• 충청수학회지
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• 제26권4호
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• pp.743-748
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• 2013

The purpose of this note is to introduce interesting and useful properties differential-basis and p-basis in theorem 3.3. The result gives a existence differential basis of $S^P$ [$[{\Lambda}_1]$](S) which has a p-basis over $S^p$ ($S^p[{\Lambda}_1]$).

• 한국자동차공학회논문집
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• 제6권6호
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• pp.31-39
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• 1998

The role of bushing elements linked between suspension parts is to enhance ride quality and handling stability by the spring and damping effect from the elastic deformation. In this paper, a theoretical derivation and computer implementation off a bushing element are proposed. Three different vehicle models are generated to test the developed bushing module. The developed bushing module is implemented as a bushing module in the vehicle dynamic analysis program AUTODYN7.

• 대한수학회지
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• 제48권4호
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• pp.823-835
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• 2011

We investigate the continuity of (${\alpha},{\beta}$)-derivations on B(X) or $C^*$-algebras. We give some sufficient conditions on which (${\alpha},{\beta}$)-derivations on B(X) are continuous and show that each (${\alpha},{\beta}$)-derivation from a unital $C^*$-algebra into its a Banach module is continuous when and ${\alpha}$ ${\beta}$ are continuous at zero. As an application, we also study the ultraweak continuity of (${\alpha},{\beta}$)-derivations on von Neumann algebras.

• International Journal of Aeronautical and Space Sciences
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• 제2권1호
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• pp.28-43
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• 2001

Developed in these two series of paper is a complex dynamic model representing the motion of aircraft on the ground and a computer program for numerical simulation. The first part of paper presents the theoretical derivation of equations of motion of the landing gear system based on the physical principle. Developed model is 'structured' in the sense that the undercarriage system is regarded as an assembly of strut, tire, and wheel, where each component is modeled by a separate module. These modules are linked with two external modules-the aircraft and the runway characteristics-to carry out dynamic analysis and numerical simulation of the aircraft motion on the ground. Three sets of coordinate system associated with strut, wheel/tire and runway are defined, and external loads to each component and response characteristics are examined. Lagrangian formulation is used to derive the undercarriage equations of motion relative to the moving aircraft, and the resultant forces and moments from the undercarriage are transformed to aircraft body axes.

• Kyungpook Mathematical Journal
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• 제53권2호
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• pp.233-245
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• 2013

Let $\mathcal{A}$ be a Banach ternary algebra over a scalar field R or C and $\mathcal{X}$ be a ternary Banach $\mathcal{A}$-module. A quartic mapping $D\;:\;(\mathcal{A},[\;]_{\mathcal{A}}){\rightarrow}(\mathcal{X},[\;]_{\mathcal{X}})$ is called a $4^{th}$- order ternary derivation if $D([x,y,z])=[D(x),y^4,z^4]+[x^4,D(y),z^4]+[x^4,y^4,D(z)]$ for all $x,y,z{\in}\mathcal{A}$. In this paper, we prove Ulam stability generalizations of $4^{th}$- order ternary derivations associated to the following JMRassias quartic functional equation on fr$\acute{e}$che algebras: $$f(kx+y)+f(kx-y)=k^2[f(x+y)+f(x-y)]+2k^2(k^2-1)f(x)-2(k^2-1)f(y)$$.

• 호남수학학술지
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• 제31권1호
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• pp.25-29
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• 2009

In this paper, we classify essential arrangements $\mathcal{A}$ of hyperplanes in $\mathbb{R}^3$ with ${\mid}\mathcal{A}{\mid}$ = 5 and give a full description of each case in terms of freeness.

• 충청수학회지
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• 제3권1호
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• pp.41-48
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• 1990

Let D' : $C^n$[0, 1] ${\rightarrow}$ M be a second order derivation from the Banach algebra of n times continuously differentiable functions on [0, 1] into a Banach $C^n$[0, 1]-module M and let D be the primitive of D'. If D' is continuous and D'(z) lies in the 1-differential subspace, then it is completely determined by D(z) and D'(z) where z(t)=t, $0{\leq}t{\leq}1$.

• 한국수자원학회논문집
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• 제51권6호
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• pp.491-501
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• 2018

본 연구는 도시 유역의 물 순환을 개선시키기 위해 최근 활발하게 적용되고 있는 저영향개발(low impact development, LID) 시설의 설계 및 계획 매개변수를 선정하기 위한 방법을 제시하였다. 이때 Storm Water Management Model (SWMM) 모형의 LID 시설 모의 기능을 활용하여 다양한 매개변수에 대해 민감도 분석 및 다양한 시나리오를 자동으로 수행하여 비교할 수 있도록 개발된 Water Management Analysis Module (WMAM)을 이용하였다. 본 연구는 최근 도시화가 진행되고 있는 서울의 한 유역에 적용하였다. 적용 결과 LID 중 하나인 투수성포장 시설이 없는 경우와 임의로 결정된 설계 및 계획 시나리오 보다 본 방법을 통해 도출된 시나리오가 총유출량 및 첨두유량 감소와 침투량 증가에 더 좋은 효과를 보였다. 향후 경제성을 고려한 방법을 개발한다면 실무에서도 활용될 수 있을 것으로 예상된다.

• 한국정보통신학회논문지
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• 제17권4호
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• pp.863-868
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• 2013

본 논문에서는 최근의 디지털논리시스템의 함수구성시에 도입되고 있는 그래프이론에 바탕을 둔 새로운 형태의 데이터구조 형태인 모서리값 확장 그래프를 추출하는 알고리즘을 제안하였다. 이를 위해 수학적 배경으로는 리터럴 함수와 리드 뮬러 확장에 대해 논의하였으며, 본 논문의 근간인 모서리 확장 그래프의 도출에 대해 논의하였다. 또한, 모서리 확장 그래프로부터 임의의 m치 n변수의 축약된 함수구성을 도출하는 알고리즘을 제안하였으며 이를 예에 적용하여 그 타당성을 보였다. 제안된 알고리즘의 규칙성을 고려하여 동일부분을 모듈화함으로써 일반성을 가짐을 보였다.

• Structural Engineering and Mechanics
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• 제52권2호
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• pp.323-349
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• 2014

In this paper, linear buckling analysis of a curved sandwich beam with a flexible core is investigated. Derivation of equations for face sheets is accomplished via the classical theory of curved beam, whereas for the flexible core, the elasticity equations in polar coordinates are implemented. Employing the von-Karman type geometrical non-linearity in strain-displacement relations, nonlinear governing equations are resulted. Linear pre-buckling analysis is performed neglecting the rotation effects in pre-buckling state. Stability equations are concluded based on the adjacent equilibrium criterion. Considering the movable simply supported type of boundary conditions, suitable trigonometric solutions are adopted which satisfy the assumed edge conditions. The critical uniform load of the beam is obtained as a closed-form expression. Numerical results cover the effects of various parameters on the critical buckling load of the curved beam. It is shown that, face thickness, core thickness, core module, fiber angle of faces, stacking sequence of faces and openin angle of the beam all affect greatly on the buckling pressure of the beam and its buckled shape.