Abstract
A modular method for symbolic kinematic modelling of multiloop mechanisms is outlined. For a given mechanism, the method identifies automatically a list of modules for which closure equations can be generated and solved hierarchically. Closed-form solutions can be obtained in many cases of practical interest.
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References
Andrez, E., Losco, L., Andre, P., and Taillard J.P., 1985, “Generation Automatique et Simplification des Equations Litterales des Systemes Mecaniques Articules”, Mech. Mach. Theory, Vol. 20, pp. 199–208
Bona, C., Galletti, C., and Lucifredi, A., 1973 “Computer-Aided Automatic Design”, Mech. Mach. Theory, Vol. 8, pp. 437–456
Brat„ V., and Leder, P., 1973, “KIDYAN: Computer-Aided Kinematic and Dynamic Analysis of Planar Mechanisms”, Mech. Mach. Theory, Vol. 8, pp. 457–467
Fanghella, P., 1993, “Systematic Kinematics of Robot Arms”, Technical Report IMAGE L5–93-PF, Univ. Genova, Genoa, I
Fanghella, P., and Galletti, C., 1989,. “Particular or General Methods in Robot Kinematics?”, Mech. Mach. Theory, Vol. 24, pp. 383–394
Fanghella, P., and Galletti, C., 1990, “Kinematics of Robot Mechanisms With Closed Actuating Loops”, Int. Jl of Robotics Research, Vol. 6, pp. 19–24
Fanghélla, PP , and Galletti, C., 1991,“Mobility Analysis of Single-loop Kinematic Chains: an Algorithmic Approach Based on Displacement Groups”, Technical Report IMAGE L5–92-PFCG, Univ. Genova, Genoa, I
Fanghella, P., and Galletti, C., 1992, “Hierarchical Generation of Independent Loops for Symbolic Kinematics of Robot Mechanisms”, 3rd Int. Workshop Advances in Robot Kinematics, J. Lenarcic and V. Parenti-Castelli, ed., Felloni, Ferrara, I, pp. 96–103
Galletti, C., 1986, “A Note on Modular Approaches to Planar Linkage Kinematic Analysis”, Mech. Mach. Theory, Vol. 21, pp. 385–391
Giannotti, E., Galletti, C., 1993, “A Hypertext Environment for Simulation of Multibody Mechanical Systems”, Proc. Hypermedia in Vaasa 93, M. Linna and P. Ruotsala eds. Vaasa Inst. Technology, Vaasa, SF, pp. 96–102
Halperin, D., 1991, “Automatic Kinematic Modelling of Robot Manipulators and Symbolic Generation of their Inverse Kinematics Solutions”, Advances in Robot Kinematics, S. Stifter and J. Lenarcic ed., Springer-Verlag, Berlin, FRG, pp. 310–317
Haug, E.J., 1989, Computer Aided Kinematics and Dynamics of Mechanical Systems, Allvn & Bacon, Boston, MA
Ferrera-Bendezu, L., Mu, E., and Cain, J., 1988, “Symbolic Computation of Robot Manipulator Kinematics”, Proc. IEEE Int. Conf. Robotics and Automation, pp. 993–998
Herve’, J., 1978, “Analyse Structurelle des Mecanismes par Groupe des Deplacements”, Mech. Mach. Theory, Vol .13, pp. 437–450
Hiller, M., and Woerine, C., 1987, “A Systematic Approach for Solving the Inverse Kinematic Problem of Robot Manipulators”, Proc. 7th Conf. Th. Mach. Mech., Sevilla, E, pp. 215–221
Hunt, K. H., 1986, “The particular or the General? Some Examples from Robot Kinematics”, Mech. Mach. Theory, Vol. 21, pp. 481–487
Litvin, F.L., 1975. Simplification of the matrix method of linkage analysis by division into unclosed kinematic chains”, Mech. Mach. Theory, Vol .10, pp. 315–326
Rieseler, H., Schrake, H., and Wahl, F, 1991, “Symbolic Computation of Closed Form Solutions with Prototype Equations”, Advances in Robot Kinematics, S. Stifter and J. Lenarcic eds. Springer-Verlag. Berlin, FRG, pp. 343–351
Rossi, A., iFanghella, P., and Giannotti, E., 1981, “An Interactive Computer Package for Planar Mechanism Analysis”, Proc. II Int. Conf. Eng. Software, R. Adey ed., CML, Southampton, UK, pp. 193–203
Schielen, W., 1990, Multibody Systems Handbook, Springer-Verlag, Berlin, FRG
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Fanghella, P., Galletti, C. (1993). A Modular Method for Computational Kinematics. In: Angeles, J., Hommel, G., Kovács, P. (eds) Computational Kinematics. Solid Mechanics and Its Applications, vol 28. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8192-9_25
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DOI: https://doi.org/10.1007/978-94-015-8192-9_25
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4342-9
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