Abstract
The type synthesis is a fundamental phase in the design of parallel mechanisms. The type synthesis process consists of a systematic approach to generate all possible mechanical structures that are capable of performing a determined movement. The type synthesis presents two main steps: (1) generation of limbs and (2) assembly of parallel manipulators. There are basically three main approaches for type synthesis of parallel mechanisms: screw theory, lie group of rigid body displacements and evolutionary morphology. This paper presents a new method that combines screw theory and characteristics of genetic algorithms. Using the proposed method, it was generated new solutions of 3-DOF limbs (2R1T and 1R2T) for parallel manipulators.
Similar content being viewed by others
Notes
The helical joint presents coupled movements. When such joint moves, translation and rotation occur simultaneously. This means that the rotation and translation depend on each other.
References
Ahmadi NK, Zarei F, Taghirad HD (2016) Type synthesis of 2r-t parallel mechanisms based on the screw theory for haptic applications. In: 2016 4th International Conference on Robotics and Mechatronics (ICROM) pp 495–500
Aimedee F, Gogu G, Dai JS, Bouzgarrou C, Bouton N (2016) Systematization of morphing in reconfigurable mechanisms. Mech Mach Theory 96:215–224
Ball RS (1900) A treatise on the theory of screws. Cambridge University Press, Cambridge
Chen Z, Li Y, Huang Z, Kong X (2018) Type synthesis of 3-rsr equivalent 2r1t parallel mechanisms. In: ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, American Society of Mechanical Engineers Digital Collection
Gogu G (2005) Evolutionary morphology: a structured approach towards inventive engineering design. In: Bramley A, Brissaud D, Coutellier D, McMahon C (eds) Advances in Integrated Design and Manufacturing in Mechanical Engineering. Springer, Dordrecht, pp 389–402
Gogu G (2008) Structural synthesis of parallel robots: part 1: methodology. Springer, Dordrecht
Gogu G (2009) Structural synthesis of parallel robots: Part 2: translational topologies with two and three degrees of freedom. Springer, Dordrecht
Gogu G (2010) Structural synthesis of parallel robots: Part 3: topologies with planar motion of the moving platform. Springer, Dordrecht
Gogu G (2015) Structural synthesis of parallel robots: part 5: basic overconstrained topologies with schönflies motions. Springer, Dordrecht
Hervé JM (1978) Analyse structurelle des mecanismes par groupe des diplacements. Mech Mach Theory 13:437–450
Hervé JM (1994) The mathematical group structure of the set of displacements. Mech Mach Theory 29:73–81
Hervé JM (1999) The lie group of rigid body displacements, a fundamental tool for mechanism design. Mech Mach Theory 34:719–730
Hervé JM, Sparacino F (1991) Structural synthesis of parallel robots generating spatial translation. In: International Conference in Advanced Robotics 1:808–813
Kong X, Gosselin CM (2004) Type synthesis of 3T1R 4-DOF parallel manipulators based on screw theory. IEEE Trans Robot Autom 20:181–190
Kong X, Gosselin CM (2005) Type synthesis of 5-DOF parallel manipulators based on screw theory. J Robot Syst 22:535–547
Kong X, Gosselin CM (2006a) Type synthesis of 4-DOF SP-equivalent parallel manipulators: a virtual chain approach. Mech Mach Theory 41:1306–1319
Kong X, Gosselin CM (2006b) Type synthesis of three-DOF UP-equivalent parallel manipulators using a virtual-chain approach. In: Advances in Robot Kinematics, pp 123–132
Kong X, Gosselin CM (2007) Type synthesis of parallel mechanisms. Springer, Heidelberg
Kong X, Jin Y (2016) Type synthesis of 3-dof multi-mode translational/spherical parallel mechanisms with lockable joints. Mech Mach Theory 96(Part 2):323–333
Kong X, Pfurner M (2015) Type synthesis and reconfiguration analysis of a class of variable-dof single-loop mechanisms. Mech Mach Theory 85:116–128
Li Q, Huang Z, Hervé JM (2004) Displacement manifold method for type synthesis of lower-mobility parallel mechanisms. Sci China Ser E Eng Mater Sci 47(6):641–650
Li Q, Hervé JM, Ye W (2020a) Fundamental of group theory. Geometric method for type synthesis of parallel manipulators. Springer, Berlin, pp 23–35
Li Q, Hervé JM, Ye W (2020b) Type synthesis of 4-dof 2r2t parallel mechanisms. In: Geometric Method for Type Synthesis of Parallel Manipulators, Springer, pp 87–99
Mozzi G (1763) Discorso matematico sopra il rotamento momentaneo dei corpi. Kessinger Publishing LLC, Whitefish
Siciliano B, Khatib O (2008) Springer handbook of robot. Springer, Heidelberg
Yang S, Sun T, Huang T, Li Q, Gu D (2016) A finite screw approach to type synthesis of three-dof translational parallel mechanisms. Mech Mach Theory 104:405–419
Ye W, Li Q (2019) Type synthesis of lower mobility parallel mechanisms: a review. Chin J Mech Eng 32(1):38
Zhang X, Mu D, Zhang Y, You H, Wang H (2019) Type synthesis of multi-loop spatial mechanisms with three translational output parameters based on virtual-loop theory and assur groups. Robotica 37(6):1104–1119. https://doi.org/10.1017/S0263574718001480
Author information
Authors and Affiliations
Corresponding author
Additional information
Technical Editor: Adriano Almeida Gonçalves Siqueira.
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Borges Dos Santos, J.V., Simoni, R., Carboni, A.P. et al. A new method for type synthesis of parallel mechanisms using screw theory and features of genetic algorithms. J Braz. Soc. Mech. Sci. Eng. 42, 615 (2020). https://doi.org/10.1007/s40430-020-02675-x
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s40430-020-02675-x