• 제목/요약/키워드: Curvature Constraints

검색결과 40건 처리시간 0.025초

3D NURBS 곡선의 해석적 및 이산적 순정 (Analytic and Discrete Fairing of 3D NURBS Curves)

  • 홍충성;홍석용;이현찬
    • 한국CDE학회논문집
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    • 제4권2호
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    • pp.127-138
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    • 1999
  • For reverse engineering, curves and surfaces are modeled for new products by interpolating the digitized data points. But there are many measuring or deviation errors. Therefore, it is important to handle errors during the curve or surface modeling. If the errors are ignored, designer could get undesirable results. For this reason, fairing procedure with the aesthetics criteria is necessary in computer modeling. This paper presents methods of 3D NURBS curve fairing. The techniques are based on automatic repositioning of the digitized dat points or the NURBS curve control points by a constrained nonlinear optimization algorithm. The objective function is derived variously by derived curved. Constraints are distance measures between the original and the modified digitized data points. Changes I curve shape are analyzed by illustrations of curve shapes, and continuous plotting of curvature and torsion.

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다중 음원 환경에서의 수동 거리 추정 (Passive Range Estimation Based on Towed Line Array in Multi-Target Environment)

  • 양인식;김준환;김기만
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2000년도 춘계종합학술대회
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    • pp.367-370
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    • 2000
  • 수동형 거리 추정을 위해 다양한 기법들이 논의되고 있다. 바다 속과 같은 신호대 잡음비가 낮은 환경으로 인해 기존의 기법들은 오차발생으로 인한 정확한 음원의 거리 추정이 곤란하다. 그리하여 견인 어레이상에서 부어레이를 구성하여 부어레이의 빔 형성기를 가지고 다중 음원 환경에서 원하는 방향으로 표적과의 거리를 추정한다. 이 때 탐지 방향 이외의 음원 방향의 이득을 최소화시키는 null-constraint 기법을 사용하여 보다 향상된 거리 추정 기법을 제시한다.

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CL면 변형 방법을 이용한 균일한 조도의 공구 경로 생성 (Uniform Scallop Height Tool Path Generation Using CL Surface Deformation)

  • 양민양;김수진
    • 대한기계학회논문집A
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    • 제29권6호
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    • pp.895-903
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    • 2005
  • In this paper, we present a cutter location (CL) surface deformation approach for constant scallop height tool path generation from triangular mesh. The triangular mesh model of the stereo lithography (STL) format is offset to the CL surface and then deformed in accordance with the deformation vectors, which are computed by the slope and the curvature of the CL surface. In addition, the tool path which is computed by slicing the deformed CL surface is inversely deformed by those same deformation vectors to a tool path with a constant scallop height. The proposed method is implemented, and a tool path generated by the proposed method is tested by simulation and by numerical control (NC) machining. The scallop height was found to be constant over the entire machined surface, demonstrating much better quality than that of mesh slicing, under the same constraints for machining time.

기존선 급곡선부의 장대화 방안에 대한 연구 (A study on constructing CWR for railroad under operation)

  • 양신추;노혁천;김은;이종득
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2001년도 춘계학술대회 논문집
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    • pp.303-310
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    • 2001
  • The railroad under operation has very sharp curves and the state of ballast is somewhat deteriorated due to the traffic loads, which put some constraints in converting the conventional rails into CWR. In making CWR, the determination whether the ballast has sufficient capacity for resisting buckling must be made, quantitatively and qualitatively, and schemes to guarantee the required lateral resistance of ballast should be proposed. In this study, using the in-situ investigated data, the probability of buckling of CWR is given for several installation temperatures for CWR. The effect of tamping, DTS, and sleeper spacing are taken into account. The buckling probability is given as a function of curvature and installation temperature of CWR and works used to increase the ballast resistance capacity after tamping, i.e., DTS and reduction of sleeper sparing.

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Falsifying LCDM: model-independent tests of the concordance model of cosmology

  • L'Huillier, Benjamin
    • 천문학회보
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    • 제44권1호
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    • pp.56.1-56.1
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    • 2019
  • The concordance LCDM model has been very successful at reproducing a wide range of observations. However, the nature of its main components, such as dark energy, dark matter, and inflation, are still unkown. Therefore, it is of prime importance to question the underlying hypotheses of the model and tests there prediction. While most constraints have been obtained assuming a LCDM universe, model-independent approaches, which do not make assumptions regarding the model, are a powerful approach. To falsify the LCDM model, I applied model-indepedent methods to the latests available data to test different aspects of the concordance model, such as the FLRW metric, the curvature, dark energy as the cosmological constant, and gravity as general relativity. The Universe is consistent with flat-LCDM with GR. However, at z>1, tensions start to appear, and more data are required.

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RIGIDITY AND NONEXISTENCE OF RIEMANNIAN IMMERSIONS IN SEMI-RIEMANNIAN WARPED PRODUCTS VIA PARABOLICITY

  • Railane Antonia;Henrique F. de Lima;Marcio S. Santos
    • 대한수학회지
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    • 제61권1호
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    • pp.41-63
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    • 2024
  • In this paper, we study complete Riemannian immersions into a semi-Riemannian warped product obeying suitable curvature constraints. Under appropriate differential inequalities involving higher order mean curvatures, we establish rigidity and nonexistence results concerning these immersions. Applications to the cases that the ambient space is either an Einstein manifold, a steady state type spacetime or a pseudo-hyperbolic space are given, and a particular investigation of entire graphs constructed over the fiber of the ambient space is also made. Our approach is based on a parabolicity criterion related to a linearized differential operator which is a divergence-type operator and can be regarded as a natural extension of the standard Laplacian.

Mechanical behavior of coiled tubing over wellhead and analysis of its effect on downhole buckling

  • Zhao, Le;Gao, Mingzhong;Li, Cunbao;Xian, Linyun
    • Steel and Composite Structures
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    • 제44권2호
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    • pp.199-210
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    • 2022
  • This study build finite element analysis (FEA) models describing the bending events of coiled tubing (CT) at the wellhead and trips into the hole, accurately provide the state of stress and strain while the CT is in service. The bending moment and axial force history curves are used as loads and boundary conditions in the diametrical growth models to ensure consistency with the actual working conditions in field operations. The simulation diametrical growth results in this study are more accurate and reasonable. Analysis the factors influencing fatigue and diametrical growth shows that the internal pressure has a first-order influence on fatigue, followed by the radius of the guide arch, reel and the CT diameter. As the number of trip cycles increase, fatigue damage, residual stress and strain cumulatively increase, until CT failure occurs. Significant residual stresses remain in the CT cross-section, and the CT exhibits a residual curvature, the initial residual bending configuration of CT under wellbore constraints, after running into the hole, is sinusoidal. The residual stresses and residual bending configuration significantly decrease the buckling load, making the buckling and buckling release of CT in the downhole an elastic-plastic process, exacerbating the helical lockup. The conclusions drawn in this study will improve CT models and contribute to the operational and economic success of CT services.

각속도 제한을 고려한 무인기의 Dubins 경로 생성 및 추적 (Dubins Path Generation and Tracking of UAVs With Angular Velocity Constraints)

  • 양유영;장석호;이현재
    • 한국항공우주학회지
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    • 제49권2호
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    • pp.121-128
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    • 2021
  • 본 논문에서는 초기지점과 최종지점이 주어졌을 때 2차원 평면에서 무인기의 경로 생성 및 추적 문제에 대해 제안한다. Dubins 곡선을 이용한 경로 생성 알고리즘은 계산 속도가 빨라 무인기에 실시간으로 적용 가능하다는 장점이 있다. 경로 추적 알고리즘은 가시거리 유도 알고리즘과 유사한 알고리즘으로 효율적으로 방향각을 제어하기 위해 전방주시거리 개념과 관련된 이득 값을 추가하였다. 무인기의 경우 최대 곡률이 제한된다. 정밀한 제어를 위해 쿼드로터 모델을 사용하였다. 각속도 제한을 고려한 슬라이딩 모드 제어기를 통해 최대 곡률을 벗어나지 않고 경로를 추종하는 시뮬레이션을 진행하였다. 제약조건이 없는 제어기와 제약조건이 있는 제어기를 비교하여 경로 생성 및 추적 성능을 검증하였다.

Nonlinear finite element solutions of thermoelastic flexural strength and stress values of temperature dependent graded CNT-reinforced sandwich shallow shell structure

  • Mehar, Kulmani;Panda, Subrata K.
    • Structural Engineering and Mechanics
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    • 제67권6호
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    • pp.565-578
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    • 2018
  • This research article reported the nonlinear finite solutions of the nonlinear flexural strength and stress behaviour of nano sandwich graded structural shell panel under the combined thermomechanical loading. The nanotube sandwich structural model is derived mathematically using the higher-order displacement polynomial including the full geometrical nonlinear strain-displacement equations via Green-Lagrange relations. The face sheets of the sandwich panel are assumed to be carbon nanotube-reinforced polymer composite with temperature dependent material properties. Additionally, the numerical model included different types of nanotube distribution patterns for the sandwich face sheets for the sake of variable strength. The required equilibrium equation of the graded carbon nanotube sandwich structural panel is derived by minimizing the total potential energy expression. The energy expression is further solved to obtain the deflection values (linear and nonlinear) via the direct iterative method in conjunction with finite element steps. A computer code is prepared (MATLAB environment) based on the current higher-order nonlinear model for the numerical analysis purpose. The stability of the numerical solution and the validity are verified by comparing the published deflection and stress values. Finally, the nonlinear model is utilized to explore the deflection and the stresses of the nanotube-reinforced (volume fraction and distribution patterns of carbon nanotube) sandwich structure (different core to face thickness ratios) for the variable type of structural parameter (thickness ratio, aspect ratio, geometrical configurations, constraints at the edges and curvature ratio) and unlike temperature loading.

구면수차를 이용한 정밀모형안의 최적화 (Optimum design of the finite schematic eye using spherical aberration)

  • 김상기;박성찬
    • 한국광학회지
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    • 제13권3호
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    • pp.266-271
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    • 2002
  • 구면수차와 Stiles-Crawford 효과를 기준으로 4개의 굴절비구면을 가지는 모형안을 최적화 기법으로 설계하였다. 구속조건으로는 측정된 안구의 곡률반경 , 중심두께, 비구면도, 구면수차를 사용하였다. 또한 동공에서의 Stiles-Crawford 효과를 고려하여 최적화하였다 최적화의 결과로 얻은 모형안의 근축영역값들은 유효초점거리 20.8169mm, 상측정점초점거리 15.4820mm, 물측정점초점거리 -13.8528mm, 상거리 15.7150mm이다. 본 논문의 모형안은 한국인 정시 75안을 대상으로 측정되어진 자료를 바탕으로 국내에서 처음으로 제작된 정밀모형안이다.