• Title/Summary/Keyword: Rational B-Spline Curve

Search Result 26, Processing Time 0.025 seconds

Hull Form Definition of Underwater Vehicle using NURBS Curve (NURBS곡선을 이용한 수중운동체의 선형정의)

  • Hyun-Cheol Kim;Seon-Sik Pyo;Soo-Young Kim
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.32 no.2
    • /
    • pp.1-9
    • /
    • 1995
  • This paper suggests a numerical method that creates and varies hull form geometry of underwater vehicle. That is, it induces the cylindrical underwater vehicle from principal dimensions-total length, the length of parallel middle body, the coefficient defining entrance & run parts etc.-and represents using NURBS curve. Also, each section of hull form is varied by user interface and Sectional Area Curve is generated.

  • PDF

A Study on Prediction of Acoustic Loads of Launch Vehicle Using NURBS Curve Modeling (넙스(NURBS) 곡선 모델링을 이용한 발사체 음향하중 예측에 대한 연구)

  • Park, Seoryong;Kim, Hongil;Lee, Soogab
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.46 no.2
    • /
    • pp.106-113
    • /
    • 2018
  • The Intense acoustic wave generated by the jet flame at the lift-off causes the vehicle to vibrate in the form of acoustic loads. The DSM-II(Distributing Source Method-II), which is a representative empirical acoustic loads prediction method, is a method of distributing a noise source along a jet flame axis and has advantages in calculation cost and accuracy. However, due to the limitation of the distributing method, there is a limit to accurately reflect the various launch pad configurations. In this study, acoustic loads prediction method which can freely distribute noise sources is studied. by introducing NURBS(Non-Uniform Rational B-Spline) modeling into empirical prediction method. For the verification of the newly introduced analytical technique of the NURBS, the acoustic loads prediction for the Epsilon rocket's low-noise launch pad shape was performed and the results of the analysis were compared with the existing prediction methods and experimental results.

NURBS Interpolation Algorithm for CNC Machining with High Speed and High Precision (고속ㆍ고정도 CNC가공을 위한 NURBS 보간 알고리즘)

  • 김민중;송진일;권동수
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.17 no.1
    • /
    • pp.192-197
    • /
    • 2000
  • In CNC machining, a free curve is cut into small linear segments using the linear interpolation(G01) method. Therefore, the interpolation error along the curve is not constant due to the changing curvature. This paper presents a NURBS (Non-Uniform Rational B-Spline) interpolation algorithm for machining free curves with high precision and high speed. The proposed NURBS interpolation defines the tool path with NURBS parameters and limits the interpolation error to any desired level by adjusting the feed rate considering the curvature of the shape and sampling time. Both linear and NURBS interpolations are compared to show the validity of the proposed algorithm.

  • PDF

Research on Machineability in NURBS Interpolator Considering Constant Material Removal Rate (소재제거율을 일정하게 한 NURBS 보간기에서 절삭성 고찰)

  • Ko Tae Jo;Kim Hee Sul
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.21 no.12
    • /
    • pp.60-66
    • /
    • 2004
  • Increasing demands on precision machining of 3D free-form surface have necessitated the tool to move smoothly with varying feedrate. To this regard, parametric interpolators such as NURBS (Non-Uniform Rational B-Spline) interpolator have been introduced in CNC machining system. Such interpolators reduce the data burden in NC code, increase data transfer rate into NC controller, and finally give smooth motion while machining. In this research, a new concept to control cutting load in NURBS Interpolator was tried based on the curvature of curve. This is to protect cutting tool, and to have good machinability. For proof of the system, cutting force and surface topography were evaluated. From the experimental results. the interpolator is good enough for machining a free-form surface.

Electric Field Optimization using the NURB curve in a Gas-Insulated Switchgear (NURB 곡선을 이용한 가스절연 원통형 관로 내에서의 전계 최적화)

  • Han, In-Su;Kim, Eung-Sik;Min, Suk-Won;Lee, June-Ho;Park, Jong-Keun;Lee, Tae-Hyung;Park, Choon-Soo
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.58 no.3
    • /
    • pp.548-558
    • /
    • 2009
  • This paper attempts to develop an algorithm which optimizes the electric field through the so-called NURB(Non-Uniform Rational B-spline) curve in order to improve the insulation capacity. In particular, the NURB curve is a kind of interpolation curve that can be expressed by a few variables. The electric field of a conductor is computed by Charge Simulation Method(CSM) while that of a spacer by Surface Charge Method(SCM); this mixed calculation method is adopted for the electric field optimization. For calculation of the initial and optimal shapes, the Gauss-Newton method, which is quite easy to formulate and has slightly faster convergence rate than other optimization techniques, was used. The tangential electric field, the total electric field, and the product of the tangential electric field and area (Area Effect) were chosen as the optimization objective function by the average value of electric field for the determined initial shape.

Simultaneous 3D Machining with Real-Time NURBS Interpolation

  • Hong, Won-Pyo;Lee, Seok-Woo;Park, Hon-Zong;Yang, Min-Yang
    • Journal of Mechanical Science and Technology
    • /
    • v.17 no.3
    • /
    • pp.336-342
    • /
    • 2003
  • Increasing demand on precision machining using computerized numerical control (CNC) machines have necessitated that the tool move not only with the smallest possible position error but also with smoothly varying feedrates in 3-dimensional (3D) space. This paper presents the simultaneous 3D machining process investigated using a retrofitted PC-NC milling machine. To achieve the simultaneous 3-axis motions, a new precision interpolation algorithm for 3D Non Uniform Rational B-Spline (NURBS) curve is proposed. With this accurate and efficient algorithm for the generation of complex 3D shapes, a real-time NURBS interpolator was developed using a PC and the simultaneous 3D machining was accomplished satisfactorily.

NURBS Interpolation Algorithm for CNC Machines (CNC 공작기계의 NURBS 보간 알고리즘에 관한 연구)

  • Hong, Won-Pyo;Yang, Min-Yang
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.17 no.12
    • /
    • pp.115-120
    • /
    • 2000
  • Increasing demands on precision machining of free-form surface have necessitated that the tool to move not only position error as small as possible, but also with smoothly varying feedrates. This paper presents new algorithm for high precision 3D(3-dimensional) NURBS(Non-Uniform Rational B-Spline) interpolation in the reference-pulse technique. Based o the minimum path error strategy, interpolation algorithm was designed to follow the NURBS curve. Using this algorithm a real-time 3D NURBS interpolator was developed in software. The algorithm implemented in a PC showed promising results in interpolation error and speed performance. It is expected that this can be applied to the CNC systems for the high precision machining of complex shapes.

  • PDF

Simultaneous 3D Machining with Real-Time NURBS Interpolation (실시간 NURBS 보간에 의한 동시 3차원 가공에 관한 연구)

  • Hong, Won-Pyo;Yang, Min-Yang;Lee, Eung-Ki
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.19 no.5
    • /
    • pp.89-94
    • /
    • 2002
  • Increasing demands on precision machining using CNC machines have necessitated that the tool to move with a position error as small as possible in 3-dimensional (3D) space. This paper presents the simultaneous 3D machining with a retrofitted PC-NC milling machine. To achieve the simultaneous 3-axis motions, a new precision interpolation algorithm for 3D Non-Uniform Rational B-Spline(NURBS) curve is used. With this accurate and efficient algorithm for the generation of complex. 3D shapes, a real-time NURBS interpolator was developed using a PC and the simultaneous 3D machining is accomplished.

Investigation on Electric Field Optimization Algorithm of Spacer in Gas Insulated System (가스절연 원통형 관로 내의 스페이서 전계 최적화 알고리즘에 관한 연구)

  • Kim, Ung-Sik;Min, Seok-Won
    • The Transactions of the Korean Institute of Electrical Engineers C
    • /
    • v.51 no.3
    • /
    • pp.115-120
    • /
    • 2002
  • This Paper describes an algorithm for the design of axi-symmetrical spacer under specified field conditions. The electric field alas been calculated by combination method of Integral Equation Method(IEM) and Charge Simulation Method(CSM). The contour of spacer is represented with NURB(Non-Uniform Rational B-spline) curve of which effectiveness has been proved. This algorithm introduces a design process in the aspect of electrical field, when a spacer in airtight cylinder is designed. Also various field conditions for obtaining optical shapes have been proposed. Due to the algorithm, the entire process shows a stable convergence. Both tangential and total electrical field are taken into consideration as specified field criteria.

Simulation Study for the Application of NURBS Interpolator (CNC공작기계에 NURBS 보간 알고리즘 적용을 위한 시뮬레이션 분석)

  • 김태훈;고태조;김희술
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 2001.04a
    • /
    • pp.979-982
    • /
    • 2001
  • In CNC machining, demands on precision machining of free formed surface model are increasing. Most of the CAD/CAM systems provide the NURBS(Non-Uniform Rational B-Spline) interpolator. NURBS is defined with NURBS parameter by control point, weight value and knot value. This paper shows the realtime NURBS interpolation algorithms and compared with each other. One is based on the equal length of curve segments rather than equal increment of the parameter Δu. The other is to limit the interpolation error to any desired level by adjusting the feedrate considering the curvature of the shape and sampling time.

  • PDF