• Title/Summary/Keyword: Finite Field Division

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The Spatially Closed Universe

  • Park, Chan-Gyung
    • Journal of the Korean earth science society
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    • v.40 no.4
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    • pp.353-381
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    • 2019
  • The general world model for homogeneous and isotropic universe has been proposed. For this purpose, we introduce a global and fiducial system of reference (world reference frame) constructed on a (4+1)-dimensional space-time, and assume that the universe is spatially a 3-dimensional hypersurface embedded in the 4-dimensional space. The simultaneity for the entire universe has been specified by the global time coordinate. We define the line element as the separation between two neighboring events on the expanding universe that are distinct in space and time, as viewed in the world reference frame. The information that determines the kinematics of the geometry of the universe such as size and expansion rate has been included in the new metric. The Einstein's field equations with the new metric imply that closed, flat, and open universes are filled with positive, zero, and negative energy, respectively. The curvature of the universe is determined by the sign of mean energy density. We have demonstrated that the flat universe is empty and stationary, equivalent to the Minkowski space-time, and that the universe with positive energy density is always spatially closed and finite. In the closed universe, the proper time of a comoving observer does not elapse uniformly as judged in the world reference frame, in which both cosmic expansion and time-varying light speeds cannot exceed the limiting speed of the special relativity. We have also reconstructed cosmic evolution histories of the closed world models that are consistent with recent astronomical observations, and derived useful formulas such as energy-momentum relation of particles, redshift, total energy in the universe, cosmic distance and time scales, and so forth. The notable feature of the spatially closed universe is that the universe started from a non-singular point in the sense that physical quantities have finite values at the initial time as judged in the world reference frame. It has also been shown that the inflation with positive acceleration at the earliest epoch is improbable.

One-D Model Prediction of Pollutant Transport at a Canal Network (수로망에서의 오염물질 확산의 1차원 예측)

  • Lee, Jung-Lyul;Hsiang Wang
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.1
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    • pp.51-60
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    • 1994
  • A one-dimensional numerical model has been developed through a Lagragian formulation, which is applicable to advection and diffusion of dissolved matters in storages. The study was conducted to the pollutants released into a canal network in Burnt Store Isles, Punta Gorda, Florida. USA. The hydrodynamic model was developed by using an implicit finite difference scheme. In the computational domain, the network system consists of prismatic channels and storages. The finger canals and small tributaries ale treated as storages in the simplified flow network The numerical results show relatively good agreement with field experiments.

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On the Slipping Phenomenon in Adhesive Complete Contact Problem (응착 완전 접촉 문제에서 접촉면 미끄럼 현상에 관한 고찰)

  • Kim, Hyung-Kyu
    • Tribology and Lubricants
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    • v.36 no.3
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    • pp.147-152
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    • 2020
  • This paper is within the framework of an adhered complete contact problem wherein the contact between a half plane and sharp edged indenter, both of which are elastic in character, is constituted. The eigensolutions of the contact shear and normal stresses, σrq and σq, respectively, are evaluated via asymptotic analysis. The ratio of σrqqq is investigated and compared with the coefficient of friction, μ, of the contact surface to observe the propensity to slip on the contact surface. Interestingly, there exists a region of |σθθ| ≥ |μ|. Thus, slipping can occur, although the problem is solved under the condition of an adhered contact without slipping. Given that a tribological failure potentially occurs at the slipping region, it is important to determine the size of the slipping region. This aspect is also factored in the paper. A simple example of the adhered contact between two elastically dissimilar squares is considered. Finite element analysis is used to evaluate generalized stress intensity factors. Furthermore, it is repeatedly observed that slipping occurs on the contact surface although the size of it is extremely small compared with that of the contacting squares. Therefore, as a contribution to the field of contact mechanics, this problem must be further explained logically.

Thermal transfer behavior in two types of W-shape ground heat exchangers installed in multilayer soils

  • Yoon, Seok;Lee, Seung-Rae;Go, Gyu-Hyun;Xue, Jianfeng;Park, Hyunku;Park, Dowon
    • Geomechanics and Engineering
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    • v.6 no.1
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    • pp.79-98
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    • 2014
  • This paper presents an experimental and numerical study on the evaluation of a thermal response test using a precast high-strength concrete (PHC) energy pile and a closed vertical system with W-type ground heat exchangers (GHEs). Field thermal response tests (TRTs) were conducted on a PHC energy pile and on a general vertical GHE installed in a multiple layered soil ground. The equivalent ground thermal conductivity was determined by using the results from TRTs. A simple analytical solution is suggested in this research to derive an equivalent ground thermal conductivity of the multilayered soils for vertically buried GHEs. The PHC energy pile and general vertical system were numerically modeled using a three dimensional finite element method to compare the results with TRTs'. Borehole thermal resistance values were also obtained from the numerical results, and they were compared with various analytical solutions. Additionally, the effect of ground thermal conductivity on the borehole thermal resistance was analyzed.

Experimental Study on Nonlinearity Characteristics Near the Free Surface in the Regular Wave Condition

  • Choi, Hae-Jin;Jung, Kwang-Hyo;Suh, Sung-Bu;Jo, Hyo-Jae;Choi, Han-Suk
    • Journal of Ocean Engineering and Technology
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    • v.24 no.1
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    • pp.1-9
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    • 2010
  • A series of experiments employing particle image velocimetry (PIV) technique was conducted to produce benchmark wave kinematics data for regular waves having four different wave slopes in 2-D wave tank. Water velocities and accelerations near the free surface of regular waves were computed from image pair obtained by PIV systems. With the measured wave velocity field, the wave accelerations were computed using a centered finite difference scheme. Both local and convective components of the total accelerations are obtained from experimental data. With increasing the wave slope, the horizontal velocity and the vertical accelerations near the wave crest obtained by PIV technique became larger than theoretical results, which are well-known phenomena of the wave nonlinearity. It is noted that the relative magnitude of convective acceleration to the local acceleration became larger with increasing wave slope.

Displacement of Quaywall Pile by Lateral Movement of Revetment on Soft Ground (연약지반상에 축조된 호안의 측방유동에 따른 안벽말뚝의 변위)

  • Shin, Eun-Chul;Ryu, In-Gi;Kim, Jong-In
    • Proceedings of the Korean Geotechical Society Conference
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    • 2005.03a
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    • pp.932-939
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    • 2005
  • Recently, the lateral displacement of the passive piles which installed under the revetment on soft ground is very important during the land reclamation work along the coastal line. The revetment on the soft clay develops the lateral displacement of the ground when the revetment loading is exceeded a certain limit. The lateral displacement of ground causes an excessive deformation of under structure itself and develops lateral earth pressure against the pile foundation as well. Especially passive piles subjected to lateral earth pressures are likely to have excessive horizontal displacement and large bending moment, which induces structural failure of pile foundation and harmful effects on superstructure. The subject of study is to investigate the later displacement of pile foundation during the construction of container terminal at the south port of Incheon. Actual field measurement data and finite element method(FEM) by AFFIMEX Ver 3.4 were used to analyze the displacement of pile and the vertical settlement of soft ground. This analysis was carried out at each sequence of construction work.

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Seismic Stability Evaluation of Bellows Type Expansion Joints Piping System(350A) (350A 벨로우즈형 신축관이음의 내진특성 평가)

  • Son, In-Soo
    • Journal of the Korean Society of Industry Convergence
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    • v.23 no.4_2
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    • pp.653-659
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    • 2020
  • In this study, seismic verification of the bellows used in the plant field was conducted. The pressure used in the analysis was analyzed by applying the design pressure of 15.7bar. For the seismic analysis, the natural frequency of the bellows system was obtained and the stability of the system was evaluated by static seismic analysis comparing the lowest order natural frequency with the dominant frequency of 33 Hz. The material of the bellows system is STS304, and the safety factor is obtained in comparison with the allowable stress. For the seismic analysis, the design response spectrum was prepared and the maximum acceleration was applied to the static seismic analysis and the stability of the entire system was confirmed. Compared to the structural analysis results, the maximum stress of the bellows system increased by about 16.4% and the maximum strain increased by about 3 times when seismic analysis was performed.

Signal Transmission Properties Improvement of Serial Advanced Technology Attachment Connector Using Analysis of Differential Impedance (차동 임피던스 분석을 사용한 SATA 커넥터의 신호 전달 특성 개선)

  • Yang, Jeong-Kyu;Kim, Moonjung
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.2
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    • pp.47-53
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    • 2013
  • In this work, signal transmission properties of SATA connector have been improved using its differential impedance calculation and its design revision to closer impedance matching. Using 3 dimensional electromagnetic field simulator, the differential mode S-parameter was calculated to investigate its signal fidelity. The differential impedance is calculated from the equation of the odd mode impedance with inductance, capacitance, mutual inductance, and mutual capacitance. The differential impedance of SATA connector was calculated to be $107.3{\Omega}$ and did not meet the design specification with $100{\Omega}{\pm}5%$. In order to achieve its impedance range and improve its signal transmission properties, SATA connector's design has been revised with two different directions and analyzed through the calculation of differential impedance, differential reflection loss, and differential insertion loss.

The Characteristic of Residual Stress and Fracture Toughness on The Welded Joint of HT50 by Laser Welding (50kg급 고장력강 레이저용접부의 용접잔류응력 및 파괴인성 특성)

  • Ro, Chan-Seung;Bang, Han-Sur;Ko, Min-Sung;Kim, Sung-Ju;Kim, Ha-Sig
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2003.10a
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    • pp.93-96
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    • 2003
  • Laser beam welding process is a relatively new process in comparison with arc welding process, but it is expected to apply widely because of the many advantages, and research and development of that process is being progressed actively for the practical use. the application of this welding process has been restricted due to the high initial investment and the need of precise processing against the material, but cost reduction and thick plate welding in high speed have become practial by recent technological development, and this welding process to not only small parts in automobile, machinery and physicochemical field, but also a large structure and pipe line are being applied. In order to utilize this welding process appropriately to a steel structure, the properties of welding residual stresses and fracture toughness in welded joints are to be investigated for relibilty. On this study, after performing the finite element analysis, thermal and residual stress properties have been examined to the general structural steel (HT50) by laser beam welding. Besides, the property of fracture toughness has been investigated by the Charpy impact test and 3-points bending CTOD test carried out in the range of temperature between $-60^{\circ}C$ and $20^{\circ}C$. From the research results it is revealed that the maximum residual stress appears in the center of plate thickness and the fracture toughness is influenced by strength mis-match.

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A Study on the Measurement of Axial Cracks in the Magnetic Flux Leakage NDT System (자기누설 비파괴 검사 시스템에서 축방향 미소결함 측정에 관한 연구)

  • Kim, Hui-Min;Park, Gwan-Soo;Rho, Yong-Woo;Yoo, Hui-Ryong;Cho, Sung-Ho;Kim, Dong-Kyu;Koo, Sung-Ja
    • Journal of the Korean Magnetics Society
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    • v.22 no.2
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    • pp.49-57
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    • 2012
  • From among the NDT (Non-Destructive Testing) methods, the MFL (Magnetic Flux Leakage) PIG (Pipeline Inspection Gauge) is especially suitable for testing pipelines because the pipeline has high magnetic permeability. MFL PIG showed high performance in detecting the metal loss and corrosions. However, MFL PIG is difficult to detect the crack which occured by exterior-interior pressure difference in pipelines and the shape of crack is very long and narrow. Therefore, the new PIG is needed to be researched and developed for detecting the cracks. The CMFL (Circumferential MF) PIG performs magnetic fields circumferentially and can maximize the magnetic flux leakage at the cracks. In this paper, CMFL PIG is designed and the distribution of the magnetic fields is analyzed by using 3 dimensional nonlinear finite element method (FEM). By Simulating and Measuring the magnetic leakage field, it is possible to detect of axial cracks in the pipeline.