• 제목/요약/키워드: polynomial interpolation

검색결과 141건 처리시간 0.023초

A novel aerodynamic vibration and fuzzy numerical analysis

  • Timothy Chen;Yahui Meng;Ruei-Yuan Wang;ZY Chen
    • Wind and Structures
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    • 제38권3호
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    • pp.161-170
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    • 2024
  • In recent years, there have been an increasing number of experimental studies showing the need to include robustness criteria in the design process to develop complex active control designs for practical implementation. The paper investigates the crosswind aerodynamic parameters after the blocking phase of a two-dimensional square cross-section structure by measuring the response in wind tunnel tests under light wind flow conditions. To improve the accuracy of the results, the interpolation of the experimental curves in the time domain and the analytical responses were numerically optimized to finalize the results. Due to this combined effect, the three aerodynamic parameters decrease with increasing wind speed and asymptotically affect the upper branch constants. This means that the aerodynamic parameters along the density distribution are minimal. Taylor series are utilized to describe the fuzzy nonlinear plant and derive the stability analysis using polynomial function for analyzing the aerodynamic parameters and numerical simulations. Due to it will yield intricate terms to ensure stability criterion, therefore we aim to avoid kinds issues by proposing a polynomial homogeneous framework and utilizing Euler's functions for homogeneous systems. Finally, we solve the problem of stabilization under the consideration by SOS (sum of squares) and assign its fuzzy controller based on the feasibility of demonstration of a nonlinear system as an example.

내장형 시스템에 적용 가능한 지오이드의 실시간 결정 (Real-time Calculation of Geoid Applicable to Embedded Systems)

  • 김현석;박찬식
    • 한국항행학회논문지
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    • 제24권5호
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    • pp.374-381
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    • 2020
  • 수직위치 정확도를 개선하기 위해 GPS와 기압고도계의 장점을 융합하여 사용하지만, 두 센서를 융합하기 위해서는 지오이드 고도를 보상해 주어야 한다. 본 논문에서는 드론이나 자율주행 차량에 적용되는 저가의 내장형 시스템에서도 실시간으로 지오이드 고도를 계산할 수 있는 기법을 제안하였다. 기준이 되는 EGM08은 2160차의 다항식으로 결정되기 때문에 내장형 시스템에서 실시간 계산이 불가능하다. 때문에 선형 보간 기법을 도입하여 계산량을 줄이고, 정수형 지오이드 고도를 격자점으로 사용하여 저장공간을 75%절감하였다. 시뮬레이션을 통해 제안된 기법의 정확도를 평가하였으며, 지오이드 변화가 급격한 지역에서도 최대 오차 -1.215 m의 정확도를 갖는 것을 확인하였다.

ARM/NEON 프로세서를 활용한 NIST PQC SABER에서 Toom-Cook 알고리즘 최적화 구현 연구 (Optimization Study of Toom-Cook Algorithm in NIST PQC SABER Utilizing ARM/NEON Processor)

  • 송진교;김영범;서석충
    • 정보보호학회논문지
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    • 제31권3호
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    • pp.463-471
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    • 2021
  • NIST(National Institute of Standards and Technology)에서는 2016년부터 양자컴퓨팅 환경을 대비하여 양자내성암호 표준화 사업을 진행하고 있다. 현재 3라운드가 진행 중이며, 대부분 후보자(5/7)는 격자기반 암호이다. 격자기반 암호는 효율적인 연산 처리와 적절한 키 길이를 제공하여 다른 기반의 양자내성 암호보다 리소스가 제한적인 임베디드 환경에서도 적용이 가능하다는 평가를 받고 있다. 그중 SABER KEM은 효율적인 모듈러스와 연산 부하가 큰 다항식 곱셈을 처리하기 위해 Toom-Cook 알고리즘을 제공한다. 본 논문에서는 ARMv8-A 환경에서 ARM/NEON을 활용하여 SABER의 Toom-Cook 알고리즘에서 평가와 보간 과정에 대한 최적화 구현 방법을 소개한다. 평가과정에서는 ARM/NEON의 효율적인 인터리빙 방법을 제안하며, 보간 과정에 서는 다양한 임베디드 환경에서 적용 가능한 최적화된 구현 방법론을 소개한다. 결과적으로 제안하는 구현은 이전 레퍼런스 구현보다 평가과정에서는 약 3.5배 보간과정에서는 약 5배 빠른 성능을 달성하였다.

ISAR 영상 형성을 위한 회전운동보상 기법 연구 (A Study on the Rotational Motion Compensation Method for ISAR Imaging)

  • 강병수;배지훈;정성은;김찬홍;김경태
    • 한국전자파학회논문지
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    • 제27권1호
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    • pp.69-75
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    • 2016
  • 본 논문에서는 표적의 관측각도 변화율이 일정하지 않은 표적의 회전운동 성분의 결과로 인한, 역합성 개구면 레이다(Inverse Synthetic Aperture Radar: ISAR) 영상의 초점 저하 현상을 해결하는 회전운동보상(Rotational Motion Compensation: RMC) 기법을 제안한다. 먼저, 하나의 산란원이 존재하는 레인지 빈(range bin)을 선택한다. 다음으로, 퓨리에 변환(Fourier Transform: FT)과 다항식-위상 변환(Polynomial-Phase Transform: PPT)를 활용하여, 선택된 레인지 빈에 대한 위상함수를 추정한다. 마지막으로, 관측 각도의 변화율을 일정하게 하는 새로운 시간 변수를 정의한 후, 보간법(interpolation)을 통해 새롭게 정의된 시간변수에 대한 레이다 신호를 획득한다. 이에 대한 결과로, 관측 각도의 변화율을 일정하지 않게 하는 표적의 회전운동 성분을 제거함으로써, 초점이 맞는 ISAR 영상을 획득할 수 있다. 전함(battleship) 모델을 사용한 시뮬레이션을 통해 본 논문에서 제안된 RMC 기법의 효용성을 검증하였다.

Static and vibration analysis of thin plates by using finite element method of B-spline wavelet on the interval

  • Xiang, Jiawei;He, Zhengjia;He, Yumin;Chen, Xuefeng
    • Structural Engineering and Mechanics
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    • 제25권5호
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    • pp.613-629
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    • 2007
  • A finite element method (FEM) of B-spline wavelet on the interval (BSWI) is used in this paper to solve the static and vibration problems of thin plate. Instead of traditional polynomial interpolation, the scaling functions of two-dimensional tensor product BSWI are employed to construct the transverse displacements field. The method combines the accuracy of B-spline functions approximation and various basis functions for structural analysis. Some numerical examples are studied to demonstrate the proposed method and the numerical results presented are in good agreement with the solutions of other methods.

LEGENDRE EXPANSION METHODS FOR THE NUMERICAL SOLUTION OF NONLINEAR 2D FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND

  • Nemati, S.;Ordokhani, Y.
    • Journal of applied mathematics & informatics
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    • 제31권5_6호
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    • pp.609-621
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    • 2013
  • At present, research on providing new methods to solve nonlinear integral equations for minimizing the error in the numerical calculations is in progress. In this paper, necessary conditions for existence and uniqueness of solution for nonlinear 2D Fredholm integral equations are given. Then, two different numerical solutions are presented for this kind of equations using 2D shifted Legendre polynomials. Moreover, some results concerning the error analysis of the best approximation are obtained. Finally, illustrative examples are included to demonstrate the validity and applicability of the new techniques.

A Novel Key Sharing Fuzzy Vault Scheme

  • You, Lin;Wang, Yuna;Chen, Yulei;Deng, Qi;Zhang, Huanhuan
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제10권9호
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    • pp.4585-4602
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    • 2016
  • A novel key sharing fuzzy vault scheme is proposed based on the classic fuzzy vault and the Diffie-Hellman key exchange protocol. In this proposed scheme, two users cooperatively build their fuzzy vault for their shared key using their own biometrics. Either of the users can use their own biometrics to unlock the fuzzy vault with the help of the other to get their shared key without risk of disclosure of their biometrics. Thus, they can unlock the fuzzy vault cooperatively. The security of our scheme is based on the security of the classic fuzzy vault scheme, one-way hash function and the discrete logarithm problem in a given finite group.

테두리가 보강된 회전 원판의 반-유한요소해석 (Semi-finite Element Analysis of Rotating Disks Reinforced at Rim)

  • 구교남
    • 한국소음진동공학회논문집
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    • 제19권5호
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    • pp.537-544
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    • 2009
  • In order to increase the critical speed of rotating disks of which functional material could not be changed such as in optical and magnetic data storage disks, a new disk with a rim reinforced by composite material is proposed and its concept is verified by numerical analysis. Stress distributions are found for the rotating disk composed of two annular disks of which materials are isotropic inside and orthotropic outside. Dynamic equation is formulated in order to calculate the natural frequency and critical speed. For the solution of lateral vibration, a rotational symmertry condition is applied along circumferential direction and a finite element interpolation with Hermite polynomial is performed along the radial direction to obtain a proper solution. According to the results, reinforcing a disk at rim makes critical speeds drastically increased, and induces a buckling phenomenon in mode (0,0) which occurs over the lowest critical speed.

2차원 정렬 격자계에서의 불연속 갤러킨 기법과 Spectral Volume 기법 비교 연구 (A COMPARATIVE STUDY BETWEEN DISCONTINUOUS GALERKIN AND SPECTRAL VOLUME METHODS ON STRUCTURED GRIDS)

  • 구희석;김규홍;김종임
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2005년도 추계 학술대회논문집
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    • pp.131-134
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    • 2005
  • Conventional high order interpolation schemes are limitative in several aspects mainly because they need data of neighboring cells at the reconstruction step. However, discontinuous Galerkin method and spectral volume method, two high order flux schemes which will be analyzed and compared in this paper, have an important benefit that they are not necessary to determine the flow gradients from data of neighboring cells or elements. These two schemes construct polynomial of variables within a cell so that even near wall or discontinuity, the high order does not deteriorate.

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Development of Global Function Approximations of Desgin optimization Using Evolutionary Fuzzy Modeling

  • Kim, Seungjin;Lee, Jongsoo
    • Journal of Mechanical Science and Technology
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    • 제14권11호
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    • pp.1206-1215
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    • 2000
  • This paper introduces the application of evolutionary fuzzy modeling (EFM) in constructing global function approximations to subsequent use in non-gradient based optimizations strategies. The fuzzy logic is employed for express the relationship between input training pattern in form of linguistic fuzzy rules. EFM is used to determine the optimal values of membership function parameters by adapting fuzzy rules available. In the study, genetic algorithms (GA's) treat a set of membership function parameters as design variables and evolve them until the mean square error between defuzzified outputs and actual target values are minimized. We also discuss the enhanced accuracy of function approximations, comparing with traditional response surface methods by using polynomial interpolation and back propagation neural networks in its ability to handle the typical benchmark problems.

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