• Title/Summary/Keyword: k-corner

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FINITE ELEMENT DUAL SINGULAR FUNCTION METHODS FOR HELMHOLTZ AND HEAT EQUATIONS

  • JANG, DEOK-KYU;PYO, JAE-HONG
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.22 no.2
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    • pp.101-113
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    • 2018
  • The dual singular function method(DSFM) is a numerical algorithm to get optimal solution including corner singularities for Poisson and Helmholtz equations. In this paper, we apply DSFM to solve heat equation which is a time dependent problem. Since the DSFM for heat equation is based on DSFM for Helmholtz equation, it also need to use Sherman-Morrison formula. This formula requires linear solver n + 1 times for elliptic problems on a domain including n reentrant corners. However, the DSFM for heat equation needs to pay only linear solver once per each time iteration to standard numerical method and perform optimal numerical accuracy for corner singularity problems. Because the Sherman-Morrison formula is rather complicated to apply computation, we introduce a simplified formula by reanalyzing the Sherman-Morrison method.

A Study on Comparison of Korean and Western Furniture Terminology - Focusing on Traditional Cupboard - (한국과 서구의 가구 용어 비교 연구 - 전통 찬장을 중심으로 -)

  • Moon, Sun-Ok;Jang, Hyun-Young
    • Journal of the Korea Furniture Society
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    • v.24 no.4
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    • pp.389-399
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    • 2013
  • This study focuses a comparison of Korean and Western Furniture culture on traditional cupboard terms to make the people understand and distinguish the form of the various Korean and Western cupboard made by the craftsmanship before the industrial Revolution. As the result, the Korean cupboard shows Kangwon Chanjang/cupboard, Gyeonggi Chanjang/cupboard by the local name, dwiju Chanjang/cupboard, three-tiered Chanjang/cupboard, four-tired Chanjang/cupboard, two-tiered Chantak/cupboard, three-tiered Chantak/cupboard in the terms of the form. Korean cupboards are called Chanjang and Chantak. The Western cupboard shows cupboard, buffet, livery cupboard, cupboard-bed, corner cupboard, court cupboard, turkey-breast cupboard, pot cupboard, press, press cupboard, hall cupboard, sideboard, hunt sideboard, huntboard, cabinet, corner cabinet, writing cabinet, art cabinet, china cabinet, dresser, safe, meat safe, wall closet, wall cupboard, hanging corner cupboard, food cupboard in the terms of the various forms.

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Constructional Tradition and Meaning of the Corner High Column Method (귀고주방식의 조영전통과 의미)

  • Hong, Byung-Hwa;Lee, Eun-Soo
    • Journal of architectural history
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    • v.19 no.3
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    • pp.107-124
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    • 2010
  • The coner high column method that is used in the multi-roof building Sungryemoon seems to have been used for the first time during the Choseon Dynasty, and it's characteristics and trend of usage are studied in this paper. In the results, it was confirmed that the coner high column method is economic and structurally safe, and selectively combines the structural factors used in the Chinese seats. It was found that this method was a newly adopted construction method to effectively express the authority of the country with the establishment of a new dynasty. Also the meaning of the method could be guessed since it was continuously used in important structures from the Choseon Dynasty to the Daehan Empire, in spite of the new multi-roof building technologies.

Assessment of across-wind responses for aerodynamic optimization of tall buildings

  • Xu, Zhendong;Xie, Jiming
    • Wind and Structures
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    • v.21 no.5
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    • pp.505-521
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    • 2015
  • A general approach of aerodynamic optimization of tall buildings is presented in this paper, focusing on how to best compromise wind issues with other design aspects in the most efficient manner. The given approach is reinforced by establishing an empirical method that can quickly assess the across-wind loads and accelerations as a function of building frequencies, building dimensions, aspect ratios, depth-to-width ratios, and site exposures. Effects of corner modifications, including chamfered corner and recessed corner, can also be assessed in early design stages. Further, to assess the effectiveness of optimization by tapering, stepping or twisting building elevations, the authors introduce a method that takes use of sectional aerodynamic data derived from a simple wind tunnel pressure testing to estimate reductions on overall wind loads and accelerations for various optimization options, including tapering, stepping, twisting and/or their combinations. The advantage of the method is to considerably reduce the amount of wind tunnel testing efforts and speed up the process in finding the optimized building configurations.

A Development of Reflector for CAL/VAL of SAR Satellite (SAR 위성 검보정을 위한 반사기 개발)

  • Keum, Jung-Hoon;Ra, Sung-Woong
    • Journal of Astronomy and Space Sciences
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    • v.26 no.4
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    • pp.667-676
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    • 2009
  • The payload can be classified as a passive and active type. Generally radar satellite to acquire specific information through various radar images will use the SAR (Synthetic Aperture Radar) as active type payload. the principal of SAR satellite is to receive the signal returned from certain objects and/or surfaces in order to construct an radar image. The data acquired from the satellite in its real orbit shall be needed to perform successful CAL/VAL (Calibration & Validation) because the SAR satellite have to receive the returned signal for SAR image construction. In order to do the above, the returned signal shall be related to ground targets. Especially ground target is the corner reflector (CR) for CAL/VAL. Generally the reflector has various types and shapes. Their selection can be dependent on characteristics and mission objectives of SAR satellite. In this paper, reflector focused on the optimal case and effective case has been studied and then the trihedral corner reflector under this study has been designed and its performance also analyzed.

The Analysis About The Yield Strength Improvement of The Silicon Low-pressure Sensor (저압용 실리콘 압력센서의 내압 특성 향상에 관한 해석)

  • Lee, Seung-Hwan;Kim, Hyeon-Cheol
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.48 no.3
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    • pp.18-24
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    • 2011
  • This paper presents that the yield strength of the pressure sensor with a double boss diaphragm structure can be improved as the grooves are formed at the corner of the diaphragm bridge. Generally the boss structure is widely used for the low-pressure sensor, of which the sensitivity is not enough in case of the small diaphragm size limited by a chip size constraint. The double boss structure pressure sensor exhibits a great sensitivity, but suffers from the low yield strength problem due to the high stress occurred at the corner of the diaphragm bridge to be limited in the operating range. ANSYS simulation is performed by changing the length of the groove from 0.5${\mu}m$ to 10${\mu}m$ at the corner of the diaphragm bridge of the double boss structure pressure sensor. The maximum stress is analyzed at the corner of the diaphragm bridge, the edge of the diaphragm bridge, and the position of the piezoresistive sensor. Consequently, in case the length of the groove from the edge of the diaphragm is 6${\mu}m$ or greater, the stress occurred in the corner of the bridge is less than the stress acting on a piezoresistive element.

3D Numerical investigation of a rounded corner square cylinder for supercritical flows

  • Vishwanath, Nivedan;Saravanakumar, Aditya K.;Dwivedi, Kush;Murthy, Kalluri R.C.;Gurugubelli, Pardha S.;Rajasekharan, Sabareesh G.
    • Wind and Structures
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    • v.35 no.1
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    • pp.55-66
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    • 2022
  • Tall buildings are often subjected to steady and unsteady forces due to external wind flows. Measurement and mitigation of these forces becomes critical to structural design in engineering applications. Over the last few decades, many approaches such as modification of the external geometry of structures have been investigated to mitigate wind-induced load. One such proven geometric modification involved the rounding of sharp corners. In this work, we systematically analyze the impact of rounded corner radii on the reducing the flow-induced loading on a square cylinder. We perform 3-Dimensional (3D) simulations for high Reynolds number flows (Re=1 × 105) which are more likely to be encountered in practical applications. An Improved Delayed Detached Eddy Simulation (IDDES) method capable of capturing flow accurately at large Reynolds numbers is employed in this study. The IDDES formulation uses a k-ω Shear Stress Transport (SST) model for near-wall modelling that prevents mesh-induced separation of the boundary layer. The effects of these corner modifications are analyzed in terms of the resulting variations in the mean and fluctuating components of the aerodynamic forces compared to a square cylinder with no geometric changes. Plots of the angular distribution of the mean and fluctuating coefficient of pressure along the square cylinder's surface illustrate the effects of corner modifications on the different parts of the cylinder. The windward corner's separation angle was observed to decrease with an increase in radius, resulting in a narrower and longer recirculation region. Furthermore, with an increase in radius, a reduction in the fluctuating lift, mean drag, and fluctuating drag coefficients has been observed.

Feature Detection using Geometric Mean of Eigenvalues of Gradient Matrix (그레디언트 행렬 고유치의 기하 평균을 이용한 특징점 검출)

  • Ye, Chul-Soo
    • Korean Journal of Remote Sensing
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    • v.30 no.6
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    • pp.769-776
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    • 2014
  • It is necessary to detect the feature points existing simultaneously in both images and then find the corresponding relationship between the detected feature points. We propose a new feature detector based on geometric mean of two eigenvalues of gradient matrix which is able to measure the change of pixel intensities. The corner response of the proposed detector is proportional to the geometric mean and also the difference of two eigenvalues in the case of same geometric mean. We analyzed the localization error of the feature detection using aerial image and artificial image with various types of corners. The localization error of the proposed detector was smaller than that of the typical corner detector, Harris detector.

Effects of Corner Radius on the Stress Strength Safety of LPG Steel Cylinder (LPG 강재용기의 응력강도 안전성에 미치는 코너반경의 영향)

  • Kim, Chung Kyun
    • Journal of the Korean Institute of Gas
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    • v.19 no.1
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    • pp.18-22
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    • 2015
  • This paper presents the stress strength safety of LPG steel cylinder for various corner radiuses of upper round end plate and lower round end plate by using a finite element method. The FEM analyzed results indicate that the most influential elements is a corner radius of upper round end plate and lower round end plate rather than a thickness of LPG cylinder. But, the thickness of a steel cylinder is an important design element considering for a weight reduction of a cylinder. Thus, this paper recommends that the LPG steel cylinder thickness is 2.3~2.6mm and the corner radius of upper round end plate and lower round end plate is over 157mm as an optimum design for the maximum testing pressure of 3.04MPa.

Boundary element analysis of singular thermal stresses in a unidirectional laminate

  • Lee, Sang Soon;Kim, Beom Shig
    • Structural Engineering and Mechanics
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    • v.5 no.6
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    • pp.705-713
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    • 1997
  • The residual thermal stresses at the interface corner between the elastic fiber and the viscoelastic matrix of a two-dimensional unidirectional laminate due to cooling from cure temperature down to room temperature were studied. The matrix material was assumed to be thermorheologically simple. The time-domain boundary element method was employed to investigate the nature of stresses on the interface. Numerical results show that very large stress gradients are present at the interface corner and this stress singularity might lead to local yielding or fiber-matrix debonding.