Abstract
This paper discusses the equivalence condition of the input and output rotation of a passive rotational joint and provides a general method to compute the output rotation angle. In a Stewart-Gough platform, the fixed base platform is usually connected to the moveable manipulator platform by six identical kinematic chains consisting of rotational joints and linear actuators. When using lead screws for the linear actuators, possible passive rotations of the rotational joints can be harmful because they may lead to additional length variations of the linear actuators or cause extra stresses if the rotations are obstructed. This paper provides a for computing these passive rotations by using vector comparison and demonstrates its application on the examples of a universal joint, a Rzeppa joint, and a Tracta joint.
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References
Du, S., Schlattmann, J., Schulz, S., Seibel, A.: Passive rotation compensation in parallel kinematics using quaternions. Applied Mathematics and Mechanics 16(1), 51–52 (2016)
Du, S., Schlattmann, J., Schulz, S., Seibel, A.: Comparison of three methods of length compensation in a parallel kinematic and their equivalence conditions. MEAE 2018, MATEC Web Conf. p. 198 02003 (2018)
Fenaille, M.P.: Double cardan sph´erique pour automobiles a` roues avant motrices et di-rectrices (1927). Patent. FR 628309.
Geisthoff, H.: Double hookes joint (1986). Patent. DE 3636194C1.
Gogu, G.: Structural synthesis of parallel robots: part 1 – methodology. Springer-Verlag, Dordrecht (2008)
Hunt, K.H.: Constant velocity shaft coupling: a general theory. Journal of Engineering for Industry 95(2), 455–464 (1973)
Molly, H., Bengisu, O.: Das Gleichgang-Gelenk im Symmetriespiegel. Automob. Ind. 14(2), 45–54 (1969). In German.
Orain, M.: Die Gleichlaufgelenke, allgemeine Theorie und experimentelle Forschung. Glaenzer-Spicer, Paris (1976)
Pennestr`ı, E., Rossi, V., Salvini, P., Valentini, P.P., Pulvirenti, F.: Review and kinematics of Rzeppa-type homokinetic joints with straight crossed tracks. Mechanism and Machine Theory 90(1), 142–161 (2015)
Riebe, S., Ulbrich, H.: Modelling and online computation of the dynamics of a parallel kinematic with six degrees-of-freedom. Archive of Applied Mechanics 72(11–12), 817–829 (2003)
Rzeppa, A.H.: Constant velocity universal joint (1928). Patent. US 1665280.
Schmelz, F., Seherr-Thoß, H.C.: Die Entwicklung der Gleichlaufgelenke für den Frontantrieb. VDI-Report 418, 197–207 (1981). In German.
Schulz, S., Seibel, A., Schlattmann, J.: Closed-form solution for the direct kinematics problem of planar 3-RPR parallel mechanisms. In: IEEE International Conference on Robotics and Automation (ICRA), pp. 968–973. Brisbane, Australia (2018)
Schulz, S., Seibel, A., Schlattmann, J.: Solution for the direct kinematics problem of the general Stewart-Gough platform by using only linear actuators’ orientations. In: J. Lenarčič, V. Parenti-Castelli (eds.) Advances in Robot Kinematics 2018, pp.56–64. Springer, The Netherlands (2019)
Schulz, S., Seibel, A., Schreiber, D., Schlattmann, J.: Sensor concept for solving the direct kinematics problem of the Stewart-Gough platform. In: IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 1959–1964. Vancouver, BC, Canada (2017)
Seherr-Thoß, H.C., Schmelz, F., Aucktor, E.: Universal joints and driveshafts: analysis, design, applications. Springer-Verlag, Berlin Heidelberg New York (2006)
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This work was supported by the German Research Foundation (DFG) under grant SCHL 275/15-1.
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Du, S., Schlattmann, J., Schulz, S., Seibel, A. (2019). Passive Rotation of Rotational Joints and Its Computation Method. In: Uhl, T. (eds) Advances in Mechanism and Machine Science. IFToMM WC 2019. Mechanisms and Machine Science, vol 73. Springer, Cham. https://doi.org/10.1007/978-3-030-20131-9_36
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DOI: https://doi.org/10.1007/978-3-030-20131-9_36
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