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Evaluating the Knot Vector to Synthesize the Cam Motion Using NURBS

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Book cover Computational Kinematics

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 50))

Abstract

A Non Uniform Rational B-Spline (NURBS) is used for synthesizing the motion curve of cam mechanisms because it is flexible and satisfies arbitrary boundary conditions from the working requirement of machinery systems. For using NURBS curve as motion curves of cam mechanisms, selecting the knot vector is very important. This work presents the effect of the knot vector on the displacement, velocity, acceleration, and jerk curves. The linear system of equations for solving the cam motion is also presented. A general computation of the knot vector of NURBS for synthesizing the motion curve is presented. Several examples illustrate this research.

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References

  1. Shigley, J.E., Uicker, J.: Theory of Machines and Mechanisms. McGraw-Hill Inc., New York (1981)

    Google Scholar 

  2. Norton, R.L.: Design of Machinery: An Introduction to the Synthesis and Analysis of Mechanisms and Machines, 2nd edn. McGraw-Hill, New York (1999)

    Google Scholar 

  3. Norton, R.L.: Cam Design and Manufacturing Handbook. Industrial Press, New York (2002)

    Google Scholar 

  4. Piegl, L., Tiller, W.: The Nurbs Book, 2nd edn. Springer, Heidelberg (1997)

    Book  MATH  Google Scholar 

  5. De Boor, C.R.: A Practical Guide to Splines. Springer, New York (1978)

    Book  MATH  Google Scholar 

  6. Shamsuddin, S.M.H., Ahmed, M.A.: A hybrid parameterization method for NURBS. In: Proceedings of the International Conference on Computer Graphics, Imaging and Visualization (CGIV’04), pp. 15–20 (2004)

    Google Scholar 

  7. Saux, E., Daniel, M.: Estimating criteria for fitting B-spline curves: Application to data compression. In: International Conference Graphicon, pp. 225–232 (1998)

    Google Scholar 

  8. Tsay, D.M., Huey, C.O.: Cam motion synthesis using spline function. J. Mech. Transmissions Autom. Des. 110, 161–165 (1988)

    Article  Google Scholar 

  9. Tsay, D.M., Lin, B.J.: Improving the geometry design of cylindrical cams using nonparametric rational B-splines. Comput.-Aided Des. 28, 5–15 (1996)

    Article  MATH  Google Scholar 

  10. Sateesh, N.: Improvement in motion characteristics of cam-follower systems using NURBS. Int. J. Des. Manuf. Technol. 8, 15–21 (2014)

    Article  Google Scholar 

  11. Sahu, L.K., Gupta, O.P., Sahu, M.: Design of cam profile using higher order B-spline. Int. J. Innovative Sci. Eng. Technol. 13, 327–335 (2016)

    Google Scholar 

  12. Sandgren, E., West, R.L.: Shape optimization of cam profile using a B-spline representation. J. Mech. Transmissions Autom. Des. 111, 195–201 (1989)

    Article  Google Scholar 

  13. Naskar, T.K., Mishra, R.: Introduction of control points in B-spline for synthesis of ping finite optimized cam motion program. J. Mech. Sci. Technol. 26, 489–494 (2012)

    Article  Google Scholar 

  14. Lee, E.T.Y.: Choosing nodes in parametric curve interpolation. Comput.-Aided Des. 6, 363–370 (1989). Boeing Comerical Airplanes

    Article  MATH  Google Scholar 

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Correspondence to T. T. N. Nguyen .

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Nguyen, T.T.N., Kurtenbach, S., Hüsing, M., Corves, B. (2018). Evaluating the Knot Vector to Synthesize the Cam Motion Using NURBS. In: Zeghloul, S., Romdhane, L., Laribi, M. (eds) Computational Kinematics. Mechanisms and Machine Science, vol 50. Springer, Cham. https://doi.org/10.1007/978-3-319-60867-9_24

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  • DOI: https://doi.org/10.1007/978-3-319-60867-9_24

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60866-2

  • Online ISBN: 978-3-319-60867-9

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