The Kinetic Energy Formula for the Closed Planar Homothetic Inverse Motions in Complex Plane

Onder Sener, Ayhan Tutar^*

Department of Mathematics, Ondokuz Mayis University, Samsun, Turkey.

DOI: 10.4236/jamp.2015.35068                

Abstract

In this paper, the kinetic energy formula was expressed during one-parameter closed planar homothetic inverse motions in complex plane. Then the relation between the kinetic energy formula and the Steiner formula was given. As an example the sagittal motion of a telescopic crane was considered. 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 were applied to experimentally measured motion.

Keywords

Steiner Formula, Kinetic Energy, Inverse Motions, Planar Kinematics, Homothetic Motions

Conflicts of Interest

The authors declare no conflicts of interest.

References

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