• 제목/요약/키워드: Polynomial-based Study

검색결과 324건 처리시간 0.027초

Free vibration of functionally graded thin elliptic plates with various edge supports

  • Pradhan, K.K.;Chakraverty, S.
    • Structural Engineering and Mechanics
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    • 제53권2호
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    • pp.337-354
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    • 2015
  • In this article, free vibration of functionally graded (FG) elliptic plates subjected to various classical boundary conditions has been investigated. Literature review reveals no study has been performed based on functionally graded elliptic plates till date. The mechanical kinematic relations are considered based on classical plate theory. Rayleigh-Ritz technique is used to obtain the generalized eigenvalue problem. The material properties of the FG plate are assumed to vary along thickness direction of the constituents according to power-law form. Trial functions denoting the displacement components are expressed in simple algebraic polynomial forms which can handle any edge support. The objective is to study the effect of geometric configurations and gradation of constituent volume fractions on the natural frequencies. New results for frequency parameters are incorporated after performing a test of convergence. A comparison study is carried out with existing literature for validation in special cases. Three-dimensional mode shapes for circular and elliptic FG plates are also presented with various boundary conditions at the edges.

심전도 반응 기반 경쟁, 협동 게임 참여자의 몰입 판단 알고리즘 개발 (Engagement classification algorithm based on ECG(electrocardiogram) response in competition and cooperation games)

  • 이정년;황민철;박상인;황성택
    • 한국게임학회 논문지
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    • 제17권2호
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    • pp.17-26
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    • 2017
  • 최근 청소년들의 인터넷 및 스마트폰 과도한 사용이 사회적 이슈가 되어왔다. 작업에 대한 몰입 수준은 좋은 결과물을 만들 수 있는 긍정적 효과와 과 몰입 같은 부정적 효과를 모두 가지고 있다. 본 연구는 심혈관 반응 기반의 몰입 상태를 판단하는 알고리즘을 개발하고자 하였다. 피험자들은 무 자극 상태, 그리고 몰입을 유발하기 위한 패턴 맞추기 게임을 수행하였고, 몰입 수준을 제공하기 위해 협력과 경쟁 태스크로 나누어 실험 디자인 하였다. 각 태스크에 따라 심박과 진폭의 상관성을 분석하고 다항식 회귀 분석을 통해 회귀식 및 정확도를 확인하였다. 결과는 게임 태스크일 때, 심박과 진폭은 양의 상관성을 보였으며 무자극일 때 음의 상관성을 보였다. 개발된 다차항 회귀식으로 게임 태스크와 무 자극을 구분하는 정확도는 평균 89%의 정확도를 보였다. 태스크간의 차이는 76.5% 정확도를 확인하였다. 본 연구는 실시간으로 몰입 수준을 정량적으로 평가하는데 사용될 수 있을 것으로 기대된다.

A Study on Modeling of Search Space with GA Sampling

  • Banno, Yoshifumi;Ohsaki, Miho;Yoshikawa, Tomohiro;Shinogi, Tsuyoshi;Tsuruoka, Shinji
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2003년도 ISIS 2003
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    • pp.86-89
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    • 2003
  • To model a numerical problem space under the limitation of available data, we need to extract sparse but key points from the space and to efficiently approximate the space with them. This study proposes a sampling method based on the search process of genetic algorithm and a space modeling method based on least-squares approximation using the summation of Gaussian functions. We conducted simulations to evaluate them for several kinds of problem spaces: DeJong's, Schaffer's, and our original one. We then compared the performance between our sampling method and sampling at regular intervals and that between our modeling method and modeling using a polynomial. The results showed that the error between a problem space and its model was the smallest for the combination of our sampling and modeling methods for many problem spaces when the number of samples was considerably small.

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Higher order impact analysis of sandwich panels with functionally graded flexible cores

  • Fard, K. Malekzadeh
    • Steel and Composite Structures
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    • 제16권4호
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    • pp.389-415
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    • 2014
  • This study deals with dynamic model of composite sandwich panels with functionally graded flexible cores under low velocity impacts of multiple large or small masses using a new improved higher order sandwich panel theory (IHSAPT). In-plane stresses were considered for the functionally graded core and face sheets. The formulation was based on the first order shear deformation theory for the composite face sheets and polynomial description of the displacement fields in the core that was based on the second Frostig's model. Fully dynamic effects of the functionally graded core and face-sheets were considered in this study. Impacts were assumed to occur simultaneously and normally over the top and/or bottom of the face-sheets with arbitrary different masses and initial velocities. The contact forces between the panel and impactors were treated as internal forces of the system. Nonlinear contact stiffness was linearized with a newly presented improved analytical method in this paper. The results were validated by comparing the analytical, numerical and experimental results published in the latest literature.

PCA와 입자 군집 최적화 알고리즘을 이용한 얼굴이미지에서 특징선택에 관한 연구 (A Study on Feature Selection in Face Image Using Principal Component Analysis and Particle Swarm Optimization Algorithm)

  • 김웅기;오성권;김현기
    • 전기학회논문지
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    • 제58권12호
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    • pp.2511-2519
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    • 2009
  • In this paper, we introduce the methodological system design via feature selection using Principal Component Analysis and Particle Swarm Optimization algorithms. The overall methodological system design comes from three kinds of modules such as preprocessing module, feature extraction module, and recognition module. First, Histogram equalization enhance the quality of image by exploiting contrast effect based on the normalized function generated from histogram distribution values of 2D face image. Secondly, PCA extracts feature vectors to be used for face recognition by using eigenvalues and eigenvectors obtained from covariance matrix. Finally the feature selection for face recognition among the entire feature vectors is considered by means of the Particle Swarm Optimization. The optimized Polynomial-based Radial Basis Function Neural Networks are used to evaluate the face recognition performance. This study shows that the proposed methodological system design is effective to the analysis of preferred face recognition.

Berlekamp 알고리즘을 이용한 Reed-Solomon 복호기의 VLSI 구조에 관한 연구 (A Study on a VLSI Architecture for Reed-Solomon Decoder Based on the Berlekamp Algorithm)

  • 김용환;정영모;이상욱
    • 전자공학회논문지B
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    • 제30B권11호
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    • pp.17-26
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    • 1993
  • In this paper, a VlSI architecture for Reed-Solomon (RS) decoder based on the Berlekamp algorithm is proposed. The proposed decoder provided both erasure and error correcting capability. In order to reduc the chip area, we reformulate the Berlekamp algorithm. The proposed algorithm possesses a recursive structure so that the number of cells for computing the errata locator polynomial can be reduced. Moreover, in our approach, only one finite field multiplication per clock cycle is required for implementation, provided an improvement in the decoding speed, and the overall architecture features parallel and pipelined structure, making a real time decoding possible. From the performance evaluation, it is concluded that the proposed VLSI architecture is more efficient in terms of VLSI implementation than the rcursive architecture based on the Euclid algorithm.

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FBI(Fortran Based Interpreter)를 이용한 확률변수 변환의 시뮬레이션 모델에 관한 연구 (A Study On the Simulation Model of the Transformation of Random Variables Using FBI (Fortran Based Interpreter))

  • 김원경
    • 대한산업공학회지
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    • 제13권2호
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    • pp.105-115
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    • 1987
  • Although there are many theoretical methods for the transformation of random variables. it is difficult to find probability density functions for the new random variables because of the complexity in mathematics. The author developed a simulation model solving the above difficulties using FBI (Fortran Based Interpreter) routines. The FBI is a kind of language Interpreter analyzing the arithmetic statement in character data forms. In this paper. the FBI routines will be explained and the structure and applications of simulation model will be also demonstrated. Polynomial curve fitting method is applied to define the probability density function which can not be defined by well-known pdf. This program can also be used for instructing mathematical statistics and identifying distribution of the simulated data.

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Case studies: Statistical analysis of contributions of vitamins and phytochemicals to antioxidant activities in plant-based multivitamins through generalized partially double-index model

  • Yoo, Jae Keun;Kwon, Oran
    • Communications for Statistical Applications and Methods
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    • 제23권3호
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    • pp.251-258
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    • 2016
  • It is important to verify the identity of plant-based multivitamins prepared with a natural-concept and popular for daily consumption because they are easily purchased in markets with imperfect information. For this study, a generalized partially double-index model (GPDIM) was employed as a main statistical method to identify the contribution of vitamins and phytochemicals to antioxidant potentials using data on antioxidant capacities and chemical fingerprinting. A bootstrapping approach via sufficient dimension reduction is adopted to estimate the two unknown coefficient vectors in the GPDIM. Fifth order polynomial regressions are fitted to measure the contributions of vitamins and phytochemicals after estimating the coefficient vectors with the two double indices.

3차원 얼굴인식 모델에 관한 연구: 모델 구조 비교연구 및 해석 (A Study On Three-dimensional Optimized Face Recognition Model : Comparative Studies and Analysis of Model Architectures)

  • 박찬준;오성권;김진율
    • 전기학회논문지
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    • 제64권6호
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    • pp.900-911
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    • 2015
  • In this paper, 3D face recognition model is designed by using Polynomial based RBFNN(Radial Basis Function Neural Network) and PNN(Polynomial Neural Network). Also recognition rate is performed by this model. In existing 2D face recognition model, the degradation of recognition rate may occur in external environments such as face features using a brightness of the video. So 3D face recognition is performed by using 3D scanner for improving disadvantage of 2D face recognition. In the preprocessing part, obtained 3D face images for the variation of each pose are changed as front image by using pose compensation. The depth data of face image shape is extracted by using Multiple point signature. And whole area of face depth information is obtained by using the tip of a nose as a reference point. Parameter optimization is carried out with the aid of both ABC(Artificial Bee Colony) and PSO(Particle Swarm Optimization) for effective training and recognition. Experimental data for face recognition is built up by the face images of students and researchers in IC&CI Lab of Suwon University. By using the images of 3D face extracted in IC&CI Lab. the performance of 3D face recognition is evaluated and compared according to two types of models as well as point signature method based on two kinds of depth data information.

이동최소제곱 유한차분법을 이용한 응력집중문제 해석(I) : 고체문제의 정식화 (Analysis of Stress Concentration Problems Using Moving Least Squares Finite Difference Method(I) : Formulation for Solid Mechanics Problem)

  • 윤영철;김효진;김동조;윙 캠 리우;테드 벨리치코;이상호
    • 한국전산구조공학회논문집
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    • 제20권4호
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    • pp.493-499
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    • 2007
  • 본 연구에서는 미분 가능한 함수가 Taylor 전개로 표현되고 그 계수들은 주어진 함수와 미분에 대한 근사값을 제공할 수 있다는 점에 착안하여 m차 Taylor 다항식을 구성하고 이동최소제곱법을 이용하여 그 계수들을 구했다. 계산된 근사함수와 미분을 콜로케이션 개념을 바탕으로 균열 문제를 포함하는 고체문제에 대한 지배 미분방정식에 적용하여 차분식 형태의 이산화된 계방정식을 구성하였다. 본 연구의 해석기법은 격자망(grid)에 의존적이고 근사함수가 없는 유한차분법과 형상함수의 미분과 약형식의 적분산정, 필수경계조건 처리가 어려운 Galerkin법 기반의 무요소법의 단점을 효과적으로 극복한 새로운 수치기법이다.