• 호남수학학술지
• /
• 제35권2호
• /
• pp.147-161
• /
• 2013

In this paper we determine certain class of $n$-dimensional QR-submanifolds of maximal QR-dimension isometrically immersed in a quaternionic space form, that is, a quaternionic K$\ddot{a}$hler manifold of constant Q-sectional curvature under the conditions (3.1) concerning with the second fundamental form and the induced almost contact 3-structure.

• 한국소음진동공학회논문집
• /
• 제17권9호
• /
• pp.819-825
• /
• 2007

Vibration characteristics of an duel-cooling cylindrical fuel rod, which was proposed as a candidate design of fuel's cross section for the ultra-high burnup nuclear fuel, according to the cross-sectional dimensions and the number of supports or the span length were analytically studied. Finite element(FE) modeling for the annular cross sectional fuel was based on the methodology, that have been proven by the test verification, for the conventional PWR nuclear fuel rod. A commercial FEA code, ABAQUS, was used for the FE modeling and analysis. A planar beam element (B21) that uses a linear interpolation was used for the fuel rod and a linear spring element for the spring and dimple of the SG. Natural frequencies and mode shape were calculated according to the preliminary design candidates for the fuel's cross sectional dimension and the number of span. From the analysis results, the design scheme of the annular fuel compatible to the present PWR nuclear reactor core was discussed in terms of the number of supports and fuel's cross section.

• Journal of the Korean Wood Science and Technology
• /
• 제28권2호
• /
• pp.19-24
• /
• 2000

본 논문에서는 목재시편의 횡단연적과 수분경사가 라디에타파인 심재와 번재의 초음파 전달속도에 미치는 효과를 조사하였다. 각 수분경사 모델시편은 함수율이 다른 다섯 개의 소편을 배합하여 만들었다. 횡단면적이 작아질수록 초음파 전달속도는 심재와 변재 모두 4~8% 감소하였다. 수분경사 모델시편을 투과한 초음파 신호를 분석한 결과, 횡단면적이 클수록 저주파 신호가 고주파 신호보다 분명한 주류률 이루었다. 평균 함수율이 같더라도 수분경사가 다르면 시편의 초음파 전달속도는 다르게 나타났다. 초음파 전달속도와 수분경사 모델시편의 내층 평균 함수율의 분포는 함수율에 따라 세 가지 서로 다른 형태를 나타냄이 밝혀졌다.

• 대한수학회보
• /
• 제42권4호
• /
• pp.777-787
• /
• 2005

In this paper we study (n + 1)-dimensional compact contact CR-submanifolds of (n - 1) contact CR-dimension immersed in an odd-dimensional unit sphere $S^{2m+1}$. Especially we provide necessary conditions in order for such a sub manifold to be the generalized Clifford surface $$S^{2n_1+1}(((2n_1+1)/(n+1))^{\frac{1}{2}})\;{\times}\;S^{2n_2+1}(((2n_2+1)/(n+1)^{\frac{1}{2}})$$ for some portion (n1, n2) of (n - 1)/2 in terms with sectional curvature.

• 대한수학회지
• /
• 제31권3호
• /
• pp.339-352
• /
• 1994

A sumbanifold M of a quaternionic Kaehlerian manifold $\tilde{M}^m$ of real dimension 4m is called a generic submanifold if the normal space N(M) of M is always mapped into the tangent space T(M) under the action of the quaternionic Kaehlerian structure tensors of the ambient manifold at the same time.The purpose of the present paper is to study generic submanifold of quaternionic Kaehlerian manifold of constant Q-sectional curvature with nonvanishing parallel mean curvature vector. In section 1, we state general formulas on generic submanifolds of a quaternionic Kaehlerian manifold of constant Q-sectional curvature. Section 2 is devoted to the study generic submanifolds with nonvanishing parallel mean curvature vector and compute the restricted Laplacian for the second fundamental form in the direction of the mean curvature vector. As applications of those results, in section 3, we prove our main theorems. In this paper, the dimension of a manifold will always indicate its real dimension.

• 대한수학회논문집
• /
• 제24권1호
• /
• pp.111-125
• /
• 2009

The purpose of this paper is to study n-dimensional QR-submanifolds of (p-1) QR-dimension immersed in a quaternionic projective space $QP^{(n+p)/4}$ of constant Q-sectional curvature 4 and especially to determine such submanifolds under the additional condition concerning with shape operator.

• 대한기계학회:학술대회논문집
• /
• 대한기계학회 2000년도 춘계학술대회논문집B
• /
• pp.416-421
• /
• 2000

We have developed a simple model for describing the non-spherical particle growth phenomena using modified 1-dimensional sectional method. In this model, we solve simultaneously particle volume and surface area conservation sectional equations which consider particles' irregularities. From the correlation between two conserved properties of sections, we can predict the evolution of the aggregates' morphology. We compared this model with a simple monodisperse-assumed model and more rigorous two dimensional sectional model. For the comparison, we simulated silica and titania particle formation and growth in a constant temperature reactor environment. This new model shows a good agreement with the detailed two dimensional sectional model in total number concentration, primary particle size. The present model can also successfully predict particle size distribution and morphology without costing very heavy computation load and memory needed for the analysis of two dimensional aerosol dynamics.

• 한국철도학회논문집
• /
• 제17권4호
• /
• pp.223-227
• /
• 2014

제동 패드는 철도차량의 기초제동요소 중 하나이다. 제동 패드는 제동 캘리퍼로부터 압부력을 전달받아 제동디스크와의 마찰력으로 철도차량에 제동작용을 한다. 따라서 제동 패드는 주어진 고압의 압부력을 견뎌야 하므로 제동 패드의 주요 성능평가항목으로 압축강도를 관리한다. 압축강도를 측정하는 규격은 KRS, KRCS, KRT 등이 있다. 이들 규격은 압축강도를 측정하기 위한 시험편의 크기를 $20mm{\times}10mm{\times}15mm$ (가로${\times}$세로${\times}$높이)로 규정하고 있다. 압축강도에 대한 불확도를 줄이기 위하여 불확도 요인을 분석한 결과, 단면의 치수를 변경함으로써 불확도를 줄일 수 있음을 알았다. 새로운 단면치수에 의한 불확도를 평가하여 불확도 감소에 대한 유효성을 입증하였다.

• 대한기계학회논문집B
• /
• 제24권7호
• /
• pp.1020-1027
• /
• 2000

A simple model for describing the non-spherical particle growth phenomena has been developed. In this model, we solve simultaneously particle volume and surface area conservation sectional equations that consider particles' non-sphericity. From the correlation between two conserved properties of sections, we can predict the evolution of the aggregates' morphology. This model was compared with a simple monodisperse-assumed model and more rigorous two-dimensional sectional model. For comparison, formation and growth of silica particles have been simulated in a constant temperature reactor environment. This new model showed good agreement with the detailed two-dimensional sectional model in total number concentration and primary particle size. The present model successfully predicted particle size distribution and morphology without costing very heavy computation load and memory needed for the analysis of two dimensional aerosol dynamics.

• 대한조선학회지
• /
• 제25권2호
• /
• pp.19-30
• /
• 1988

Sectional added masses of an elastic beam vibrating vertically on the free surface in higher harmonic modes are evaluated. Hydrodynamic interactions between neighboring sections, which strip theory ignores, are considered for modal wave lengths of the order of magnitude of cross-sectional dimensions of the body. An approximate solution of modified Helmholtz equation which becomes a singular perturbation problem at small wave lengths is secured to get an analytic expression for added masses attending higher harmonic modes. As a bound of the present theory, the modified Helmholtz equation is solved for the long flat plate vibrating at high frequency on the water surface without any limitations on modal frequency. Finally, extensive series of numerical calculations are carried out for ship-like forms. It is found that when modal wave length is comparable to or shorter than a typical cross-sectional dimension of a body, sectional interaction effects are large which result in considerable reductions in added masses. For a fuller section, the ratio of added mass reduction is greater. In the limit of vanishing sectional area, the added masses approach to that of flat plate of equal beam. It is shown that the added mass distribution for a Legendre modal from can be determined form the present theory and that the results agree with the extensive three-dimensional determination of Vorus and Hilarides.