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Original Articles

Solving Under-constrained Assembly Problems Incrementally Using a Kinematic Method

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REFERENCES

  • Bae, D.-S.; Haug, E.-J.: A Recursive Formulation for Constrained Mechanical System Dynamics: Part II - Closed Loop Systems, Mechanics of Structures and Machines, 15(4), 1987, 481–506. doi: 10.1080/08905458708905130
  • Borning, A.: The Programming Language Aspect of ThingLab, ACM Transactions on Programming Language and Systems, 3(4), 1981, 353–387. doi: 10.1145/357146.357147
  • Fudos, I.; Hoffmann, C.-M.: A Graph- constructive Approach to Solving Systems of Geometric Constraints, ACM Transactions on Graphics, 16(2), 1997, 179–216. doi: 10.1145/248210.248223
  • Gao, X.-S.; Jiang, K.; Zhu C.-C.: Geometric Constraint Solving with Conics and Linkages, Computer-Aided Design, 34(6), 2002, 421–433. doi: 10.1016/S0010-4485(01)00114-2
  • Gao, X.-S.; Lin, Q.; Zhang, G.-F.: A C-tree Decomposition Algorithm for 2D and 3D Geometric Constraint Solving, Computer-Aided Design, 38(1), 2006, 1–13. doi: 10.1016/j.cad.2005.03.002
  • Haug, E.-J.: Computer Aided Kinematics and Dynamics of Mechanical Systems: Basic Method, Allyn and Bacon, Boston, 1989.
  • Kim, J.-S.; Kim, K.-S.; Lee, J.-Y.; Jung, H.-B.: Solving 3D Geometric Constraints for Closed-loop Assemblies, International Journal of Advanced Manufacturing Technology, 23(9-10), 2004, 755–761. doi: 10.1007/s00170-003-1686-y
  • Kim, S.-H.; Lee, K.: An Assembly Modelling System for Dynamic and Kinematic Analysis, Computer-Aided Design, 21(1), 1989, 2–12. doi: 10.1016/0010-4485(89)90110-3
  • Kramer, G.-A.: A Geometric Constraint Engine, Artificial Intelligence, 58(1-3), 1992, 327–360. doi: 10.1016/0004-3702(92)90012-M
  • Laman, G.: On Graphs and Rigidity of Plane Skeletal Structures, Journal of Engineering Mathematics, 4(4), 1970, 331–340. doi: 10.1007/BF01534980
  • Latham, R.-S.; Middleditch, A.-E.: Connectivity Analysis: A Tool for Processing Geometric Constraints, Computer-Aided Design, 28(11), 1996, 917–928. doi: 10.1016/0010-4485(96)00023-1
  • Lee-St J. A.; Sidman J.: Combinatorics and the rigidity of CAD systems. Computer-Aided Design, 45(2), 2013, 473–482.
  • Li, Y.-T.; Hu, S.-M.; Sun, J.-G.: A Constructive Approach to Solving 3-D Geometric Constraint Systems Using Dependence Analysis, Computer-Aided Design, 34(2), 2002, 97–108. doi: 10.1016/S0010-4485(01)00054-9
  • Light, R.; Gossard, D.: Modification of Geometric Models through Variational Geometry, Computer-Aided Design, 14(4), 1982, 209–214. doi: 10.1016/0010-4485(82)90292-5
  • Liu, Y.; Song, H.-C.; Yong, J.-H.: Calculating Jacobian Coefficients of Primitive Constraints with Respect to Euler Parameters, International Journal of Advanced Manufacturing Technology, Accepted. doi: 10.1007/s00170-012- 4643-9.
  • Mathis, P.; Thierry, S.-E.-B.: A Formalization of Geometric Constraint Systems and Their Decomposition, Formal Aspects of Computing, 22(2), 2010, 129–151. doi: 10.1007/s00165-009-0117-8
  • Oliver, J.-H.; Harangozo, M.-J.: Inference of Link Positions for Planar Closed-loop Mechanisms, Computer-Aided Design, 24(1), 1992, 18–26. doi: 10.1016/0010-4485(92)90087-Q
  • Owen, J.-C.: Algebraic Solution for Geometry from Dimensional Constraints, in: Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications, 1991, 397–407.
  • Peng, X.; Lee, K.; Chen, L.: A Geometric Constraint Solver for 3-D Assembly Modelling, International Journal of Advanced Manufacturing Technology, 28(5-6), 2006, 561–570. doi: 10.1007/s00170-004-2391-1
  • Schreck, P.; Schramm, É.: Using Invariance under the Similarity Group to Solve Geometric Constraint Systems, Computer-Aided Design, 38(5), 2006, 475–484. doi: 10.1016/j.cad.2006.01.002
  • Tarjan, R.: Depth-first Search and Linear Graph Algorithms, SIAM Journal on Computing, 1(2), 1972, 146–159. doi: 10.1137/0201010
  • Tay T.-S.: Rigidity of multi-graphs. I. linking rigid bodies in n-space. Combinatorial Theory Series B 26, 1984, 95–112. doi: 10.1016/0095-8956(84)90016-9
  • van der Meiden, H.-A.; Bronsvoort, W.-F.: A Non-rigid Cluster Rewriting Approach to Solve Systems of 3D Geometric Constraints, Computer-Aided Design, 42 (1), 2010, 36–49. doi: 10.1016/j.cad.2009.03.003
  • Xia, H.-J.; Wang, B.-X.; Chen, L.-P.; Huang, Z.-D.: 3D Geometric Constraint Solving Using the Method of Kinematic Analysis, International Journal of Advanced Manufacturing Technology, 35 (7-8), 2008, 711–722. doi: 10.1007/s00170-006-0748-3
  • Zou, H.; Abdel-Malek, K.; Wang, J.-Y.: Computer-Aided Design Using the Method of Cut-joint Kinematic Constraints, Computer-Aided Design, 28(10), 1996, 795–806. doi: 10.1016/0010-4485(96)00010-3

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