• Journal of applied mathematics & informatics
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• 제40권3_4호
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• pp.587-601
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• 2022

We find the characterizations of the curvatures of Legendre curves and magnetic curves in Kenmotsu manifolds with C-parallel and C-proper mean curvature vector fields in the tangent and normal bundles. Finally, an illustrative example is presented.

• 전자공학회논문지S
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• 제35S권1호
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• pp.23-28
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• 1998

A linearly-chirped fiber grating for the dispersion compensation over 520km of 1.3.mu.m single mode fiber is designed. The compensation characteristics of the gratings apodized each with Gaussian and hyperbolic tangent function are studied. the ripples in reflection and delay curves are coniderably reduced for both cases, but the reflection bandwidth for the hyperbolic tangent apodization is much less shrinked than that of the Gaussian apodization.

• Korean Journal of Mathematics
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• 제32권2호
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• pp.259-284
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• 2024

In present study, we introduce ruled surfaces whose base curve is the Salkowski curve in Euclidean 3-space and whose generating lines consist of the Frenet vectors of this curve (tangent, principal normal and binormal vectors). Then, we produce regular surfaces from a vector with real coefficients, which is a linear combination of these vectors, and we examine some special cases for these surfaces. Moreover, we present some geometric properties and graphics of all these surfaces.

• 한국안전학회지
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• 제16권4호
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• pp.29-38
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• 2001

The purpose of this paper is to evaluate the structural integrity of a reactor pressure vessel subjected to the pressurized thermal shock(PTS) during the transient events, such as main steam line break(MSLB) and small break loss of coolant accident(SBLOCA). For postulated surface or subsurface cracks, variation curves of stress intensity factor are obtained by using the three different methods, including ASME section XI code anlysis, the finite element alternating method and the finite element method. From the stress intensity factor curves, the maximum allowable nil-ductility transition temperatures(RT/NDT/) are determined by the tangent criterion and the maximum criterion for various crack configurations and two initial transient events. As a result of the analysis, it is noted that axial cracks have smaller maximum allowable RT$_{NDT}$ values than same-sized circumferential cracks for both the transient events in the case of the tangent criterion. Axial cracks have smaller RT$_{NDT}$ values than same-sized circumferential cracks for MSLB and circumferential cracks have smaller values than axial cracks for SBLOCA in the case of the maximum criterion.

• 대한교통학회지
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• 제22권7호
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• pp.139-146
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• 2004

도로 설계는 운전자의 기대와 일치되는 방향으로 수행되는 것이 바람직하다. 긴 직선과 곡선반경이 작은 곡선의 연결을 피하는 것이 도로 설계 일관성 관점에서 본 일반화된 설계 원칙이다. 연속된 도로 선형의 일관성을 평가하기 위한 방법으로 주행속도 프로파일 모형이 활용되고 있으며, 이 모형에는 긴 직선-곡선 연결선형에서 운전자의 주행행태 변화에 대한 가설이 포함되어 있다. 본 연구는 기존 주행속도 프로파일 모형에 내재된 운전자 주행행태에 대한 가설과 실제 긴 직선-곡선 연결선형에서 조사된 운전자의 주행행태 결과를 비교하였으며, 신뢰성 있는 주행속도 프로파일 모형의 구축을 위해 요구되는 운전자의 곡선부 진입 및 진출 시 가속도의 변화를 외국의 연구에서 제시한 값과 비교하는 방식으로 분석하였다. 분석결과, 모형에 내재된 긴 직선-곡선 연결선형에서 운전자의 주행행태가 실제 조사된 운전자의 주행행태 변화를 잘 설명해주고 있었다. 곡선 진입시 감속도는 $0.39{\sim}1.06m/s^2$으로 분포하였으며, 평균은 $0.66m/s^2$으로 나타났다. 곡선 진출부 가속도는 평균 $0.22m/s^2$으로 나타났다.

• International Journal of CAD/CAM
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• 제6권1호
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• pp.65-71
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• 2006

Based on the smoothness criterion of minimum curvature variation of the curve, tangent angle constraints guaranteeing an optimized geometric Hermite (OGH) curve both mathematically and geometrically smooth is given, and new methods for constructing composite optimized geometric Hermite (COH) curves are presented in this paper. The comparison of the new methods with Yong and Cheng's methods based on strain energy minimization is included.

• 대한수학회논문집
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• 제38권4호
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• pp.1261-1269
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• 2023

For a fixed parametrization of a curve in an orientable two-dimensional Riemannian manifold, we introduce and investigate a new frame and curvature function. Due to the way of defining this new frame as being the time-dependent rotation in the tangent plane of the standard Frenet frame, both these new tools are called flow.

• 호남수학학술지
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• 제36권1호
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• pp.67-83
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• 2014

The notion of rectifying curve in the Euclidean space is introduced by Chen as a curve whose position vector always lies in its rectifying plane spanned by the tangent and the binormal vector field t and $n_2$ of the curve, [1]. In this study, we have obtained some characterizations of semi-real spatial quaternionic rectifying curves in $\mathbb{R}^3_1$. Moreover, by the aid of these characterizations, we have investigated semi real quaternionic rectifying curves in semi-quaternionic space $\mathbb{Q}_v$.

• 대한교통학회지
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• 제25권2호
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• pp.157-165
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• 2007

본 연구에서는 GPS(Global Positioning System), INS(Inertial Navigation System), DMI(Distance Measuring Unit) 등 각종 센서를 장착한 차량을 이용하여 차량의 위치정보와 자세정보를 취득하고, 취득된 차량의 주행정보를 이용하여 도로 종단선형을 분석할 수 있는 알고리즘을 개발하였다. 개발된 종단선형 분석 알고리즘은 도로의 종단경사, 종단곡선 시종점 및 도로 종단곡선 길이 등을 분석할 수 있고, 종단경사와 종단곡선을 모형화하였다. 또 개발한 알고리즘의 현장 적용성을 검증하기 위하여, 실제 도로에서 취득한 데이터를 이용하여 종단선형을 분석하였고, 이 결과를 도면과 비교하였다.

• 한국도로학회논문집
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• 제15권6호
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• pp.103-111
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• 2013

PURPOSES : Previous Speed Profile reflects the patterns of speeds in sections of tangents to curves in the roads. However these patterns are uniform of speeds and Acceleration/Deceleration. In oder to supplement these shortcomings. this study made a new profile which can contain factors of Acceleration/Deceleration through theories of Previous Speed Profiles. METHODS : For sakes, this study developed the speed prediction model of Rural Multi-Lane Highways and calculated Acceleration/Deceleration by appling a Polynomial model based on developed speed prediction model. Polynomial model is based on second by second. Acceleration/Deceleration Profile is developed with the various scenarios of road geometric conditions. RESULTS : The longer an ahead tangent length is, The higher an acceleration rate in curve occurs due to wide sight distance. However when there are big speed gaps between two curves, the longer tangent length alleviate acceleration rate. CONCLUSIONS : Acceleration/Deceleration Profile can overview th patterns of speeds and Accelerations/Decelerations in the various road geometric conditions. Also this result will help road designer have a proper guidance to exam a potential geometric conditions where may occur the acceleration/deceleration states.