Abstract
In high speed cam mechanism, dynamic characteristics are issues that are always taken care since these affect the vibration of cam systems. This paper deals with a knot vector optimization of NURBS for high speed cam in order to minimize contact force between a cam and follower. The NURBS curve is used for displacement motion of the follower. The cam motions are improved based on the optimization of the contact force. The influence of the knot vector on the motion curves (displacement, velocity, acceleration and jerk) was investigated. The results demonstrate that the kinematics and dynamics of high speed cam mechanisms were improved.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Norton, R.L.: Design of Machinery. McGraw-Hill (2003)
Uicker, J.J., Pennock, G.R., Shigley, J.E.: Theory of Machines and Mechanisms, 5th edn. United State of America by Oxford University Press, New York (2017)
Chen, H., Nguyen, T.T.N., et al.: Application of a Cam workbench for education in mechanical engineering. New Adv. Mech. Mech. Transm. Robot. Mech. Mach. Sci. 177–186 (2017). https://doi.org/10.1007/978-3-319-45450-4
Nguyen, T.T.N., Duong, T.X., Nguyen, V.S.: Design general Cam profiles based on finite element method. Appl. Sci. 11, 6052 (2021). https://doi.org/10.3390/app11136052
Al-Samarai, R.A., Al-Douri, Y., Haftirman, Ahmad, K.R.: Tribological properties of WS2 nanoparticles lubricants on aluminum-silicon alloy and carbon steels, Walailak J. Sci. Technol. 10, 277–287 (2013). https://doi.org/10.2004/wjst.v10i3.253
Mandal, M., Naskar, T.K.: Introduction of control points in splines for synthesis of optimized cam motion program. Mech. Mach. Theory 44, 255–271 (2009). https://doi.org/10.1016/j.mechmachtheory.2008.01.005
Gatti, G., Mundo, D.: On the direct control of follower vibrations in Cam-follower mechanisms. Mech. Mach. Theory 45, 23–35 (2010)
Nguyen, T.T.N., Kurtenbach, S., Hüsing, M., Corves, B.: Improving the kinematics of motion curves for Cam mechanisms using NURBS. In: Dede, M.I.C., İtik, M., Lovasz, E.-C., Kiper, G. (eds.) IFToMM 2017. MMS, vol. 52, pp. 79–88. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-60702-3_9
Nguyen, T.T.N., Kurtenbach, S., Hüsing, M., Corves, B.: Evaluating the knot vector to synthesize the Cam motion using NURBS. In: Zeghloul, S., Romdhane, L., Laribi, M.A. (eds.) Computational Kinematics. MMS, vol. 50, pp. 209–216. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-60867-9_24
Nguyen, T.T.N., Kurtenbach, S., Hüsing, M., Corves, B.: A general framework for motion design of the follower in Cam mechanisms by using non-uniform rational B-spline. Mech. Mach. Theory 137, 374–385 (2019)
Nguyen, T.T.N., Nguyen, V.S., Nguyen, T.B.N., Vu, T.L.: An evaluation of B-spline for synthesis of Cam motion with a large number of output conditions, pp. 173–180 (2020)
Hu, B., Zhou, C., Ma, L.: Dynamics model of a cam mechanism with an elastic oscillating roller follower. In: 2015 IFToMM World Congress Proceedings, IFToMM 2015, pp. 1–5 (2015). https://doi.org/10.6567/IFToMM.14TH.WC.FA.019
Kuang, J.H., Hsu, C.M., Hu, C.C.: Dynamic behavior of globoidal cam systems with torque compensation mechanisms. Mech. Mach. Theory 45, 1201–1214 (2010). https://doi.org/10.1016/j.mechmachtheory.2010.02.006
Kaplan, H.: Mathematical modeling and simulation of high-speed Cam mechanisms to minimize residual vibrations. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 228, 2402–2415 (2014). https://doi.org/10.1177/0954406213519436
Sateesh, N.: CAM-follower systems using nurbs, pp. 15–21 (2014)
Jamkhande, A.K., Tikar, S.S., Ramdasi, S.S., Marathe, N.V.: Design of high speed engine’s Cam profile using B-spline functions for controlled dynamics. SAE Technical Paper (2012)
Jiang, J.K., Iwai, Y.R.: Improving the B-spline method of dynamically-compensated cam design by minimizing or restricting vibrations in high-speed Cam-follower systems. J. Mech. Des. Trans. ASME 131, 0410031–0410038 (2009)
Xia, B.-Z., Liu, X.-C., Shang, X., Ren, S.-Y.: Improving cam profile design optimization based on classical splines and dynamic model. J. Cent. South Univ. 24(8), 1817–1825 (2017). https://doi.org/10.1007/s11771-017-3590-x
Acknowledgements
The authors thank Thai Nguyen University of Technology (TNUT) for supporting this work.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Nguyen, T.T.N., Nguyen, V.S., Tran, M.Q. (2022). Knot Vector Optimization of NURBS for High Speed Cam Mechanisms Based on Dynamic Characteristics. In: Nguyen, D.C., Vu, N.P., Long, B.T., Puta, H., Sattler, KU. (eds) Advances in Engineering Research and Application. ICERA 2021. Lecture Notes in Networks and Systems, vol 366. Springer, Cham. https://doi.org/10.1007/978-3-030-92574-1_58
Download citation
DOI: https://doi.org/10.1007/978-3-030-92574-1_58
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-92573-4
Online ISBN: 978-3-030-92574-1
eBook Packages: EngineeringEngineering (R0)