Characteristic Directions of Closed Planar Homothetic Inverse Motions

Abstract

In this paper, during one-parameter closed planar homothetic inverse 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 fixed pole point was given with its components and its relation between Steiner point or Steiner normal was specified. The sagittal motion of a crane was considered as an example. This motion was described by a double hinge consisting of the fixed control panel of crane and the moving arm of crane. The results obtained in the first sections of this study were applied for this motion.

Keywords

• Steiner formula,polar moment of inertia,planar kinematics,homothetic inverse motions

References

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