• Structural Engineering and Mechanics
• /
• 제63권3호
• /
• pp.269-280
• /
• 2017

One major concern that has occupied the mind of the designers is a structural failure as result of stress concentration in the geometrical discontinuities. Understanding the effective parameters contribute to stress concentration and proper selection of these parameters enables the designer get to a reliable design. In the analysis of perforated isotropic and orthotropic plates, the effective parameters on stress distribution around holes include load angle, curvature radius of the corner of the hole, hole orientation and fiber angle for orthotropic materials. This present paper tries to examine the possible effects of these parameters on stress analysis of infinite perforated plates with central quasi-square hole applying grey wolf optimizer (GWO) inspired by the particular leadership hierarchy and hunting behavior of grey wolves in nature, and also the present study tries to introduce general optimum parameters in order to achieve the minimum amount of stress concentration around this type of hole on isotropic and orthotropic plates. The advantages of grey wolf optimizer are stout, flexible, simple, and easy to be enforced. The used analytical solution is the expansion of Lekhnitskii's solution method. Lekhnitskii applied this method for the stress analysis of anisotropic plates containing circular and elliptical holes. Finite element numerical solution is employed to examine the results of present analytical solution. Results represent that by selecting the aforementioned parameters properly, fewer amounts of stress could be achieved around the hole leading to an increase in load-bearing capacity of the structure.

• Geomechanics and Engineering
• /
• 제13권4호
• /
• pp.585-600
• /
• 2017

This study deals with simple solutions for a spherical or circular opening excavated in elastic-brittle plastic rock mass compatible with a linear Mohr-Coulomb (M-C) or a nonlinear Hoek-Brown (H-B) yield criterion. Based on total strain approach, the closed-form solutions of stresses and displacement are derived simultaneously for circular and spherical openings using original H-B and M-C yield criteria. Two simple numerical procedures are proposed for the solution of generalized H-B and M-C yield criteria. Based on incremental approach, the similarity solution is derived for circular and spherical openings using generalized H-B and M-C yield criteria. The classical Runge-Kutta method is used to integrate the first-order ordinary differential equations. Using three data sets for M-C and H-B models, the results of the radial displacements, the spreading of the plastic radius with decreasing pressure, and the radial and circumferential stresses in the plastic region are compared. Excellent agreement among the solutions is obtained for all cases of spherical and circular openings. The importance of the use of proper initial values in the similarity solution is discussed.

• Advances in nano research
• /
• 제8권3호
• /
• pp.245-254
• /
• 2020

This work examines the fundamental vibrational characteristics of a spinning CNT-based nano-rotor assuming a nonlocal elasticity Euler-Bernoulli beam theory. The rotary inertia, gyroscopic, and rotor mass unbalance effects are all taken into consideration in the beam model. Assuming a nonlocal theory, two coupled 6th-order partial differential equations governing the vibration of the rotating SWCNT are first derived. In order to acquire the natural frequencies and dynamic response of the nano-rotor system, the nonlinear equations of motion are numerically solved. The nano-rotor system frequency spectrum is shown to exhibit two distinct frequencies: one positive and one negative. The positive frequency is known as to represent the forward whirling mode, whereas the negative characterizes the backward mode. First, the results obtained within the framework of this numerical study are compared with few existing data (i.e., molecular dynamics) and showed an overall acceptable agreement. Then, a thorough and detailed parametric study is carried out to study the effect of several parameters on the nano-rotor frequencies such as: the nanotube radius, the input angular velocity and the small scale parameters. It is shown that the vibration characteristics of a spinning SWCNT are significantly influenced when these parameters are changed.

• 천문학회지
• /
• 제37권5호
• /
• pp.605-609
• /
• 2004

We present a set of high-resolution 3D MHD simulations exploring the evolution of light, supersonic jets in cluster environments. We model sets of high- and low-Mach jets entering both uniform surroundings and King-type atmospheres and propagating distances more than 100 times the initial jet radius. Through complimentary analyses of synthetic observations and energy flow, we explore the detailed interactions between these jets and their environments. We find that jet cocoon morphology is strongly influenced by the structure of the ambient medium. Jets moving into uniform atmospheres have more pronounced backflow than their non-uniform counterparts, and this difference is clearly reflected by morphological differences in the synthetic observations. Additionally, synthetic observations illustrate differences in the appearances of terminal hotspots and the x-ray and radio correlations between the high- and low-Mach runs. Exploration of energy flow in these systems illustrates the general conversion of kinetic to thermal and magnetic energy in all of our simulations. Specifically, we examine conversion of energy type and the spatial transport of energy to the ambient medium. Determination of the evolution of the energy distribution in these objects will enhance our understanding of the role of AGN feedback in cluster environments.

• 한국유체기계학회 논문집
• /
• 제3권2호
• /
• pp.31-35
• /
• 2000

In this research, the performance predictions of the submersible mixer were investigated. The variation of the performance characteristics by changing the impeller design parameters were discussed through the flow calculation results by using a commercial program, FLUENT. The performance of the submersible mixers is related to the velocity diffusion profiles downstream of the impeller and also the required input motor power to mix the fluid. In this study, the various design parameters such as the number of blade, the hub and tip diameters, the impeller blade profiles and revolution speed of the blades were taken for the fixed values. The blade sweep direction, the chord length distribution along with the radius of the blade and the inlet blade angle were changed to make different testing models. The flow calculation results show the effect of the changed design parameters on the performance of the submersible mixers and also give some helpful information for designing more efficient submersible mixers.

• 천문학회지
• /
• 제46권4호
• /
• pp.173-181
• /
• 2013

We trace the dynamical evolution of dark matter (DM) content in NGC 6397, one of the native Galactic globular clusters (GCs). The relatively strong tidal field (Galactocentric radius of ~ 6 kpc) and short relaxation timescale (~0.3 Gyr) of the cluster can cause a significant amount of DM particles to evaporate from the cluster in the Hubble time. Thus, the cluster can initially contain a non-negligible amount of DM. Using the most advanced Fokker-Planck (FP) method, we calculate the dynamical evolution of GCs for numerous initial conditions to determine the maximum initial DM content in NGC 6397 that matches the present-day brightness and velocity dispersion profiles of the cluster. We find that the maximum allowed initial DM mass is slightly less than the initial stellar mass in the cluster. Our findings imply that NGC 6397 did not initially contain a significant amount of DM, and is similar to that of NGC 2419, the remotest and the most massive Galactic GC.

• 대한토목학회논문집
• /
• 제4권1호
• /
• pp.69-77
• /
• 1984

본(本) 연구(硏究)에서는 아치의 미소요소(微小要素)에 대한 평형방정식(平衡方程式)과 D'Alembert의 원리(原理)를 이용(利用)하여 포물선(抛物線)아치의 자유진동(自由振動)에 관한 미분방정식(微分方程式)을 유도(誘導)하였고, 이 미분방정식(微分方程式)을 Runge-Kutta 적분기법(積分技法)에 적용(適用)하여 수치해석(數値解析)할 수 있는 알고리듬을 개발(開發)하였고 이를 콤퓨터 프로그램화(化) 하였다. 수치해석예제(數値解析例題)로는 아치의 지간(支間)길이가 10m인 양단(兩端)힌지 아치를 택(擇)하였으며 수치해석(數値解析)의 결과(結果)를 분석(分析)하여 아치의 높이, 회전반경(回轉半徑) 및 회전관성(回轉慣性)이 포물선(抛物線)아치의 자유진동(自由振動)에 미치는 영향(影響)에 대하여 고찰(考察)하였다.

• 대한기계학회논문집B
• /
• 제35권3호
• /
• pp.287-291
• /
• 2011

증발하면서 원형으로 퍼져가고 있는 액체에 대한 모델을 지배하는 연립 상미분 방정식은 지금까지 수치해석적인 방법으로 풀어 왔는데 본 연구에서 섭동해를 최초로 구하였다. 액체의 순간적인 누출과 연속적인 누출에 대하여 섭동 변수로써 단위면적 당 증발률을 사용하여 1차항까지 섭동해를 구하였다. 1차 섭동해의 계산 결과 풀의 부피에 대하여 초기에는 수치해와 잘 일치 하였으나 후기에는 약간의 차이가 존재하였으며 풀의 반경에 대하여는 두가지 종류의 해가 거의 일치 하였다.

• 한국자동차공학회논문집
• /
• 제18권1호
• /
• pp.58-65
• /
• 2010

For the improvement of fuel consumption, the study on the use of lightweight material or thinner sheet have been carried out in automotive industry. With the need for the use of thinner sheet, the dent resistance became one of the major concern in th design of exterior panels in automotive industry. Many studies have been carried out for the dent resistance by experiment or quasi-static numerical simulation. In this study, the dent formation behavior is investigated by dynamic finite element analysis using ABAQUS. Dent formation may be affected by many factors such as sheet thickness, material properties, pre-strain, and sheet curvature. The effect of these factors on dent resistance is investigated. From the analysis following three conclusions are derived. First, dent resistance become hard as the sheet curvature radius increases. Second, dynamic dent resistance is mainly affected by bending stress rather than tensile stress. Third, the pre-strain itself do not give any guidance for dynamic dent resistance and dynamic dent resistance have to be decided considering the strain hardening and thickness reduction together. The results are considered to be reliable and useful to improve the dent damage of automotive panels.

• 한국강구조학회 논문집
• /
• 제14권6호
• /
• pp.683-690
• /
• 2002

본 연구에서는 국내에 적용된 강바닥판의 데크플레이트와 종리브 현장 연결 스캘럽부의 구조상세를 검토하고 실험체를 제작하여 정적재하실험 및 피로실험을 실시하였다. 또한 FEM 해석을 통하여 스캘럽 길이, 스캘럽 곡률반경, 데크플레이트 두께 등과 같은 매개변수가 종리브 스캘럽부의 응력에 미치는 영향을 살펴보았으며, 이를 통하여 스캘럽부에 대한 S-N선도를 추정하였다. 피로실험을 수행한 결과, 낮은 응력수준에서는 스캘럽부에서 피로균열이 발생하였고, 높은 응력수준에서는 핸드홀 덮개판의 파괴 후에 종리브의 갑작스런 파괴가 일어났다. 피로실험결과를 JSSC 피로등급과 Shigley와 Juvinall이 제안한 방법에 의한 피로강도와 비교검토한 결과, 데크플레이트와 종리브 현장연결 스캘럽부는 규정된 피로등급를 만족하였다.