Abstract
Mobility is a very important parameter for mechanisms, and many methods for calculating the mobility of mechanisms have been proposed till now since it came to be drawn attention in the middle of 19th century. The CKG formula is widely used in the textbook, manuals and applications. However, it has been proved repeatedly to fail to deal with many classical linkages and modern spatial mechanisms as well. On the other hand, although many modifications or extensions of CKG formulas have been proposed, all of them aim at calculating the number of mobility but ignoring other mobility information, such as type, direction and location of motion. Compared with the existing CKG formulas, the analytical method is regarded as a more general and reliable method which could obtain the full information of mobility. By using this method, this paper investigated the instantaneous motion of a 2-RCR mechanism that the number of its mobility is invariable but the type is variable corresponding to different configurations.
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References
Ionescu, T.G.: Terminology for Mechanisms and Machine Science. Mech. Mach. Theory 38, 774 (2003)
Zhao, J.S., Feng, Z.J., Ma, N., Chu, F.L.: Advanced Theory of Constraint and Motion Analysis for Robot Mechanisms. Elsevier (2014)
Zhao J. S., Feng Z. J., Ma N., Chu F. L.: Design of Special Planar Linkages. Springer (2013)
Hunt, K.H.: Kinematic Geometry of Mechanisms. Oxford University Press, Oxford (1978)
Hervé, J.M.: Intrinsic Formulation of Problems of Geometry and Kinematics of Mechanisms. Mech. Mach. Theory 17(3), 179–184 (1982)
Sugimoto, K., Duffy, J.: Application of Linear Algebra to Screw Systems. Mech. Mach. Theory 17(1), 73–83 (1982)
Mohamed, M.G., Duffy, J.: Direct Determination of the Instantaneous Kinematics of Fully Parallel Robot Manipulators. J. Mech. Trans. Autom. in Des. 107(2), 226–229 (1985)
Dai, J.S., Huang, Z., Lipkin, H.: Mobility of Overconstrained Parallel Mechanisms. J. Mech. Des 128, 220–229 (2006)
Huang, Z.: Theory of Parallel Mechanisms. Springer (2013)
Kong, X.W., Gosselin, C.M.: Type Synthesis of Parallel Mechanisms. Springer (2007)
Rico, J.M., Ravani, B.: On Mobility Analysis of Linkages Using Group Theory. J. Mech. Des. 125(1), 70–80 (2003)
Rico, J.M., Aguilera, L.D., et al.: A More General Mobility Criterion for Parallel Platforms. J. Mech. Des. 128(1), 207–219 (2005)
Gogu, G.: Mobility of Mechanisms: ACritical Review. Mech. Mach. Theory 40, 1068–1097 (2005)
Zhang, Y.T., Mu, D.J.: New Concept and New Theory of Mobility Calculation for Multi-loop Mechanisms. Sci. China Technol. Sci. 53(6), 1598–1604 (2010)
Shukla, G., Whitney, D.E.: The Path Method for Analyzing Mobility and Constraint of Mechanisms and Assemblies. IEEE Trans. Autom. Sci. Eng 2(2), 184–192 (2005)
Yang, T.L., Sun, D.J.: A General Degree of Freedom Formula for Parallel Mechanisms and MultiloopSpatial Mechanisms. J. Mech. Robot. 4, 11001–1, 17 (2012)
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Liu, X., Zhao, J., Feng, Z. (2014). Instantaneous Motion of a 2-RCR Mechanism with Variable Mobility. In: Zhang, X., Liu, H., Chen, Z., Wang, N. (eds) Intelligent Robotics and Applications. ICIRA 2014. Lecture Notes in Computer Science(), vol 8917. Springer, Cham. https://doi.org/10.1007/978-3-319-13966-1_5
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DOI: https://doi.org/10.1007/978-3-319-13966-1_5
Publisher Name: Springer, Cham
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