• Title/Summary/Keyword: polynomial interpolation

Search Result 141, Processing Time 0.021 seconds

Prediction of the Edge Sealing Shape on the Vacuum Glazing Using the Nonlinear Regression Analysis (비선형회귀분석을 이용한 진공유리 모서리 접합단면 형상예측)

  • Kim, Youngshin;Jeon, Euysik
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.14 no.3
    • /
    • pp.1016-1021
    • /
    • 2013
  • While using the hydrogen mixture gas torch, the glass edge sealing and the shape of the edge sealing parts is affected by many parameters such as flow rate of gas, traveling speed of torch, distance between glass and torch. As the glass edge sealing shape have effects on the insulation and airtightness and strength of the glass panel; the sealing shapes are predicted according to the process parameters. The paper highlight the nonlinear regression equations of the cross-sectional shape of the sealing shape according to the parameters, that is experimentally predicted later compared and verified the equation with the experimental result.

An Optimum Design of the Shaped Cassegrainian Antenna (수정 곡면 카세그레인 안테나의 최적 설계)

  • Ryu, Hwang;Kim, Ik-Sang
    • The Journal of Engineering Research
    • /
    • v.2 no.1
    • /
    • pp.113-123
    • /
    • 1997
  • The purpose of this paper is an optimum design of the shaped Cassegrainian antenna system for the base station. The process of the shaped Cassegrainian antenna design is as follows : 1) the aperture field distribution is determined so as to meet design specifications, 2) a proper design parameter is selected, 3) extracting of the dimension data for the main and sub-reflector antenna To do these, Hansen's distribution is chosen as the aperture field, and the far-field pattern from the aperture is predicted by the angular spectrum. Firstly, the aperture field distribution is designed to satisfy the specification for design frequency, it is confirmed if this distribution meet the specification for another frequency band. The main- and the sub-reflectors are synthesized so as for the given beamwaveguide feed pattern to be transformed into the prescribed aperture distribution. The designed system has circular aperture, left-right symmetry and no tilted structure. The continuous surface functions of reflectors are obtained by adopting the global interpolation technique to the discrete reflector profiles. Jacobi polynomial-sinusoidal is used as the basis function. A Ka-band Cassegrainian antenna operates over 17.7 – 20.2 GHz for down-link band and 27.5 – 30 GHz for up-link band is designed.

  • PDF

Modeling and Simulation Study of Multipath Ghosts (다중 경로 고스트의 모델링 및 시뮬레이션 연구)

  • Kwon, Sung-Jae
    • Journal of the Korea Computer Industry Society
    • /
    • v.6 no.5
    • /
    • pp.675-686
    • /
    • 2005
  • This paper proposes a new method of mathematically modeling and computer simulating television ghosts wherein television signals that have undergone multipath fading are generated without using approximations by considering the attenuation, time delay, phase, and timing jitter between consecutive frames. Conventional methods used polynomial interpolation or complex arithmetic to take into account the ghost phase, but our method uses only real arithmetic by employing the Hilbert transform and also reduces the computation time using the FFT (fast Fourier transform) algorithm. Furthermore, it is also possible to observe the transmit waveforms in both RF and IF ranges. Various ghost patterns generated in software provide for essential data required for the development of ghost canceling algorithms, and are deemed to be very useful in analyzing the constituent blocks of the transmitter and receiver chain in television broadcasting. The development of ghost cancelers needs to be preceded by the task of mathematically modeling ghosts and their extensive computer simulations.

  • PDF

Tight Path Following PID Controller for a Vehicle with Time Delay (비행체 시간지연을 고려한 정밀경로추종 PID 제어기법)

  • Rhee, Ihn-Seok;Park, Sang-Hyuk;Lee, Kyoung-Ho
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.39 no.7
    • /
    • pp.618-626
    • /
    • 2011
  • In order to complete missions in a complicated terrain or highly dangerous area, an unmanned aerial vehicle(UAV) needs a fine controller to precisely follow the desired path. A PID controller used for the path following feeds forward path curvature information to the control input to improve the path following performance. High gain for PID controller is necessary to follow path tightly. However the high gain could cause instability or performance degradation when the vehicle has slow dynamics. We present PID controller design method which considers response delay of vehicle as well as path curvature. In order to obtain path curvature the desired path is described as a 3rd order polynomial by applying cubic spline interpolation. We apply the proposed controller to the path following of a UAV which is operated in high altitude and has very slow lateral dynamics. The lateral dynamics are modelled as a first order delayed system in the controller design. Nonlinear simulation shows the UAV with proposed controller follows an arbitrary path very tightly.

On-board Realtime Orbit Parameter Generator for Geostationary Satellite (정지궤도위성 탑재용 실시간 궤도요소 생성기)

  • Park, Bong-Kyu;Yang, Koon-Ho
    • Aerospace Engineering and Technology
    • /
    • v.8 no.2
    • /
    • pp.61-67
    • /
    • 2009
  • This paper proposes an on-board orbit data generation algorithm for geostationary satellites. The concept of the proposed algorithm is as follows. From the ground, the position and velocity deviations with respect to the assumed reference orbit are computed for 48 hours of time duration in 30 minutes interval, and the generated data are up-loaded to the satellite to be stored. From the table, three nearest data sets are selected to compute position and velocity deviation for asked epoch time by applying $2^{nd}$ order polynomial interpolation. The computed position and velocity deviation data are added to reference orbit to recover absolute orbit information. Here, the reference orbit is selected to be ideal geostationary orbit with a zero inclination and zero eccentricity. Thanks to very low computational burden, this algorithm allows us to generate orbit data at 1Hz or even higher. In order to support 48 hours autonomy, maximum 3K byte memory is required as orbit data storage. It is estimated that this additional memory requirement is acceptable for geostationary satellite application.

  • PDF

Pressure loading, end- shortening and through- thickness shearing effects on geometrically nonlinear response of composite laminated plates using higher order finite strip method

  • Sherafat, Mohammad H.;Ghannadpour, Seyyed Amir M.;Ovesy, Hamid R.
    • Structural Engineering and Mechanics
    • /
    • v.45 no.5
    • /
    • pp.677-691
    • /
    • 2013
  • A semi-analytical finite strip method is developed for analyzing the post-buckling behavior of rectangular composite laminated plates of arbitrary lay-up subjected to progressive end-shortening in their plane and to normal pressure loading. In this method, all the displacements are postulated by the appropriate harmonic shape functions in the longitudinal direction and polynomial interpolation functions in the transverse direction. Thin or thick plates are assumed and correspondingly the Classical Plate Theory (CPT) or Higher Order Plate Theory (HOPT) is applied. The in-plane transverse deflection is allowed at the loaded ends of the plate, whilst the same deflection at the unloaded edges is either allowed to occur or completely restrained. Geometric non-linearity is introduced in the strain-displacement equations in the manner of the von-Karman assumptions. The formulations of the finite strip methods are based on the concept of the principle of the minimum potential energy. The Newton-Raphson method is used to solve the non-linear equilibrium equations. A number of applications involving isotropic plates, symmetric and unsymmetric cross-ply laminates are described to investigate the through-thickness shearing effects as well as the effect of pressure loading, end-shortening and boundary conditions. The study of the results has revealed that the response of the composite laminated plates is particularly influenced by the application of the Higher Order Plate Theory (HOPT) and normal pressure loading. In the relatively thick plates, the HOPT results have more accuracy than CPT.

Spectral Analysis of Heart Rate Variability in ECG and Pulse-wave using autoregressive model (AR모델을 이용한 심전도와 맥파의 심박변동 스펙트럼 해석)

  • Kim NagHwan;Lee EunSil;Min HongKi;Lee EungHyuk;Hong SeungHong
    • Journal of the Institute of Convergence Signal Processing
    • /
    • v.1 no.1
    • /
    • pp.15-22
    • /
    • 2000
  • The analysis of power spectrum based on linear AR model is applied widely to quantize the response of autonomic nerve noninvasively, In this paper, we estimate the power spectrum density for heartrate variability of the electrocadiogram and pulse wave for short term data(less than two minute), The time series of heart rate variability is obtained from the time interval(RRI, PPI) between the feature point of the electrocadiogram and pulse wave for normal person, The generated time series reconstructed into new time series through polynomial interpolation to apply to the AR mode. The power spectrum density for AR model is calculated by Burg algorithm, After applying AR model, the power spectrum density for heart rate variability of the electrocadiogram and the pulse wave is shown smooth spectrum power at the region of low frequence and high frequence, and that the power spectrum density of electrocadiogram and pulse wave has similar form for same subject.

  • PDF

Studies on Probabilistic Nonlinear First Ply Failure Loads and Buckling Loads of Laminated Composite Panels (적층복합재료 패널의 확률론적 비선형 초기파단하중 및 좌굴하중에 관한 연구)

  • Bang, Je-Sung
    • Journal of the Korea institute for structural maintenance and inspection
    • /
    • v.17 no.6
    • /
    • pp.1-10
    • /
    • 2013
  • Probabilistic nonlinear first ply failure loads of flat composite panels and nonlinear buckling loads of curved composite panels with cutouts are estimated to provide the more reliable main load carrying structure in the renewable energy industry and offshore structures. The response surface method approximates limit state surface to a second order polynomial form of random variables with the results of deterministic finite element analyses at given sampling design points. Furthermore, the iterative linear interpolation scheme is used to obtain a more accurate approximation of the limit state surface near the most probable failure point (MPFP). The advanced first order second moment method and the Monte Carlo method are performed on an approximated limit state surface to evaluate the probability of failure. Finally, the sensitivity of the reliability index with respect to transformed random variables is investigated to figure out the main random variables that have an effect on failures.

The Optimum Design of Airfoil Shape with Parallel Computation (병렬연산을 이용한 익형의 최적 설계)

  • Jo,Jang-Geun;Park,Won-Gyu
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.31 no.1
    • /
    • pp.1-7
    • /
    • 2003
  • The aerodynamic optimization method for airfoil design was described in this paper. The Navier-Stokes equations were solved to consider the viscous flow information around an airfoil. The Modified Method of Feasible Direction(MMFD) was used for sensitivity analysis and the polynomial interpolation was used for distance calculation of the minimization. The Message Passing Interface(MPI) library of parallel computation was adopted to reduce the computation time of flow solver by decomposing the entire computational domain into 8 sub-domains and one-to-one allocating 8 processors to 8 sub-domains. The parallel computation was also used to compute the sensitivity analysis by allocating each search direction to each processor. The present optimization reduced the drag of airfoil while the lift is maintained at the tolerable design value.

A Study on the Calculation of Resistance of the Ship to be Towed and Towline Tension (선박의 예인저항 및 예인삭의 장력 계산에 관한 연구)

  • Nam, Taek-Kun;Jung, Chang-Hyun;Jeong, Jung-Sik
    • Journal of Navigation and Port Research
    • /
    • v.36 no.8
    • /
    • pp.607-612
    • /
    • 2012
  • In this paper, calculation methods of resistance of the ship to be towed and towline tension are discussed. When the vessel is fallen into dead ship condition then appropriate towing force have to be estimated to move the vessel from accident place to safe area. In this research, resistance of the ship to be towed and the tow hawser were considered to estimate total towline tension. Polynomial interpolation method is also applied to estimate additional hydrodynamic resistance of towline. Finally, UI program to calculate the resistance and total towline tension is developed. The developed program based on the research results is effective and convenient to use.