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2010 | OriginalPaper | Buchkapitel

9. Design Optimization of Parallel Robotic Machines

verfasst von : Dan Zhang

Erschienen in: Parallel Robotic Machine Tools

Verlag: Springer US

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Abstract

Optimization plays an important role in engineering design problems; it deals with problems of minimizing or maximizing a function with several variables. The purpose of optimization design is aiming at enhancing the performance indices by adjusting the structure parameters such as link length, radii of fixed platform and moving platform, and its distance between the center points of the two platforms. The approach can been called dimensional-synthesis-based performance optimization of parallel manipulator. In the optimum design process, several performance criteria could be involved for a design purpose, such as stiffness, dexterity, accuracy, workspace, etc.

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Literatur
1.
Zurück zum Zitat Merlet JP (2000) Parallel robots. Kluwer, New York (in the hardcopy, it is ref. [108]) Merlet JP (2000) Parallel robots. Kluwer, New York (in the hardcopy, it is ref. [108])
2.
Zurück zum Zitat Ares J, Brazales A, Busturia JM (2001) Tuning and validation of the motion platform washout filter parameters for a driving simulator. In: Driving simulation conference, pp 295–304 Ares J, Brazales A, Busturia JM (2001) Tuning and validation of the motion platform washout filter parameters for a driving simulator. In: Driving simulation conference, pp 295–304
5.
Zurück zum Zitat Holland JH (1975) Adaptation in natural and artificial systems. The University of Michigan Press, Ann Arbor, MI Holland JH (1975) Adaptation in natural and artificial systems. The University of Michigan Press, Ann Arbor, MI
6.
Zurück zum Zitat Abbasi WA, Ridgeway SC, Adsit PD, Crane CD, Duffy J (1997) Investigation of a special 6-6 parallel platform for contour milling. In: Proceedings of the ASME – manufacturing science and engineering division, pp 373–380 Abbasi WA, Ridgeway SC, Adsit PD, Crane CD, Duffy J (1997) Investigation of a special 6-6 parallel platform for contour milling. In: Proceedings of the ASME – manufacturing science and engineering division, pp 373–380
7.
Zurück zum Zitat Akima T, Tarao S, Uchiyama M (1999) Hybrid micro-gravity simulator consisting of a high-speed parallel robot. In: Proceedings of IEEE International conference on robotics and automation, pp 901–906 Akima T, Tarao S, Uchiyama M (1999) Hybrid micro-gravity simulator consisting of a high-speed parallel robot. In: Proceedings of IEEE International conference on robotics and automation, pp 901–906
10.
Zurück zum Zitat Angeles J (1997) Fundamentals of robotic mechanical systems: theory, methods, and algorithms. Springer, New YorkMATH Angeles J (1997) Fundamentals of robotic mechanical systems: theory, methods, and algorithms. Springer, New YorkMATH
14.
Zurück zum Zitat Asada H, Cro Granito JA (1985) Kinematics and statics characterization of wrist joints and their optimal design. In: Proceedings of the IEEE international conference on robotics and automation, pp 244–250 Asada H, Cro Granito JA (1985) Kinematics and statics characterization of wrist joints and their optimal design. In: Proceedings of the IEEE international conference on robotics and automation, pp 244–250
15.
Zurück zum Zitat Bailey P (1994) The merits of hexapods for robotics applications. In: Conference on next steps for industrial robotics, pp 11–16 Bailey P (1994) The merits of hexapods for robotics applications. In: Conference on next steps for industrial robotics, pp 11–16
16.
Zurück zum Zitat Baker JE (1992) On mobility and relative freedoms in multiloop linkages and structures. Mech Mach Theory 16(6):583–597CrossRef Baker JE (1992) On mobility and relative freedoms in multiloop linkages and structures. Mech Mach Theory 16(6):583–597CrossRef
18.
Zurück zum Zitat Behi F (1988) Kinematic analysis for a six-degree-of-freedom 3-prps parallel mechanism. IEEE J Robot Autom 4(5):561–565CrossRef Behi F (1988) Kinematic analysis for a six-degree-of-freedom 3-prps parallel mechanism. IEEE J Robot Autom 4(5):561–565CrossRef
19.
Zurück zum Zitat Bergamaschi PR et al (2006) Design and optimization of 3r manipulators using the workspace features. Appl Math Comput 172:439–463MATHCrossRefMathSciNet Bergamaschi PR et al (2006) Design and optimization of 3r manipulators using the workspace features. Appl Math Comput 172:439–463MATHCrossRefMathSciNet
20.
Zurück zum Zitat Bi ZM, Lang SYT (2009) Joint workspace of parallel kinematic machines. Robot Comput Integr Manuf 25(1):57–63CrossRef Bi ZM, Lang SYT (2009) Joint workspace of parallel kinematic machines. Robot Comput Integr Manuf 25(1):57–63CrossRef
21.
Zurück zum Zitat Bi ZM, Lang SYT, Zhang D, Orban PE, Verner M (2007) An integrated design toolbox for tripod-based parallel kinematic machines. Trans ASME J Mech Des 129:799–807CrossRef Bi ZM, Lang SYT, Zhang D, Orban PE, Verner M (2007) An integrated design toolbox for tripod-based parallel kinematic machines. Trans ASME J Mech Des 129:799–807CrossRef
22.
Zurück zum Zitat Bianchi G, Fassi I, Molinari-Tosatti L (2000) A virtual prototyping environment for pkm analysis and design. In: Proceedings of year 2000 parallel kinematic machines international conference Bianchi G, Fassi I, Molinari-Tosatti L (2000) A virtual prototyping environment for pkm analysis and design. In: Proceedings of year 2000 parallel kinematic machines international conference
23.
Zurück zum Zitat Boeij J, Lomonova EA, Andre JA (2008) Optimization of contactless planar actuator with manipulator. IEEE T Magn 44(6):1118–1121CrossRef Boeij J, Lomonova EA, Andre JA (2008) Optimization of contactless planar actuator with manipulator. IEEE T Magn 44(6):1118–1121CrossRef
25.
Zurück zum Zitat Boudreau R, Gosselin CM (1998) The synthesis of planar parallel manipulators with a genetic algorithm. In: Proceedings of the ASME design engineering technical conference, Atlanta, GA Boudreau R, Gosselin CM (1998) The synthesis of planar parallel manipulators with a genetic algorithm. In: Proceedings of the ASME design engineering technical conference, Atlanta, GA
26.
Zurück zum Zitat Boudreau R, Turkkan N (1996) Solving the forward kinematics of parallel manipulators with a genetic algorithm. J Robot Syst 13(2):111–125MATHCrossRef Boudreau R, Turkkan N (1996) Solving the forward kinematics of parallel manipulators with a genetic algorithm. J Robot Syst 13(2):111–125MATHCrossRef
29.
Zurück zum Zitat Ceccarelli M, Lanni C (2004) A multi-objective optimum design of general 3r manipulators for prescribed workspace limits. Mech Mach Theory 39:119–132MATHCrossRefMathSciNet Ceccarelli M, Lanni C (2004) A multi-objective optimum design of general 3r manipulators for prescribed workspace limits. Mech Mach Theory 39:119–132MATHCrossRefMathSciNet
30.
Zurück zum Zitat Cervantes-Sánchez JJ, Rendón-Sánchez JG (1999) A simplified approach for obtaining the workspace of a class of 2-dof planar parallel manipulators. Mech Mach Theory 34:1057–1073MATHCrossRef Cervantes-Sánchez JJ, Rendón-Sánchez JG (1999) A simplified approach for obtaining the workspace of a class of 2-dof planar parallel manipulators. Mech Mach Theory 34:1057–1073MATHCrossRef
31.
Zurück zum Zitat Chablat D, Angeles J (2002) On the kinetostatic optimization of revolute-coupled planar manipulators. Mech Mach Theory 37:351–374MATHCrossRefMathSciNet Chablat D, Angeles J (2002) On the kinetostatic optimization of revolute-coupled planar manipulators. Mech Mach Theory 37:351–374MATHCrossRefMathSciNet
32.
Zurück zum Zitat Chen IM (1994) Theory and application of modular reconfigurable robotic systems. PhD thesis, California Institute of Technology Chen IM (1994) Theory and application of modular reconfigurable robotic systems. PhD thesis, California Institute of Technology
33.
Zurück zum Zitat Chen NX, Song SM (1992) Direct position analysis of the 4–6 stewart platform. Robot Spat Mech Mech Syst 45:75–80 Chen NX, Song SM (1992) Direct position analysis of the 4–6 stewart platform. Robot Spat Mech Mech Syst 45:75–80
34.
Zurück zum Zitat Chi YL (1999) Systems and methods employing a rotary track for machining and manufacturing. WIPO Patent No. WO 99/38646 Chi YL (1999) Systems and methods employing a rotary track for machining and manufacturing. WIPO Patent No. WO 99/38646
35.
Zurück zum Zitat Chirikjian GS (1995) Hyper-redundant manipulator dynamics: a continuum approximation. Adv Robot 9(3):217–243CrossRef Chirikjian GS (1995) Hyper-redundant manipulator dynamics: a continuum approximation. Adv Robot 9(3):217–243CrossRef
38.
Zurück zum Zitat Company O, Pierrot F (2002) Modelling and design issues of a 3-axis parallel machine-tool. Mech Mach Theory 37(11):1325–1345MATHCrossRef Company O, Pierrot F (2002) Modelling and design issues of a 3-axis parallel machine-tool. Mech Mach Theory 37(11):1325–1345MATHCrossRef
40.
Zurück zum Zitat Culpepper ML, Anderson G (2004) Design of a low-cost nano-manipulator which utilizes a monolithic, spatial compliant mechanism. J Precis Eng 28(4):469–482CrossRef Culpepper ML, Anderson G (2004) Design of a low-cost nano-manipulator which utilizes a monolithic, spatial compliant mechanism. J Precis Eng 28(4):469–482CrossRef
42.
Zurück zum Zitat Davidor Y (1991) Genetic algorithms and robotics: a heuristic strategy for optimization. World Scientific, SingaporeMATH Davidor Y (1991) Genetic algorithms and robotics: a heuristic strategy for optimization. World Scientific, SingaporeMATH
43.
Zurück zum Zitat Davis L (1991) Handbook of genetic algorithms. Van Nostrand Reinhold, New York Davis L (1991) Handbook of genetic algorithms. Van Nostrand Reinhold, New York
45.
Zurück zum Zitat Fassi I, Tosatti LM, Negri S, Bernardo GD, Bianchi G (1999) A concept for a computer aided configuration tool for parallel kinematic machines. In: ICAR’99, pp 563–567 Fassi I, Tosatti LM, Negri S, Bernardo GD, Bianchi G (1999) A concept for a computer aided configuration tool for parallel kinematic machines. In: ICAR’99, pp 563–567
46.
Zurück zum Zitat Fedewa D, Mehrabi M, Kota S, Gopalakrishnan V (2000) Design of a parallel structure ficture for reconfigurable machining systems. In: Proceedings of the 2000 Japan–USA flexible automation conference, pp 216–221 Fedewa D, Mehrabi M, Kota S, Gopalakrishnan V (2000) Design of a parallel structure ficture for reconfigurable machining systems. In: Proceedings of the 2000 Japan–USA flexible automation conference, pp 216–221
47.
Zurück zum Zitat Ferraresi C, Pastorelli S, Zhmud N (1995) Static and dynamic behavior of a high stiffness stewart platform-based force/torque sensor. J Robot Syst 12(10):883–893CrossRef Ferraresi C, Pastorelli S, Zhmud N (1995) Static and dynamic behavior of a high stiffness stewart platform-based force/torque sensor. J Robot Syst 12(10):883–893CrossRef
48.
Zurück zum Zitat Fichter EF (1986) A stewart platform-based manipulator: general theory and practical construction. Int J Robot Res 5(2):157–182CrossRef Fichter EF (1986) A stewart platform-based manipulator: general theory and practical construction. Int J Robot Res 5(2):157–182CrossRef
49.
Zurück zum Zitat Fogel LJ, Owens AJ, Walsh MJ (1966) Artificial intelligence through simulated evolution. Wiley, New YorkMATH Fogel LJ, Owens AJ, Walsh MJ (1966) Artificial intelligence through simulated evolution. Wiley, New YorkMATH
50.
Zurück zum Zitat Gallardo-Alvarado J, Rico-Martnez JM, Alici G (2006) Kinematics and singularity analyses of a 4-dof parallel manipulator using screw theory. Mech Mach Theory 41:1048–1061MATHCrossRefMathSciNet Gallardo-Alvarado J, Rico-Martnez JM, Alici G (2006) Kinematics and singularity analyses of a 4-dof parallel manipulator using screw theory. Mech Mach Theory 41:1048–1061MATHCrossRefMathSciNet
51.
Zurück zum Zitat Gen M, Cheng R (1997) Genetic algorithms and engineering design. Wiley, New York Gen M, Cheng R (1997) Genetic algorithms and engineering design. Wiley, New York
52.
Zurück zum Zitat Golbabai A, Seifollahi S (2007) Radial basis function networks in the numerical solution of linear integro-differential equations. Appl Math Comput 188:427–432MATHCrossRefMathSciNet Golbabai A, Seifollahi S (2007) Radial basis function networks in the numerical solution of linear integro-differential equations. Appl Math Comput 188:427–432MATHCrossRefMathSciNet
53.
Zurück zum Zitat Goldberg D (1989) Genetic algorithms in search, optimization and machine learning. Addison-Wesley, Reading, MAMATH Goldberg D (1989) Genetic algorithms in search, optimization and machine learning. Addison-Wesley, Reading, MAMATH
54.
Zurück zum Zitat Goldberg DE, Samtani MP (1986) Engineering optimization via genetic algorithm. In: Ninth conference on electronic computation, pp 471–482 Goldberg DE, Samtani MP (1986) Engineering optimization via genetic algorithm. In: Ninth conference on electronic computation, pp 471–482
55.
Zurück zum Zitat Gopalakrishnan V, Kota S (1998) A parallely actuated work support module for reconfigurable machining systems. In: Proceedings of 1998 ASME design engineering technical conferences, pp 1–9 Gopalakrishnan V, Kota S (1998) A parallely actuated work support module for reconfigurable machining systems. In: Proceedings of 1998 ASME design engineering technical conferences, pp 1–9
56.
Zurück zum Zitat Gosselin CM (1988) Kinematic analysis,optimization and programming of parallel robotic manipulators. PhD thesis, McGill University Gosselin CM (1988) Kinematic analysis,optimization and programming of parallel robotic manipulators. PhD thesis, McGill University
60.
Zurück zum Zitat Gosselin CM, Guillot M (1991) The synthesis of manipulators with prescribed workspace. ASME J Mech Des 113:451–455CrossRef Gosselin CM, Guillot M (1991) The synthesis of manipulators with prescribed workspace. ASME J Mech Des 113:451–455CrossRef
64.
Zurück zum Zitat Gupta S, Tiwari R, Nair SB (2007) Multi-objective design optimization of rolling bearings using genetic algorithms. Mech Mach Theory 42:1418–1443MATHCrossRef Gupta S, Tiwari R, Nair SB (2007) Multi-objective design optimization of rolling bearings using genetic algorithms. Mech Mach Theory 42:1418–1443MATHCrossRef
65.
Zurück zum Zitat Hafez M, Lichter MD, Dubowsky S (2003) Optimized binary modular reconfigurable robotic devices. IEEE Trans Mechatron 8(1):152–162 Hafez M, Lichter MD, Dubowsky S (2003) Optimized binary modular reconfigurable robotic devices. IEEE Trans Mechatron 8(1):152–162
66.
67.
Zurück zum Zitat Harary F (1969) Graph theory. Addison-Wesley, Reading, MA Harary F (1969) Graph theory. Addison-Wesley, Reading, MA
68.
Zurück zum Zitat Heisel U (1999) Precision requirements of hexapod-machines and investigation results. In: Boër CR, Molinari-Tosatti L, Smith KS (eds) Parallel kinematic machines – theoretical aspects and industrial requirements. Springer, Berlin, pp 131–150 Heisel U (1999) Precision requirements of hexapod-machines and investigation results. In: Boër CR, Molinari-Tosatti L, Smith KS (eds) Parallel kinematic machines – theoretical aspects and industrial requirements. Springer, Berlin, pp 131–150
69.
Zurück zum Zitat Holland JH (1975) Adaptation in natural and artificial systems. The University of Michigan Press, Ann Arbor, MI Holland JH (1975) Adaptation in natural and artificial systems. The University of Michigan Press, Ann Arbor, MI
70.
Zurück zum Zitat Hollingum J (1997) Features: Hexapods to take over? Ind Robot 24:428–431CrossRef Hollingum J (1997) Features: Hexapods to take over? Ind Robot 24:428–431CrossRef
81.
Zurück zum Zitat Joines J, Houck C (1994) On the use of non-stationary penalty functions to solve constrained optimization problems with genetic algorithms. In: 1994 IEEE international symposium evolutionary computation, Orlando, FL, pp 579–584 Joines J, Houck C (1994) On the use of non-stationary penalty functions to solve constrained optimization problems with genetic algorithms. In: 1994 IEEE international symposium evolutionary computation, Orlando, FL, pp 579–584
88.
Zurück zum Zitat Koza JR (1991) Evolving a computer program to generate random numbers using the genetic programming paradigm. In: Proceedings of 4th international conference on genetic algorithms, pp 37–44 Koza JR (1991) Evolving a computer program to generate random numbers using the genetic programming paradigm. In: Proceedings of 4th international conference on genetic algorithms, pp 37–44
89.
Zurück zum Zitat Kucuk S, Bingul Z (2005) Robot workspace optimization based on a novel local and global performance indices. In: IEEE ISIE, pp 20–23 Kucuk S, Bingul Z (2005) Robot workspace optimization based on a novel local and global performance indices. In: IEEE ISIE, pp 20–23
107.
Zurück zum Zitat Michalewicz Z (1994) Genetic algorithms + data structures = evolution programs. AI Series. Springer, New York Michalewicz Z (1994) Genetic algorithms + data structures = evolution programs. AI Series. Springer, New York
108.
Zurück zum Zitat Mitchell JH, Jacob R, Mika N (2006) Optimization of a spherical mechanism for a minimally invasive surgical robot: theoretical and experimental approaches. IEEE T Biomed Eng 53(7):1440–445CrossRef Mitchell JH, Jacob R, Mika N (2006) Optimization of a spherical mechanism for a minimally invasive surgical robot: theoretical and experimental approaches. IEEE T Biomed Eng 53(7):1440–445CrossRef
110.
Zurück zum Zitat Nearchou AC (1998) Solving the inverse kinematics problem of redundant robots operating in complex environments via a modified genetic algorithm. Mech Mach Theory 33(3):273–292MATHCrossRefMathSciNet Nearchou AC (1998) Solving the inverse kinematics problem of redundant robots operating in complex environments via a modified genetic algorithm. Mech Mach Theory 33(3):273–292MATHCrossRefMathSciNet
115.
Zurück zum Zitat Pedrajas NG, Martnez CH, Perez JM (2002) Multi-objective cooperative coevolution of artificial neural networks. Neural Netw 15:1259–1278CrossRef Pedrajas NG, Martnez CH, Perez JM (2002) Multi-objective cooperative coevolution of artificial neural networks. Neural Netw 15:1259–1278CrossRef
124.
Zurück zum Zitat Houck CR, Joines JA, Kay MG (1995) A genetic algorithm for function optimization: a matlab implementation. Technical report, North Carolina State University Houck CR, Joines JA, Kay MG (1995) A genetic algorithm for function optimization: a matlab implementation. Technical report, North Carolina State University
126.
Zurück zum Zitat Rechenberg L (1973) Evolutionsstrategie: Optimierung Technischer Systeme nach Prinzipien der Biologischen Evolution. Frommann-Holzboog, Stuttgart Rechenberg L (1973) Evolutionsstrategie: Optimierung Technischer Systeme nach Prinzipien der Biologischen Evolution. Frommann-Holzboog, Stuttgart
131.
Zurück zum Zitat Rout BK, Mittal RK (2008) Parametric design optimization of 2-dof r-r planar manipulator: a design of experiment approach. Robot Comput Integr Manuf 24:239–248CrossRef Rout BK, Mittal RK (2008) Parametric design optimization of 2-dof r-r planar manipulator: a design of experiment approach. Robot Comput Integr Manuf 24:239–248CrossRef
138.
Zurück zum Zitat Stock M, Miller K (2003) Optimal kinematic design of spatial parallel manipulators: application to linear delta robot. J Mech Des Trans ASME 125:292–301CrossRef Stock M, Miller K (2003) Optimal kinematic design of spatial parallel manipulators: application to linear delta robot. J Mech Des Trans ASME 125:292–301CrossRef
141.
Zurück zum Zitat Takasaki S, Kawamura Y (2007) Using radial basis function networks and significance testing to select effective sirna sequences. Comput Stat Data Anal 51:6476–6487MATHCrossRefMathSciNet Takasaki S, Kawamura Y (2007) Using radial basis function networks and significance testing to select effective sirna sequences. Comput Stat Data Anal 51:6476–6487MATHCrossRefMathSciNet
157.
Zurück zum Zitat Winter G, Periaux, Galan M, Cuesta P (1995) Genetic algorithms in engineering and computer science. Wiley, Chichester Winter G, Periaux, Galan M, Cuesta P (1995) Genetic algorithms in engineering and computer science. Wiley, Chichester
166.
Zurück zum Zitat Yu A, Bonev IA, Paul ZM (2008) Geometric approach to the accuracy analysis of a class of 3-dof planar parallel robots. Mech Mach Theory 43(3):364–375MATHCrossRef Yu A, Bonev IA, Paul ZM (2008) Geometric approach to the accuracy analysis of a class of 3-dof planar parallel robots. Mech Mach Theory 43(3):364–375MATHCrossRef
170.
Zurück zum Zitat Zhang D (2000) Kinetostatic analysis and optimization of parallel and hybrid architectures for machine tools. Laval University, Canada Zhang D (2000) Kinetostatic analysis and optimization of parallel and hybrid architectures for machine tools. Laval University, Canada
178.
Zurück zum Zitat Zhang D, Wang LH, Esmailzadeh E (2006) Pkm capabilities and applications exploration in a collaborative virtual environment. Robot Comput Integr Manuf 22:384–395CrossRef Zhang D, Wang LH, Esmailzadeh E (2006) Pkm capabilities and applications exploration in a collaborative virtual environment. Robot Comput Integr Manuf 22:384–395CrossRef
182.
Zurück zum Zitat Zhao JS, Zhang SL, Dong JX, Feng ZJ, Zhou K (2007) Optimizing the kinematic chains for a spatial parallel manipulator via searching the desired dexterous workspace. Robot Comput Integr Manuf 23:38–46CrossRef Zhao JS, Zhang SL, Dong JX, Feng ZJ, Zhou K (2007) Optimizing the kinematic chains for a spatial parallel manipulator via searching the desired dexterous workspace. Robot Comput Integr Manuf 23:38–46CrossRef
Metadaten
Titel
Design Optimization of Parallel Robotic Machines
verfasst von
Dan Zhang
Copyright-Jahr
2010
Verlag
Springer US
DOI
https://doi.org/10.1007/978-1-4419-1117-9_9

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