• 대한기계학회논문집A
• /
• 제33권12호
• /
• pp.1357-1365
• /
• 2009

In this study, we enhance the numerical approach of Lee et al.$^{(1)}$ to spherical indentation technique for property evaluation of hyper-elastic rubber. We first determine the friction coefficient between rubber and indenter in a practical viewpoint. We perform finite element numerical simulations for deeper indentation depth. An optimal data acquisition spot is selected, which features sufficiently large strain energy density and negligible frictional effect. We then improve two normalized functions mapping an indentation load vs. deflection curve into a strain energy density vs. first invariant curve, the latter of which in turn gives the Yeoh-model constants. The enhanced spherical indentation approach produces the rubber material properties with an average error of less than 3%.

• 대한수학회보
• /
• 제60권6호
• /
• pp.1607-1620
• /
• 2023

In this paper, we mainly study the problem of the existence of homogeneous geodesics in sub-Finsler manifolds. Firstly, we obtain a characterization of a homogeneous curve to be a geodesic. Then we show that every compact connected homogeneous sub-Finsler manifold and Carnot group admits at least one homogeneous geodesic through each point. Finally, we study a special class of ℓ^p-type bi-invariant metrics on compact semi-simple Lie groups. We show that every homogeneous curve in such a metric space is a geodesic. Moreover, we prove that the Alexandrov curvature of the metric space is neither non-positive nor non-negative.

• 대한수학회논문집
• /
• 제39권3호
• /
• pp.757-774
• /
• 2024

In three dimensional Euclidean space we consider kinematical invariants of the surface which is generated by the motion of a planar curve, especially, the surface which is foliated by circles. At first we characterize the properties of single parameter plane with the theories of unit spherical curve in three dimensional Euclidean space. Then using these results we give the invariants and differential invariants, kinematical properties and some special examples of the surface foliated by circles. The methods established here can be used to the other kinds of the surface in three dimensional Euclidean space.

• 충청수학회지
• /
• 제36권4호
• /
• pp.231-244
• /
• 2023

We study the modularity and holomorphic anomaly equation for Hodge-Gromov-Witten invariants of elliptic curves.

• 대한수학회지
• /
• 제61권4호
• /
• pp.743-760
• /
• 2024

In this paper, we are devoted to study a forth order curve flow for a smooth closed curve in centro-affine geometry. Firstly, a new evolutionary equation about this curve flow is proposed. Then the related geometric quantities and some meaningful conclusions are obtained through the equation. Next, we obtain finite order differential inequalities for energy by applying interpolation inequalities, Cauchy-Schwartz inequalities, etc. After using a completely new symbolic expression, the n-order differential inequality for energy is considered. Finally, by the means of energy estimation, we prove that the forth order curve flow has a smooth solution all the time for any closed smooth initial curve.

• 한국멀티미디어학회논문지
• /
• 제5권2호
• /
• pp.158-166
• /
• 2002

본 논문에서는 윤곽선 세그먼트의 양 끝점을 잇는 직선과 곡선의 길이의 비율로 윤곽선 변동율을 정의하고, 이로부터 윤곽선의 형태를 기술하는 방법을 제안하였다. 윤곽선 변동율은 윤곽선 세그먼트로부터 계산되기 때문에 회전이나 크기 변형에 불변하는 윤곽선 세그먼트를 추출해야 한다. 이를 위하여 전체 윤곽선의 길이에 비례하는 상대적인 길이로 윤곽선을 분할하고 윤곽선 상의 모든 점을 분할점으로 하는 중첩된 윤곽선 세그먼트를 이용하였다. 윤곽선 변동율은 윤곽선 세그먼트의 단위 길이에 따라 국소적 또는 전역적인 특징을 나타내므로, 윤곽선 변동율의 분포를 나타내는 특징 벡터로 물체의 형태를 기술하고, 단위 길이별로 특징 벡터를 비교하여 윤곽선 형태의 유사도를 계산한다. 제안된 방법을 구현하여 15종의 물고기 영상에 대하여 회전 및 크기 변형을 가한 총 165개의 영상에 대하여 실험한 결과, 회전 및 크기 변형에 대한 불변성은 물론 정규화된 체인코드 히스토그램(NCCH)과 링 프로젝션(TRP)을 이용한 방법에 비하여 군집화 능력이 우수함을 확인할 수 있었다.

• 한국정밀공학회지
• /
• 제19권9호
• /
• pp.98-105
• /
• 2002

Some materials exhibit a rising K-R curve, while the K-R curve for other materials is flat. The shape of the K-R curve depends on material behavior and, to a lesser extent, on the configuration of the cracked structure. The K-R curve for an ideally brittle material is flat because the surface energy is an invariant material property. However, the K-R curve can take on a variety of shapes when nonlinear material behavior accompanies fracture. Five different hot-rolled thin plates are tested to investigate K-R curve behavior. A special experimental apparatus is used to prevent specimens from buckling.

• 한국멀티미디어학회논문지
• /
• 제25권8호
• /
• pp.991-998
• /
• 2022

Recently, object recognition using image/video signals is rapidly spreading on autonomous driving and mobile phones. However, the actual input image/video signals are easily exposed to a poor illuminance environment. A recent researches for improving illumination enable to estimate and compensate the illumination parameters. In this study, we propose VE-DCE (video enhancement zero-reference deep curve estimation) to improve the illumination of low-light images. The proposed VE-DCE uses unsupervised learning-based zero-reference deep curve, which is one of the latest among learning based estimation techniques. Experimental results show that the proposed method can achieve the quality of low-light video as well as images compared to the previous method. In addition, it can reduce the computational complexity with respect to the existing method.

• 자원환경지질
• /
• 제5권2호
• /
• pp.77-86
• /
• 1972

Bowen의 "Petrogeny's Residua System"으로 알려져 있는 NaAlSiO_4-KAlSiO_4-SiO_2-H_2O계(系)는 대륙지각(大陸地殼)에 있어 화성암(火成岩)과 변성암(變成岩) 간(間)의 상(相)의 관계(關係)를 이해(理解)하는데 대단히 중요(重要)한 것이다. 그럼에도 불구하고 이 계내(系內)의 상(相)의 관계(關係)는 아직 Mohorovicic 불연속면(不連續面) 이상(以上)의 위치(位置)의 P-T 범위(範圍)의 것 조차 완전(完全)히 알려져 있지 않다. 그러므로 이 상(相)들 간(間)의 관계(關係)를 알 필요(必要)가 있다. 본(本) 연구(硏究)는 Schreinemaker 법칙(法則)을 적용한 계내(系內)에 있는 불변점(不變點)(~5kb/${\sim}635^{\circ}C$) 부근(附近)에 있는 순서를 추이(推理)하였는데 이는 주(主)로 Morse (1969a&6) 실험자료에 근거하였다. 결론(結論)으로 불변점(不變點)(~5kb/${\sim}635^{\circ}C$) 부근(附近)에서의 P-T 곡선(曲線)의 순서(順序)는 각각(各各) P-T 투영(投影)에서는 (L), (Anl), (Or), (V), (Ne), 및 (Ab)의 순(順)이고 P-T 곡선(曲線) (L)은 P-T 구역(區域) 하부(下部)로 연장되며 (Anl) 곡선(曲線)은 불변점(不變點)보다 높은 온도(溫度)와 낮은 압력(壓力)의 구역(區域)으로 연장(延長)된다는 것을 알았다.

• 대한수학회지
• /
• 제58권6호
• /
• pp.1407-1419
• /
• 2021

The Iwasawa decomposition NAK of the Lie group G = SO₀(2, 1) with a left invariant metric produces Riemannian submersions G → N\G, G → A\G, G → K\G, and G → NA\G. For each of these, we calculate the curvature of the base space and the lifting of a simple closed curve to the total space G. Especially in the first case, the base space has a constant curvature 0; the holonomy displacement along a (null-homotopic) simple closed curve in the base space is determined only by the Euclidean area of the region surrounded by the curve.