首页|2P6R拼装机械臂的运动学分析

2P6R拼装机械臂的运动学分析

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目前隧道管片修复加固工作自动化程度低,存在施工安全隐患大、效率低、成本高、工人劳动强度大等问题.为实现隧道管片加固钢板的自动化拼装,首先,提出一种2P6R拼装机械臂方案,建立机械臂正运动学模型.其次,采用解析法对机械臂进行逆向运动学求解,以限制关节超限作为代价函数进行冗余解的选取,并在Beckhoff C6030-0080的TwinCAT 3平台进行逆运动学求解测试,验证算法具有较好的实时性.再次,利用微分变换法求得机械臂的雅可比矩阵,识别并列举边界奇异及内部奇异位形示例.最后,利用图解法绘制出机械臂可达工作空间截面及完整的三维可达工作空间,并进一步对机械臂进行灵活度分析,绘制出灵活度分布图.研究结果表明:2P6R拼装机械臂可以满足隧道管片加固钢板自动化拼装需求,为机械臂的应用提供理论基础.
Kinematic analysis of 2P6R erecting manipulator
At present, the automation level of tunnel segment repair and reinforcement is low, leading to sig-nificant safety hazards, low efficiency, high costs, and high labor intensity for workers. To achieve the auto-mated assembly of steel plates for tunnel segment reinforcement, this study proposes a 2P6R erecting ma-nipulator scheme. Firstly, the forward kinematics model of the manipulator is established. Then, the inverse kinematics is solved using an analytical method, with joint overrun as the cost function for selecting redundant solutions. The inverse kinematics solution is tested on the Beckhoff C6030-0080 TwinCAT 3 platform, demonstrating the algorithm's real-time performance. The Jacobian matrix of the manipulator is obtained us-ing the differential transformation method, and examples of boundary and internal singular configurations are identified and listed. Finally, the reachable workspace of the manipulator is illustrated through sectional and complete three-dimensional graphics, followed by a flexibility analysis resulting in a flexibility distribution map. The results indicate that the 2P6R erecting manipulator can meet the requirements for automated assem-bly of reinforced steel plates in tunnel segments, providing a theoretical basis for its application.

tunnel segment reinforcementredundant degree of freedom manipulatorkinematicsjacobian matrixsingularity

张浩文

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中铁工程服务有限公司,成都 610083

中国科学院大学 工程科学学院,北京 100049

隧道管片加固 冗余自由度机械臂 运动学 雅可比矩阵 奇异性

国家自然科学基金

72074202

2024

北京交通大学学报
北京交通大学

北京交通大学学报

CSTPCD北大核心
影响因子:0.525
ISSN:1673-0291
年,卷(期):2024.48(3)