• International Journal of CAD/CAM
• /
• 제9권1호
• /
• pp.61-69
• /
• 2010

Based on the equivalence principles of physical properties, geometric properties and externally applied forces between a surface and the corresponding curves, we present a fast physics and example based skin deformation method for character animation in this paper. The main idea is to represent the skin surface and its deformations with a group of curves whose computation incurs much less computing overheads than the direct surface-based approach. The geometric and physical properties together with externally applied forces of the curves are determined from those of the surface defined by these curves according to the equivalence principles between the surface and the curves. This ensures the curve-based approach is equivalent to the original problem. A fourth order ordinary differential equation is introduced to describe the deformations of the curves between two example skin shapes which relates geometric and physical properties and externally applied forces to shape changes of the curves. The skin deformation is determined from these deformed curves. Several examples are given in this paper to demonstrate the application of the method.

• 한국자동차공학회논문집
• /
• 제1권1호
• /
• pp.66-79
• /
• 1993

To construct the design back data for a lean-burn gas engine, we have designed a constant volume combustion chamber with sub-chamber. With constant volume ratio of main-sub combustion chamber and constant equivalence ratio of methane-air mixture, the influence of geometric configurations(diameter, injection angle, number, length) of passagehole upon combustion characteristics were studied. It was found that combustion characteristics in the main combustion chamber were greatly influenced by the injection angle and length of passagehole.

• 한국학교수학회논문집
• /
• 제24권2호
• /
• pp.173-190
• /
• 2021

본 연구는 Newton의 의 핵심으로 일컬어지는 역제곱 법칙의 증명을 기하학적 극한과 관련하여 분석하고, 이를 수학교육에 활용하는 방안과 관련한 교육적 시사점을 제공하고자 하였다. Newton은 무한소에 대한 논쟁을 의식하여 전통적인 Euclid의 기하 방식으로 역학 문제를 해결하였다. Newton은 힘, 시간, 관성 궤도 이탈 정도 등을 기하 선분으로 표현함으로써 역학을 기하의 차원에 포함시키는 결과를 이뤄냈다. Newton은 특히 포물선 근사, 다각형 근사, 선분의 비의 극한이라는 기하학적 극한을 도입함으로써 Euclid 기하를 역학을 아우르는 새로운 차원으로 발전시킬 수 있었다. 이러한 분석을 바탕으로 Newton의 기하학적 극한을 수학의 유용성을 보여주는 도구로 활용, 곡선면적은 정적분이라는 통념을 깨는 수단으로 활용할 것을 제안하였다. 더불어 학교수학에서 기하학적 극한의 바람직한 활용을 돕기 위해서는 미시 세계에서의 동등성 확대 강조, 발견술로서 활용하게끔 유도하는 질문 활용, 미시 세계에서 선분의 동등성 파악에는 비의 접근이 유용하다는 인식을 돕는 과정이 필요할 것이라는 교육적 시사점을 제안하였다.

• Communications for Statistical Applications and Methods
• /
• 제13권3호
• /
• pp.777-786
• /
• 2006

Two factorial designs with quantitative factors are called geometrically equivalent if the design matrix of one can be transformed into the design matrix of the other by row and column permutations, and reversal of symbol order in one or more columns. Clark and Dean (2001) gave a sufficient and necessary condition (which we call the 'gCD condition') for two symmetric factorial designs with quantitative factors to be geometrically equivalent. This condition is based on the absolute value of the Euclidean(or Hamming) distance between pairs of design points. In this paper we extend the gCD condition to asymmetric designs. In addition, a modified algorithm is applied for checking the equivalence of two designs.

• International Journal of Control, Automation, and Systems
• /
• 제4권6호
• /
• pp.769-774
• /
• 2006

In this paper, we discuss the problem of non-mutual detectability using the invariant zero. We propose a representation method for excess spaces by linear equation based on the Rosenbrock system matrix. As an alternative to the system enlargement method proposed by White[1], we propose an appropriate form of an enlarged system to make a set of faults mutually detectable by assigning sufficient geometric multiplicity of invariant zeros. We show the equivalence between the two methods and a necessary condition for the system enlargement in terms of the geometric and algebraic multiplicities of invariant zeros.

• 대한기계학회논문집
• /
• 제11권5호
• /
• pp.846-855
• /
• 1987

본 연구에서는 실용적 설계및 이론해석에 필요한 동적 거동에 관한 현상규명 및 기초자료를 제공하기위해, 기하학적 형상변화에 따른 맥동연소의 안정성 및 흡입공 기량의 측정을 통한당량비의 범위를 관찰하고, 연소실과 배기관, 공기유입관, 연료노 즐실에서의 압력을 각각 동시측정해서 동적거동에 관해 고찰하고, 작동주파수에 관한 간단한 실험식의 확립과 추력성능에 관한 실험을 행했다.

• 한국연소학회:학술대회논문집
• /
• 한국연소학회 2012년도 제44회 KOSCO SYMPOSIUM 초록집
• /
• pp.199-200
• /
• 2012

An experimental study on geometric optimization was conducted to develop a hybrid/dual swirl jet combustor for a micro-gas turbine. A hybrid concept indicating a combination of swirling jet partially premixed and premixed flames were adopted to achieve high flame stability as well as clean combustion. Location of pilot nozzle, angle and direction of swirl vane were varied as main parameters with a constant fuel flow rate for each nozzle. The results showed that the variation in location of pilot nozzle resulted in significant change in swirl intensity due to the change in flow area near burner exit, and thus, optimized nozzle location was determined on the basis of CO and NOx emissions under conditions of co-swirl flow and swirl $angle=30^{\circ}$. The increase in swirl angle (from $30^{\circ}$ to $45^{\circ}$) enhanced the emission performances, in particular, with a significant reduction of CO emission near lean-flammability limit. It was observed that the CO emission near lean-flammability limit was further reduced through the counter-swirl flow. However, there was not significant change in the NOx emission in the operating conditions (i.e. equivalence ratio of 0.6~0.7) between the co- and the counter-swirl flow.

• 설비공학논문집
• /
• 제18권8호
• /
• pp.664-671
• /
• 2006

We propose the correlation to predict the spreading thermal resistance on a plate with symmetrical four heat sources. The correlation transforms four heat sources to a single equivalent heat source and then the spreading thermal resistance can be obtained with the existing equation for a single heat source. When the four heat sources are mounted on a square base plate, the correlation is expressed as a function of the heat source size, the length of base plate, the plate thermal conductivity and the distance between heat sources. Compared to the results of three-dimensional numerical analysis, the spreading thermal resistance by the proposed correlation is in good agreement within 10 percent accuracy.

• 대한수학회지
• /
• 제33권3호
• /
• pp.625-639
• /
• 1996

A convex $RP^n$-structure on a smooth anifold M is a representation of M as a quotient of a convex domain $\Omega \subset RP^n$ by a discrete group $\Gamma$ of collineations of $RP^n$ acting properly on $\Omega$. When M is a closed surface of genus g > 1, then the equivalence classes of such structures form a moduli space $B(M)$ homeomorphic to an open cell of dimension 16(g-1) (Goldman [2]). This cell contains the Teichmuller space $T(M)$ of M and it is of interest to know what of the rich geometric structure extends to $B(M)$. In [3], a symplectic structure on $B(M)$ is defined, which extends the symplectic structure on $T(M)$ defined by the Weil-Petersson Kahler form.

• 대한수학회지
• /
• 제32권2호
• /
• pp.351-361
• /
• 1995

Let M be a complete open Riemannian manifold. When the sectional curvature $K_M$ of M is nonpositive, Gromov has defined, in his lectures [3], the ideal boundary of M, and used it to study the geometric structure of M. In a Hadamard manifold, a simply connected manifold with nonpositive sectional curvature, a point at infinity can be defined as an equivalence class of rays. He proved many interesting theorems using this definition of ideal boundary and the so-called Tit's metric on it. He also suggested a counterpart to this for nonnegative curvature case. This idea has been taken up by Kasue to study the structure of complete open manifolds with asympttically nonnegative curvature [14]. Motivated by these works, we will define an idela boundary of a general noncompact manifold M, and study its structure.