• Title/Summary/Keyword: first-order approximation

검색결과 248건 처리시간 0.027초

PATCHWISE REPRODUCING POLYNOMIAL PARTICLE METHOD FOR THICK PLATES: BENDING, FREE VIBRATION, AND BUCKLING

  • Kim, Hyunju;Jang, Bongsoo
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제17권2호
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    • pp.67-85
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    • 2013
  • Reproducing Polynomial Particle Method (RPPM) is one of meshless methods that use meshes minimally or do not use meshes at all. In this paper, the RPPM is employed for free vibration analysis of shear-deformable plates of the first order shear deformation model (FSDT), called Reissner-Mindlin plate. For numerical implementation, we use flat-top partition of unity functions, introduced by Oh et al, and patchwise RPPM in which approximation functions have high order polynomial reproducing property and the Kronecker delta property. Also, we demonstrate that our method is highly effective than other existing results for various aspect ratios and boundary conditions.

Motion estimation using regions

  • Sull, Sanghoon
    • 한국통신학회논문지
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    • 제23권9A호
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    • pp.2333-2344
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    • 1998
  • We present a two step approach for estimating the motionand sturcture parameters from region orrespondences in two frames. Given four or more region corresondences on the same planar surface, the motion and planar orientation parameters are first linearly estimated based on second-order approximation of the displacement field of the image plane. Then, using this linear estimate as an initial guess, a nonlinear estimate is obtained by iteratively minimizing an objective function using the exact experession of the displacement field. The objective function involves the centroids of corresponding regions and relationships among low-order moments. Through simulations, we show that the two-step region-based approach gives robust estimates. The performance of nonlinear region-based estimation is compared with that of linear region-based and point-based methods. Experimental results for two image pairs, on esynthetic and one real, ar epresented to show the practical applicability of our approach.

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A comparison study of approximate and Monte Carlo radiative transfer methods for late type galaxy models

  • Lee, Dukhang;Baes, Maarten;Seon, Kwang-il
    • 천문학회보
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    • 제41권1호
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    • pp.49.3-50
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    • 2016
  • Two major radiative transfer (RT) techniques have been developted to model late-type galaxies: approximate RT and Monte Carlo (MC) RT. In the approximate RT, first proposed by Kylafis & Bahcall, only two terms of unscattered (direct) and single-scattered intensities are computed and higher-order multiple scattering components are approximated, saving computing time and cost compared to MC RT. However, the approximate RT can yield errors in regions where multiple scattering effect is significant. In order to examine how significant the errors of the approximate RT are, we compare results of the approximate RT with those of SKIRT, a state-of-the-art MC RT code, which is basically free from the approximation errors by fully incorporating all the multiple scattered intensities. In this study, we present quantitative errors in the approximate RT for late type galaxy models with various optical depths and inclination angles. We report that the approximate RT is not reliable if the central face-on optical depth is intermediate or high (${\tau}_V$ > 3).

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UKE를 사용한 운항 중 정렬 성능 분석 (Performance Analysis of In-Flight Alignment Using UKF)

  • 강우용;김광진;박찬국
    • 제어로봇시스템학회논문지
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    • 제12권11호
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    • pp.1124-1129
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    • 2006
  • In this paper, in-flight alignment algorithm using UKF is presented for an SDINS aided by SSBL or GPS system under large initial heading error. The EKF usually applied for this task. This approximates the propagation of mean and covariance accurate to first-order only. To overcome this limitation, the unscented transformation that achieves second order approximation is applied to the in-flight alignment. To analyze the performance of the proposed method, simulations for S-type trajectory are carried out. The results show that performance of EKF and UKF are the almost same when the initial heading error is smaller than $30^{\circ}$, but UKF has a better performance for large initial heading error about $45^{\circ}$.

Global performances of a semi-submersible 5MW wind-turbine including second-order wave-diffraction effects

  • Kim, H.C.;Kim, M.H.
    • Ocean Systems Engineering
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    • 제5권3호
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    • pp.139-160
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    • 2015
  • The global performance of the 5MW OC4 semisubmersible floating wind turbine in random waves was numerically simulated by using the turbine-floater-mooring fully coupled and time-domain dynamic analysis program FAST-CHARM3D. There have been many papers regarding floating offshore wind turbines but the effects of second-order wave-body interactions on their global performance have rarely been studied. The second-order wave forces are actually small compared to the first-order wave forces, but its effect cannot be ignored when the natural frequencies of a floating system are outside the wave-frequency range. In the case of semi-submersible platform, second-order difference-frequency wave-diffraction forces and moments become important since surge/sway and pitch/roll natural frequencies are lower than those of typical incident waves. The computational effort related to the full second-order diffraction calculation is typically very heavy, so in many cases, the simplified approach called Newman's approximation or first-order-wave-force-only are used. However, it needs to be justified against more complete solutions with full QTF (quadratic transfer function), which is a main subject of the present study. The numerically simulated results for the 5MW OC4 semisubmersible floating wind turbine by FAST-CHARM3D are also extensively compared with the DeepCWind model test results by Technip/NREL/UMaine. The predicted motions and mooring tensions for two white-noise input-wave spectra agree well against the measure values. In this paper, the numerical static-offset and free-decay tests are also conducted to verify the system stiffness, damping, and natural frequencies against the experimental results. They also agree well to verify that the dynamic system modeling is correct to the details. The performance of the simplified approaches instead of using the full QTF are also tested.

다각형 근사 오차를 최소화하기 위한 2단계 정점 선택 기법 (A Two-Step Vertex Selection Method for Minimizing Polygonal Approximation Error)

  • 윤병주;이훈철;고윤호;이시웅;김성대
    • 대한전자공학회논문지SP
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    • 제40권6호
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    • pp.114-123
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    • 2003
  • 본 논문에서는 다각형 기반 윤곽선 부호화를 위한 새로운 정점 선택 기법을 제안한다. 객체의 모양을 효율적으로 표현하기 위해서 정점 선택 과정에서 기존의 최대 거리 척도뿐만 아니라 곡률 정보를 이용한다. 제안된 기법은 두 단계 과정으로 구성되어 있다. 첫 번째 단계에서는 곡률이 큰 윤곽선 화소들을 CSS (curvature scale space)를 이용하여 키 정점(key vortices)으로 선택한다. 이 점들은 객체의 윤곽선을 여러 개의 부분 윤곽선(contour segment)들로 나누며, 각 부분 윤곽선은 양 끝점이 인접한 두 개의 키 정점인 하나의 열린 윤곽선으로 독립적으로 처리된다. 두 번째 단계에서는 각각의 부분 윤곽선에서 주어진 허용 오차(D/sub max//sup */)를 만족하면서 최소 개수의 정점을 선택하기 위해 순차적 정점 선택 기법을 이용하여 정점을 선택한다. 그리고 선택된 정점들은 오차 영역 면에서 최적의 위치를 찾기 위해 동적 프로그래밍(DP : dynamic programming) 기법을 사용하여 조정된다. 제안된 기법과 기존의 기법들의 근사 성능을 비교하기 위해 실험 결과를 제시한다.

단섬유 보강 복합재료에서의 섬유배향의 수치모사를 위한 개선된 근사모델 (Improved Closure Approximation for Numerical Simulation of Fiber Orientation in Fiber-Reinforced Composite)

  • D.H. Chung;T.H. Kwon
    • 유변학
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    • 제10권4호
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    • pp.202-216
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    • 1998
  • 기존의 'Orthotropic' 근사모델의 개선된 형태인 ORW를 새로운 유동 자료를 이용하여 수치적으로 구하였다. 기존의 'Orthotropic' 근사모델인 ORF나 ORL은 특히 전단유동 하에서 상호작용상수 $C_1$<0.001인 경우 비물리적 진동특성을 나타낸다. 물론 center-gated disk와 같은 비균일 유동하에서도 비물리적 진동특성을 나타내고 'Distribution Function Calculation'과 비교하여 배향 상태를 낮게 예측한다. 이런 현상들은 바로 least-square 최적화 시 사용된 유동 자료에 기인한 것을 알 수 있었다. 작은 상호작용계수의 균일 유동 자료를 이용하여 최적화를 한 ORW의 경우 비물리적 진동특성도 나타나지 않았고 균일 및 비균일 유동하에서 모두 정성적으로 잘 일치함을 확인할 수 있었다. 최적화 시 사용된 함수의 선택은 근사모델을 발전시키는데 그다지 영향을 미치지 못하였다. 하지만, 모든 배향 텐서의 eigenvalue들을 고려하면 보다 정량적으로 발전시킬 수 있지만 이들의 함수모양 선택은 중요하고 어려운 문제다. 비교를 위하여 ORW와 다른 여러 가지 근사모델을 이용하여 Film-gated strip과 Center-gated disk에 대한 연계효과 및 평면속도구배를 포함한 사출성형 충전공정의 수치모사를 수행하였다. ORW가 'Distribution Function Calculation' 과 비교하여 정량적으로도 거의 비슷한 결과를 예측함을 보여주지만 실제 실험자료와 비교하였을 때 약간의 차이가 있음을 확인하였다. 따라서 좀 더 정확히 섬유의 배향도를 예측하기 위해서는 섬유들의 상호작용을 나타내는 항의 모델링의 변화가 요구된다.

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Design of I-PDA Controller Incorporating FFC for Flow Control Systems

  • Cahyadi, A.I.;Khuakoonratt, N.;Benjanarasuth, T.;Ngamwiwit, J.;Komine, N.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.1007-1011
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    • 2003
  • In this paper, a design of I-PDA controller by CDM to control a flow process whose structure is first order lag plus a dead time is introduced. The factor of dead time of the process is approximated by second order Pade approximation in order to get a third order system. The simulations show that both of the transient and steady state specifications can be fulfilled. However, the transient response of the I-PDA control system still has long rise time. Then, a feedforward controller (FFC) with two adjustable parameters and one derivative time is introduced into I-PDA control system for improving the speed of the system response. It is shown, from the simulation results, that the performance of the I-PDA control system with suitable FFC has shorter rise time and no overshoot, while settling time remains almost the same. The performance comparison of the proposed control system with the PI control system with and without FFC is also made.

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No Tardiness Rescheduling with Order Disruptions

  • Yang, Jaehwan
    • Industrial Engineering and Management Systems
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    • 제12권1호
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    • pp.51-62
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    • 2013
  • This paper considers a single machine rescheduling problem whose original (efficiency related) objective is minimizing makespan. We assume that disruptions such as order cancelations and newly arrived orders occur after the initial scheduling, and we reschedule this disrupted schedule with the objective of minimizing a disruption related objective while preserving the original objective. The disruption related objective measures the impact of the disruptions as difference of completion times in the remaining (uncanceled) jobs before and after the disruptions. The artificial due dates for the remaining jobs are set to completion times in the original schedule while newly arrived jobs do not have due dates. Then, the objective of the rescheduling is minimizing the maximum earliness without tardiness. In order to preserve the optimality of the original objective, we assume that no-idle time and no tardiness are allowed while rescheduling. We first define this new problem and prove that the general version of the problem is unary NP-complete. Then, we develop three simple but intuitive heuristics. For each of the three heuristics, we find a tight bound on the measure called modified z-approximation ratio. The best theoretical bound is found to be 0.5 - ${\varepsilon}$ for some ${\varepsilon}$ > 0, and it implies that the solution value of the best heuristic is at most around a half of the worst possible solution value. Finally, we empirically evaluate the heuristics and demonstrate that the two best heuristics perform much better than the other one.

승객 상해의 감소를 위한 승용차 조향주의 최적설계 (An Optimum Design of a Steering Column to Minimize the Injury of a Passenger)

  • 박영선;이주영;박경진
    • 한국자동차공학회논문집
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    • 제3권1호
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    • pp.33-44
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    • 1995
  • As the occupant safety receives more attention from automobile industries. protection systems have been developed quite well. Developed protection systems must be evaluated through real tests in crash environment Since the real tests are extremely expensive. computer simulations are replaced for some prediction of the real test In the computer simulation. it is very crucial to express the real environment precisely in the modeling precess. The energy absorbing(EA) steering system has a very important rote in vehicle crashes because the occupant can hit the system directly. In this study. the EA steering system is modeled precisely. analyzed for the safely and designed by an optimization technology. First. the EA steering system is disassembled by parts and modeled by segments and joints. The segments are modeled by rigid bodies in motion and they have resistances in contact. Spring-damper elements and force-deflection curves are utilized to represent the joints. The body block test is cal lied out to validate. the modeling. When the test results are not enough for the detailed modeling. the differences between tests and simulations are minimized to calculate unknown parameters using optimization. The established model is applied to a crash simulation of a full-car model and tuned again. After the modeling is finished. components of the steering system are designed by an optimization algorithm. In the optimization process. the compound injury of a driver is defined and minimized to determine the chracteristics of the components. The second. order approximation algorithm has been adopted for the optimization.

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