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求解三维装配几何约束闭环系统的约束变换方法

黄学良 李娜 陈立平

黄学良, 李娜, 陈立平. 求解三维装配几何约束闭环系统的约束变换方法[J]. 机械科学与技术, 2014, 33(1): 57-64.
引用本文: 黄学良, 李娜, 陈立平. 求解三维装配几何约束闭环系统的约束变换方法[J]. 机械科学与技术, 2014, 33(1): 57-64.
Huang Xue-liang, Li Na, Chen Li-ping. Constraint Transformation Method for Solving 3D Geometric Constraint System of Closed-loop Assemblies[J]. Mechanical Science and Technology for Aerospace Engineering, 2014, 33(1): 57-64.
Citation: Huang Xue-liang, Li Na, Chen Li-ping. Constraint Transformation Method for Solving 3D Geometric Constraint System of Closed-loop Assemblies[J]. Mechanical Science and Technology for Aerospace Engineering, 2014, 33(1): 57-64.

求解三维装配几何约束闭环系统的约束变换方法

基金项目: 

国家自然科学基金重点项目(60736019)资助

详细信息
    作者简介:

    黄学良(1983-),工程师,博士,研究方向为数字化设计技术,xueliang.huang@qq.com

Constraint Transformation Method for Solving 3D Geometric Constraint System of Closed-loop Assemblies

  • 摘要: 采用等价性分析方法消除三维几何约束系统中的伪约束闭环,并将几何约束图分解为单边子图、独立闭环子图和耦合闭环子图;采用螺旋理论识别出装配几何约束组合对应的运动副约束,将约束闭环子图映射为运动副约束图;通过分析运动副约束图的拓扑结构选择切除约束,建立装配几何约束闭环系统的相对坐标表达,将约束闭环系统的整体迭代求解转换为切除部分约束与相对坐标的迭代求解。该方法降低了数值迭代求解的规模,考虑了约束方向对求解结果的影响,既提高了约束求解的效率和稳定性,又保证了约束求解结果的正确性。
  • [1] Kramer G A.Solving geometric constraints system:a case study in kinematics[M].Cambridge:MIT Press,1992
    [2] Mullins S H,Anderson D C.A positioning algorithm for mechanical assemblies with closed kinematic chains in three dimensions[C] //Proceedings of the 2nd ACM Symposium on Solid Modeling and Applications,New York:ACM Press,1993:271-280
    [3] 吴永明.三维几何约束闭环的动态识别与满足[J].计算机辅助设计与图形学学报,2000,12(8):624-629Wu Y M.Dynamic recognition and solution of 3D geometric constraint loops[J].Journal of Computer-Aided Design and Computer Graphics,2000,12(8):624-629(in Chinese)
    [4] Peng X B,Lee K W,Chen L P.A geometric constraint solver for 3D assembly modelling[J].International Journal of Advanced Manufacturing Technology,2005,28(5/6):561-570
    [5] Kim J S,Kim K S,Lee J Y,et al.Solving 3D geometric constraints for closed-loop assemblies[J].International Journal of Advanced Manufacturing Technology,2004,23(9/10):755-761
    [6] 夏鸿建,王波兴,陈立平.三维几何约束求解的变分方法[J].计算机辅助设计与图形学学报,2006,18(12):1878-1883Xia H J,Wang B X,Chen L P.Solving 3D assembly geometric constraints based on variation method[J].Journal of Computer-Aided Design and Computer Graphics,2006,18(12):1878-1883(in Chinese)
    [7] Bae D S,Haug E J.A recursive formulation for constrained mechanical system of dynamics:part II.closed-loop systems[J].Mechanics of Structures and Machines,1988,15(4):481-506
    [8] 黄学良,陈立平,王波兴.求解三维装配约束闭环的投影变换法[J].计算机辅助设计与图形学学报,2010,22(12):2138-2146Huang X L,Chen L P,Wang B X.A projection transformation method for solving 3D assembly geometric constraint closed-loops[J].Journal of Computer-Aided Design and Computer Graphics,2010,22(12):2138-2146(in Chinese)
    [9] 黄学良,王波兴,陈立平,等.三维几何约束系统的等价性分析[J].软件学报,2011,22(5):1106-1120Huang X L,Wang B X,Chen L P,et al.Equivalence analysis of 3D geometric constraint systems[J].Journal of Software,2011,22(5):1106-1120(in Chinese)
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出版历程
  • 收稿日期:  2012-09-03
  • 刊出日期:  2015-06-10

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