Citation: Nadia Alluhaibi. Ruled surfaces with constant Disteli-axis[J]. AIMS Mathematics, 2020, 5(6): 7678-7694. doi: 10.3934/math.2020491
[1] | R. A. Abdel-Baky, Inflection and torsion line Congruences, J. Geom. Graph., 11 (2007), 1-14. |
[2] | R. A. Abdel-Baky, On the curvature theory of a line trajectory in spatial kinematics, Commun. Korean Math. Soc., 34 (2019), 333-349. |
[3] | R. A. Abdel-Baky, R. A. Al-Ghefari, On the one-parameter dual spherical motions, Comput. Aided Geom. Design, 28 (2011), 23-37. |
[4] | R. A.Abdel-Baky, F. R. Al-Solamy, A new geometrical approach to one-parameter spatial motion, J. Eng. Math., 60 (2008), 149-172. |
[5] | R. A. Al-Ghefari, R. A. Abdel-Baky, Kinematic geometry of a line trajectory in spatial motion, J. Mech. Sci. Technol., 29 (2015), 3597-3608. |
[6] | O. Bottema, B. Roth, Theoretical Kinematics, North-Holland Press, New York, 1979. |
[7] | G. Figliolini, H. Stachel, J. Angeles, On Martin Disteli's spatial cycloidal gearing, Mech. Machine Theory, 60 (2012), 73-89. |
[8] | G. Figliolini, H. Stachel, J. Angeles, A new look at the Ball-Disteli diagram and its relevance to spatial gearing, Mech. Machine Theory, 42 (2007), 1362-1375. |
[9] | D. B. Dooner, M. W. Griffis, On spatial Euler-savary equations for envelopes, ASME J. Mech. Design, 129 (2006), 865-875. |
[10] | A. Karger, J. Novak, Kinematics and Lie Groups, Gordon and Breach Science Publishers, New York, 1985. |
[11] | H. Pottman, J. Wallner, Computational Line Geometry, Springer-Verlag, Berlin, Heidelberg, 2001. |
[12] | H. Stachel, Instantaneous Spatial Kinematics and the Invariants of the Axodes, Institute fur Geometrie, TU Wien, Technical Report 34, 1996. |
[13] | J. Tölke, Contributions to the theory of the axes of curvature, Mech. Machine Theory, 11 (1976), 123-130. |
[14] | D. Wang, J. Liu, D. Xiao, A unified curvature theory in kinematic geometry of mechanism, Sci. China (Series E), 41 (1998), 196-202. |
[15] | D. Wang, J. Liu, D. Xiao, Geometrical characteristics of some typical spatial constraints, Mech. Machine Theory, 35 (2000), 1413-1430. |