The Experts below are selected from a list of 534 Experts worldwide ranked by ideXlab platform
Suleyman Senyurt - One of the best experts on this subject based on the ideXlab platform.
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Smarandache Curves of the Evolute Curve According to Sabban Frame
Communications in Advanced Mathematical Sciences, 2020Co-Authors: Suleyman Senyurt, Yasin AltunAbstract:The aim of this paper is to define Smarandache Curves according to the Sabban frame belonging to the unit Darboux vector of spherical indicatrix Curve of the evolute Curve. Also, we calculate the geodesic curvatures of these Curves. Finally, the results are expressed depending on the Involute Curve.
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On the Smarandache Curves of Spatial Quaternionic Involute Curve
Proceedings of the National Academy of Sciences India Section A: Physical Sciences, 2019Co-Authors: Suleyman Senyurt, Ceyda Cevahir, Yasin AltunAbstract:In this study, the spatial quaternionic Curve and the relationship between Frenet frames of Involute Curve of spatial quaternionic Curve are expressed by using the angle between the Darboux vector and binormal vector of the basic Curve. Secondly, the Frenet vectors of Involute Curve are taken as position vector and curvature and torsion of obtained Smarandache Curves are calculated. The calculated curvatures and torsions are given depending on Frenet apparatus of basic Curve. Finally, an example is given and the shapes of these Curves are drawn by using Mapple program.
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On the Sabban frame belonging to Involute-evolute Curves
Thermal Science, 2019Co-Authors: Suleyman Senyurt, Ceyda Cevahir, Yasin Altun, Huseyin KocayigitAbstract:In this paper, we investigate special Smarandache Curves with regard to Sabban frame of Involute Curve. We create Sabban frame belonging to spherical indicatrix of Involute Curve. Smarandache Curves are explained by Sabban vectors belonging to spherical indicatrix. Then, we calculate geodesic curvatures of this Smarandache Curves. The results found for each Curve is given depending on evolute Curve. The example related to the subject is given and their figures are drawn with MAPPLE program.
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Harmonicity and differential equation of Involute of a Curve in E3
Thermal Science, 2019Co-Authors: Osman Cakir, Suleyman SenyurtAbstract:In this paper, we first give necessary conditions in which we can decide whether a given Curve is biharmonic or 1-type harmonic and differential equations characterizing the regular Curves. Then we research the Frenet formulas of Involute of a unit speed Curve by making use of the relations between the Involute of a Curve and the Curve itself. In addition we apply these formulas to define the essential conditions by which one can determine whether the Involute of a unit speed Curve is biharmonic or 1-type harmonic and then we write differential equations characterizing the Involute Curve by means of Frenet apparatus of the unit speed Curve. Finally we examined the helix as an example to illustrate how the given theorems work.
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On Spatial Quaternionic Involute Curve A New View
Advances in Applied Clifford Algebras, 2017Co-Authors: Suleyman Senyurt, Ceyda Cevahir, Yasin AltunAbstract:In this study, the normal vector and the unit Darboux vector of spatial Involute Curve of the spatial quaternionic Curve are taken as the position vector, the curvature and torsion of obtained smarandahce Curve were calculeted.
Yusang Choi - One of the best experts on this subject based on the ideXlab platform.
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The forging of helical gears (II): comparisons of the forging processes
International Journal of Mechanical Sciences, 1999Co-Authors: Jung-eun Choi, Yusang ChoiAbstract:Abstract In this study, the forging processes of helical gears have been investigated wherein they have been classified into two types: the guiding type and the clamping types. These two types of forgings of helical gears have been analyzed by using the upper-bound method. New kinematically admissible velocity fields of the clamping-type forging of helical gears have been proposed, where an Involute Curve has been introduced to represent the tooth profile of the gear. The proposed velocity fields of the clamping-type forging of helical gears have been applied to the non-symmetric lateral extrusion forging and the result has been compared with the solution proposed by Plancak et al . [J. Mater. Process. Technol. 1992; 34:465–472]. Numerical calculations have been carried out to investigate the effects of various parameters, such as modules, number of teeth, helix angles and friction factors on the clamping-type forging of helical gears. For the forging of helical gears, the results of the upper-bound analysis of the clamping type have been compared with those of the guiding ones. Some experiments of the clamping-type forging were carried out with commercial aluminum alloy to show the validity of the analysis. Good agreement was found between the predicted values of the forging load and the experimental forging load.
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the forging of helical gears i experiments and upper bound analysis
International Journal of Mechanical Sciences, 1998Co-Authors: Jung-eun Choi, Yusang ChoiAbstract:Abstract In this paper, the forging of helical gears has been investigated. A punch and a die are tooth-shaped for the guiding type forging of helical gears. The punch compresses a cylindrical billet placed in a die insert. As a consequence the material of a billet flows into the tooth region. The forging has been analysed by using the upper-bound method. Kinematically admissible velocity fields have been developed, where an Involute Curve has been introduced to represent tooth profile of the gear. Numerical calculations have been carried out to investigate the effects of various parameters, such as modules, numbers of teeth, helix angles and friction factors on the forging of helical gears. Some forging experiments were carried out with commercial aluminium alloy to show the validity of the analysis. Good agreements were found between the predicted values of the forging load and those obtained from the experimental results.
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A study on the forging of spur gears
International Journal of Mechanical Sciences, 1996Co-Authors: Jung-eun Choi, Yusang Choi, K.d. Hur, Changhoon KimAbstract:Abstract In this paper, the forging of spur gears have been analysed by using the upper-bound method. The tooth profile of the gear consists of an Involute Curve and a circular arc shaped fillet. A kinematically admissible velocity field is newly proposed. Numerical calculations have been carried out to investigate the effects of various parameters, such as module, number of teeth, addendum modification coefficient and friction factor on the forging of spur gears. Some forging experiments were carried out with Al-2024 to show the validity of the analysis. Good agreement was found between the predicted values of the forging load and those obtained from the experimental results.
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An Upper-Bound Analysis for Closed-Die Forging of the Involute Spur Gears with Circular Arc Fillet
Transactions of materials processing, 1994Co-Authors: Jae-chan Choi, K.d. Hur, C.h. Kim, Yusang ChoiAbstract:Closed-die forging of the spur gears with circular are fillet has been analyses by using the upper-bound method. A kinematically admissible velocity field has been developed, wherein, the tooth profile consists of the Involute Curve and the circular arc fillet. In the analysis, the deformation regions have been divided into eight zones. A constant frictional stress has been assumed on the contacting surfaces Utilizing the formulated velocity field, numerical calculations have been carried out to investigate the effects of various parameters, such as module, number of teeth, addendum modification coefficient and friction factor, on the relative forging pressure of spur gears. As the result of numerical calculations, the relative forging pressure does not change so much against the variation of module. On the other hand, the relative forging pressure increases at the final filling stage as the addendum modification coefficient increases.
Jae-chan Choi - One of the best experts on this subject based on the ideXlab platform.
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Forging of helical gears: Upper bound analyses and experiments
Metals and Materials, 1998Co-Authors: Yoon Suk Choi, Jae-chan ChoiAbstract:In this paper, forging of helical gears has been investigated. The forging process of helical gears has been classified into two types of operations: guiding and clamping. The two types of forging of helical gears have been analyzed by using the upper-bound method. Kinematically admissible velocity fields have been developed in which an Involute Curve has been introduced to represent the tooth profile of the gear. Numerical calculations have been carried out to investigate the effects of various parameters such as module, number of teeth, helix angle and friction factors on the forging of helical gears. Some forging experiments were carried out with commercial aluminum alloy to show the validity of the analysis. Good agreements were found between the predicted values of the forging load and those obtained from the experimental results.
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an upper bound analysis of the closed die forging of spur gears
Journal of Materials Processing Technology, 1997Co-Authors: Haeyong Cho, Jaecha Choi, Young Bum Choi, Jae-chan ChoiAbstract:Abstract Closed-die forging of spur gears of which the shape of the fillet is a straight line in the radial direction is investigated by means of the upper-bound method. A kinematically admissible velocity field has been newly proposed in this paper: specifically an Involute Curve has been introduced to represent the tooth profile of the forging die. It was assumed that a constant frictional stress is applied on the contacting surfaces. Utilizing the formulated velocity field, numerical calculations has been carried out to investigate the effects of varying various parameters, such as modules, numbers of teeth and friction factors, on the forging of the spur gears. It was found that forging load or average relative pressure was dependent predominantly on the number of teeth.
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An Upper-Bound Analysis for Closed-Die Forging of the Involute Spur Gears with Circular Arc Fillet
Transactions of materials processing, 1994Co-Authors: Jae-chan Choi, K.d. Hur, C.h. Kim, Yusang ChoiAbstract:Closed-die forging of the spur gears with circular are fillet has been analyses by using the upper-bound method. A kinematically admissible velocity field has been developed, wherein, the tooth profile consists of the Involute Curve and the circular arc fillet. In the analysis, the deformation regions have been divided into eight zones. A constant frictional stress has been assumed on the contacting surfaces Utilizing the formulated velocity field, numerical calculations have been carried out to investigate the effects of various parameters, such as module, number of teeth, addendum modification coefficient and friction factor, on the relative forging pressure of spur gears. As the result of numerical calculations, the relative forging pressure does not change so much against the variation of module. On the other hand, the relative forging pressure increases at the final filling stage as the addendum modification coefficient increases.
Yasin Altun - One of the best experts on this subject based on the ideXlab platform.
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Smarandache Curves of the Evolute Curve According to Sabban Frame
Communications in Advanced Mathematical Sciences, 2020Co-Authors: Suleyman Senyurt, Yasin AltunAbstract:The aim of this paper is to define Smarandache Curves according to the Sabban frame belonging to the unit Darboux vector of spherical indicatrix Curve of the evolute Curve. Also, we calculate the geodesic curvatures of these Curves. Finally, the results are expressed depending on the Involute Curve.
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On the Smarandache Curves of Spatial Quaternionic Involute Curve
Proceedings of the National Academy of Sciences India Section A: Physical Sciences, 2019Co-Authors: Suleyman Senyurt, Ceyda Cevahir, Yasin AltunAbstract:In this study, the spatial quaternionic Curve and the relationship between Frenet frames of Involute Curve of spatial quaternionic Curve are expressed by using the angle between the Darboux vector and binormal vector of the basic Curve. Secondly, the Frenet vectors of Involute Curve are taken as position vector and curvature and torsion of obtained Smarandache Curves are calculated. The calculated curvatures and torsions are given depending on Frenet apparatus of basic Curve. Finally, an example is given and the shapes of these Curves are drawn by using Mapple program.
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On the Sabban frame belonging to Involute-evolute Curves
Thermal Science, 2019Co-Authors: Suleyman Senyurt, Ceyda Cevahir, Yasin Altun, Huseyin KocayigitAbstract:In this paper, we investigate special Smarandache Curves with regard to Sabban frame of Involute Curve. We create Sabban frame belonging to spherical indicatrix of Involute Curve. Smarandache Curves are explained by Sabban vectors belonging to spherical indicatrix. Then, we calculate geodesic curvatures of this Smarandache Curves. The results found for each Curve is given depending on evolute Curve. The example related to the subject is given and their figures are drawn with MAPPLE program.
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On Spatial Quaternionic Involute Curve A New View
Advances in Applied Clifford Algebras, 2017Co-Authors: Suleyman Senyurt, Ceyda Cevahir, Yasin AltunAbstract:In this study, the normal vector and the unit Darboux vector of spatial Involute Curve of the spatial quaternionic Curve are taken as the position vector, the curvature and torsion of obtained smarandahce Curve were calculeted.
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On The Darboux Vector Belonging To Involute Curve A Different View
Mathematical Sciences and Applications E-Notes, 2016Co-Authors: Suleyman Senyurt, Yasin Altun, Ceyda CevahirAbstract:In this paper, we investigated special Smarandache Curves in terms of Sabban frame drawn on the surface of the sphere by the unit Darboux vector of Involute Curve. We created Sabban frame belonging to this Curve. It was explained Smarandache Curves position vector is composed by Sabban vectors belonging to this Curve. Then, we calculated geodesic curvatures of this Smarandache Curves. Found results were expressed depending on the base Curve. We also gave example belonging to the results found.
Jung-eun Choi - One of the best experts on this subject based on the ideXlab platform.
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The forging of helical gears (II): comparisons of the forging processes
International Journal of Mechanical Sciences, 1999Co-Authors: Jung-eun Choi, Yusang ChoiAbstract:Abstract In this study, the forging processes of helical gears have been investigated wherein they have been classified into two types: the guiding type and the clamping types. These two types of forgings of helical gears have been analyzed by using the upper-bound method. New kinematically admissible velocity fields of the clamping-type forging of helical gears have been proposed, where an Involute Curve has been introduced to represent the tooth profile of the gear. The proposed velocity fields of the clamping-type forging of helical gears have been applied to the non-symmetric lateral extrusion forging and the result has been compared with the solution proposed by Plancak et al . [J. Mater. Process. Technol. 1992; 34:465–472]. Numerical calculations have been carried out to investigate the effects of various parameters, such as modules, number of teeth, helix angles and friction factors on the clamping-type forging of helical gears. For the forging of helical gears, the results of the upper-bound analysis of the clamping type have been compared with those of the guiding ones. Some experiments of the clamping-type forging were carried out with commercial aluminum alloy to show the validity of the analysis. Good agreement was found between the predicted values of the forging load and the experimental forging load.
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the forging of helical gears i experiments and upper bound analysis
International Journal of Mechanical Sciences, 1998Co-Authors: Jung-eun Choi, Yusang ChoiAbstract:Abstract In this paper, the forging of helical gears has been investigated. A punch and a die are tooth-shaped for the guiding type forging of helical gears. The punch compresses a cylindrical billet placed in a die insert. As a consequence the material of a billet flows into the tooth region. The forging has been analysed by using the upper-bound method. Kinematically admissible velocity fields have been developed, where an Involute Curve has been introduced to represent tooth profile of the gear. Numerical calculations have been carried out to investigate the effects of various parameters, such as modules, numbers of teeth, helix angles and friction factors on the forging of helical gears. Some forging experiments were carried out with commercial aluminium alloy to show the validity of the analysis. Good agreements were found between the predicted values of the forging load and those obtained from the experimental results.
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A study on the forging of spur gears
International Journal of Mechanical Sciences, 1996Co-Authors: Jung-eun Choi, Yusang Choi, K.d. Hur, Changhoon KimAbstract:Abstract In this paper, the forging of spur gears have been analysed by using the upper-bound method. The tooth profile of the gear consists of an Involute Curve and a circular arc shaped fillet. A kinematically admissible velocity field is newly proposed. Numerical calculations have been carried out to investigate the effects of various parameters, such as module, number of teeth, addendum modification coefficient and friction factor on the forging of spur gears. Some forging experiments were carried out with Al-2024 to show the validity of the analysis. Good agreement was found between the predicted values of the forging load and those obtained from the experimental results.
