基于多姿态模型和PLSCF的工业机器人模态分析方法
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浙江大学流体动力基础件与机电系统全国重点实验室

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A Modal Analysis Method for Industrial Robots Based on Multi-Posture Model and PLSCF Method
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1.State Key Laboratory of Fluid Power &2.amp;3.Mechatronic Systems

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    摘要:

    工业机器人的动态特性对作业精度、运行稳定性和系统可靠性具有重要影响,其中低阶模态通常表现出明显的姿态相关性和多关节耦合性。为有效表征工业机器人的动力学特性,本文提出了一种基于多姿态模型和多参考最小二乘复频域法(PLSCF)的模态分析方法。针对某型号六自由度工业机器人,根据其典型工作姿态建立多姿态模型,并采用锤击法和激振器法开展模态试验。针对采集的频率响应函数,利用PLSCF方法进行模态参数识别,提取了前三阶固有频率和阻尼比。其中,第二阶和第三阶固有频率的变化范围为20%。在此基础上绘制了相应振型,基于此分析了模态参数的演变机理。同时,引入模态置信准则,验证了振型相关性,并评估了姿态变化对于机器人局部模态耦合现象的影响程度。结果表明,该方法能有效表征工业机器人的动力学特性,为动力学建模与分析提供了可靠依据,并为结构设计优化、轨迹精度保证以及智能运维等应用奠定了基础。

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    The dynamic characteristics of industrial robots are pivotal in governing operational accuracy, stability, and system reliability. Generally, low-order modes demonstrate significant posture-dependent behavior and multi-joint coupling interactions. To accurately represent the dynamic characteristics, a modal identification method is proposed, incorporating a multi-posture model and the Poly-reference Least Squares Complex Frequency-Domain method (PLSCF). For a typical six-degree-of-freedom industrial robot, a multi-posture model is constructed according to its representative operational postures. Modal experiments are conducted using impact hammer excitation and shaker-based excitation methods. Based on the obtained frequency response functions, modal parameter identification is calculated using the PLSCF, extracting the first three natural frequencies and corresponding damping ratios. Consequently, the second and third natural frequencies vary by approximately 20%. The corresponding mode shapes are then constructed, with the underlying evolution mechanism investigated. In addition, a modal assurance criterion (MAC) is introduced to evaluate the correlation of mode shapes and to assess the influence of posture variations on the local modal coupling behavior of the robot. The result presents that the proposed method effectively captures the dynamic behavior of industrial robots, offering a reliable basis for dynamic modeling and analysis and facilitating applications such as structural optimization, trajectory accuracy improvement, and intelligent operation and maintenance.

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  • 收稿日期:2026-06-03
  • 最后修改日期:2026-08-30
  • 录用日期:2026-09-07
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