
  • the invention achieves the strength and rigidity requirements of the robot by finite element and modal analysis of the robot structure, minimum consumption of raw materials and costs.
  • FIG. 1 is a schematic diagram and a flow chart for optimizing a structural design of a serial robot according to the present invention
  • Figure 2 is an effect diagram of analyzing the stress results by the method of the present invention
  • 3 is an effect diagram of analyzing a robot's first six-order modal array obtained by the method of the present invention, wherein (a), (b), (c), (d), (e), (f) respectively correspond to the robot front 6th-order formation.
  • the method for optimizing the structural design of the serial robot of the present invention comprises the following steps:
  • the structure of the robot is divided into multiple modules according to the degree of freedom and the transmission structure, including six modules: base, base, turntable, swing arm, arm and joint top;
  • step (3) Perform a finite element analysis on the robot structure of the first design in step (2), and optimize the structure by the requirements of the strength, rigidity and natural frequency of the robot; the finite element analysis described above includes the following three steps:
  • step b) Introduce the angular velocity change value obtained in step a) into the simulation software motion, and set the constraints, contact and gravity in the simulation software motion to simulate the real environment, so as to generate the force of each component during the working process;
  • step (3) determine whether the respective modules of the robot structure satisfy the requirement of rigidity, if the direct entry step (6) is satisfied, if not, proceed to step (5) for redesign;
  • step (3) is returned again using the finite element software simulation; if there is a need for the overall modification, return to step (2);
  • the frequency example is generated in the finite element software simulation, and the natural frequency and formation of the robot are obtained. From the formation and the natural frequency, the robot structure needs to be improved. Part of the redesign.
  • step (7) Analyze the array and frequency. If there is a requirement that does not meet the frequency and formation requirements, return to step (5) for redesign. If it is satisfied, the design is completed.
  • the robot structure is divided into six modules: base, base, turntable, swing arm, arm and joint top. Perform the initial design of the module structure, initially determine the shape, thickness and transmission of each module Way of moving.
  • the motion simulation software after selecting the motion example, add six motors of the six-degree-of-freedom series robot, set the rotation direction, and use the interpolation method to import the angular velocity values planned by matlab using the interpolation method to set the gravitational value of the whole environment. And direction to simulate the gravity field in the real environment, adding contact constraints to avoid the collision of robot parts during the movement.
  • the force of each component can be listed as a chart. Table 1 below shows the force of the main components of the robot measured by simulation.
  • the finite element analysis is performed on the six main components. Taking the turntable as an example, the constraints and the direction of the added force are defined according to the actual situation. Draw a grid to add mesh constraints in local areas.
  • Figure 2 is an effect diagram of the analysis of the stress results. From the figure, it can be seen that the stress at the upper edge of the ear is the maximum (605800. 4N/M ⁇ 2). Exceeding the material strength, it can be increased by thickening and reinforcement. Strength, while reducing the thickness at a safer place to save material. The other components are optimized in the same way.
  • Table 2 Grid parameters Since the actual analysis object is infinite dimensional, its mode has infinite order, but only the first few modes are dominant for the motion, so the first few modes are calculated according to the needs.
  • the results of the frequency analysis are shown in Table 3 below, and the arrays of the first 6 stages of the robot correspond to the a to f diagrams in Fig. 3, respectively.
  • Table 3 The first 6 natural frequencies of the robot

Abstract

Disclosed is a design optimization method for a serial robot structure, including: dividing the structure of a robot into multiple modules according to the number of degrees of freedom and a transmission structure; initially designing each of the modules, i.e. primarily determining the shape, thickness and transmission mode of the module; carrying out finite element analysis for the initially designed robot structure, and optimizing the structure through the requirements of the strength, rigidity and natural frequency of the robot; judging whether each module of the robot structure satisfies the requirement of rigidity, if satisfied, continuing, otherwise redesigning same; after performing complete machine simplification for the robot, carrying out modal analysis; and analyzing the formation and frequency, if there is a place not satisfying the requirements of frequency and formation, redesigning same, and if satisfied, completing the design. The present invention adopts finite element and modal analysis for a robot structure to substitute for the conventional empirical method and simple strength checking method, so as to greatly improve the analysis accuracy. By the finite element and modal analysis for the robot structure, the requirements of strength and rigidity of the robot can be met with the minimum consumption of raw materials and cost.

Description

串联机器人结构设计优化方法 技术领域  Serial robot structure design optimization method
本发明涉及一种机器人结构设计。 特别是涉及一种采用有限元和模态分析机器人结构 的串联机器人结构设计优化方法。 背景技术  The invention relates to a structural design of a robot. In particular, it relates to a structural optimization design method for tandem robots using finite element and modal analysis robot structures. Background technique
近年来, 由于人力成本不断上升, 很多企业都在寻求使用工业机器人来代替人工, 同 时, 很多人类无法完成工作的行业和危险性较高的行业都需要机器人来代替人工来完成。 机器人的结构不仅会影响到机器人的运动学和动力学的特性, 甚至还会影响到机器人的控 制方面的特性, 因此, 机器人的结构设计和优化问题尤为重要, 结构优化的目标无外乎是 用最低的成本达到设计的要求。 由于工业机器人的工作环境较为恶劣和复杂, 振动和噪声 的影响不能忽略不计, 因此串联机器人的结构不仅仅要满足自身强度的要求, 还要考虑其 共振、 疲劳等因素。 可以通过了解机器人的固有频率和阵型, 来避免机器人工作中因共振 因素造成的不必要的损失。  In recent years, due to rising labor costs, many companies are seeking to use industrial robots instead of labor. At the same time, many industries and high-risk industries that humans cannot do work require robots instead of labor. The structure of the robot not only affects the kinematics and dynamics of the robot, but also affects the control characteristics of the robot. Therefore, the structural design and optimization of the robot is particularly important. The goal of structural optimization is nothing more than The lowest cost meets the design requirements. Since the working environment of industrial robots is relatively harsh and complicated, the effects of vibration and noise cannot be ignored. Therefore, the structure of the tandem robot must not only meet the requirements of its own strength, but also its resonance and fatigue. By knowing the natural frequency and formation of the robot, you can avoid unnecessary losses caused by resonance factors in the robot's work.
目前的机器人结构优化主要存在以下的问题:  The current robot structure optimization mainly has the following problems:
1、 采用传统的材料力学分析方法, 通过简化模型和凭借经验公式来优化模型, 虽然 这种方法实践证明具有一定的可靠性, 但是有时忽略了现实中很多重要的条件, 不能全面 的反映应力状态。  1. Using traditional material mechanics analysis methods, by simplifying the model and relying on empirical formulas to optimize the model, although this method has proved to have certain reliability, sometimes it ignores many important conditions in reality and cannot fully reflect the stress state. .
2、 借助优化算法, 建立目标函数, 设定约束条件, 通过算法的计算产生最优的解集, 这种方式多为是理论上最优解, 现实中往往难以达到。  2. With the optimization algorithm, the objective function is established, the constraint condition is set, and the optimal solution set is generated by the calculation of the algorithm. This method is mostly a theoretically optimal solution, which is often difficult to achieve in reality.
3、 利用有限元软件时, 对网络划分的依赖性较高, 优化的精度取决于网格的稀疏度 及网格分布的优劣程度。 发明内容  3. When using finite element software, the dependence on network partitioning is high. The accuracy of optimization depends on the sparseness of the grid and the degree of mesh distribution. Summary of the invention
本发明所要解决的技术问题是, 提供一种结合有限元分析和模态分析的高效、 可行的 串联机器人结构设计优化方法。  The technical problem to be solved by the present invention is to provide an efficient and feasible serial structure design optimization method combining finite element analysis and modal analysis.
本发明所采用的技术方案是: 一种串联机器人结构设计优化方法, 包括如下步骤: ( 1 ) 将机器人的结构根据自由度数和传动结构分为多个模块;  The technical solution adopted by the present invention is: A serial robot structure design optimization method, comprising the following steps: (1) dividing the structure of the robot into a plurality of modules according to the degree of freedom and the transmission structure;
( 2 ) 对各个模块进行初次设计, 即初步确定模块的形状、 厚度和传动方式;  (2) Initial design of each module, that is, preliminary determination of the shape, thickness and transmission mode of the module;
( 3) 对步骤 (2) 初次设计的机器人结构进行有限元分析, 通过该机器人的强度、 刚 度和固有频率的要求来优化结构; (3) Perform finite element analysis on the robot structure designed for the first step (2), through the strength of the robot, just Degree and natural frequency requirements to optimize the structure;
( 4)针对步骤(3 )中的分析结果, 判断机器人结构的各个模块是否满足刚度的需要, 如果满足直接进入步骤 (6 ) 中, 若不满足则进入步骤 (5 ) 中进行再次设计;  (4) For the analysis result in step (3), determine whether the respective modules of the robot structure satisfy the requirement of rigidity, if the direct entry step (6) is satisfied, if not, proceed to step (5) for redesign;
( 5 ) 在再次设计中, 如果有只需要局部修改的地方修改设计后返回步骤 (3 ) 的再次 利用有限元软件 simulation进行分析中; 如果有需要整体修改的返回到步骤 (2 ) 中; (5) In the redesign, if there is a place where only partial modification is needed, the design is returned to step (3) and then analyzed again using the finite element software simulation; if there is a need for the overall modification, return to step (2);
( 6 ) 对机器人进行整机简化后, 进行模态分析; (6) After the machine is simplified, the modal analysis is performed;
( 7 ) 对阵型和频率进行分析, 有不满足频率和阵型要求的地方, 返回到步骤 (5 ) 进 行再设计, 若满足, 则设计完成。  (7) Analyze the array and frequency. If there is a requirement that does not meet the frequency and formation requirements, return to step (5) for redesign. If it is satisfied, the design is completed.
步骤 (1 ) 所述的多个模块包括有: 底座、 基座、 转台、 摆臂、 小臂和关节顶这六个 模块。  The plurality of modules in the step (1) include: a base, a base, a turntable, a swing arm, an arm and a joint top.
步骤 (3 ) 所述的进行有限元分析包括如下 3步:  The finite element analysis described in step (3) includes the following three steps:
a) 利用轨迹优化求出机器人从始点到终点的运动轨迹, 即机器人运动过程中各个关 节的角速度变化值, 将求得的数值保存为 txt格式存储起来;  a) Using the trajectory optimization to find the trajectory of the robot from the start point to the end point, that is, the angular velocity change value of each joint during the movement of the robot, and save the obtained value in txt format for storage;
b )将 a)步中求出的角速度变化值导入到仿真软件 motion中, 在仿真软件 motion中 设置约束、 接触和引力来模拟现实的环境, 从而生成各个部件在工作过程受力情况;  b) Introduce the angular velocity change value obtained in step a) into the simulation software motion, and set the constraints, contact and gravity in the simulation software motion to simulate the realistic environment, thereby generating the force of each component during the working process;
c ) 利用有限元软件 si皿 lation进行分析, 设定约束、 添加力和划分网格, 运行出结 果, 通过观察分析结果的应力值, 得到部件刚度强度分布的情况。  c) Analyze the finite element software si dish lation, set the constraint, add force and mesh, run the result, and observe the stress value of the analysis result to obtain the stiffness intensity distribution of the component.
步骤(6 )所述的对机器人进行整机简化后,进行模态分析是,在有限元软件 simulation 中生成频率算例, 求出机器人的固有频率和阵型, 从阵型和固有频率得出机器人结构中需 要需改进的部分, 进行再设计。  After the simplification of the whole machine is performed in step (6), the modal analysis is performed. The frequency example is generated in the finite element software simulation, and the natural frequency and formation of the robot are obtained, and the robot structure is obtained from the formation and the natural frequency. Requires the need for improvement and redesign.
本发明的串联机器人结构设计优化方法, 采用有限元和模态分析机器人结构取代传统 的经验方法和单纯的强度校核方法, 大大的提高了分析的准确性。 本发明先是对机器人的 各个部件的进行优化, 使其以最小的成本达到强度的要求, 然后对整机进行模态分析, 通 过阵型可以看到机器人各个传动关节的刚度的境况。 这样既达到了机器人结构各部件的强 度, 又达到了传动关节的刚度要求, 使机器人结构达到最优化。 本发明通过对机器人结构 有限元和模态分析, 原材料和成本的最小消耗来达到机器人的强度和刚度的要求。 附图说明  The serial robot structural design optimization method of the invention replaces the traditional empirical method and the simple strength checking method by using the finite element and modal analysis robot structure, thereby greatly improving the analysis accuracy. The invention first optimizes the various components of the robot to achieve the strength requirement at a minimum cost, and then performs modal analysis on the whole machine, and the rigidity of each transmission joint of the robot can be seen through the formation. This not only achieves the strength of the various components of the robot structure, but also meets the stiffness requirements of the transmission joints, so that the robot structure is optimized. The invention achieves the strength and rigidity requirements of the robot by finite element and modal analysis of the robot structure, minimum consumption of raw materials and costs. DRAWINGS
图 1是本发明串联机器人结构设计优化方法和流程图;  1 is a schematic diagram and a flow chart for optimizing a structural design of a serial robot according to the present invention;
图 2是采用本发明的方法分析应力结果的效果图; 图 3是采用本发明的方法分析机器人得到的机器人前六阶模态阵型的效果图 其中 (a)、 (b)、 (c)、 (d)、 (e)、 (f) 分别对应机器人前 6阶的阵型。 具体实施方式 Figure 2 is an effect diagram of analyzing the stress results by the method of the present invention; 3 is an effect diagram of analyzing a robot's first six-order modal array obtained by the method of the present invention, wherein (a), (b), (c), (d), (e), (f) respectively correspond to the robot front 6th-order formation. detailed description
下面结合实施例和附图对本发明的串联机器人结构设计优化方法做出详细说明。  The serial robot structure design optimization method of the present invention will be described in detail below with reference to the embodiments and the accompanying drawings.
如图 1所示, 本发明的串联机器人结构设计优化方法, 包括如下步骤:  As shown in FIG. 1, the method for optimizing the structural design of the serial robot of the present invention comprises the following steps:
(1) 将机器人的结构根据自由度数和传动结构分为多个模块, 包括有底座、 基座、 转台、 摆臂、 小臂和关节顶六个模块;  (1) The structure of the robot is divided into multiple modules according to the degree of freedom and the transmission structure, including six modules: base, base, turntable, swing arm, arm and joint top;
(2) 对各个模块进行初次设计, 即初步确定模块的形状、 厚度和传动方式;  (2) Initial design of each module, that is, preliminary determination of the shape, thickness and transmission mode of the module;
(3) 对步骤 (2) 初次设计的机器人结构进行有限元分析, 通过该机器人的强度、 刚 度和固有频率的要求来优化结构; 所述的进行有限元分析包括如下 3步:  (3) Perform a finite element analysis on the robot structure of the first design in step (2), and optimize the structure by the requirements of the strength, rigidity and natural frequency of the robot; the finite element analysis described above includes the following three steps:
a) 利用轨迹优化求出机器人从始点到终点的运动轨迹, 即机器人运动过程中各个关 节的角速度变化值, 将求得的数值保存为 txt格式存储起来;  a) Using the trajectory optimization to find the trajectory of the robot from the start point to the end point, that is, the angular velocity change value of each joint during the movement of the robot, and save the obtained value in txt format for storage;
b)将 a)步中求出的角速度变化值导入到仿真软件 motion中, 在仿真软件 motion中 设置约束、 接触和引力来模拟现实的环境, 从而生成各个部件在工作过程受力情况;  b) Introduce the angular velocity change value obtained in step a) into the simulation software motion, and set the constraints, contact and gravity in the simulation software motion to simulate the real environment, so as to generate the force of each component during the working process;
c) 利用有限元软件 si皿 lation进行分析, 设定约束、 添加力和划分网格, 运行出结 果, 通过观察分析结果的应力值, 得到部件刚度强度分布的情况。  c) Analyze using the finite element software si lation, set constraints, add force and mesh, run the results, and observe the stress values of the analysis results to obtain the stiffness distribution of the components.
(4)针对步骤(3)中的分析结果, 判断机器人结构的各个模块是否满足刚度的需要, 如果满足直接进入步骤 (6) 中, 若不满足则进入步骤 (5) 中进行再次设计;  (4) For the analysis result in the step (3), determine whether the respective modules of the robot structure satisfy the requirement of rigidity, if the direct entry step (6) is satisfied, if not, proceed to step (5) for redesign;
(5) 在再次设计中, 如果有只需要局部修改的地方修改设计后返回步骤 (3) 的再次 利用有限元软件 simulation进行分析中; 如果有需要整体修改的返回到步骤 (2) 中; (5) In the redesign, if there is a place where only partial modification is needed, the design is returned and the step (3) is returned again using the finite element software simulation; if there is a need for the overall modification, return to step (2);
(6) 对机器人进行整机简化后, 进行模态分析; (6) After the machine is simplified, the modal analysis is performed;
所述的对机器人进行整机简化后, 进行模态分析是, 在有限元软件 simulation 中生 成频率算例, 求出机器人的固有频率和阵型, 从阵型和固有频率得出机器人结构中需要需 改进的部分, 进行再设计。  After the simplification of the whole machine is performed, the modal analysis is performed. The frequency example is generated in the finite element software simulation, and the natural frequency and formation of the robot are obtained. From the formation and the natural frequency, the robot structure needs to be improved. Part of the redesign.
(7) 对阵型和频率进行分析, 有不满足频率和阵型要求的地方, 返回到步骤 (5) 进 行再设计, 若满足, 则设计完成。  (7) Analyze the array and frequency. If there is a requirement that does not meet the frequency and formation requirements, return to step (5) for redesign. If it is satisfied, the design is completed.
下面具体说明本发明的串联机器人结构设计优化方法。  The method for optimizing the structural design of the tandem robot of the present invention will be specifically described below.
根据串联机器人结构和传动的特点, 将机器人结构分为底座、 基座、 转台、 摆臂、 小 臂和关节顶这六个模块。 进行模块结构的初次设计, 初步确定各个模块的形状、 厚度和传 动方式。 According to the structure of the serial robot and the characteristics of the transmission, the robot structure is divided into six modules: base, base, turntable, swing arm, arm and joint top. Perform the initial design of the module structure, initially determine the shape, thickness and transmission of each module Way of moving.
在 motion仿真软件中, 选择 motion 算例后添加六自由度串联机器人的六个马达, 设 定转动方向, 转动的角速度利用插值法导入用 matlab 规划好的轨迹角速度值, 设定整个 环境的引力值和方向来模拟现实环境中的重力场, 添加接触约束, 来规避机器人部件在运 动过程中碰撞的现象。 模拟从始点到终点的运动过程后, 可以将各个部件的受力情况列出 图表。 下表 1为通过仿真测量出来的机器人主要部件的受力情况。  In the motion simulation software, after selecting the motion example, add six motors of the six-degree-of-freedom series robot, set the rotation direction, and use the interpolation method to import the angular velocity values planned by matlab using the interpolation method to set the gravitational value of the whole environment. And direction to simulate the gravity field in the real environment, adding contact constraints to avoid the collision of robot parts during the movement. After simulating the motion process from the start point to the end point, the force of each component can be listed as a chart. Table 1 below shows the force of the main components of the robot measured by simulation.
表 1 主要部件受力列表  Table 1 List of main components stress
Figure imgf000006_0001
在有限元 Simulation 中对主要的六个部件进行有限元分析, 举转台为例, 根据实际 情况定义了约束和添加力的大小方向后。 画分网格, 在局部地区添加网格约束。 图 2为分 析应力结果的效果图,从图中的可以看到在耳部上边缘处应力为最大处(605800. 4N/M〜2 ), 超过材料强度, 可以通过加厚和加筋来增加强度, 同时在应力较安全的地方可以减小厚度 来节省材料。 其他的各个部件采用相同方法进行优化。
Figure imgf000006_0001
In the finite element simulation, the finite element analysis is performed on the six main components. Taking the turntable as an example, the constraints and the direction of the added force are defined according to the actual situation. Draw a grid to add mesh constraints in local areas. Figure 2 is an effect diagram of the analysis of the stress results. From the figure, it can be seen that the stress at the upper edge of the ear is the maximum (605800. 4N/M~2). Exceeding the material strength, it can be increased by thickening and reinforcement. Strength, while reducing the thickness at a safer place to save material. The other components are optimized in the same way.
已经将简化的串联机器人建模导入到 simulation 中, 创建频率算例, 设置各个部件 之间接触面的接合, 添加机器人基座与地面的固定约束。 划分网格, 因为固有频率和振型 主要取决于结构质量和刚度分布情况, 不存在类似应力集中的现象, 采用均匀网格可使结 构刚度矩阵和质量矩阵的元素不致相差太大。 因此在进行模态分析时无需使用网格控制, 正常划分网格即可, 网格数值设置大小如下表 2。  Simplified tandem robot modeling has been imported into the simulation, creating frequency studies, setting the joints between the various components, and adding fixed constraints on the robot base to the ground. Dividing the mesh, because the natural frequency and mode shape mainly depend on the structural mass and stiffness distribution, there is no similar stress concentration phenomenon, and the uniform mesh can make the structural stiffness matrix and the elements of the mass matrix not too different. Therefore, in the modal analysis, it is not necessary to use the grid control, and the grid can be divided normally. The grid value is set as shown in Table 2 below.
表 2 网格的参数
Figure imgf000006_0002
由于实际的分析对象是无限维的, 所以其模态具有无穷阶, 但是对于运动起主导作用 的只是前面的几阶模态, 所以计算时根据需要计算前几阶模态。频率分析的结果如下表 3, 机器人前 6阶的阵型分别对应着图 3中的 a〜f 图。 表 3 机器人前 6阶固有频率
Figure imgf000007_0001
Table 2 Grid parameters
Figure imgf000006_0002
Since the actual analysis object is infinite dimensional, its mode has infinite order, but only the first few modes are dominant for the motion, so the first few modes are calculated according to the needs. The results of the frequency analysis are shown in Table 3 below, and the arrays of the first 6 stages of the robot correspond to the a to f diagrams in Fig. 3, respectively. Table 3 The first 6 natural frequencies of the robot
Figure imgf000007_0001
( 1 )由于串联机器人的模态中,小臂伸出的质量越大,整体机构的低阶频率越低。 从 表中可以看出本机构的一阶模态并不算低, 满足国际上对负载 12kg机器人第一阶固有频 率不低于 12Hz的要求, 说明本机构伸出的质量不算大。 (1) Due to the mass of the extension of the robot in the mode of the tandem robot, the lower the lower frequency of the overall mechanism. It can be seen from the table that the first-order mode of the mechanism is not low, and it satisfies the international requirement that the first-order natural frequency of the 12kg robot is not less than 12Hz, indicating that the quality of the mechanism is not large.
( 2 ) 从图 3中 b、 c、 d、 e所示的 2、 3、 4、 5阶阵型相对于 a所示的 1阶模态可以 看到, 在转台与小臂连接处发生了扭曲、 弯曲和弯扭的变形, 因此可以判定本机构在转台 与小臂处传动机构连接刚度不够, 需要对此处的传动方式和结构进行再设计。  (2) It can be seen from the 2nd, 3rd, 4th, and 5th order forms shown by b, c, d, and e in Fig. 3 that the distortion occurs at the joint between the turntable and the arm. The deformation of the bending and bending and twisting, therefore, it can be judged that the rigidity of the transmission mechanism of the mechanism at the turntable and the arm is insufficient, and the transmission mode and structure here need to be redesigned.
( 3 ) 从图 3中 e、 f 所示的 5、 6阶阵型可以看出来, 基座与摆臂之间的发生扭曲, 说明该处连接的刚度不够, 需要对零件添加筋板、 增加厚度。  (3) It can be seen from the 5th and 6th-order formations shown by e and f in Fig. 3 that the distortion between the base and the swing arm indicates that the rigidity of the joint is insufficient, and it is necessary to add a rib to the part and increase the thickness. .
通过对以上的有限元分析和模态分析提出的修改意见, 进行修改后, 再次进行分析, 从而达到了整个设计到优化过程的闭循环, 保证了此种方法设计优化出来的机器人能够满 足预期的要求。  Through the modification of the above finite element analysis and modal analysis, the modification is carried out, and then the analysis is carried out again, thereby achieving the closed loop of the entire design to the optimization process, and ensuring that the robot optimized by the design of the method can meet the expected Claim.

Claims

权 利 要 求 Rights request
1. 一种串联机器人结构设计优化方法, 其特征在于, 包括如下步骤: A method for optimizing a structural design of a tandem robot, comprising the steps of:
(1) 将机器人的结构根据自由度数和传动结构分为多个模块;  (1) Divide the structure of the robot into multiple modules according to the degree of freedom and the transmission structure;
(2) 对各个模块进行初次设计, 即初步确定模块的形状、 厚度和传动方式;  (2) Initial design of each module, that is, preliminary determination of the shape, thickness and transmission mode of the module;
(3) 对步骤 (2) 初次设计的机器人结构进行有限元分析, 通过该机器人的强度、 刚 度和固有频率的要求来优化结构;  (3) Perform a finite element analysis on the robot structure of the first design in step (2), and optimize the structure by the requirements of the strength, rigidity and natural frequency of the robot;
(4)针对步骤(3)中的分析结果, 判断机器人结构的各个模块是否满足刚度的需要, 如果满足直接进入步骤 (6) 中, 若不满足则进入步骤 (5) 中进行再次设计;  (4) For the analysis result in the step (3), determine whether the respective modules of the robot structure satisfy the requirement of rigidity, if the direct entry step (6) is satisfied, if not, proceed to step (5) for redesign;
(5) 在再次设计中, 如果有只需要局部修改的地方修改设计后返回步骤 (3) 的再次 利用有限元软件 simulation进行分析中; 如果有需要整体修改的返回到步骤 (2) 中; (5) In the redesign, if there is a place where only partial modification is needed, the design is returned and the step (3) is returned again using the finite element software simulation; if there is a need for the overall modification, return to step (2);
(6) 对机器人进行整机简化后, 进行模态分析; (6) After the machine is simplified, the modal analysis is performed;
(7) 对阵型和频率进行分析, 有不满足频率和阵型要求的地方, 返回到步骤 (5) 进 行再设计, 若满足, 则设计完成。  (7) Analyze the array and frequency. If there is a requirement that does not meet the frequency and formation requirements, return to step (5) for redesign. If it is satisfied, the design is completed.
2. 根据权利要求 1所述的串联机器人结构设计优化方法, 其特征在于, 步骤 (1) 所 述的多个模块包括有: 底座、 基座、 转台、 摆臂、 小臂和关节顶这六个模块。  The method for optimizing the structure design of the serial robot according to claim 1, wherein the plurality of modules in the step (1) comprises: a base, a base, a turntable, a swing arm, an arm and a joint top. Modules.
3. 根据权利要求 1所述的串联机器人结构设计优化方法, 其特征在于, 步骤 (3) 所 述的进行有限元分析包括如下 3步:  3. The method for optimizing the structural design of a tandem robot according to claim 1, wherein the performing the finite element analysis in the step (3) comprises the following three steps:
a) 利用轨迹优化求出机器人从始点到终点的运动轨迹, 即机器人运动过程中各个关 节的角速度变化值, 将求得的数值保存为 txt格式存储起来;  a) Using the trajectory optimization to find the trajectory of the robot from the start point to the end point, that is, the angular velocity change value of each joint during the movement of the robot, and save the obtained value in txt format for storage;
b)将 a)步中求出的角速度变化值导入到仿真软件 motion中, 在仿真软件 motion中 设置约束、 接触和引力来模拟现实的环境, 从而生成各个部件在工作过程受力情况;  b) Introduce the angular velocity change value obtained in step a) into the simulation software motion, and set the constraints, contact and gravity in the simulation software motion to simulate the real environment, so as to generate the force of each component during the working process;
c) 利用有限元软件 si皿 lation进行分析, 设定约束、 添加力和划分网格, 运行出结 果, 通过观察分析结果的应力值, 得到部件刚度强度分布的情况。  c) Analyze using the finite element software si lation, set constraints, add force and mesh, run the results, and observe the stress values of the analysis results to obtain the stiffness distribution of the components.
4. 根据权利要求 1所述的串联机器人结构设计优化方法, 其特征在于, 步骤 (6) 所 述的对机器人进行整机简化后,进行模态分析是,在有限元软件 simulation中生成频率算 例, 求出机器人的固有频率和阵型, 从阵型和固有频率得出机器人结构中需要需改进的部 分, 进行再设计。  The method for optimizing the structure design of the serial robot according to claim 1, wherein after the simplification of the whole machine is performed in step (6), the modal analysis is performed, and the frequency calculation is generated in the finite element software simulation. For example, the natural frequency and formation of the robot are obtained, and the parts of the robot structure that need to be improved are obtained from the formation and the natural frequency, and redesigned.
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