The Steiner Formula and the Polar Moment of Inertia for the Closed Planar Homothetic Motions in Complex Plane

The Steiner Formula and the Polar Moment of Inertia for the Closed Planar Homothetic Motions in Complex Plane

The Steiner area formula and the polar moment of inertia were expressed during one-parameter closed planar homothetic motions in complex plane. The Steiner point or Steiner normal concepts were described according to whether rotation number was different from zero or equal to zero, respectively. The...

Full description

Bibliographic Details
Main Authors: Ayhan Tutar, Onder Sener
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2015/978294
id doaj-b2785801bc3946548093f026f9acb994
record_format Article
spelling doaj-b2785801bc3946548093f026f9acb9942021-07-02T02:45:36ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/978294978294The Steiner Formula and the Polar Moment of Inertia for the Closed Planar Homothetic Motions in Complex PlaneAyhan Tutar0Onder Sener1Department of Mathematics, Ondokuz Mayis University, Kurupelit, 55139 Samsun, TurkeyDepartment of Mathematics, Ondokuz Mayis University, Kurupelit, 55139 Samsun, TurkeyThe Steiner area formula and the polar moment of inertia were expressed during one-parameter closed planar homothetic motions in complex plane. The Steiner point or Steiner normal concepts were described according to whether rotation number was different from 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 winch was considered as an example. This motion was described by a double hinge consisting of the fixed control panel of winch and the moving arm of winch. The results obtained in the second section of this study were applied for this motion.http://dx.doi.org/10.1155/2015/978294
collection DOAJ
language English
format Article
sources DOAJ
author Ayhan Tutar
Onder Sener
spellingShingle Ayhan Tutar
Onder Sener
The Steiner Formula and the Polar Moment of Inertia for the Closed Planar Homothetic Motions in Complex Plane
Advances in Mathematical Physics
author_facet Ayhan Tutar
Onder Sener
author_sort Ayhan Tutar
title The Steiner Formula and the Polar Moment of Inertia for the Closed Planar Homothetic Motions in Complex Plane
title_short The Steiner Formula and the Polar Moment of Inertia for the Closed Planar Homothetic Motions in Complex Plane
title_full The Steiner Formula and the Polar Moment of Inertia for the Closed Planar Homothetic Motions in Complex Plane
title_fullStr The Steiner Formula and the Polar Moment of Inertia for the Closed Planar Homothetic Motions in Complex Plane
title_full_unstemmed The Steiner Formula and the Polar Moment of Inertia for the Closed Planar Homothetic Motions in Complex Plane
title_sort steiner formula and the polar moment of inertia for the closed planar homothetic motions in complex plane
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2015-01-01
description The Steiner area formula and the polar moment of inertia were expressed during one-parameter closed planar homothetic motions in complex plane. The Steiner point or Steiner normal concepts were described according to whether rotation number was different from 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 winch was considered as an example. This motion was described by a double hinge consisting of the fixed control panel of winch and the moving arm of winch. The results obtained in the second section of this study were applied for this motion.
url http://dx.doi.org/10.1155/2015/978294
work_keys_str_mv AT ayhantutar thesteinerformulaandthepolarmomentofinertiafortheclosedplanarhomotheticmotionsincomplexplane
AT ondersener thesteinerformulaandthepolarmomentofinertiafortheclosedplanarhomotheticmotionsincomplexplane
AT ayhantutar steinerformulaandthepolarmomentofinertiafortheclosedplanarhomotheticmotionsincomplexplane
AT ondersener steinerformulaandthepolarmomentofinertiafortheclosedplanarhomotheticmotionsincomplexplane
_version_ 1721342834818154496

Similar Items