• Title/Summary/Keyword: tubular surface

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A NEW TYPE OF TUBULAR SURFACE HAVING POINTWISE 1-TYPE GAUSS MAP IN EUCLIDEAN 4-SPACE 𝔼4

  • Kisi, Ilim;Ozturk, Gunay
    • Journal of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.923-938
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    • 2018
  • In this paper, we handle the Gauss map of a tubular surface which is constructed according to the parallel transport frame of its spine curve. We show that there is no tubular surface having harmonic Gauss map. Moreover, we give a complete classification of this kind of tubular surface having pointwise 1-type Gauss map in Euclidean 4-space ${\mathbb{E}}^4$.

TUBULAR SURFACES WITH MODIFIED ORTHOGONAL FRAME IN EUCLIDEAN 3-SPACE

  • Akyigit, Mahmut;Eren, Kemal;Kosal, Hidayet Huda
    • Honam Mathematical Journal
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    • v.43 no.3
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    • pp.453-463
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    • 2021
  • In this study, tubular surfaces that play an important role in technological designs in various branches are examined for the case of the base curve is not satisfying the fundamental theorem of the differential geometry. In order to give an alternative perspective to the researches on tubular surfaces, the modified orthogonal frame is used in this study. Firstly, the relationships between the Serret-Frenet frame and the modified orthogonal frame are summarized. Then the definitions of the tubular surfaces, some theorems, and results are given. Moreover, the fundamental forms, the mean curvature, and the Gaussian curvature of the tubular surface are calculated according to the modified orthogonal frame. Finally, the properties of parameter curves of the tubular surface with modified orthogonal frame are expressed and the tubular surface is drawn according to the Frenet frame and the modified orthogonal frame.

Classifications of Tubular Surface with L1-Pointwise 1-Type Gauss Map in Galilean 3-space 𝔾3

  • Kisi, Ilim;Ozturk, Gunay
    • Kyungpook Mathematical Journal
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    • v.62 no.1
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    • pp.167-177
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    • 2022
  • In this manuscript, we handle a tubular surface whose Gauss map G satisfies the equality L1G = f(G + C) for the Cheng-Yau operator L1 in Galilean 3-space 𝔾3. We give an example of a tubular surface having L1-harmonic Gauss map. Moreover, we obtain a complete classification of tubular surface having L1-pointwise 1-type Gauss map of the first kind in 𝔾3 and we give some visualizations of this type surface.

The Effects of Surface Roughness and Bond Thickness on the Fatigue Life of Adhesively Bonded Tubular Single Lap Joints (비틀림 접착 조인트의 피로 수명에 대한 표면 조도와 접착 두께의 영향)

  • Gwon, Jae-Uk;Lee, Dae-Gil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.8 s.179
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    • pp.2022-2031
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    • 2000
  • Since the surface roughness of adherends affects much the strength of adhesivelybonded joints, the effect of surface roughness on the fatigue life of adhesively bonded tubular single lap joints was investigated analytically and experimentally by fatigue torsion test. The stiffness of the interfacial layer between adherends and adhesive was modeled as a normal statistical distribution function of surface roughness of adherends. From the investigation, it was found that the optimum surface roughness of adherends for the fatigue strength of tubular single lap joints was dependent on bondthickness and applied load.

TIMELIKE TUBULAR SURFACES OF WEINGARTEN TYPES AND LINEAR WEINGARTEN TYPES IN MINKOWSKI 3-SPACE

  • Chenghong He;He-jun Sun
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.2
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    • pp.401-419
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    • 2024
  • Let K, H, KII and HII be the Gaussian curvature, the mean curvature, the second Gaussian curvature and the second mean curvature of a timelike tubular surface Tγ(α) with the radius γ along a timelike curve α(s) in Minkowski 3-space E31. We prove that Tγ(α) must be a (K, H)-Weingarten surface and a (K, H)-linear Weingarten surface. We also show that Tγ(α) is (X, Y)-Weingarten type if and only if its central curve is a circle or a helix, where (X, Y) ∈ {(K, KII), (K, HII), (H, KII), (H, HII), (KII , HII)}. Furthermore, we prove that there exist no timelike tubular surfaces of (X, Y)-linear Weingarten type, (X, Y, Z)-linear Weingarten type and (K, H, KII, HII)-linear Weingarten type along a timelike curve in E31, where (X, Y, Z) ∈ {(K, H, KII), (K, H, HII), (K, KII, HII), (H, KII, HII)}.

A Study on the Rotary Swaging Machine and Process Development of Automotive Tubular Drive Shaft (자동차용 중공 구동축 성형장치 개발 및 성형공정에 관한 연구)

  • 오태원;유택인;현동훈
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2003.10a
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    • pp.344-350
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    • 2003
  • This Paper deals with the weight-lowering and the traits of NVH(Noise, Vibration and Harshness) by the development of tubular shaft replacing the existing solid Drive Shaft for the lighter and less-noisy automobiles. By the review of Swaging Process this study reveals the various forming traits of Swaging, one of the forming methods for tubular shafts. Furthermore, it showed the possibility of Drive Shaft manufacturing through designing & manufacturing of Swaging machine for tubular shaft, and the production ar analysis of the tubular shaft with the relevant process and tools. This study also shows that the forming by swaging not only makes the mass production of tubular Drive Shaft possible but also may be widely applied to other products with many advantages in review of dimensional precision, thickness change, hardness increase and surface roughness of the swaged products.

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Reliability Assessment of Tubular Markers Used for Road Safety Facilities (도로안전시설용 시선유도봉의 신뢰성 평가)

  • Koo, Hyun-Jin;Yoon, Ye-Seok
    • Journal of Applied Reliability
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    • v.12 no.2
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    • pp.91-103
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    • 2012
  • Tubular markers for road safety facilities are used to lead the driver's sight line and separate the lanes on the road. Such tubular markers are usually installed on the road and frequently hit by vehicles, they are accordingly requested to assure the product durability. The traditional evaluation method of tubular markers include only quality tests of the material properties. However, most of consuming agencies in charge of road management at fields have proposed problems on long-term performance of the products hit by vehicles under various weather conditions. Therefore, the objectives of this study are to develop the reliability test methods and equipments to simulate the product failures of tubular markers due to vehicle collision and wheel compression and the delamination and discoloration of reflection sheets attached on the surface of the products under high and low temperatures.

Changes in the composition according to the manufacturer and the characteristics of the ceramic support (조성변화에 따른 세라믹지지체의 제조 및 그 특성)

  • Kwom, Yongjin;Choi, Byunghyun;Jee, Mijung;Ahn, Yongtae;Seol, Kwanghee;Nham, Shan
    • 한국신재생에너지학회:학술대회논문집
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    • 2011.11a
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    • pp.83.2-83.2
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    • 2011
  • In this study, we fabricated tubular ceramic support for segmented-in-series solid oxide fuel cell (SOFC) by using MAO(MgAl-stabilized ) as main material and activated carbon as pore former. Thermal expansion properties of ceramic support with different amounts of activated carbon were analyzed by using dilatometer to decide a suitable sintering temperature. The tubular ceramic supports with different amounts of activated carbon (15, 20, 30wt.%) were fabricated by the extrusion technique. After sintering at $1400^{\circ}C$ for 2h, cross section and surface morphology of tubular ceramic support were analyzed by using SEM image. Also, the porosity, mechanical property, gas permeability of tubular ceramic supports was measured. Based on these results, we established the suitable fabrication technique of tubular ceramic support for segmented-in-series SOFC.

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Static test on failure process of tubular T-joints with initial fatigue crack

  • Wang, Yamin;Shao, Yongbo;Song, Shengzhi;Yang, Dongping
    • Steel and Composite Structures
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    • v.24 no.5
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    • pp.615-633
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    • 2017
  • Fatigue crack initiated in welded tubular joints due to cyclic loading may produce harmful effect on the integrity of the tubular structures. To study such effect, both fatigue and static tests on nine circular tubular T-joint specimens made of carbon steel materials were carried out. The specimens were subjected to tensile loading in both fatigue and static tests. The load-displacement relation, the crack propagation and the failure mode of the specimens are all analyzed. The deterioration of the static strength of the cracked T-joints is also investigated and evaluated through an area reduction factor. Experimental results indicate that the static strength of a tubular T-joint with a surface crack seems to decrease slightly while a through crack has relatively remarkable effect on the reduction of the static strength. Additionally, experimental results also show that the toughness of the materials and the geometry of the specimens play an important role on the failure process of cracked tubular T-joints.