Abstract
The link truss was defined by analyzing the kinematics of the basic unit of the crank group mechanism, and summarized the structure unity in the crank group mechanisms with different topological structure. The calculation method was given for the number of the public constraints, that of the redundant constraints, and the DOF of the crank group mechanism with any number of crank by screw theory. The results show that the method reduces the number of the mechanism members, avoids the tedious calculations and achieves the unified description of DOF of the crank group mechanism with any number of the cranks based the link truss and the screw theory.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Wenxin LU (1996) Design and application of single-link and multi-crank mechanism in crank driving for multi-axle box. J Changzhou Ind Technol Coll (Natural Science Edition) 9(2):46–51 (in Chinese)
Wang Y, Cao J (2013) Study on the motion feature of crank-group driving mechanism. J Mech Transm 37(10):79–81 (in Chinese)
Ren S, Cao J, Liu Y (2015) Inertia force balance of crank-group driving mechanism based on crank unit. J Light Ind Mach 33(1):8–10 (in Chinese)
Barton LO (2008) Mechanism analysis of a trisector. J Mech Mach Theory 43(2):115–122
Wang Y, Cao J (2013) The overview of crank-group driving mechanism. J Mech Transm 37(4):134–136 (in Chinese)
Liu Z, Feng Z (1990) Theoretical study of integral balancing of first-order reciprocal inertia of small-sized single-cylinder horizontal engine. J Agric Mach 3:23–28 (in Chinese)
Ren S, Cao J (2014) DOF analysis of crank-group drive mechanism based on the theory of parallel mechanism. J Mach Des Res 30(4):14–16 (in Chinese)
Lvzhong MA, Xie J, Yin X (2015) Theory and design of machines and mechanisms. Machinery Industry Press, Beijing, pp 60–61 (in Chinese)
Han Q, Li T (2015) A new universal formula of degree of freedom for planar mechanism. J Mech Transm 39(3):153–157 (in Chinese)
Huang Z, Liu J, Zeng X (2009) The general method of DOF of mechanism based on the constraint screw. J Sci Chin 39(1):84–93 (in Chinese)
Cai H, Fu O, Liao M (2011) Comparable study and application on new and old formulas of calculating DOFs of mechanisms and structures. Chin Mech Eng 22(1):35–38 (in Chinese)
Guo S, Fang Y, Yue C (2009) Structure synthesis of single closed-loop multi-degree of freedom of over-constrained mechanism based on screw theory. J Mech Eng 45(11):38–45 (in Chinese)
Lu W, Zhang L, Zeng X, Zhang Y (2014) Research on application of GOM formula—a novel mobility formula. Chin Mech Eng 25(17):2283–2289 (in Chinese)
Zheng H, Yongsheng Z, Tieshi Z (2014) Higher spatial organization, 2nd edn. Higher Education Press, Beijing, pp 121–122 (in Chinese)
Acknowledgments
This work is supported by the NSFC (Grant No. 51175313).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Liu, Y., Cao, J., Ren, S. (2017). Unified Description of DOF of Crank Group Mechanism Based Screw Theory. In: Zhang, X., Wang, N., Huang, Y. (eds) Mechanism and Machine Science . ASIAN MMS CCMMS 2016 2016. Lecture Notes in Electrical Engineering, vol 408. Springer, Singapore. https://doi.org/10.1007/978-981-10-2875-5_46
Download citation
DOI: https://doi.org/10.1007/978-981-10-2875-5_46
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-2874-8
Online ISBN: 978-981-10-2875-5
eBook Packages: EngineeringEngineering (R0)