• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제9권2호
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• pp.17-27
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• 2005

The problem of the onset stability in an inclined layer of dielectric viscoelastic fluid (Walter's liquid B') is studied. The analysis is made under the simultaneous action of a normal a.c. electric field and the natural convection flow due to uniformly distributed internal heat sources. The power series method used to obtain the eigen value equation which is then solved numerically to obtain the stable and unstable solutions. Numerical results are given and illustrated graphically.

• Geomechanics and Engineering
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• 제25권3호
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• pp.233-243
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• 2021

Rib spalling is a major issue affecting the safety of steeply inclined coal seam. And the failure coal face and support system can be affected with each other to generate a vicious cycle along with inducing large-scale collapse of surrounding rock in steeply inclined coal seam. In order to analyze failure mechanism and propose the corresponding prominent control measures of steeply inclined coal working face, mechanical model based on coal face-support-roof system and mechanical model of coal face failure was established to reveal the disaster mechanism of rib spalling and the sensitive analysis of related factors was performed. Furthermore, taking 3402 working face of Chen-man-zhuang coal mine as engineering background, numerical model by using FLAC3D was built to illustrate the propagation of displacement and stress fields in steeply inclined coal seam and verify the theory analysis as mentioned in this study. The results show that the coal face slide body in steeply inclined working face can be observed as the failure height of upper layer smaller than that of lower layer exhibiting with an irregular quadrilateral pyramid shape. Moreover, the cracks were originated from the upper layer of sliding body and gradually developed to the lower layer causing the final rib spalling. The influence factors on the stability of coal face can be ranked as overlying strata pressure (P) > mechanical parameters of coal body (e.g., cohesion (c), internal fraction angle (φ)) > support strength (F) > the support force of protecting piece (F') > the false angle of working face (Θ). Moreover, the corresponding control measures to maintain the stability of the coal face in the steeply inclined working face were proposed.

• 대한기계학회논문집
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• 제8권1호
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• pp.10-17
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• 1984

The critical conditions marking the onset of thermally induced vortices over an inclined iso-thermal plate are investigated using the linear stability theory. The stability equations are simplified by estimating the orders of magnitude of respective terms. The analysis is carried out under the assumption that for the system of large Prandtl numbers temperature disturbances are initiated within the conventional thermal boundary layer of the basic flow. The stability criteria obtained from the present results agree well with those of the existing quasi-parallel flow models. In addition it is found that the critical conditions generate the heat transfer correlation in good agreement with experiments. Therefore, it is suggested that the validity of existing theoretical models will be reexamined.

• 한국공간구조학회논문집
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• 제23권2호
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• pp.19-28
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• 2023

Timber structures are susceptible to moisture, contamination, and pest infestation, which can compromise their integrity and pose a significant fire hazard. Despite these drawbacks, timber's lightweight properties, eco-friendliness, and alignment with current architectural trends emphasizing sustainability make it an attractive option for construction. Moreover, timber structures offer economic benefits and provide a natural aesthetic that regulates building temperature and humidity. In recent years, timber domes have gained popularity due to their high recyclability, lightness, and improved fire resistance. Researchers are exploring hybrid timber and steel domes to enhance stability and rigidity. However, shallow dome structures still face challenges related to structural instability. This study investigates stability problems associated with timber domes, the behavior of timber and steel hybrid domes, and the impact of timber member positioning on dome stability and critical load levels. The paper analyzes unstable buckling in single-layer lattice domes using an incremental analysis method. The critical buckling load of the domes is examined based on the arrangement of timber members in the inclined and horizontal directions. The analysis shows that nodal snapping is observed in the case of a concentrated load, whereas snap-back is also observed in the case of a uniform load. Furthermore, the use of inclined timber and horizontal steel members in the lattice dome design provides adequate stability.

• 한국지반공학회논문집
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• 제31권4호
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• pp.57-66
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• 2015

지진에 대한 사면 재해도 작성 시 일반적으로 Newmark 활동블록 이론에 기초한 변위 추정식이 사용된다. 하지만 기존에 제안된 추정식들은 활동면에서의 동적 응답을 고려하지 않고 제방, 흙댐, 매립지 등 비교적 완만한 경사의 지반구조물을 대상으로 제안되었으며 산사면과 같이 경사진 기반암에 토사층이 피복된 경우에는 적합하지 않다. 본 연구에서는 산사면의 지형적 특성을 모사한 2차원 비선형 동적해석을 수행하여 이의 동적 응답 특성을 분석하였다. 지진 시 산사면의 영구변위는 활동면에서 계산된 등가가속도를 Newmark 활동블록 방법에 적용하여 계산하였다. 이와 같이 계산된 영구변위는 본 연구에서 제안된 간편 변위 추정식과 비교하여 정확도를 평가하였다. 검토 결과, 산사면의 기하학적 증폭은 입력 지진의 세기와 주기, 토층의 고유주기에 영향을 크게 받으므로 이를 고려하지 않는 기존의 경험식은 영구변위를 정확하게 예측하지 못하는 것으로 나타났다. 변위 예측식의 정확도는 최대지반가속도, 최대지반속도, Arias 진도, 평균주기와 토층의 고유주기가 고려될 경우 현격하게 향상되는 것으로 분석되었으며 이를 기반으로 하여 새로운 변위추정식이 제시되었다. 나아가 본 연구에 제안된 변위추정식은 산사태 재해 위험도 예측에 적용되어 정확성이 검증되었다.