• 제목/요약/키워드: differential transform method

검색결과 198건 처리시간 0.024초

Dynamic response of curved Timoshenko beams resting on viscoelastic foundation

  • Calim, Faruk Firat
    • Structural Engineering and Mechanics
    • /
    • 제59권4호
    • /
    • pp.761-774
    • /
    • 2016
  • Curved beams' dynamic behavior on viscoelastic foundation is the subject of the current paper. By rewritten the Timoshenko beams theory formulation for the curved and twisted spatial rods, governing equations are obtained for the circular beams on viscoelastic foundation. Using the complementary functions method (CFM), in Laplace domain, an ordinary differential equation is solved and then those results are transformed to real space by Durbin's algorithm. Verification of the proposed method is illustrated by solving an example by variating foundation parameters.

The Centering of the Invariant Feature for the Unfocused Input Character using a Spherical Domain System

  • Seo, Choon-Weon
    • 조명전기설비학회논문지
    • /
    • 제29권9호
    • /
    • pp.14-22
    • /
    • 2015
  • TIn this paper, a centering method for an unfocused input character using the spherical domain system and the centering character to use the shift invariant feature for the recognition system is proposed. A system for recognition is implemented using the centroid method with coordinate average values, and the results of an above 78.14% average differential ratio for the character features were obtained. It is possible to extract the shift invariant feature using spherical transformation similar to the human eyeball. The proposed method, which is feature extraction using spherical coordinate transform and transformed extracted data, makes it possible to move the character to the center position of the input plane. Both digital and optical technologies are mixed using a spherical coordinate similar to the 3 dimensional human eyeball for the 2 dimensional plane format. In this paper, a centering character feature using the spherical domain is proposed for character recognition, and possibilities for the recognized possible character shape as well as calculating the differential ratio of the centered character using a centroid method are suggested.

Strong formulation finite element method for arbitrarily shaped laminated plates - Part I. Theoretical analysis

  • Fantuzzi, Nicholas;Tornabene, Francesco
    • Advances in aircraft and spacecraft science
    • /
    • 제1권2호
    • /
    • pp.125-143
    • /
    • 2014
  • This paper provides a new technique for solving the static analysis of arbitrarily shaped composite plates by using Strong Formulation Finite Element Method (SFEM). Several papers in literature by the authors have presented the proposed technique as an extension of the classic Generalized Differential Quadrature (GDQ) procedure. The present methodology joins the high accuracy of the strong formulation with the versatility of the well-known Finite Element Method (FEM). The continuity conditions among the elements is carried out by the compatibility or continuity conditions. The mapping technique is used to transform both the governing differential equations and the compatibility conditions between two adjacent sub-domains into the regular master element in the computational space. The numerical implementation of the global algebraic system obtained by the technique at issue is easy and straightforward. The main novelty of this paper is the application of the stress and strain recovery once the displacement parameters are evaluated. Computer investigations concerning a large number of composite plates have been carried out. SFEM results are compared with those presented in literature and a perfect agreement is observed.

A NEW METHOD FOR SOLVING THE NONLINEAR SECOND-ORDER BOUNDARY VALUE DIFFERENTIAL EQUATIONS

  • Effati, S.;Kamyad, A.V.;Farahi, M.H.
    • Journal of applied mathematics & informatics
    • /
    • 제7권1호
    • /
    • pp.183-193
    • /
    • 2000
  • In this paper we use measure theory to solve a wide range of second-order boundary value ordinary differential equations. First, we transform the problem to a first order system of ordinary differential equations(ODE's)and then define an optimization problem related to it. The new problem in modified into one consisting of the minimization of a linear functional over a set of Radon measures; the optimal measure is then approximated by a finite combination of atomic measures and the problem converted approximatly to a finite-dimensional linear programming problem. The solution to this problem is used to construct the approximate solution of the original problem. Finally we get the error functional E(we define in this paper) for the approximate solution of the ODE's problem.

유사변환기법을 이용한 Galerkin-FEM모델 (A Three-Dimensional Galerkin-FEM Model Using Similarity Transform Technique)

  • 강관수;소재귀;정경태
    • 한국해안해양공학회지
    • /
    • 제6권2호
    • /
    • pp.174-185
    • /
    • 1994
  • 본 논문에서는 수평유속의 연직방향 변화 결정에 유한요소기법(FEM)을 이용하고 수평방향으로는 유한차분기법을 사용하는 복합형 Galerkin 연직함수 전개모델에 새로이 유사변환기법을 추가한 3차원 해수유동모델의 개발에 대하여 기술하였다. 기본방정식의 연직방향으로 선형보간함수를 기저함수로 사용하여 Galerkin 기법을 적용하여 구성되는 행열 방정식에 유사변환기법을 적용, 각 절점의 유속값을 해석적으로 구하였다. 유사변환기법을 적용하여 최종 얻어지는 모우드 shape 방정식은 비연계된 방정식으로 구성되므로 역행렬 계산이 필요없어 계산시간이 절약된다. 또한 수립된 모델은 고유벡터행렬로 구성되는 모우드 shape가 도입됨으로써 모우드 shape 몇개만 사용하여도 거의 수렴된 값을 얻을 수 있어 계산시간을 절약할 수 있다. 등수심하 유한영역과 무한영역에서의 수치실험을 통하여 개발된 모델의 적용 가능성을 검증하였다.

  • PDF

화상회의를 위한 웨이브렛 변환 부호화 (Wavelet Transform Coding for Image Conference)

  • 김정일
    • 한국컴퓨터정보학회논문지
    • /
    • 제4권3호
    • /
    • pp.73-77
    • /
    • 1999
  • 본 논문은 화상회의를 위한 웨이브렛 변환 부호화에 관하여 연구한 것이다. 먼저, 원영상을 웨이브렛 변환계수의 대역별 특성을 이용하여 다차원의 계층적 피라미드 영상으로 구성하고. 이웃된 프레임 간의 움직임 정보를 구하였다. 그리고. 구해진 움직임 정보를 이용하여 기준 프레임 영상과 상관관계가 적은 프레임 영상에서는 화질을 보장하고, 상관관계가 많은 프레임 영상에서는 전체 동영상의 비트율을 보장하는 픽쳐 셋 필터를 제안하였다. 실험 결과 제안한 방법은 기존의 전영역 탐색 블럭 정합 알고리즘과 차영상 알고리즘에 비해 좋은 성능을 나타냄을 확인하였다.

Free and transient responses of linear complex stiffness system by Hilbert transform and convolution integral

  • Bae, S.H.;Cho, J.R.;Jeong, W.B.
    • Smart Structures and Systems
    • /
    • 제17권5호
    • /
    • pp.753-771
    • /
    • 2016
  • This paper addresses the free and transient responses of a SDOF linear complex stiffness system by making use of the Hilbert transform and the convolution integral. Because the second-order differential equation of motion having the complex stiffness give rise to the conjugate complex eigen values, its time-domain analysis using the standard time integration scheme suffers from the numerical instability and divergence. In order to overcome this problem, the transient response of the linear complex stiffness system is obtained by the convolution integral of a green function which corresponds to the unit-impulse free vibration response of the complex system. The damped free vibration of the complex system is theoretically derived by making use of the state-space formulation and the Hilbert transform. The convolution integral is implemented by piecewise-linearly interpolating the external force and by superimposing the transient responses of discretized piecewise impulse forces. The numerical experiments are carried out to verify the proposed time-domain analysis method, and the correlation between the real and imaginary parts in the free and transient responses is also investigated.

유사변환기법을 이용한 3차원 모델의 개발 (Developing a Three-dimensional Spectral Model Using Similarity Transform Technique)

  • 강관수;소재귀;정경태;선우중호
    • 한국해안해양공학회지
    • /
    • 제5권2호
    • /
    • pp.107-120
    • /
    • 1993
  • 본 논문은 유사변환기법을 이용한 새로운 3차원 연직 모우드 전개 모델의 개발에 대하여 기술한다. 기본방정식을 External 모우드와 Internal 모우드로 분리시킨 다음 Internal 모우드식에 Galerkin 방법을 적용하고 구성되는 행열방정식에 유사변환기법을 적용, 기저함수의 계수 값을 구하였다. 최종 얻어지는 기저함수의 계수 값은 마찰장을 제외하고는 비연계되어 시간 간격의 제약을 거의 받지않고 연직 구조를 구할 수 있기 때문에 경제성면에서 탁월하다. 수립된 모델은 어떤 기저함수라도 적용 가능하나 현 단계에서는 Chebyshev 다항식함수가 사용되었으며, 바람응력은 일정한 것으로 가정하였다. 모델 테스트로서 정상상태의 균일한 바람응력이 가해지는 장방형 Basin에 적용하여 모델의 적용 가능성을 검증하였다.

  • PDF

웨이볼릿 기반의 차분전력분석 기법 제안 (A Proposal of Wavelet-based Differential Power Analysis Method)

  • 류정춘;한동국;김성경;김희석;김태현;이상진
    • 정보보호학회논문지
    • /
    • 제19권3호
    • /
    • pp.27-35
    • /
    • 2009
  • 수집신호의 통계적 특성을 기반으로 하는 차분전력분석 (Differential Power Analysis, DPA) 방법은 암호시스템의 키를 해독하는 데 아주 효과적인 방법으로 알려져 있다. 그러나 이 방법은 수집신호의 시간적인 동기와 잡음에 따라 공격 성능에 상당한 영향을 받는다. 본 논문에서는 DPA에서 시간적인 동기와 잡음에 의한 영향을 동시에 효과적으로 극복하는 웨이블릿(Wavelet) 기반의 신호처리 방법을 제안한다. 제안된 방법의 성능은 DES 연산중인 마이크로 컨트롤러 칩의 전력소비 신호를 이용해서 측정한다. 실험을 통해 제안된 웨이블릿 기반의 전처리 시스템의 성능은 키 해독에 필요한 필요 평문의 수가 기존의 방법들이 필요로 하는 25%의 평문의 수로도 충분함을 보여주고 있다.

지능형 자동차의 적응형 제어를 위한 차선인식 (Lane Detection for Adaptive Control of Autonomous Vehicle)

  • 김현구;주영환;이종훈;박용완;정호열
    • 대한임베디드공학회논문지
    • /
    • 제4권4호
    • /
    • pp.180-189
    • /
    • 2009
  • Currently, most automobile companies are interested in research on intelligent autonomous vehicle. They are mainly focused on driver's intelligent assistant and driver replacement. In order to develop an autonomous vehicle, lateral and longitudinal control is necessary. This paper presents a lateral and longitudinal control system for autonomous vehicle that has only mono-vision camera. For lane detection, we present a new lane detection algorithm using clothoid parabolic road model. The proposed algorithm in compared with three other methods such as virtual line method, gradient method and hough transform method, in terms of lane detection ratio. For adaptive control, we apply a vanishing point estimation to fuzzy control. In order to improve handling and stability of the vehicle, the modeling errors between steering angle and predicted vanishing point are controlled to be minimized. So, we established a fuzzy rule of membership functions of inputs (vanishing point and differential vanishing point) and output (steering angle). For simulation, we developed 1/8 size robot (equipped with mono-vision system) of the actual vehicle and tested it in the athletics track of 400 meter. Through the test, we prove that our proposed method outperforms 98 % in terms of detection rate in normal condition. Compared with virtual line method, gradient method and hough transform method, our method also has good performance in the case of clear, fog and rain weather.

  • PDF