• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2001년도 추계학술대회논문집 II
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• pp.1078-1082
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• 2001

An alternative formulation of the Helmholtz integral equation is derived to express the pressure field explicitly in terms of the velocity vector of a radiating surface. This formulation, derived for arbitrary sources, is similar in form to the Rayleigh's formula for planar sources. Because the pressure field is expressed explicitly as a surface integral of the particle velocity, which can be implemented numerically using standard Gaussian quadratures, there is no need to use Boundary element method to solve a set of simultaneous equations for the surface pressure at the discretized nodes. Furthermore the non-uniqueness problem inherent in methods based on Helmholtz integral equation is avoided. Validation of this formulation is demonstrated for some simple geometries.

• 융복합기술연구소 논문집
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• 제4권1호
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• pp.37-41
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• 2014

For the analysis of lifting surface at high angle of attack, a Nonlinear Vortex Lattice Method(NLVLM) was used. The NLVLM is intented to compute the interactions between lifting surfaces and separated vertical flow. The lifting surfaces are represented by a lattice of discrete vortex rings. And wakes are represented by families of non-lintersecting, semi-infinite vortex line segments. The image method also used to analyze the ground effect. It is found that vortex lines separated from lifting surfaces represent the separated flows successfully. Although the present method is applied for the rectangular wing and delta wing, extensions can be possible for the arbitrary lifting surfaces. The Present results show good agreement with experimental data.

• 대한수학회논문집
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• 제30권4호
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• pp.505-513
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• 2015

The present paper deals with the determination of displacement and thermal stresses in a semi-infinite circular cylinder defined as $0{\leq}r{\leq}b$, $0{\leq}z<{\infty}$, due to internal heat generation within it. A circular cylinder is considered having arbitrary initial temperature and subjected to time dependent heat flux at the fixed circular boundary (r = b) whereas the zero temperature at the lower surface (z = 0) of the semi-infinite circular cylinder. The governing heat conduction equation has been solved by using integral transform method. The results are obtained in series form in terms of Bessel functions. The results for displacement and stresses have been computed numerically and illustrated graphically.

• 대한수학회지
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• 제58권3호
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• pp.723-740
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• 2021

Design and maintenance of large span roof structures require an analysis of their static and dynamic behavior depending on the physical parameters defining the structures. Therefore, it is highly desirable to estimate the parameters from observations of the system. In this paper we study the parameter estimation problem for damped shallow arches. We discuss both symmetric and non-symmetric shapes and loads, and provide theoretical and numerical studies of the model behavior. Our study of the behavior of such structures shows that it is greatly affected by the existence of critical parameters. A small change in such parameters causes a significant change in the model behavior. The presence of the critical parameters makes it challenging to obtain good estimation. We overcome this difficulty by presenting the Parameter Estimation Algorithm that identifies the unknown parameters sequentially. It is shown numerically that the algorithm achieves a successful parameter estimation for models defined by arbitrary parameters, including the critical ones.

• Structural Engineering and Mechanics
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• 제70권3호
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• pp.367-380
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• 2019

The paper concerns topology and geometry optimization of statically determinate beams with arbitrary number of supports. The optimization problem is treated as a bi-criteria one, with the objectives of minimizing the absolute maximum bending moment and the maximum deflection for a uniform gravity load. The problem is formulated and solved using the Pareto optimality concept and the lexicographic ordering of the objectives. The non-dominated sorting genetic algorithm NSGA-II and the local search method are used for the optimization in the Pareto sense, whereas the genetic algorithm and the exhaustive search method for the lexicographic optimization. Trade-offs between objectives are examined and sets of Pareto-optimal solutions are provided for different topologies. Lexicographically optimal beams are found assuming that the maximum moment is a more important criterion. Exact formulas for locations and values of the maximum deflection are given for all lexicographically optimal beams of any topology and any number of supports. Topologies with lexicographically optimal geometries are classified into equivalence classes, and specific features of these classes are discussed. A qualitative principle of the division of topologies equivalent in terms of the maximum moment into topologies better and worse in terms of the maximum deflection is found.

• 식품과학과 산업
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• 제51권3호
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• pp.196-208
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• 2018

This paper described the contents of the WTO (world trade organization) SPS (world trade organization) Agreement and trends in the WTO SPS provisions such as equivalence, localization, transparency, and risk assessment. The purpose of the WTO SPS agreement is to promote international trade by preventing arbitrary and unreasonable use of SPS measures, which are the rights of a country for the protection of human health and animal and plant health, and by abolishing the non-tariff barriers. To this end, the requirements for implementing the SPS measures taken by the importing country are restricted to those that can scientifically prove to be inevitable for SPS protection. The major provisions in WTO SPS agreement were elaborated to promote international trades. When trade-restricted SPS measures such as prohibition of imports are made, a scientific basis should be provided. Therefore, it is essential to provide scientific evidence based on risk analysis to protect people's health from potentially harmful imported foods.

• 대한수학회보
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• 제59권6호
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• pp.1439-1470
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• 2022

In this paper, we study the uniform attractor of the 2D nonautonomous tropical climate model in an arbitrary unbounded domain on which the Poincaré inequality holds. We prove that the uniform attractor is compact not only in the L²-spaces but also in the H¹-spaces. Our proof is based on the concept of asymptotical compactness. Finally, for the quasiperiodical external force case, the dimension estimates of such a uniform attractor are also obtained.

• 천문학회보
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• 제45권1호
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• pp.55.1-55.1
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• 2020

In an attempt to investigate the nonlinear dynamics such as shock, shear, and turbulence associated with ultra-relativistic jets, we develop a new relativistic hydrodynamics (RHD) code based on the weighted essentially non-oscillatory (WENO) scheme. It is a 5th-order accurate, finite-difference scheme, which has been widely used for solving hyperbolic systems of conservation equations. The code is parallelized with MPI and OpenMP. Through an extensive set of tests, the accuracy and efficiency of different WENO reconstructions, and different time discretizations are assessed. Different implementations of the equation of state (EOS) for relativistic fluid are incorporated, As the fiducial setup for simulations of ultra-relativistic jets, we adopt the EOS in Ryu et al. (2006) to treat arbitrary adiabatic index of relativistic fluid, the WENO-Z reconstructions to minimize numerical dissipation without loss of stability, and the strong stability preserving Runge-Kutta (SSPRK) method to achieve stable time stepping with large CFL numbers. In addition, the code includes a high-order flux averaging along the transverse directions for multi-dimensional problems, and the modified eigenvalues for the acoustic modes to effectively control the carbuncle instability. We find that the new code performs satisfactorily simulations of ultra-relativistic jets.

• 대한수학회논문집
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• 제38권4호
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• pp.1101-1110
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• 2023

At the present paper, we investigate bounded approximately local derivations of ℓ¹-Munn algebra 𝕄_I(𝒜), where I is an arbitrary non-empty set and 𝒜 is an approximately locally unital Banach algebra. Indeed, we show that if _𝒜B(𝒜, 𝒜^*) and B_𝒜(𝒜, 𝒜^*) are reflexive, then every bounded approximately local derivation from 𝕄_I(𝒜) into any Banach 𝕄_I(𝒜)-bimodule X is a derivation. Finally, we apply this result to study bounded approximately local derivations of the semigroup algebra ℓ¹(S), where S is a uniformly locally finite inverse semigroup.

• 대한토목학회논문집
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• 제33권5호
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• pp.1777-1783
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• 2013

유량측정방법 중에서 파샬플륨을 이용하는 방법은 유속이 매우 느리거나 토사유입이 많은 지점에서 상대적으로 유리하다. 국제표준화기구(ISO : International Organization for Standardization)에 파샬플륨의 규모별 규격화된 경험식이 제시되어 있지만, 규격을 따르지 않는 파샬플륨에 대한 수리실험이나 수치모의를 통한 연구는 다소 부족한 실정이다. 따라서 본 연구에서는 ISO 규격 파샬플륨에 대하여 경험식과 수치모의를 비교하여 파샬플륨에 대한 수치모의의 적정성을 검토하였고 현장 여건 등의 이유로 ISO 규격을 따르지 않는 파샬플륨은 유량산정공식을 얻기 위해서 수리실험을 수행해야만 했다. 이러한 임의형상의 파샬플륨에 대하여 동일 조건의 수리실험 및 수치모의 결과를 비교 검토하였다. 그 결과 수치모의가 파샬플륨의 수심과 유량을 적절하게 모의하고 있음을 확인하였다. 이 결과를 이용하여 임의형상에 대한 무차원 유량산정공식을 도출하였으며, 식을 통해 산정된 값과 실험값을 비교하였다. 그 결과 오차는 최대 2.3%로 나타났다. 파샬플륨의 규모결정시 실제 지형과 유입부 형상 등을 고려한 수치모의를 수행한다면 수치모의에 기초한 유량산정공식을 쉽게 도출 할 수 있을 것이다. 또한, 복잡한 수행과정으로 인해 오차가 발생하기 쉬운 수리모형실험을 경제적으로 보완할 수 있을 것으로 판단된다.