• Korean Journal of Mathematics
• /
• 제13권1호
• /
• pp.113-122
• /
• 2005

We consider the iterative schemes for the large sparse linear system to solve partial differential equations. Using spectral radius of iteration matrices, the optimal relaxation parameters and good parameters can be obtained. With those parameters we compare the effectiveness of the SOR and SSOR algorithms. Applying Crank-Nicolson approximation, we observe the error distribution according to domain decomposition. The number of processors due to domain decomposition affects time and error. Numerical experiments show that effectiveness of SOR and SSOR can be reversed as time size varies, which is not the usual case. Finally, these phenomena suggest conjectures about equilibrium time grid for SOR and SSOR.

• 한국자동차공학회논문집
• /
• 제6권2호
• /
• pp.43-53
• /
• 1998

This paper addresses an optimization for reducing a steering error of a rack-and-pinion steering linkage with a MacPherson strut independent front suspension system. The length, orientations and inner joint positions of a tie-rod are selected as design variables and Ackerman geonetry, understeer effect, minimum turn radius, wheel alignment and packaging are considered as design constraints. Nonlinear kinematic analysis of the steering system is performed for calculating the values of cost and constraints, and Augmented Lagrange Multiplier(ALM) method is used for solving the constrained optinization problem. The optimization results show that the steering error are considerably reduced while satisfying all the constraints.

• Journal of Advanced Research in Ocean Engineering
• /
• 제1권2호
• /
• pp.134-147
• /
• 2015

This study proposes a method to determine the effective angular velocity of each motor of a specific four-rows tracked vehicle (FRTV) in order to follow a given turning radius. The configuration of the four-rows tracked vehicle is introduced, and its dynamics analysis model is built using the DAFUL commercial software. The soil has been assumed to be hard ground, and the friction force between the ground and the tracked links is calculated using the Coulomb friction model. This paper uses a simulation to show that the error in the position increased with respect to the angle of the curvatures, so a method is proposed to compensate for the error in the motion of the motors. Various simulations are then carried out to verify the proposed formulation. The effects of the soil characteristics and the driving velocity will be further investigated in future studies.

• 대한기계학회논문집A
• /
• 제27권12호
• /
• pp.2028-2038
• /
• 2003

High-speed feed drive systems have been widely used in the manufacturing and semiconductor industries. Specifications for high-speed systems require more advanced capabilities than conventional feed drive systems. It is necessary to devise special design concepts to achieve the level of performance for high-speed feed drive systems. In this paper, an integrated design method is proposed for high-speed feed drive systems in which the interactions between mechanical and electrical subsystems ought to be considered simultaneously during the design process. Based on the integrated design method, a nonlinear optimal design procedure of mechanical subsystems considering the Abbe and radius errors is accomplished through the design process of electrical subsystems satisfying the control stability and the saturation condition of actuators as well as the relative stability. Both mechanical and electrical parameters are considered as design variables. Simulations and numerical case studies show that the integrated design method of high-speed feed drive systems creates results satisfying the desired performances of mechatronic systems.

• Corrosion Science and Technology
• /
• 제16권4호
• /
• pp.201-208
• /
• 2017

A finite element analysis is proposed to study the effect of specimen dimensions on lateral diffusion of hydrogen during hydrogen permeation flux measurements. The error of measurement on thick specimens because of 1D diffusion approximation may be as much as 70%. A critical condition for accurate measurements is to designate the area of hydrogen monitoring/exit surface smaller than the area of hydrogen charging/entry surface. For thin to medium thickness specimens (ratio of thickness to specimen radius of 5:10 and below), the charging surface should be maximized and the monitoring surface should be minimized. In case of relatively thick specimens (ratio of thickness to specimen radius above of 5:10), use of a hydrogen-diffusion barrier on the specimen boundaries is recommended. It would completely eliminate lateral losses of hydrogen, but cannot eliminate the deviation towards 2D diffusion near the side edges. In such a case, the charging surface should be maximized and the monitoring surface should be as closer in dimension as the charging surface. A regression analysis was carried out and an analytical relationship between the maximum measurement error and the specimen dimensions is proposed.

• 한국환경과학회지
• /
• 제12권6호
• /
• pp.615-626
• /
• 2003

The applied model for this study area is WINFLOW using mite element method, It is thought that the simulation result by WINFLOW model under the steady flow state reflects well the ground water distribution within the reliability level which shows the error range of 1.1% to 8.0% from the comparison between the computed values and the observed, and analyzed that the constant head distribution is shown along the east-west direction and gentle and stable head gradient along the north-south direction. Ground water of the study area shows stable movement from the south to the stream area, and the particle trace for each location shows relatively linear shape from the upstream to the pumping location while the radius of influence according to the pumping amount shows a significant difference at the down stream area from the pumping location. The simultaneous pumping from P and P1 shows more complicated appearance, not the increase of the radius of influence than pumping from a single well P or P1, and it is analyzed that the particle path takes nearly linear form. It is known that the flow direction of the ground water and the velocity of the flow affect on the magnitude of the radius of influence of the wells from the fact that the more decreasing pattern of the ground water head is observed at the side of the well and the down stream area than the upstream area when the ground water moves from south to north regarding the radius of influence according to the pumping amount. Satisfactory results in analyses of ground water movement are obtained through the significant reduction of the physical uncertainties in the flow system as well as the relatively convenient model application using WINFLOW model which is proposed in this study.

• 대한기계학회논문집A
• /
• 제32권1호
• /
• pp.35-42
• /
• 2008

본 연구에서는 원뿔형 압입자를 이용한 압입시험의 기초 유한요소해석으로부터 자기유사성을 나타내는 Kick's law 계수 C의 영향을 조사하고, 선단반경의 변화가 하중-변위 곡선에 미치는 영향을 회귀분석을 통해 살펴보았다. 아울러 항복강도와 변형경화지수 등의 변수들이 재료 영률평가에 미치는 영향을 분석하였다. 기존 영률 평가에 널리 사용되는 탄성이론에 기초한 Pharr 등의 식을 일반적인 탄소성 금속재료에 적용하기 위하여 다양한 재료에 대한 유한요소해석을 수행하였다. 재료 영률평가 시 압입자 선단반경과 압입깊이의 영향을 최소화하기 위해 Pharr 등의 식에 수정된 보정계수 k를 도입한 영률예측식을 제시하였다. 새로운 영률예측식은 텅스텐 카바이드와 다이아몬드 압입자일 때 모두 2%내의 평균 오차범위에서 각 재료의 영률을 평가할 수 있다.

• 지질공학
• /
• 제32권3호
• /
• pp.389-399
• /
• 2022

Observations on the influence of the fluid infiltration on the breakdown pressure during laboratory hydraulic fracturing tests, along with an analysis of the applicability of the breakdown pressure prediction for cylindrical samples using Quasi-static and Linear Elastic Fracture Mechanics approaches were carried out. These approaches consider fluid infiltration through the so-called radius of fluid infiltration or crack radius, a parameter that is not a material property. Two sets of tests under pressurization rate controlled and injection rate controlled tests were used to evaluate the applicability of these methods. The difficulty of the estimation of the radius of fluid infiltration was solved by back calculating this parameter from an initial set of tests, and later, the obtained relationships were used to predict breakdown pressures for a second set of tests. The results showed better predictions for the injection rate than for the pressurization rate tests, with average errors of 3.4% and 18.6%, respectively. The larger error was attributed to differences in the testing conditions for the pressurization rate tests, which had different applied vertical pressures. On the other hand, for the tests carried out under constant injection rate, the Linear Elastic Fracture Mechanics solution reported lower errors compared to the Quasi-static solution, with values of 3% and 3.8%, respectively. Moreover, a sensitivity analysis illustrated the influence of the radius of fluid penetration or crack radius and the tensile strength on the breakdown pressure, suggesting a need for a careful estimation of these values. Then, the calculation of breakdown pressure considering fluid infiltration in cylindrical samples under triaxial conditions is possible, although larger data sets are desirable to validate and derive better relations.

• 대한치과재료학회지
• /
• 제44권4호
• /
• pp.329-336
• /
• 2017

본 연구는 맞춤형 지대주 (custom abutment) 설계 시 CAD 프로그램 내에서 선택된 수렴 각 그리고 곡률 반경 값 사용에 따른 가공 정확도를 평가하고자 한다. 치과용 CAD를 기반으로 10개의 맞춤형 지대주를 설계하였다. 제작된 맞춤형 지대주를 정밀 접촉식 스캐너를 이용하여 한 개의 시편을 10회 반복 스캔하였다. 스캔 된 맞춤형 지대주의 데이터는 "Test STL" 파일로 지정하여 저장하였다. Geomagic studio 소프트웨어를 이용하여 각 "Test STL" 파일과 동명 번호로 지정하여 저장된 CAD-reference-model STL 파일 (CRM)과 중첩하였다. 실험 결과에서 A8 군(수렴 각 $8^{\circ}$) 군은 A4 군(수렴 각 $4^{\circ}$) 보다 낮은 오차 수치를 나타났다. 또한, 곡률 반경 값이 높을 수록 맞춤형 지대주의 Top 그리고 chamfer 부위에 오차가 적게 나타냈다(p< 0.05). 전체적으로, 맞춤형 지대주 설계 시 곡률 반경 값은 가공 정확도에 영향을 미치는 것을 알 수 있었다.

• Design & Manufacturing
• /
• 제14권1호
• /
• pp.63-68
• /
• 2020

Ultra-high brightness and thin displays need to optical micro-patterns which can uniformly diffuse the lights and low loss. The micro random patterns have characteristics to rise the optical efficiency such as light extraction, uniform diffusion. For this reason, various fabrication processes are studied for random patterns. In this study, the micro random patterns were machined by diamond turning which used a controlled cutting tool path with random cutting depth. The machined patterns had random shape and directionality along the circumferential direction. The average width and length of machined random pattern according to rotation radius were 40.13㎛~55.51㎛ and 37.25㎛~59.49㎛, and these results were compared with the designed result. Also, the machining error according to rotation radius in diamond turning using randomly controlled cutting depth was discussed.