• Composites Research
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• 제26권4호
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• pp.235-244
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• 2013

체적 적분방정식법이라는 새로운 수치해석 방법을 이용하여, 다수의 임의로 경사진 등방성 타원형 장섬유를 포함하는 등방성 무한고체가 정적 인장하중을 받을 때 무한고체 내부에 발생하는 응력분포 해석을 수행하였다. 장섬유들과 기지 사이의 경계면은 완전결합이라고 가정하여, 평면 변형률 해석을 수행하였다. 즉, 등방성 기지에 다수의 임의로 경사진 등방성 타원형 장섬유의 중심이 1) 정사각형 배열 형태 또는 2) 정육각형 배열 형태로 포함되어 있는 경우에, 다양한 타원형 장섬유의 체적비와 다양한 경사각에 대하여, 중앙에 위치한 등방성 타원형 장섬유와 등방성 기지의 경계면에서의 인장응력 분포의 변화를 구체적으로 조사하였다. 또한, 체적 적분방정식법을 이용한 해를 해석하고, 유한요소법을 이용한 해와 비교해 봄으로서, 체적 적분방정식법을 이용하여 구한 해의 정확도를 검증하였다.

• 한국자기학회지
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• 제26권3호
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• pp.105-114
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• 2016

삼각 섬유성 연골(TFCC) 손상 환자의 평가를 위하여 fat suppressed 3D fast spoiled gradient recalled T1 기법과 fat suppressed Isotropic 3D fast spin echo T1 기법을 이용하여 영상을 획득하였다. 정량적 평가를 위해 각각의 영상에서 signal to noise ratio 및 contrast to noise ratio 값을 측정하고, Mann-Whitney U 검정으로 두 기법 간의 통계적 유의성을 검증하였다. 또한 정성적 평가를 위해 영상의학의 2명이 각각의 영상을 관찰하여, TFCC의 형태, 영상 내 인공음영, 병변의 묘사 정도의 3가지 항목을 선정한 후 이를 4점 척도(0: 진단 불가, 1: 부족함, 2: 충분함, 3: 좋음)로 평가하였고, Kappa-value 검정을 이용하여 두 관찰자 간의 일치도 검증을 하였다. 영상획득에는 3.0 Tesla MR 장비와 8-channel RF coil을 사용하였다. 정량적 평가 결과, 모든 영상 단면에서 signal to noise ratio 및 contrast to noise ratio 값이 Isotropic 3D fast spin echo T1 기법이 높게 나타났으며, Mann-Whitney U 검정을 이용한 두 영상기법 간의 검증도 통계적으로도 유의하였다(p < 0.05). 정성적 평가 결과, 관찰자 1, 2 모두에서 Isotropic 3D fast spin echo T1 기법의 평가 결과가 더 높게 나타났으며, Kappa-value 검증을 이용한 두 관찰자 간 평가 결과의 일치도 검증도 통계적으로 유의하였다(p < 0.05). 결론적으로 TFCC 손상 환자의 자기공명영상 검사 시 fat suppressed Isotropic 3D fast spin echo T1 기법의 적용은 TFCC 병변의 감별에 보다 유용한 진단적 정보를 제공 할 수 있을 것이라 생각된다.

• 한국정밀공학회지
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• 제20권7호
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• pp.193-200
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• 2003

The energy release rate for an interface crack in pseudo-isotropic dissimilar materials was obtained by the eigenfunction expansion method using the two-term William's type complex stress function. The complex stress function for pseudo-isotropic materials must be different from that for anisotropic materials. The energy release rate for an interface crack in pseudo-isotropic dissimilar materials was analyzed numerically by RWCIM. The results obtained were verified by comparing the other worker's results and discussed.

• 터널과지하공간
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• 제14권5호
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• pp.339-344
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• 2004

침식에 따른 횡방성 암반의 초기응력비 변화를 수치해석적으로 구하여 등방성의 경우 및 이론해와 비교한 결과 횡등방성의 영향은 크지 않아 초기지응력비가 작고 침식심도가 깊을 때만 고려하는 것이 좋을 것으로 판단되었다. 수치해석에 의한 응력과 이론적인 값의 차이는 초기 지응력비가 클수록 또 침식되는 깊이가 증가할수록 증가하였다. 또 침식 후의 초기응력비는 심도가 깊어짐에 따라 초기 응력비로부터 발산하였다. 이를 감안하여 침식에 따른 초기응력비 산정식을 제안하였다.

• Coupled systems mechanics
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• 제6권3호
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• pp.317-333
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• 2017

The present paper is concerned with the investigation of Rayleigh waves in a homogeneous transversely isotropic magnetothermoelastic medium with two temperature, in the presence of Hall current and rotation. The formulation is applied to the thermoelasticity theories developed by Green-Naghdi theories of Type-II and Type-III. Secular equations are derived mathematically at the stress free and thermally insulated boundaries. The values of Determinant of secular equations, phase velocity and Attenuation coefficient with respect to wave number are computed numerically. Cobalt material has been chosen for transversely isotropic medium and magnesium material is chosen for isotropic solid. The effects of rotation, magnetic field and phase velocity on the resulting quantities and on particular case of isotropic solid are depicted graphically. Some special cases are also deduced from the present investigation.

• 대한수학회논문집
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• 제20권1호
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• pp.15-21
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• 2005

Null designs on the poset of dual polar spaces are considered. A poset of dual polar spaces is the set of isotropic subspaces of a finite vector space equipped with a nondegenerate bilinear form, ordered by inclusion. We show that the minimum number of isotropic subspaces to construct a nonzero null t-design is ${\prod}^{t}_{i=0}(1+q^{i})$ for the types $B_N,\;D_N$, whereas for the case of type $C_N$, more isotropic subspaces are needed.

• 대한수학회지
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• 제55권2호
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• pp.415-424
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• 2018

General (${\alpha},\;{\beta}$)-metrics form a rich and important class of Finsler metrics. In this paper, we obtain a differential equation which characterizes a general (${\alpha},\;{\beta}$)-metric with isotropic E-curvature, under a certain condition. We also solve the equation in a particular case.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2005년도 ICCAS
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• pp.2356-2361
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• 2005

In this paper, we present a complete isotropy analysis of a caster wheeled omnidirectional mobile robot(COMR) with nonredundant/redundant actuation. The motivation of this work is that the omnidirectional mobility loses significance in motion control unless the isotropy characteristics is maintained well. First, with the characteristic length introduced, the kinematic model of a COMR is obtained based on the orthogonal decomposition of the wheel velocities. Second, a general form of the isotropy conditions of a COMR is given in terms of physically meaningful vector quantities which describe the wheel configurations. Third, for all possible nonredundant and redundant actuation sets, the algebraic expressions of the isotropy conditions are derived to completely identify the isotropic configurations of a COMR. Fourth, the number of the isotropic configurations and the characteristic length required for the isotropy are discussed.

• Computers and Concrete
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• 제19권5호
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• pp.501-507
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• 2017

The predictive utility of a damage model depends heavily on its particular choice of a damage variable, which serves as a macroscopic approximation in describing the underlying micromechanical processes of microdefects. In the case of spatially perfectly randomly distributed microcracks or microvoids in all directions, isotropic damage model is an appropriate choice, and scalar damage variables were widely used for isotropic or one-dimensional phenomenological damage models. The simplicity of a scalar damage representation is indeed very attractive. However, a scalar damage model is of somewhat limited use in practice. In order to entirely characterize the isotropic damage behaviors of damaged materials in multidimensional space, a system theory of isotropic double scalar damage variables, including the expressions of specific damage energy release rate, the coupled constitutive equations corresponding to damage, the conditions of admissibility for two scalar damage effective tensors within the framework of the thermodynamics of irreversible processes, was provided and analyzed in this study. Compared with the former studies, the theoretical formulations of double scalar damage variables in this study are given in the form of matrix, which has many features such as simpleness, directness, convenience and programmable characteristics. It is worth mentioning that the above-mentioned theoretical formulations are only logically reasonable. Owing to the limitations of time, conditions, funds, etc. they should be subject to multifaceted experiments before their innovative significance can be fully verified. The current level of research can be regarded as an exploratory attempt in this field.

• 융합신호처리학회논문지
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• 제7권4호
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• pp.214-220
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• 2006

This paper presents the systematic isotropy analysis of a fully actuated caster wheeled omnidirectional mobile robot (COMR) with the steering link offset different from the wheel radius, which can be considered as the generalization of the previous analysis. First with the characteristic length introduced, the kinematic model of a COMR is obtained based on the orthogonal decomposition of the wheel velocities. Second, the necessary and sufficient conditions for the isotropy of a COMR are derived and examined to categorize there different groups, each of which can be dealt with in a similar way. Third, for each group, the isotropy conditions are further explored so as to identify four different sets of all possible isotropic configurations. Fourth, for each set the expressions of the isotropic characteristic length required for the isotropy of a COMR are elaborated.