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<p>The compliant parallelogram mechanism (CPM) has found extensive applications in modern precision instruments and measurement engineering. However, the motion precision of the CPM is significantly affected by parasitic displacement and coupling error. These issues are inherent in the primary motion of such mechanisms. In this work, the beam constraint model is employed to characterize parasitic displacement in the one-degree of freedom Lumped compliant parallelogram mechanism (LCPM). Additionally, the coupling error transfer matrix is proposed and analyzed to account for various connection configurations of three-degree of freedom LCPM. The analytical results are&#xa0;rigorously validated through both finite element method (FEM) simulations and experimental investigations. Notably, a good consistency is observed among the theoretical analysis, FEM results, and experimental investigations. This research establishes an effective theoretical framework for analyzing the precision of compliant parallelogram mechanisms.</p>

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Research on parasitic displacement and coupling error in lumped compliant parallelogram mechanism

  • 期刊论文

  • 发表日期：

    2025年6月9日

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  • Huaibo Qiang,
  • Hongxi Wang

摘要

The compliant parallelogram mechanism (CPM) has found extensive applications in modern precision instruments and measurement engineering. However, the motion precision of the CPM is significantly affected by parasitic displacement and coupling error. These issues are inherent in the primary motion of such mechanisms. In this work, the beam constraint model is employed to characterize parasitic displacement in the one-degree of freedom Lumped compliant parallelogram mechanism (LCPM). Additionally, the coupling error transfer matrix is proposed and analyzed to account for various connection configurations of three-degree of freedom LCPM. The analytical results are rigorously validated through both finite element method (FEM) simulations and experimental investigations. Notably, a good consistency is observed among the theoretical analysis, FEM results, and experimental investigations. This research establishes an effective theoretical framework for analyzing the precision of compliant parallelogram mechanisms.