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2019 | OriginalPaper | Chapter

Creative Design of 2-DOF, 7-Link Multiloop Robotic Mechanisms

Authors : Vladimir Pozhbelko, Ekaterina Kuts

Published in: Mechanism, Machine, Robotics and Mechatronics Sciences

Publisher: Springer International Publishing

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Abstract

Structural synthesis of kinematic chains and multiple DOF multiloop mechanisms with specified input parameters is the first and the most important stage in the mechanical conceptual creative design of robots. This paper proposes a new approach to structural synthesis and creative design of closed-loop robotic mechanism with simple and multiple joints based on an original addition synthesis method. First, the structural synthesis method of non-fractionated and fractionated multiple joint kinematic chains with the smallest closed loop is presented. Then, the complete atlas database of all feasible 12 types of 2-DOF, 7-link, 2-basic (independent) loops generalized simple and multiple joint kinematic chain and corresponding atlas of hinged mechanisms are obtained. Third, based on classified atlas databases of kinematic chains and mechanisms with simple and multiple joints, a creative design method is proposed to obtain all the feasible mechanisms for a specified task. Finally, examples of the creative design of single arm robot manipulators are also conducted to demonstrate the effectiveness of the proposed method.

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Literature
1.
go back to reference Erdman AG, Sandor G (1984) Mechanism design: analysis and synthesis. Prentice-Hall, Englewood Cliffs, New Jersey Erdman AG, Sandor G (1984) Mechanism design: analysis and synthesis. Prentice-Hall, Englewood Cliffs, New Jersey
2.
go back to reference Uicker JJ, Pennock GR, Shingley JE (2003) Theory of machines and mechanisms. Oxford University Press, New York Uicker JJ, Pennock GR, Shingley JE (2003) Theory of machines and mechanisms. Oxford University Press, New York
3.
go back to reference Hunt KH (1978) Kinematic geometry of mechanisms. Oxford University Press, New YorkMATH Hunt KH (1978) Kinematic geometry of mechanisms. Oxford University Press, New YorkMATH
4.
go back to reference Crossley FRE (1964) A contribution to Gruebler’s theory in the number synthesis of plane mechanisms. ASME J Eng Ind 86(1):1–8MathSciNetCrossRef Crossley FRE (1964) A contribution to Gruebler’s theory in the number synthesis of plane mechanisms. ASME J Eng Ind 86(1):1–8MathSciNetCrossRef
5.
go back to reference Manolescu NI (1973) A method based on Baranov trusses and using graph theory to find the set of planar jointed kinematic chains and mechanisms. Mech Mach Theory 8(1):3–22CrossRef Manolescu NI (1973) A method based on Baranov trusses and using graph theory to find the set of planar jointed kinematic chains and mechanisms. Mech Mach Theory 8(1):3–22CrossRef
6.
go back to reference Butcher EA, Hartman C (2005) Efficient enumeration and hierarchical classification of planar simple-jointed kinematic chains: Application to 12-and 14-bar single degree-of-freedom chains. Mech Mach Theory 40(9):1030–1050CrossRef Butcher EA, Hartman C (2005) Efficient enumeration and hierarchical classification of planar simple-jointed kinematic chains: Application to 12-and 14-bar single degree-of-freedom chains. Mech Mach Theory 40(9):1030–1050CrossRef
7.
go back to reference Dobrjanskyj L, Freudenstein F (1967) Some applications of graph theory to the structural analysis of mechanisms. ASME J Eng Ind 89(1):153–158CrossRef Dobrjanskyj L, Freudenstein F (1967) Some applications of graph theory to the structural analysis of mechanisms. ASME J Eng Ind 89(1):153–158CrossRef
8.
go back to reference Tuttle ER, Peterson SW, Titus JE (1989) Enumeration of basic kinematic chains using the theory of finite group. J Mech Trans Autom 111(4): 498–503CrossRef Tuttle ER, Peterson SW, Titus JE (1989) Enumeration of basic kinematic chains using the theory of finite group. J Mech Trans Autom 111(4): 498–503CrossRef
9.
go back to reference Yan HS, Hwang YW (1990) Number synthesis of kinematic chains based on permutation groups. Math Comput Model 13(8):29–42MathSciNetCrossRef Yan HS, Hwang YW (1990) Number synthesis of kinematic chains based on permutation groups. Math Comput Model 13(8):29–42MathSciNetCrossRef
10.
go back to reference Hwang WM, Hwang YW (1992) Computer-aided structural synthesis of planar kinematic chains with simple joints. Mech Mach Theory 27(2):189–199CrossRef Hwang WM, Hwang YW (1992) Computer-aided structural synthesis of planar kinematic chains with simple joints. Mech Mach Theory 27(2):189–199CrossRef
11.
go back to reference Yan HS, Chiu YT (2015) On the number synthesis of kinematic chains. Mech Mach Theory 89(7):128–144CrossRef Yan HS, Chiu YT (2015) On the number synthesis of kinematic chains. Mech Mach Theory 89(7):128–144CrossRef
12.
go back to reference Yan HS (1998) Creative design of mechanical devices. Springer, Singapore Yan HS (1998) Creative design of mechanical devices. Springer, Singapore
13.
go back to reference Tsai LW (2001) Mechanism design: enumeration of kinematic structures according to function. CRC Press, Florida Tsai LW (2001) Mechanism design: enumeration of kinematic structures according to function. CRC Press, Florida
14.
go back to reference Tsai LW (1999) Robot analysis: the mechanics of serial and parallel manipulators. Wiley, New York Tsai LW (1999) Robot analysis: the mechanics of serial and parallel manipulators. Wiley, New York
15.
go back to reference Ceccarelli M (2004) Fundamentals of mechanics of robotic manipulation. Kluwer Academic Publishers, DordrechtCrossRef Ceccarelli M (2004) Fundamentals of mechanics of robotic manipulation. Kluwer Academic Publishers, DordrechtCrossRef
16.
go back to reference Ghosal A (2006) Robotics: fundamental concepts and analysis. Oxford University Press, Oxford, UK Ghosal A (2006) Robotics: fundamental concepts and analysis. Oxford University Press, Oxford, UK
17.
go back to reference Angeles J 2007 Fundamentals of robotic mechanical systems. Theory, methods and algorithms. Springer, New York Angeles J 2007 Fundamentals of robotic mechanical systems. Theory, methods and algorithms. Springer, New York
18.
go back to reference Simoni R, Carboni AP, Martins D (2009) Enumeration of kinematic chains and mechanisms. Proc Inst Mech Eng Part C J Mech Eng Sci 223(4):1017–1024CrossRef Simoni R, Carboni AP, Martins D (2009) Enumeration of kinematic chains and mechanisms. Proc Inst Mech Eng Part C J Mech Eng Sci 223(4):1017–1024CrossRef
19.
go back to reference Simoni R, Carboni AP, Simas H, Martins D (2011) Enumeration of kinematic chains and mechanisms review. In: 13th world congress in mechanism and machine science, Guanajuato, México, 19–25 June, 2011 Simoni R, Carboni AP, Simas H, Martins D (2011) Enumeration of kinematic chains and mechanisms review. In: 13th world congress in mechanism and machine science, Guanajuato, México, 19–25 June, 2011
20.
go back to reference Ding H, Hou F, Kecskemethy A, Huang Z (2011) Synthesis of a complete set of contracted graphs for planar non-fractionated simple-jointed kinematic chains with all possible DOFs. Mech Mach Theory 46(11):1588–1600CrossRef Ding H, Hou F, Kecskemethy A, Huang Z (2011) Synthesis of a complete set of contracted graphs for planar non-fractionated simple-jointed kinematic chains with all possible DOFs. Mech Mach Theory 46(11):1588–1600CrossRef
21.
go back to reference Ding HF, Huang P, Zi B, Kecskemethy A (2012) Automatic synthesis of kinematic structures of mechanisms and robots especially for those with complex structures. Appl Math Model 36(12):6122–6131MathSciNetCrossRef Ding HF, Huang P, Zi B, Kecskemethy A (2012) Automatic synthesis of kinematic structures of mechanisms and robots especially for those with complex structures. Appl Math Model 36(12):6122–6131MathSciNetCrossRef
22.
go back to reference Ding HF, Hou FM, Kecskeméthy A, Huang Z (2012) Synthesis of the whole family of planar 1-DOF kinematic chains and creation of their atlas database. Mech Mach Theory 47(1):1–15CrossRef Ding HF, Hou FM, Kecskeméthy A, Huang Z (2012) Synthesis of the whole family of planar 1-DOF kinematic chains and creation of their atlas database. Mech Mach Theory 47(1):1–15CrossRef
23.
go back to reference Ding HF, Zi B, Huang P, Kecskeméthy A (2013) The whole family of kinematic structures for planar 2-and 3-DOF fractionated kinematic chains. Mech Mach Theory 70(12):74–90CrossRef Ding HF, Zi B, Huang P, Kecskeméthy A (2013) The whole family of kinematic structures for planar 2-and 3-DOF fractionated kinematic chains. Mech Mach Theory 70(12):74–90CrossRef
24.
go back to reference Yan HS, Hsu CH (1988) Contracted graphs of kinematic chains with multiple joints. Math Comput Model 10(9):681–695MathSciNetCrossRef Yan HS, Hsu CH (1988) Contracted graphs of kinematic chains with multiple joints. Math Comput Model 10(9):681–695MathSciNetCrossRef
25.
go back to reference Chu I, Cao W (1998) Systemics of Assur groups with multiple joints. Mech Mach Theory 33(8):1127–1133CrossRef Chu I, Cao W (1998) Systemics of Assur groups with multiple joints. Mech Mach Theory 33(8):1127–1133CrossRef
26.
go back to reference Hsu CH (1992) Enumeration of basic kinematic chains with simple and multiple joints. J Franklin Inst 329(4):775–789CrossRef Hsu CH (1992) Enumeration of basic kinematic chains with simple and multiple joints. J Franklin Inst 329(4):775–789CrossRef
27.
go back to reference Ding H, Zhao J, Huang Z (2010) Unified structural synthesis of planar simple and multiple joint kinematic chains. Mech Mach Theory 45(4):555–568CrossRef Ding H, Zhao J, Huang Z (2010) Unified structural synthesis of planar simple and multiple joint kinematic chains. Mech Mach Theory 45(4):555–568CrossRef
28.
go back to reference Chu J, Zou Y (2014) An algorithm for structural synthesis of planar simple and multiple joint kinematic chains. Proc Inst Mech Eng Part C J Mech Eng Sci 228(12):2178–2192 Chu J, Zou Y (2014) An algorithm for structural synthesis of planar simple and multiple joint kinematic chains. Proc Inst Mech Eng Part C J Mech Eng Sci 228(12):2178–2192
29.
go back to reference Ermoshina E, Pozhbelko V (2017) Structural synthesis, mobility analysis and creation of complete atlas of multiloop planar multiple-jointed kinematic chains on base all possible sets of color multiple joints for industrial applications. In: Wenger P, Flores P (eds) New trends in mechanism and machine science–Theory and industrial applications. Mechanism and machine science, vol 43. Springer, pp 375–382 Ermoshina E, Pozhbelko V (2017) Structural synthesis, mobility analysis and creation of complete atlas of multiloop planar multiple-jointed kinematic chains on base all possible sets of color multiple joints for industrial applications. In: Wenger P, Flores P (eds) New trends in mechanism and machine science–Theory and industrial applications. Mechanism and machine science, vol 43. Springer, pp 375–382
30.
go back to reference Pozhbelko V, Ermoshina E (2015) Number structural synthesis and enumeration process of all possible sets of multiple joints for 1-DOF up to 5-loop 12-link mechanisms on base of new mobility equation. Mech Mach Theory 90(8):108–127CrossRef Pozhbelko V, Ermoshina E (2015) Number structural synthesis and enumeration process of all possible sets of multiple joints for 1-DOF up to 5-loop 12-link mechanisms on base of new mobility equation. Mech Mach Theory 90(8):108–127CrossRef
31.
go back to reference Pozhbelko V (2016) A unified structure theory of multibody open, closed loop and mixed mechanical systems with simple and multiple joint kinematic chains. Mech Mach Theory 100(6):1–16CrossRef Pozhbelko V (2016) A unified structure theory of multibody open, closed loop and mixed mechanical systems with simple and multiple joint kinematic chains. Mech Mach Theory 100(6):1–16CrossRef
Metadata
Title
Creative Design of 2-DOF, 7-Link Multiloop Robotic Mechanisms
Authors
Vladimir Pozhbelko
Ekaterina Kuts
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-319-89911-4_14

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