Planar Transition Curves Using Quartic Bezier Spiral

Authors

  • Azhar Ahmad
  • Jamaluddin M. Ali

Keywords:

Transition curve, curvature, quartic Bezier spiral

Abstract

A method to construct the transition curves by using a family of the quartic Bezier spiral is described. The applications of quartic spiral discussed are G2 transition curve joining a straight line and a circle, and joining two straight lines with a pair of spiral segment. A spiral is a curve of monotone increasing or monotone decreasing curvature of one sign. Thus, a spiral cannot have an inflection point or curvature extreme. The family of quartic Bezier spiral form which was introduced has more degrees of freedom and will give a better approximation to clothoid spiral. These methods of constructing transition curves can be simplified by transformation process which extends the application area, and it gives a family of transition curves that allow more flexible curve designs.

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Author Biographies

Azhar Ahmad

Fakulti Sains dan Matematik, Universiti Pendidikan Sultan Idris, 35900 Tanjung Malim, Perak, Malaysia.

Jamaluddin M. Ali

Pusat Pengajian Sains Matematik, Universiti Sains Malaysia, 11800 Minden, Pulau Pinang, Malaysia.

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Published

2019-01-19

How to Cite

Ahmad, A., & M. Ali, J. (2019). Planar Transition Curves Using Quartic Bezier Spiral. Journal of Science and Mathematics Letters, 2(1), 78–85. Retrieved from https://ojs.upsi.edu.my/index.php/JSML/article/view/452