Transmission angle in compliant four-bar mechanism
Source abstract
Abstract
© 2023, The Author(s), under exclusive licence to Springer Nature B.V.Compliant mechanisms have increasing popularity. However, very few studies are available on transmission characteristics of compliant mechanisms in the literature. For conventional rigid-body mechanisms, the transmission angle is used to define motion quality. On contrary, the classic transmission angle formula cannot easily be employed for compliant mechanisms, unlike rigid-body mechanisms. This paper, a generalized equation that defines the transmission angle of all types of compliant four-bar mechanisms is introduced. For all configurations of partially compliant four-bar mechanisms, the formula is altered. Four theorems in some special cases are devised. Deviation of the transmission angle of a fully compliant four-bar mechanism from its rigid-body counterpart is discussed. Finally, a prototype is built and the theoretical approaches are compared with experimental results. To the best of our knowledge, this is the first study on the transmission angle of a compliant four-bar mechanism.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Piezoelectric Actuators and Control · Robotic Mechanisms and Dynamics · Iterative Learning Control Systems
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (24)
Show source-provided references
1. Alt, V.: Der ubertragungswinkel und seine bedeutung fur dar konstruieren periodischer getriebe. Werksstattstechnik 26, 61–65 (1932)
2. Balli, S.S., Chand, S.: Transmission angle in mechanisms (Triangle in mech). Mech. Mach. Theory 37(2), 175–195 (2002)10.1016/S0094-114X(01)00067-2 ↗
3. Chau, N.L., Tran, N.T., Dao, T.-P.: An optimal design method for compliant mechanisms. Math. Probl. Eng. (2021). https://doi.org/10.1155/2021/559962410.1155/2021/5599624 ↗
4. Frecker, M.I., Ananthasuresh, G.K., Nishiwaki, S., Kikuchi, N., Kota, S.: Topological synthesis of compliant mechanisms using multi-criteria optimization. J. Mech. Des. 119(2), 238–245 (1997)10.1115/1.2826242 ↗
5. Garcia, M., McFall, K., Tekes, A.: Trajectory control of planar closed chain. J. Mech. Sci. Technol. 35(4), 1711–1721 (2021)10.1007/s12206-021-0334-5 ↗
6. Hall, A.: Kinematics and Linkage Design. Pentice-Hall, New Jersey (1961)10.1115/1.3641809 ↗
7. Hibbeler, R.C.: Engineering Mechanics Dynamics. Pearson, London (2016)
8. Howell, L.L.: Compliant Mechanisms. Wiley, New York (2002)
9. Howell, L.L., Midha, A.: A method for the design of compliant mechanisms with small length flexural pivots. J. Mech. Des. 116, 280–290 (1994)10.1115/1.2919359 ↗
10. Karakuş, R., Tanık, E.: Novel compliant wiper mechanism. Mech. Sci. 9, 327–336 (2018)10.5194/ms-9-327-2018 ↗
11. Khorshidi, M., Soheilypour, M., Peyro, M., Atai, A., Panahi, S.: Optimal design of four-bar mechanisms using a hybrid multi-objective GA with adaptive local search. Mech. Mach. Theory 46, 1453–1465 (2011)10.1016/j.mechmachtheory.2011.05.006 ↗
12. Lan, C.: Analysis of large-displacement compliant mechanisms using an incremental linearization approach. Mech. Mach. Theory 3(45), 641–658 (2008)10.1016/j.mechmachtheory.2007.03.010 ↗
13. Lobontiu, N.: Compliant Mechanisms, Design of Flexural Hinges. CRC Press, New York (2003)
14. Lodagala, V., Karthik, K., Midha, A.: Limitations in the use of small-length flexural pivot in a pseudo-rigid-body model. In: ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering. Doi:https://doi.org/10.1115/DETC2015-4791410.1115/DETC2015-47914 ↗
15. Tanık, E.: Transmission angle in compliant slider-crank mechanism. Mech. Mach. Theory. 46(11), 1623–1632 (2011)10.1016/j.mechmachtheory.2011.07.001 ↗
16. Tanık, Ç.M., Yazıcıoğlu, Y., Parlaktaş, V., Tanık, E.: On the analysis and design of a fully compliant large stroke slider-crank (rocker) mechanism. Mech. Sci. 11(1), 29–38 (2020)10.5194/ms-11-29-2020 ↗
17. Tekes, A., Lin, H., McFall, K.: Design, modelling and experimentation of a novel compliant. J. Mech. Sci. Technol. 33(7), 3137–3145 (2019)10.1007/s12206-019-0609-2 ↗
18. Venanzi, P.G.V.P.-C.S.: A novel technique for position analysis of planar compliant mechanisms. Mech. Mach. Theory 11(40), 1224–1239 (2005)10.1016/j.mechmachtheory.2005.01.009 ↗
19. Wang, M.Y., Chen, S., Wang, X., Mei, Y.: Design of multimaterial compliant mechanisms using level-set methods. J. Mech. Des. 127(5), 941–956 (2005)10.1115/1.1909206 ↗
20. Xie, Y., Yu, J., Zhao, H.: Deterministic design for a compliant parallel universal joint with constant rotational stiffness. J. Mech. Robot. 10(3), 031006 (2018)10.1115/1.4039065 ↗
21. Xu, H., Gana, J., Zhangb, X.: A generalized pseudo-rigid-body PPRR model for both straight and circular beams in compliant mechanisms. Mech. Mach. Theory (2020). https://doi.org/10.1016/j.mechmachtheory.2020.10405410.1016/j.mechmachtheory.2020.104054 ↗
22. Yang, S., Xu, Q.: Design and development of a dual-axis force sensing MEMS microgripper. J. Mech. Robot. 9(6), 061011 (2017)10.1115/1.4038010 ↗
23. Zhao, K., Schmiedeler, J.P.: Using rigid-body mechanism topologies to design path generating compliant mechanisms. J. Mech. Robot. 8, 014506 (2015)10.1115/1.4030623 ↗
24. Zhu, S.-K., Yu, Y.-Q.: Pseudo-rigid-body model for the flexural beam with an inflection point in compliant mechanisms. J. Mech. Robot. 9(3), 031005 (2017)10.1115/1.4035986 ↗