Characteristic directions of closed planar homothetic motions

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Tutar A., Şener Ö., Inan E.

International Journal of Applied Mathematics, vol.31, no.2, pp.199-210, 2018 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 2
  • Publication Date: 2018
  • Doi Number: 10.12732/ijam.v31i2.3
  • Journal Name: International Journal of Applied Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.199-210
  • Keywords: Homothetic motions, Planar kinematics, Polar moment of inertia, Steiner formula
  • Ondokuz Mayıs University Affiliated: Yes


In this paper, during one-parameter closed planar homothetic motions, the Steiner area formula and the polar moment of inertia were expressed. The Steiner point or Steiner normal concepts were described according to whether rotation number is different zero or equal to zero, respectively. The moving pole point was given with its components and its relation between Steiner point or Steiner normal was specified. The sagittal motion of a telescopic crane was considered as an example. This motion was described by a double hinge consisting of the fixed control panel of telescopic crane and the moving arm of telescopic crane. The results obtained in the first section of this study were applied for this motion.