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( Yasin Unluturk ),( Suha Yilmaz ),( Cumali Ekici ) 호남수학회 2019 호남수학학술지 Vol.41 No.1
In this work, we study the conditions between null geodesic curves and timelike ruled surfaces in dual Lorentzian space. For this study, we establish a system of differential equations characterizing timelike ruled surfaces in dual Lorentzian space by using the invariant quantities of null geodesic curves on the given ruled surfaces. We obtain the solutions of these systems for special cases. Regarding to these special solutions, we give some results of the relations between null geodesic curves and timelike ruled surfaces in dual Lorentzian space.
Yasin Unluturk,Suha Yilmaz 호남수학회 2022 호남수학학술지 Vol.44 No.1
In this study, we obtain the spherical images of minimal curves in the complex space in $\mathbb{C}^{4}$ which are obtained by translating Cartan frame vector fields to the centre of hypersphere, and present their properties such as becoming isotropic cubic, pseudo helix, and spherical involutes. Also, we examine minimal curves which are characterized by a system of differential equations.
Unluturk, Yasin,Yilmaz, Suha,Ekici, Cumali The Honam Mathematical Society 2019 호남수학학술지 Vol.41 No.1
In this work, we study the conditions between null geodesic curves and timelike ruled surfaces in dual Lorentzian space. For this study, we establish a system of differential equations characterizing timelike ruled surfaces in dual Lorentzian space by using the invariant quantities of null geodesic curves on the given ruled surfaces. We obtain the solutions of these systems for special cases. Regarding to these special solutions, we give some results of the relations between null geodesic curves and timelike ruled surfaces in dual Lorentzian space.
ISOTROPIC SMARANDACHE CURVES IN THE COMPLEX 4-SPACE
Ergut, Mahmut,Yilmaz, Suha,Unluturk, Yasin The Honam Mathematical Society 2018 호남수학학술지 Vol.40 No.1
We define the $e^{\alpha}_1e^{\alpha}_3$-isotropic Smarandache curves of type-1 and type-2, the $e^{\alpha}_1e^{\alpha}_2e^{\alpha}_3$-isotropic Smarandache curve, and the $e^{\alpha}_1e^{\alpha}_2e^{\alpha}_4$-isotropic Smarandache curves of type-1 and type-2. Then we examine these kinds of isotropic Smarandache curve according to Cartan frame in the complex 4-space $\mathbb{C}^4$ and give some differential geometric properties of these Samarandache curves.
Free vibration and buckling analysis of the impacted hybrid composite beams
Emin Ergun,Yasin Yilmaz,Hasan Çallioğlu 국제구조공학회 2016 Structural Engineering and Mechanics, An Int'l Jou Vol.59 No.6
The aim of this experimental study is to investigate the free vibration and buckling behaviors of hybrid composite beams having different span lengths and orientation angles subjected to different impact energy levels. The impact energies are applied in range from 10 J to 30 J. Free vibration and buckling behaviors of intact and impacted hybrid composite beams are compared with each other for different span lengths, orientation angles and impact levels. In free vibration analysis, the first three modes of hybrid beams are considered and natural frequencies are normalized. It is seen that first and second modes are mostly affected with increasing impact energy level. Also, the fundamental natural frequency is mostly affected with the usage of mold that have 40 mm span length (SP40). Moreover, as the impact energy increases, the normalized critical buckling loads decrease gradually for 0
ISOTROPIC SMARANDACHE CURVES IN THE COMPLEX 4-SPACE
( Mahmut Ergut ),( Suha Yilmaz ),( Yasin Unluturk ) 호남수학회 2018 호남수학학술지 Vol.40 No.1
We define the e1<sup>a</sup> e3<sup>a</sup> -isotropic Smarandache curves of type-1 and type-2, the e1<sup>a</sup> e2<sup>a</sup> e3<sup>a</sup> -isotropic Smarandache curve, and e1<sup>a</sup> e2<sup>a</sup> e4<sup>a</sup>-isotropic Smarandache curves of type-1 and type-2. Then we examine these kinds of isotropic Smarandache curve according to Cartan frame in the complex 4-space C<sup>4</sup> and give some differential geometric properties of these Samarandache curves.