• Title/Summary/Keyword: radius of curvature

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A Study on theProperty of Seepage in the Curved Levee by Numerical Analysis (제방만곡부에서의 침투특성에 관한 수치해석적 연구)

  • Park, Choon-Sik;An, Byeong-Ho
    • Journal of the Korean Geotechnical Society
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    • v.37 no.4
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    • pp.5-17
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    • 2021
  • In this paper, three-dimensional analysis of the curved levee was performed according to curvature angle, and radius of curvature to investigate the property of seepage. The hydraulic gradients in the curved parts of levees decreased in the outer levee and increased in the inner levee, compared to the two-dimensional analysis. The smaller the curvature angle and the radius of curvature, the larger the change of the hydraulic gradient, compared to the two-dimensional analysis. The effect of curvature radius on the hydraulic gradient was greater than the curvature angle. As a result of evaluating the piping safety factor for the critical hydraulic gradient, the safety factor was increased by 2~5% in the outer levee and decreased by 4~12% in the inner levee, compared to the two-dimensional analysis. Considering this reduction, if the two-dimensional analysis is performed on the curved part of the levee, and if designed the safety factor for piping is 0.1~0.3 greater than allowable FS=2.0, the safety factor of the curved part is slightly reduced, but there is no difficulty in securing stability.

Size-dependent vibration and electro-magneto-elastic bending responses of sandwich piezomagnetic curved nanobeams

  • Arefi, Mohammed;Zenkour, Ashraf M.
    • Steel and Composite Structures
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    • v.29 no.5
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    • pp.579-590
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    • 2018
  • Size-dependent free vibration responses and magneto-electro-elastic bending results of a three layers piezomagnetic curved beam rest on Pasternak's foundation are presented in this paper. The governing equations of motion are derived based on first-order shear deformation theory and nonlocal piezo-elasticity theory. The curved beam is containing a nanocore and two piezomagnetic face-sheets. The piezomagnetic layers are imposed to applied electric and magnetic potentials and transverse uniform loadings. The analytical results are presented for simply-supported curved beam to study influence of some parameters on vibration and bending results. The important parameters are spring and shear parameters of foundation, applied electric and magnetic potentials, nonlocal parameter and radius of curvature of curved beam. It is concluded that the increase in radius of curvature tends to an increase in the stiffness of curved beam and consequently natural frequencies increase and bending results decrease. In addition, it is concluded that with increase of nonlocal parameter of curved beam, the stiffness of structure is decreased that leads to decrease of natural frequency and increase of bending results.

Fabrication of PDMS Lens Using Photolithography and Water Droplet Mold (사진식각공정과 물방울 형틀을 이용한 PDMS 렌즈 제작)

  • Kim, Jin Young;Sung, Jungwoo;Cho, Seong J.;Kim, Chulhong;Lim, Geunbae
    • Journal of Sensor Science and Technology
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    • v.22 no.5
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    • pp.352-356
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    • 2013
  • We developed a novel fabrication method of polydimethylsioxane (PDMS) lens, which can easily control the shapes of the lens using soft lithography with common photolithography and water droplet molding. A mold for PDMS lens was prepared by patterning of hydrophobic photoresist on the hydrophilic substrate and dispensing small water droplets onto the predefined hydrophilic patterns. The size of patterns determined the dimension of the lens and the dispensed volume of the water droplet decided the radius of curvature of the PDMS lens independently. The water droplet with photoresist pattern played a robustly fixed mold for lens due to difference in wettability. The radius of curvature could be calculated theoretically because the water droplets could approximate spherical cap on the substrate. Finally, concave and convex PDMS lenses which could reduce or magnify optically were fabricated by curing of PDMS on the prepared mold. The measured radii of the fabricated PDMS lenses were well matched with the estimated values. We believe that our simple and efficient fabrication method can be adopted to PDMS microlens and extended to micro optical device, lab on a chip, and sensor technology.

Fatigue Strength Improvement and Fatigue Characteristics by TIG-Dressing on Weld Bead Toes (용접지단부 TIG처리에 의한 피로강도향상 및 피로특성)

  • Jung, Young Hwa;Kim, Ik Gyeom;Nam, Wang Hyone;Chang, Dong Huy
    • Journal of Industrial Technology
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    • v.20 no.A
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    • pp.169-178
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    • 2000
  • The 4-point bending tests have been performed In order to estimate the effect of TIG-dressing on fatigue strength and fatigue characteristics quantitatively for non load-carrying fillet welded joints subjected to pure bending. As a result of fatigue tests, fatigue strengths of as-welded specimens have satisfied the grade of fatigue strength prescribed in specifications of korea, AASHTO and JSSC. Fatigue strength at 2 million cycles of TIG-dressing specimens have increased compared with as-welded specimens. As the result of beachmark tests, fatigue cracks occurred at several points, where the radius of curvature and flank angle in the weld bead toes were low, and grew as semi-elliptical cracks, then approached to fracture. As a result of finite element analysis, stress concentration factor in weld bead toes has closely related to the flank angle and radius of curvature, and between these, the radius of curvature has more largely affected in stress concentration factor than flank angle. As a result of fracture mechanics approaches, the crack correction factor of test specimens has largely affected on stress gradient correction factor in case a/t is below 0.4. From the relations between stress intensity factor range estimated from FEM analysis and fatigue crack growth rate, fatigue life has been correctly calculated.

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A Study on Laminar Lifted Jet Flames for Diluted Methane in Co-flow Air

  • Sapkal, Narayan P.;Lee, Won June;Park, Jeong;Kwon, Oh Boong
    • Journal of the Korean Society of Combustion
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    • v.20 no.3
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    • pp.1-7
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    • 2015
  • The laminar lifted jet flames for methane diluted with helium and nitrogen in co-flow air have been investigated experimentally. Such jet flames could be lifted in both buoyancy-dominated and jet momentum dominated regimes (even at nozzle exit velocities much higher than stoichiometric laminar flame speed) despite the Schmidt number less than unity. Chemiluminescence intensities of $OH^*$ radical (good indicators of heat release rate) and the radius of curvature for tri-brachial flame were measured using an intensified charge coupled device (ICCD) camera and digital video camera at various conditions. It was shown that, an increase in $OH^*$ concentration causes increase of edge flame speed via enhanced chemical reaction in buoyancy dominated regime. In jet momentum dominated regime, an increase in radius of curvature in addition to the increased $OH^*$ concentration stabilizes such lifted flames. Stabilization of such lifted flames is discussed based on the stabilization mechanism.

Determination of Curvature Radius of Magnetic Tool Using Weighted Magnetic Flux Density in Magnetic Abrasive Polishing (자속밀도 가중치에 의한 자유곡면 자기연마 공구곡률 선정)

  • Son, Chul-Bae;Ryu, Man-Hee;Kwak, Jae-Seob
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.12 no.3
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    • pp.69-75
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    • 2013
  • During the magnetic abrasive polishing of a curved surface, the improvement in surface roughness varies with the maximum value and distribution of magnetic flux density. Thus, in this study, the magnetic flux density on the curved surface was simulated according to curvature radii of magnetic tool. As a result of the simulation, the 14.5mm of the magnetic tool had a higher maximum magnetic flux density and it showed a large weighted magnetic flux density. The weighted magnetic flux density means the highest value for the magnetic flux density in the curvature of the magnetic tool. From the experimental verification, the better improvement in surface roughness was observed on wider area at the 14.5mm radius of the magnetic tool than other radii.

Experimental Study on the Flow Behind an Axisymmetric Backward-Facing Step (축대칭 하향단 흐름에 대한 실험적 연구)

  • 김경천;부정숙;양종필
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.9
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    • pp.2463-2476
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    • 1994
  • Local mean fluctuating velocity components were measured in the separating and reattaching axisymmetrc region of turbulent boundary layer over the wall of convex cylinders placed in a water tunnel by using 2-color 4-beam fiber optics laser Doppler velocimetry. Measurements were made with three different diameters of cylinders with four different diameters of cylinders with four different diameter of the obstructions. The range of Reynolds number based on step height was between 5,000 to 25,200. The study demonstrates that the reattachment length decreases with decreasing cylinder radius and is always shorter than that for the two-dimensional backward-facing step flow at the condition of the same step height. It was also observed that the turbulent kinetic energy in the recirculating region increases with an increases in the radius of convex curvature. The measured velocity field suggests that the transverse curvature can effect definitely the formation of corner eddy.

On the Design Parameters of Gerotor Hydraulic Motors (제로터 유압 모터의 설계 변수에 관한 연구)

  • 김충현;김두인;안효석;정태형;이성철
    • Tribology and Lubricants
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    • v.15 no.1
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    • pp.17-23
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    • 1999
  • A Gerotor hydraulic motor is a planar mechanism consisting of a pair of rotors one of which encloses another rotor. The motion of the inner-rotor relative to the outer-rotor is produced by the pressure difference between the adjacent chambers. A design method of inner-rotor tooth profile using unit tangential vectors is presented in this work. Based on the relationships derived, the influence of the eccentricity of inner-rotor and the radius of circular arc tooth on the flow rate, torque and curvatures were investigated. It was shown that the flow rate and mean torque is proportional to eccentricity, but inversely proportional to the radius of circular arc teeth. Also, the maximum value of the equivalent curvature is increased as the eccentricity and the radius of circular arc teeth increased.

Formation Control for Swarm Robot using Radius of Curvature (곡률 반경을 이용한 군집 로봇의 대형 제어)

  • Kang, Dong Woo;Song, Young Hun;Lee, Suk;Lee, Kyung Chang
    • Journal of the Korean Society for Precision Engineering
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    • v.31 no.11
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    • pp.1023-1030
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    • 2014
  • This paper presents a new method to control swarm robots so that they can keep the formation while following a curved path. The main idea is to utilize the information on the instant center of gyration. For a given path, location of the instant center of the formation center is calculated, and individual robots follow the circular path around the calculated instant center. Performance of curvature-radius based method is compared with leader-follower referenced method via MATLAB simulation.