Skip to main content

2015 | OriginalPaper | Buchkapitel

Path Planning Kinematics Simulation of CNC Machine Tools Based on Parallel Manipulators

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Since the very successful application of parallel robots in material handling, many projects attempted to implement the Gough platforms as milling machine manipulators with limited success mainly achieving roughing. The displacement of the milling tool should meet surface finish requirements while increasing tool feedrate in order to improve productivity. This work introduces geometric formalization of surface finish which is more realistic then classic error calculations. This research work also proposes an off-line simulation tool analysing the milling task feasibility using a robot constituted by a general hexapod parallel manipulator, controlled by a typical CNC controller implementing classic position based algorithms where joint space polynomial interpolation is utilized. High and very high speed milling simulation results show the implementation of linear and third order interpolation between the actuator set-points calculated from the CAD/CAM computed end-effector or tool set-points. Linear interpolation is not sufficient for high speed milling and then third order interpolation reach the required surface finish at feasible CNC sampling rates.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Abdellatif H, Heimann B (2005) Adapted time-optimal trajectory planning for parallel manipulators with full dynamic modelling. In: IEEE international conference on robotics and automation. Barcelona, 19–22 April 2005, pp 413–418 Abdellatif H, Heimann B (2005) Adapted time-optimal trajectory planning for parallel manipulators with full dynamic modelling. In: IEEE international conference on robotics and automation. Barcelona, 19–22 April 2005, pp 413–418
2.
Zurück zum Zitat Bayaziz OB, Xie D, Anamato NM (2005) Iterative relaxation of constraints: a framework for improving automated motion planning. In: IEEE international conference on robotics and automation. Barcelona, 19–22 April 2005 pp 3433–3440 Bayaziz OB, Xie D, Anamato NM (2005) Iterative relaxation of constraints: a framework for improving automated motion planning. In: IEEE international conference on robotics and automation. Barcelona, 19–22 April 2005 pp 3433–3440
3.
Zurück zum Zitat Bhattacharya S, Hatwal H, Ghosh A (1998) Comparison of an exact and an approximate method of singularity avoidance in platform type parallel manipulators. Mech Mach Theory 33(7):965–974CrossRefMATH Bhattacharya S, Hatwal H, Ghosh A (1998) Comparison of an exact and an approximate method of singularity avoidance in platform type parallel manipulators. Mech Mach Theory 33(7):965–974CrossRefMATH
4.
Zurück zum Zitat Bohigas O et al (2012) A singularity-free path planner for closed-chain manipulators. In: IEEE international conference on robotics and automation, Saint Paul, 14–18 May 2012 pp 2128–2134 Bohigas O et al (2012) A singularity-free path planner for closed-chain manipulators. In: IEEE international conference on robotics and automation, Saint Paul, 14–18 May 2012 pp 2128–2134
5.
Zurück zum Zitat Bohigas O, Manubens M, Ros L (2012) Planning singularity-free force-feasible paths on the stewart platform. In: ARK. Innsbruck, 25–28 June 2012 pp 245–253 Bohigas O, Manubens M, Ros L (2012) Planning singularity-free force-feasible paths on the stewart platform. In: ARK. Innsbruck, 25–28 June 2012 pp 245–253
6.
Zurück zum Zitat Brady M et al (1982) Robot motion: planning and control. MIT Press, Cambridge Brady M et al (1982) Robot motion: planning and control. MIT Press, Cambridge
7.
Zurück zum Zitat Briot S, Arakelian V (2008) Optimal force generation in parallel manipulators for passing through the singular positions. Int J Robot Res 27(2):967–983CrossRef Briot S, Arakelian V (2008) Optimal force generation in parallel manipulators for passing through the singular positions. Int J Robot Res 27(2):967–983CrossRef
8.
Zurück zum Zitat Carbone G, Gmez-Bravo F, Selvi O (2012) An experimental validation of collision-free trajectories for parallel manipulators. Mech Based Des Struct Mach 40(4):414–433CrossRef Carbone G, Gmez-Bravo F, Selvi O (2012) An experimental validation of collision-free trajectories for parallel manipulators. Mech Based Des Struct Mach 40(4):414–433CrossRef
9.
Zurück zum Zitat Carbone G et al (1997) An optimum path planning for Cassino parallel manipulator by using inverse dynamics. Robotica 26(02):229–239 Carbone G et al (1997) An optimum path planning for Cassino parallel manipulator by using inverse dynamics. Robotica 26(02):229–239
10.
Zurück zum Zitat Chablat D, Wenger P (1998) Moveability and collision analysis for fully-parallel manipulators. In: 12th RoManSy, Paris, 6–9 July 1998 pp 61–68 Chablat D, Wenger P (1998) Moveability and collision analysis for fully-parallel manipulators. In: 12th RoManSy, Paris, 6–9 July 1998 pp 61–68
11.
Zurück zum Zitat Chedmail P, Hascoet JY, Guerin F (1994) Collision detection analysis for milling. Adv Manuf Syst 1:247–252 Chedmail P, Hascoet JY, Guerin F (1994) Collision detection analysis for milling. Adv Manuf Syst 1:247–252
12.
Zurück zum Zitat Chen C-T, Chi H-W (2008) Singularity-free trajectory planning of platform-type parallel manipulators for minimum actuating efforts and reactions. Robotica 26(3):371–384CrossRef Chen C-T, Chi H-W (2008) Singularity-free trajectory planning of platform-type parallel manipulators for minimum actuating efforts and reactions. Robotica 26(3):371–384CrossRef
13.
Zurück zum Zitat Chen C-T, Liao TT (2008) Optimal path programming of the Stewart platform manipulator using the Boltzmann-Hamel-d’Alembert dynamics formulation model. Adv Robot 22(6–7):705–730CrossRefMathSciNet Chen C-T, Liao TT (2008) Optimal path programming of the Stewart platform manipulator using the Boltzmann-Hamel-d’Alembert dynamics formulation model. Adv Robot 22(6–7):705–730CrossRefMathSciNet
14.
Zurück zum Zitat Chen Y, McInroy JE, Yi Y (2003) Optimal, fault-tolerant mappings to achieve secondary goals without compromising primary performance. IEEE trans robot autom, vol 19(4). University Park, pp 681–691 Chen Y, McInroy JE, Yi Y (2003) Optimal, fault-tolerant mappings to achieve secondary goals without compromising primary performance. IEEE trans robot autom, vol 19(4). University Park, pp 681–691
15.
Zurück zum Zitat Coiffet P (1986) Les robots, tome 1, modelisation et commande. Hermes, Paris Coiffet P (1986) Les robots, tome 1, modelisation et commande. Hermes, Paris
16.
Zurück zum Zitat Corts J (2003) Motion planning algorithms for general closed-chain mechanisms. Ph.D. Thesis, Institut National Polytechnique de Toulouse, Toulouse, 16 December 2003 Corts J (2003) Motion planning algorithms for general closed-chain mechanisms. Ph.D. Thesis, Institut National Polytechnique de Toulouse, Toulouse, 16 December 2003
17.
Zurück zum Zitat Corts J, Simon T, Laumond J-P (2002) A random loop generator for planning the motions of closed kinematic chains using PRM methods. In: IEEE international conference on robotics and automation. Washington, 11–15 May 2002 pp 2141–2146 Corts J, Simon T, Laumond J-P (2002) A random loop generator for planning the motions of closed kinematic chains using PRM methods. In: IEEE international conference on robotics and automation. Washington, 11–15 May 2002 pp 2141–2146
18.
Zurück zum Zitat Corts J, Simon T (2003) Probabilistic motion planning for parallel mechanisms. In: IEEE international conference on robotics and automation Taipei, 14–19 September 2003 pp 4354–4359 Corts J, Simon T (2003) Probabilistic motion planning for parallel mechanisms. In: IEEE international conference on robotics and automation Taipei, 14–19 September 2003 pp 4354–4359
19.
Zurück zum Zitat Dallefrate D et al (2002) A feed rate optimization technique for high-speed CNC machining with parallel manipulators. In: 3rd Chemnitzer Parallelkinematik Seminar, Chemnitz, 23–25 April 2002 pp 371–388 Dallefrate D et al (2002) A feed rate optimization technique for high-speed CNC machining with parallel manipulators. In: 3rd Chemnitzer Parallelkinematik Seminar, Chemnitz, 23–25 April 2002 pp 371–388
20.
Zurück zum Zitat Daney D (2000) Etalonnage geometric des robots paralleles. Ph.D. thesis, Universite de Nice-Sophia Antipolis Daney D (2000) Etalonnage geometric des robots paralleles. Ph.D. thesis, Universite de Nice-Sophia Antipolis
21.
Zurück zum Zitat Dasgupta B, Mruthyunjaya TS (1998) Singularity-free path planning for the Stewart platform manipulator. Mech Mach Theory 33(6):711–725CrossRefMathSciNet Dasgupta B, Mruthyunjaya TS (1998) Singularity-free path planning for the Stewart platform manipulator. Mech Mach Theory 33(6):711–725CrossRefMathSciNet
22.
Zurück zum Zitat Dash AK et al (2002) Workspace analysis and singularity-free path planning of parallel manipulators. In: International conference on mechatronics technology (ICMT), Fukuoka, 29 September–3 October 2002 pp 457–462 Dash AK et al (2002) Workspace analysis and singularity-free path planning of parallel manipulators. In: International conference on mechatronics technology (ICMT), Fukuoka, 29 September–3 October 2002 pp 457–462
23.
Zurück zum Zitat Dash AK et al (2003) Singularity-free path planning of parallel manipulators using clustering algorithm and line geometrie. In: IEEE international conference on robotics and automation, Taipei, 14–19 September 2003 pp 761–766 Dash AK et al (2003) Singularity-free path planning of parallel manipulators using clustering algorithm and line geometrie. In: IEEE international conference on robotics and automation, Taipei, 14–19 September 2003 pp 761–766
24.
Zurück zum Zitat Dash AK et al (2005) Workspace generation and planning singularity-free path for parallel manipulators. Mech Mach Theory 40(7):778–805CrossRefMathSciNet Dash AK et al (2005) Workspace generation and planning singularity-free path for parallel manipulators. Mech Mach Theory 40(7):778–805CrossRefMathSciNet
25.
Zurück zum Zitat Depince P, Hascoet JY, Furet B (1997) Compensation de trajectoire d’usinage: simulation et experimentation. In: Proceedings of 13e Congrs franais de mcanique, vol 3. pp 293–296 Depince P, Hascoet JY, Furet B (1997) Compensation de trajectoire d’usinage: simulation et experimentation. In: Proceedings of 13e Congrs franais de mcanique, vol 3. pp 293–296
26.
Zurück zum Zitat Dombre E, Khalil W (1999) Modelisation, identification et commande des robots, seconde dition. Robotique. Hermes, traite des nouvelles technologies edition Dombre E, Khalil W (1999) Modelisation, identification et commande des robots, seconde dition. Robotique. Hermes, traite des nouvelles technologies edition
27.
Zurück zum Zitat Huang T et al (2007) Time minimum trajectory planning of a 2-DoF translation parallel robot for pick-and-place operations. Ann CIRP 56/1/2007:365–368 Huang T et al (2007) Time minimum trajectory planning of a 2-DoF translation parallel robot for pick-and-place operations. Ann CIRP 56/1/2007:365–368
28.
Zurück zum Zitat Jui CKK, Sun Q (2003) Path trackability and verification for parallel manipulators. In: IEEE international conference on robotics and automation. Taipei, 14–19 September 2003 pp 4336–4341 Jui CKK, Sun Q (2003) Path trackability and verification for parallel manipulators. In: IEEE international conference on robotics and automation. Taipei, 14–19 September 2003 pp 4336–4341
29.
Zurück zum Zitat Khoukhi A, Baron L, Balazinski M (2009) Constrained multi-objective trajectory planning of parallel kinematic machines. Robot Comput-Integr Manuf 25(4–5):756–769CrossRef Khoukhi A, Baron L, Balazinski M (2009) Constrained multi-objective trajectory planning of parallel kinematic machines. Robot Comput-Integr Manuf 25(4–5):756–769CrossRef
30.
Zurück zum Zitat Lahouar S, Zeghloul S, Romdhane L (2008) Singularity free path planning for parallel robots. Analysis and design: advances in robot kinematics, pp 235–242 Lahouar S, Zeghloul S, Romdhane L (2008) Singularity free path planning for parallel robots. Analysis and design: advances in robot kinematics, pp 235–242
31.
Zurück zum Zitat Latombe JC (1991) Robot motion planning. Kluwer Academic Publisher, BostonCrossRef Latombe JC (1991) Robot motion planning. Kluwer Academic Publisher, BostonCrossRef
32.
Zurück zum Zitat Liegeois A (1984) Les robots, tome 7, analyse des performances et CAO. Hermes, Paris Liegeois A (1984) Les robots, tome 7, analyse des performances et CAO. Hermes, Paris
33.
Zurück zum Zitat Liu G, Trinkle JC, Shvalb N (2006) Motion planning for a class of planar closed-chain manipulators. In: IEEE international conference on robotics and automation, Orlando, 16–18 May 2006 pp 133–138 Liu G, Trinkle JC, Shvalb N (2006) Motion planning for a class of planar closed-chain manipulators. In: IEEE international conference on robotics and automation, Orlando, 16–18 May 2006 pp 133–138
34.
Zurück zum Zitat Lozano-Prez T, Wesley M (1979) An algorithm for planning collision-free paths among polyhedral obstacles. In: Communications of ACM, vol 22, pp 560–570 Lozano-Prez T, Wesley M (1979) An algorithm for planning collision-free paths among polyhedral obstacles. In: Communications of ACM, vol 22, pp 560–570
35.
Zurück zum Zitat Luh JYS, Lin CS (1981) Optimum path planning for mechanical manipulators. Trans ASME 142–151 Luh JYS, Lin CS (1981) Optimum path planning for mechanical manipulators. Trans ASME 142–151
36.
Zurück zum Zitat Magnin R, et Urso JP (1991) Commande numerique, programmation. Memotech Magnin R, et Urso JP (1991) Commande numerique, programmation. Memotech
37.
Zurück zum Zitat Marty C, Cassagnes C, La Martin P (1993) pratique de la commande numerique des machines-outils. Technique et documentation. Lavoisier, Paris Marty C, Cassagnes C, La Martin P (1993) pratique de la commande numerique des machines-outils. Technique et documentation. Lavoisier, Paris
38.
Zurück zum Zitat Masory O, Xiu D (1998) Contour errors in a new class of CNC machine tools. In: Proceedings of WAC98, vol 1, pp 791–798 Masory O, Xiu D (1998) Contour errors in a new class of CNC machine tools. In: Proceedings of WAC98, vol 1, pp 791–798
39.
Zurück zum Zitat Merlet JP (1993) Manipulateurs paralleles, septieme partie: Verification et planification de trajectoire dans l’espace de travail. Technical Report 1940, INRIA, Sophia-Antipolis, June 1993 Merlet JP (1993) Manipulateurs paralleles, septieme partie: Verification et planification de trajectoire dans l’espace de travail. Technical Report 1940, INRIA, Sophia-Antipolis, June 1993
40.
Zurück zum Zitat Merlet J-P (2000) An efficient trajectory verifier for motion planning of parallel machine. In: Parallel kinematic machines international conference, Ann Arbor, 14–15 September 2000 Merlet J-P (2000) An efficient trajectory verifier for motion planning of parallel machine. In: Parallel kinematic machines international conference, Ann Arbor, 14–15 September 2000
41.
Zurück zum Zitat Merlet J-P (2001) A generic trajectory verifier for the motion planning of parallel robots. J Mech Des 123(4):510–515CrossRefMathSciNet Merlet J-P (2001) A generic trajectory verifier for the motion planning of parallel robots. J Mech Des 123(4):510–515CrossRefMathSciNet
42.
Zurück zum Zitat Merlet J-P (2007) A local motion planner for closed-loop robots. In: IEEE international conference on intelligent robots and systems (IROS), San Diego, 22–26 September 2007 pp 3088–3093 Merlet J-P (2007) A local motion planner for closed-loop robots. In: IEEE international conference on intelligent robots and systems (IROS), San Diego, 22–26 September 2007 pp 3088–3093
43.
Zurück zum Zitat Merlet J-P, Mouly N (1994) Espace de travail et planification de trajectoire des robots parallles plans. Technical Report 2291, INRIA, Sophia-Antipolis, February 1994 Merlet J-P, Mouly N (1994) Espace de travail et planification de trajectoire des robots parallles plans. Technical Report 2291, INRIA, Sophia-Antipolis, February 1994
44.
Zurück zum Zitat Merlet JP, Perng MW, Daney D (2000) Optimal trajectory planning of 5-axis machine-tool based on a 6-axis parallel manipulator. Adv Robot Kinemat 1(1):315–322CrossRef Merlet JP, Perng MW, Daney D (2000) Optimal trajectory planning of 5-axis machine-tool based on a 6-axis parallel manipulator. Adv Robot Kinemat 1(1):315–322CrossRef
45.
Zurück zum Zitat Mery B (1997) Machines a commande numerique. Hermes, Paris Mery B (1997) Machines a commande numerique. Hermes, Paris
46.
Zurück zum Zitat Nenchev DN, Uchiyama M (1996) Singularity-consistent path planning and control of parallel robot motion through instantaneous-self-motion type. In: IEEE international conference on robotics and automation. Minneapolis, 24–26 April 1996 pp 1864–1870 Nenchev DN, Uchiyama M (1996) Singularity-consistent path planning and control of parallel robot motion through instantaneous-self-motion type. In: IEEE international conference on robotics and automation. Minneapolis, 24–26 April 1996 pp 1864–1870
47.
Zurück zum Zitat Nguyen CC et al (1992) Trajectory planning and control of a Stewart platform-based end-effector with passive compliance for part assembly. J Intell Robot Syst 6(2–3):263–281 Nguyen CC et al (1992) Trajectory planning and control of a Stewart platform-based end-effector with passive compliance for part assembly. J Intell Robot Syst 6(2–3):263–281
48.
Zurück zum Zitat Nilsson N (1969) A mobile automaton: an application of artificial intelligence. In: Proceedings of the international joint conference on artificial intelligence, pp 509–520 Nilsson N (1969) A mobile automaton: an application of artificial intelligence. In: Proceedings of the international joint conference on artificial intelligence, pp 509–520
49.
Zurück zum Zitat Oen K-T, Wang L-CT (2007) Optimal dynamic trajectory planning for linearly actuated platform type parallel manipulators having task space redundant degree of freedom. Mech Mach Theory 42(7):727–750CrossRefMATHMathSciNet Oen K-T, Wang L-CT (2007) Optimal dynamic trajectory planning for linearly actuated platform type parallel manipulators having task space redundant degree of freedom. Mech Mach Theory 42(7):727–750CrossRefMATHMathSciNet
50.
Zurück zum Zitat Patel A, Ehmann K (1997) Volumetric error analysis of a Stewart platform based machine tool. In: Annals of the CIRP, vol 46, pp 287–290 Patel A, Ehmann K (1997) Volumetric error analysis of a Stewart platform based machine tool. In: Annals of the CIRP, vol 46, pp 287–290
51.
Zurück zum Zitat Pouyan A et al (2010) Eliminating redundancy and singularity in robot path planning based on masking. Expert Syst Appl 37(9):6213–6217CrossRef Pouyan A et al (2010) Eliminating redundancy and singularity in robot path planning based on masking. Expert Syst Appl 37(9):6213–6217CrossRef
52.
Zurück zum Zitat Pugazhenthi S, Nagarajan T, Singaperumal M (2002) Optimal trajectory planning for a hexapod machine tool during contour machining. Proceed Inst Mech Eng Part C, J Mech Eng Sci A 216(12):1247–1257 Pugazhenthi S, Nagarajan T, Singaperumal M (2002) Optimal trajectory planning for a hexapod machine tool during contour machining. Proceed Inst Mech Eng Part C, J Mech Eng Sci A 216(12):1247–1257
53.
Zurück zum Zitat Merlet JP (1997) Les Robots Parallel, 2nd edn. Herms, Paris Merlet JP (1997) Les Robots Parallel, 2nd edn. Herms, Paris
54.
Zurück zum Zitat Dieudonne JE, Parrish RV, Bardusch RE (1972) An actuator extension transformation for a motion simulator and an inverse transformation applying Newton-Raphson’s method, Technical Report D-7067. NASA, Washington Dieudonne JE, Parrish RV, Bardusch RE (1972) An actuator extension transformation for a motion simulator and an inverse transformation applying Newton-Raphson’s method, Technical Report D-7067. NASA, Washington
55.
Zurück zum Zitat Lazard D (1993) On the representation of rigid-body motions and its application to generalized platform manipulators. J Comput Kinemat 1:175–182CrossRef Lazard D (1993) On the representation of rigid-body motions and its application to generalized platform manipulators. J Comput Kinemat 1:175–182CrossRef
56.
Zurück zum Zitat Raghavan M (1993) The Stewart platform of general geometry has 40 configurations. ASME J Mech Des 115:277–282CrossRef Raghavan M (1993) The Stewart platform of general geometry has 40 configurations. ASME J Mech Des 115:277–282CrossRef
57.
Zurück zum Zitat Raghavan M, Roth B (1995) Solving polynomial systems for the kinematic analysis and synthesis of mechanisms and robot manipulators. Trans ASME 117:71–79CrossRef Raghavan M, Roth B (1995) Solving polynomial systems for the kinematic analysis and synthesis of mechanisms and robot manipulators. Trans ASME 117:71–79CrossRef
58.
Zurück zum Zitat Rolland L (2001) Introduction to algebraic methods for solving the forward kinematics problem of parallel robots applied to high throughput and high accuracy. In: 3rd European-Asian congress on mechatronics, Besancon, 9–11 October 2001 Rolland L (2001) Introduction to algebraic methods for solving the forward kinematics problem of parallel robots applied to high throughput and high accuracy. In: 3rd European-Asian congress on mechatronics, Besancon, 9–11 October 2001
59.
Zurück zum Zitat Rolland L (2005) Certified solving of the forward kinematics problem with an exact algebraic method for the general parallel manipulator. Adv Robot 19(9):995–1025CrossRef Rolland L (2005) Certified solving of the forward kinematics problem with an exact algebraic method for the general parallel manipulator. Adv Robot 19(9):995–1025CrossRef
60.
Zurück zum Zitat Rolland L (2008) Synthesis on modeling and certified solving of the kinematics problems of Gough-type parallel manipulator with an exact algebraic method. In: Wu H (ed) Parallel manipulators, towards new applications. I-Tech Education and Publishing, Vienna, pp 175–206 Rolland L (2008) Synthesis on modeling and certified solving of the kinematics problems of Gough-type parallel manipulator with an exact algebraic method. In: Wu H (ed) Parallel manipulators, towards new applications. I-Tech Education and Publishing, Vienna, pp 175–206
61.
Zurück zum Zitat Salerni G (1995) The linear delta. Technical report, University of Pisa Salerni G (1995) The linear delta. Technical report, University of Pisa
62.
Zurück zum Zitat Shulz et al (1999) Dynamic stiffness and contouring accuracy of a HSC linear motor machine. In: Proceedings of the 2nd international conference on high speed machining, vol 1. Darmstadt, pp 75–83 Shulz et al (1999) Dynamic stiffness and contouring accuracy of a HSC linear motor machine. In: Proceedings of the 2nd international conference on high speed machining, vol 1. Darmstadt, pp 75–83
63.
Zurück zum Zitat Shulz H, Gao H, Stanik B (1999) Analysis and optimization of the dynamic contouring accuracy using the example of a linear motor machine tool. In: Proceedings of the 2nd international conference on high speed machining, vol 1. Darmstadt, pp 107–115 Shulz H, Gao H, Stanik B (1999) Analysis and optimization of the dynamic contouring accuracy using the example of a linear motor machine tool. In: Proceedings of the 2nd international conference on high speed machining, vol 1. Darmstadt, pp 107–115
64.
Zurück zum Zitat Sen S, Dasgupta B, Mallik AK (2003) Variational approach for singularity-path planning of parallel manipulators. Mech Mach Theory 38(11):1165–1183CrossRefMATHMathSciNet Sen S, Dasgupta B, Mallik AK (2003) Variational approach for singularity-path planning of parallel manipulators. Mech Mach Theory 38(11):1165–1183CrossRefMATHMathSciNet
65.
Zurück zum Zitat Shaw D, Chen Y-S (2001) Cutting path generation of the Stewart platform-based milling machine using an end-mill. Int J Prod Res 39(7):1367–1383CrossRef Shaw D, Chen Y-S (2001) Cutting path generation of the Stewart platform-based milling machine using an end-mill. Int J Prod Res 39(7):1367–1383CrossRef
66.
Zurück zum Zitat Soni AH, Tanasi GC, Varanasi S (1995) Closed-loop multi-degree freedom mechanisms for surface generation and patching in machining 3d surfaces. In: 9th IFToMM world congress on the theory of machines and mechanisms. Milan, 30 August-2 September pp 2668–2674 Soni AH, Tanasi GC, Varanasi S (1995) Closed-loop multi-degree freedom mechanisms for surface generation and patching in machining 3d surfaces. In: 9th IFToMM world congress on the theory of machines and mechanisms. Milan, 30 August-2 September pp 2668–2674
67.
Zurück zum Zitat Su H-J, Dietmaier P, McCarthy JM (2003) Trajectory planning for constrained parallel manipulators. ASME J Mech Des 125(4):709–716CrossRef Su H-J, Dietmaier P, McCarthy JM (2003) Trajectory planning for constrained parallel manipulators. ASME J Mech Des 125(4):709–716CrossRef
68.
Zurück zum Zitat Takeda Y (2005) Kinematic analysis of parallel mechanisms at singular points at which a connecting chain has local mobility. In: Computational kinematics, Cassino, 4–6 May 2005 Takeda Y (2005) Kinematic analysis of parallel mechanisms at singular points at which a connecting chain has local mobility. In: Computational kinematics, Cassino, 4–6 May 2005
69.
Zurück zum Zitat Taylor R (1979) Planning and execution of straight line manipulator. IBM J Res Dev 23(4):424–436CrossRef Taylor R (1979) Planning and execution of straight line manipulator. IBM J Res Dev 23(4):424–436CrossRef
70.
Zurück zum Zitat Tchon K et al (2012) Motion planning for parallel robots with non-holonomic joints. In: ARK, Innsbruck, 25–28 June 2012 pp 115–122 Tchon K et al (2012) Motion planning for parallel robots with non-holonomic joints. In: ARK, Innsbruck, 25–28 June 2012 pp 115–122
71.
Zurück zum Zitat Tournassoud P (1992) Planification et controle en robotique, application aux robots mobiles et manipulateurs. Robotique. Hermes, Paris, Traité des nouvelles technologies edition Tournassoud P (1992) Planification et controle en robotique, application aux robots mobiles et manipulateurs. Robotique. Hermes, Paris, Traité des nouvelles technologies edition
72.
Zurück zum Zitat Trinkle JC, Milgram RJ (2002) Complete path planning for closed kinematic chains with spherical joints. Int J Robot Res 21(9):773–789CrossRef Trinkle JC, Milgram RJ (2002) Complete path planning for closed kinematic chains with spherical joints. Int J Robot Res 21(9):773–789CrossRef
73.
Zurück zum Zitat Udupa SM (1977) Collision detection and avoidance in computer controlled manipulators. In: Proceedings of the international joint conference on artificial intelligence, pp 737–748 Udupa SM (1977) Collision detection and avoidance in computer controlled manipulators. In: Proceedings of the international joint conference on artificial intelligence, pp 737–748
74.
Zurück zum Zitat Ur-Rehman R, Caro S, Chablat D, Wenger P (2010) Multi-objective path placement of parallel kinematics machines based on energy consumption, shaking forces and maximum actuator torques: application to the Orthoglide. Mech Mach Theory 45(8):1125–1141CrossRefMATH Ur-Rehman R, Caro S, Chablat D, Wenger P (2010) Multi-objective path placement of parallel kinematics machines based on energy consumption, shaking forces and maximum actuator torques: application to the Orthoglide. Mech Mach Theory 45(8):1125–1141CrossRefMATH
75.
Zurück zum Zitat Vaca R, Aranda J, Thomas F (2012) Simplified Voronoi diagrams for motion planning of quadratically-solvable Gough-Stewart platforms. In: ARK, Innsbruck, 25–28 June 2012 pp 157–164 Vaca R, Aranda J, Thomas F (2012) Simplified Voronoi diagrams for motion planning of quadratically-solvable Gough-Stewart platforms. In: ARK, Innsbruck, 25–28 June 2012 pp 157–164
76.
Zurück zum Zitat Vaishnav RN, Magrab EB (1987) A general procedure to evaluate robot positioning error. Int J Robot Res 6(1):59–74CrossRef Vaishnav RN, Magrab EB (1987) A general procedure to evaluate robot positioning error. Int J Robot Res 6(1):59–74CrossRef
77.
Zurück zum Zitat Yakey JH et al (2001) Randomized path planning for linkages with closed kinematic chains. IEEE Trans Robot Autom 17(6):951–958CrossRef Yakey JH et al (2001) Randomized path planning for linkages with closed kinematic chains. IEEE Trans Robot Autom 17(6):951–958CrossRef
Metadaten
Titel
Path Planning Kinematics Simulation of CNC Machine Tools Based on Parallel Manipulators
verfasst von
Luc Rolland
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-14705-5_6

Neuer Inhalt