基於Jacobian-Torsor模型之工具機關鍵組裝品質分析技術建立

為提升工具機的精度與可靠度，組裝品質的關鍵性日益受到重視。本研究提出一套基於Jacobian-Torsor模型之工具機關鍵組裝品質分析方法，針對機械零件幾何規格、公差與機構鏈，建立誤差傳遞 模型，系統性評估組裝誤差對六自由度定位精度的影響，並藉由蒙地卡羅模擬方法進行統計分析，以辨 識對整體性能影響較大的關鍵公差。本方法可作為設計與組裝階段的品質優化依據，並有助於建立智慧 化的誤差補償與品質控制機制，進一步強化工具機整體性能與製造競爭力。

To enhance the precision and reliability of machine tools, the importance of assembly quality has gained increasing attention. This study proposes a key assembly quality analysis method for machine tools based on the Jacobian-Torsor model. By incorporating geometrical specifications, tolerances, and the kinematic chain of mechanical components, an error propagation model is established to systematically evaluate the influence of assembly errors on positioning accuracy across six degrees of freedom. Through Monte Carlo simulation, the statistical contributions of individual tolerances are analyzed to identify critical tolerance parameters that significantly affect system performance. The proposed method serves as a foundation for quality optimization during both the design and assembly stages and contributes to the development of intelligent error compensation and quality control mechanisms, thereby improving the overall performance and competitiveness of machine tool manufacturing.