• Nonlinear Functional Analysis and Applications
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• 제27권3호
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• pp.663-677
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• 2022

This present paper extends some fixed point theorems in rectangular b-metric spaces using subadditive altering distance and establishing the existence and uniqueness of fixed point for Kannan type mappings. Non-trivial examples are further provided to support the hypotheses of our results.

• 한국산학기술학회논문지
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• 제16권3호
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• pp.2263-2271
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• 2015

압축력을 받는 얇은 원통형 쉘 구조물은 좌굴에 대한 안정성을 검토해야 한다. 좌굴에 대한 검토 시, 좌굴강도에 민감한 영향을 미치는 초기결함에 대한 중요성은 많은 선행연구에서 언급하였으나 다양한 초기결함의 영향성을 반영 할 수 있는 좌굴강도 연구가 필요하다. Eurocode에서 제시하고 있는 초기결함의 영향성을 반영하는 설계 계수 ${\alpha}$의 경우도 단면의 두께로 결정되는 특정 초기결함만을 포함하고 있어 다양한 초기결함에 대한 좌굴강도를 예측하기 어렵다. 본 논문에서는 초기결함의 영향성을 보기 위해 초기결함의 크기를 변화시켜가며 휨을 받고 있는 원통형 단면의 좌굴강도를 기하 재료비선형 해석을 통해 얻어내었다. FEM해석을 통하여 다양한 초기결함을 반영할 수 있는 수정된 ${\alpha}^{\prime}$을 제안하여 보다 합리적인 원통형 휨 좌굴강도를 계산할 수 있는 방법을 제시하였다.

• Nuclear Engineering and Technology
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• 제52권11호
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• pp.2422-2430
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• 2020

In order to improve calculational efficiency of the CAPP code in the analysis of the hexagonal reactor core, we have tried to implement a refined AFEN method with transverse gradient basis functions and interface flux moments in the hexagonal geometry. The numerical scheme for the refined AFEN method adopted here is the response matrix method that uses the interface partial currents as nodal unknowns instead of the interface fluxes used in the original AFEN method. Since the response matrix method is single-node based, it has good properties such as good calculational efficiency and parallel computing affinity. Because a refined AFEN method equivalent nonlinear FDM response matrix method tried first could not provide a numerically stable solution, a direct formulation of the refined AFEN response matrix were developed. To show the numerical performance of this response matrix method against the original AFEN method, the numerical error analyses were performed for several benchmark problems including the VVER-440 LWR benchmark problem and the MHTGR-350 HTGR benchmark problem. The results showed a more than three times speedup in computing time for the LWR and HTGR benchmark problems due to good convergence and excellent calculational efficiency of the refined AFEN response matrix method.

• 한국공간구조학회논문집
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• 제17권1호
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• pp.49-58
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• 2017

The result of the previous work leads to the idea that the inner area of the hyperbolic shell generator should be minimized for the cooling tower with higher first natural frequency. In this study the inner area of the hyperbolic shell generator was graphically established under varying height of the throat and angle of the base lintel. From the graph, several shell geometries were selected and analysed in the aspect of the natural frequency. Three representative towers reinforced differently due to different first natural frequencies were analysed non-linearly and evaluated using a damage indicator based on the change of natural frequencies. The results demonstrated that the damage behaviour of the tower reinforced higher due to a lower first natural frequency was not necessarily advantageous than the others.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1997년도 하계학술대회 논문집 A
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• pp.47-50
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• 1997

The FEM(Finite Element Method) can be used to analysis SRM(Switched Reluctance Motor) as it can account for the salient pole geometry of the stator and rotor and the nonlinear properties of the magnetic materials. However, FEM requirers a lot of computer memory and computing time because, the kind of SRM drivers is verity and the switching strategies are various for one SRM driver. In this paper we proposed the method of analysis of a SRM which results are similar to FEM and has very short computing time. The Inductance and torque for each phase current at each rotor position are calculated by using two-dimensional nonlinear FEM analysis. Using the look-up table of inductance and torque and the voltage equations of SRM we obtained the phase current and torque. To verify proposed algorithm, 3 phase 6/4 SRM is analysed and found a good agreement with FEM results. And computing time is about 1/1600 of the FEM analysis.

• 한국전산구조공학회논문집
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• 제37권4호
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• pp.259-265
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• 2024

형상기억합금(SMA)-섬유 액추에이터는 소프트 로봇 공학 및 웨어러블 기술을 포함한 다양한 분야에서 큰 주목을 받아왔다. 이러한 부드러운 액추에이터는 SMA와 단순 직물 섬유를 결합하여 개발되었으며, K 루프와 P 루프라는 두 가지 루프 패턴으로 편직되었다. 두 루프 모두 루프 헤드 형상으로 인해 반대 굽힘 특성으로 구별된다. 그러나 이러한 액추에이터 시트의 편직 공정에는 전문 지식과 시간이 필요하므로 편직 루프 작동 시트의 생산 비용이 높아진다. 이 논문에서는 전압을 가할 때 큰 변형이 발생하는 SMA 직물 기반 액추에이터의 변형을 평가하는 새로운 방법을 소개하였다. SMA 재료의 매우 비선형적인 구성 방정식으로 인해 수치 분석을 위한 분석 모델을 개발하는 것은 어렵다. 따라서 본 연구에서는 SMA 재료의 대변형을 고려하면서 SMA-섬유 액추에이터의 초기 설계에 사용할 수 있는 선형 구성 방정식을 활용하는 새로운 접근 방식을 제안하였다. 전기-기계연성 효과를 모델링할 수 있는 선형구성방적식은 ABAQUS의 UMAT을 사용하여 구현하였다. 이 등가 단위 셀 모델(EUC)은 K-루프와 P-루프의 실험적 굽힘 작동 결과와 비교하여 검증하였다.

• 대한기계학회논문집B
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• 제26권6호
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• pp.795-804
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• 2002

The optimal design code of an axial flow pump has been developed to determine geometric and fluid dynamic variables under hydrodynamic as well as mechanical design constraints. The design code includes the optimization of the complete radial distribution of the geometry by determining the coefficients of 2$^{nd}$ order polynomials to represent the three-dimensional geometry. The optimization problem has been formulated with a nonlinear multivariable objective function, maximizing the efficiency and stall margin, while minimizing the net positive suction head required. Calculation of the objective function is based on the mean streamline analysis and through-flow analysis using the present state-of-the-art model. The optimal solution is calculated using the penalty function method in which the genetic optimizer is employed. The optimized efficiency and design variables are presented in this paper as a function of non-dimensional specific speed in the range, 2$\leq$ $n_{s}$ $\leq$10. The results can be used in preliminary design of axial flow pumps.

• 대한기계학회논문집A
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• 제30권5호
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• pp.533-542
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• 2006

In order to assess the integrity of pipes with local thinning area, the plastic strain as well as the elastic strain at the root of thinned region are required particularly when fluctuating load is applied to the pipe. For estimating elastic-plastic strain at local wall thinning area in a straight pipe under tensile load, an estimation model with idealized fully circumferential constant depth wall thinning area is proposed. Based on the compatibility and equilibrium equations a nonlinear estimation equation, from which local elastic-plastic strain can be determined as a function of pipe/defect geometry, material and the applied strain was derived. Estimation results are compared with those from detailed elastic-plastic finite element analysis, which shows good agreements. Noting that practical wall thinning in nuclear piping has not only a circular shape but also a finite circumferential length, the proposed solution for the ideal geometry is extended based on two-dimensional and three-dimensional numerical analysis of pipes with circular wall thinning.

• 대한기계학회논문집A
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• 제26권4호
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• pp.617-624
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• 2002

An equation of J-integral for a penny-shaped crack at the end of the fiber embedded in rubber matrix is proposed. The values of J-integral for the specimens with various crack and specimen radius are obtained by FEA(Finite Element Analysis). The dimensional analysis is applied to derive an equation of J-integral as a nonlinear elastic energy release rate. The geometry and deformation calibration function in an equation of J can be expressed in a separated form. The geometry calibration function characterizing the effects of cord and specimen size is expressed in a polynomial form of fourth order. The deformation calibration function characterizes the effect of the overall level of strain. As approaching the infinitesimal strain, the value of the deformation calibration function approaches the results of LEFM(Linear Elastic Fracture Mechanics).

• 한국정밀공학회지
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• 제14권12호
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• pp.143-152
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• 1997

The deflection of an end mill is very important in machining process and cutting simulation because it affects directly workpiece accuracy, cutting force, and chattering. In this study, the deflection of the end mill was studied both experimentally and by using finite element analysis. And the moment of inertia of cross sections of the helical end mill is calculated for the determination of the relation between geometry of radial cross section and rigidity of the tools. Using the Bernoulli-Euler beam theory and the concept of equivalent diameter, a deflection model is established, which includes most influences from tool geomety parameters. It was found that helix angle attenuates the rigidity of the end mill by the finite element analysis. As a result, the equivalent diameter is determined by tooth number, inscribed diameter ratio, cross sectional geometry and helix angle. Because the relation betweem equivalent diameter and each factor is nonlinear, neural network is used to decide the equivalent diameter. Input patterns and desired outputs for the neural network are obtained by FEM analysis in several case of end milling operations.