• 제목/요약/키워드: Convolution integral

검색결과 159건 처리시간 0.021초

다방향 불규칙파중의 인장계류식 해양구조물의 시간영역 해석 (Time Domain Analysis of a Tension Leg Platform in Multi-Directional Irregular Waves)

  • 이창호;김철현
    • 한국해양공학회지
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    • 제20권5호
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    • pp.36-41
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    • 2006
  • The main object of this study is to develop an accurate and convenient method for the response analysis of offshore structures in real sea states. A numerical procedure is described for predicting the motion responses and tension variations of the ISSC TLP in multi-directional irregular waves. The developed numerical approach in the frequency domain is based on acombination of the three dimensional source distribution method, the dynamic response analysis method, and the spectral analysis method. Frequency domain analysis in the multi-directional irregular waves is expanded to a time domain analysis by using a convolution integral after obtaining the impulse response by Fourier transformation. The results of the comparison between responses in the frequency and time domain confirmed the validity of the proposed approach.

TRANSLATION THEOREMS FOR THE ANALYTIC FOURIER-FEYNMAN TRANSFORM ASSOCIATED WITH GAUSSIAN PATHS ON WIENER SPACE

  • Chang, Seung Jun;Choi, Jae Gil
    • 대한수학회지
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    • 제55권1호
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    • pp.147-160
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    • 2018
  • In this article, we establish translation theorems for the analytic Fourier-Feynman transform of functionals in non-stationary Gaussian processes on Wiener space. We then proceed to show that these general translation theorems can be applied to two well-known classes of functionals; namely, the Banach algebra S introduced by Cameron and Storvick, and the space ${\mathcal{B}}^{(P)}_{\mathcal{A}}$ consisting of functionals of the form $F(x)=f({\langle}{\alpha}_1,x{\rangle},{\ldots},{\langle}{\alpha}_n,x{\rangle})$, where ${\langle}{\alpha},x{\rangle}$ denotes the Paley-Wiener-Zygmund stochastic integral ${\int_{0}^{T}}{\alpha}(t)dx(t)$.

A New FFT Technique for the Analysis of Contact Pressure and Subsurface Stress in a Semi-Infinite Solid

  • Cho, Yong-Joo;Koo, Young-Pil;Kim, Tae-Wan
    • Journal of Mechanical Science and Technology
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    • 제14권3호
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    • pp.331-337
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    • 2000
  • A numerical procedure for contact analysis and calculating subsurface stress was developed. The procedure takes the advantage of signal processing technique in frequency domain to achieve shorter computing time. Boussinesq's equation was adopted as a response function in contact analysis. The validity of this procedure was proved by comparing the numerical results with the exact solutions. The fastness of this procedure was also compared with other algorithm.

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Solution of the two-dimensional scalar wave equation by the time-domain boundary element method: Lagrange truncation strategy in time integration

  • Carrer, J.A.M.;Mansur, W.J.
    • Structural Engineering and Mechanics
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    • 제23권3호
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    • pp.263-278
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    • 2006
  • This work presents a time-truncation scheme, based on the Lagrange interpolation polynomial, for the solution of the two-dimensional scalar wave problem by the time-domain boundary element method. The aim is to reduce the number of stored matrices, due to the convolution integral performed from the initial time to the current time, and to keep a compromise between computational economy and efficiency and the numerical accuracy. In order to verify the accuracy of the proposed formulation, three examples are presented and discussed at the end of the article.

Lp-SOBOLEV REGULARITY FOR INTEGRAL OPERATORS OVER CERTAIN HYPERSURFACES

  • Heo, Yaryong;Hong, Sunggeum;Yang, Chan Woo
    • 대한수학회보
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    • 제51권4호
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    • pp.965-978
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    • 2014
  • In this paper we establish sharp $L^p$-regularity estimates for averaging operators with convolution kernel associated to hypersurfaces in $\mathbb{R}^d(d{\geq}2)$ of the form $y{\mapsto}(y,{\gamma}(y))$ where $y{\in}\mathbb{R}^{d-1}$ and ${\gamma}(y)={\sum}^{d-1}_{i=1}{\pm}{\mid}y_i{\mid}^{m_i}$ with $2{\leq}m_1{\leq}{\cdots}{\leq}m_{d-1}$.

Monte Carlo Simulation을 이용한 각 부하지점별 확률론적 발전비산정 (Nodal Probabilistic Production Cost Evaluation using Monte Carlo Simulation Methods)

  • 문승필;김홍식;최재석
    • 대한전기학회논문지:전력기술부문A
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    • 제51권9호
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    • pp.425-432
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    • 2002
  • This Paper illustrates a method for evaluating nodal probabilistic production cost using the CMELDC. A new method for constructing CMELDC(CoMposite Power System Equivalent Load Duration Curve) has been developed by authors. The CMELDC can be obtained by convolution integral processing between the probability distribution functions of the fictitious generators outage capacity and the load duration curves at each load point. In general, if complex operating conditions are involved and/or the number of severe events is relatively large, Monte Carlo methods are more efficient. Because of that reason, Monte Carlo Methods are applied for the construction of CMELDC in this study. And IEEE-RTS 24 buses model is used as our case study with satisfactory results.

과도 선형 동탄성 문제의 시간영역 유한요소해석 (A Time-Domain Finite Element Formulation for Transient Dynamic Linear Elasticity)

  • 심우진;이성희
    • 대한기계학회논문집A
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    • 제25권4호
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    • pp.574-581
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    • 2001
  • Transient linear elastodynamic problems are numerically analyzed in a time-domain by the Finite Element Method, for which the variational formulation based upon the equations of motion in convolution integral is newly derived. This formulation is implicit and does not include the time derivative terms so that the computation procedure is simple and less assumptions are required comparing to the conventional time-domain dynamic numerical algorithms, being able to get the improved numerical accuracy and stability. That formulation is expanded using the semi-discrete approximation to obtain the finite element equations. In the temporal approximation, the time axis is divided equally and constant and linear time variations are assumed in those intervals. It is found that unconditionally stable numerical results are obtained in case of the constant time variation. Some numerical examples are given to show the versatility of the presented formulation.

Nonlocal finite element modeling of the tribological behavior of nano-structured materials

  • Mahmoud, F.F.;Meletis, E.I.
    • Interaction and multiscale mechanics
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    • 제3권3호
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    • pp.267-276
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    • 2010
  • A nonlocal finite element model is developed for solving elasto-static frictional contact problems of nanostructures and nanoscale devices. A two dimensional Eringen-type nonlocal elasticity model is adopted. The material is characterized by a stress-strain constitutive relation of a convolution integral form whose kernel is capable to take into account both the diffusion process of nonlocal elasticity and the scale ratio effects. The incremental convex programming procedure is exploited as a solver. Two examples of different nature are presented, the first one presents the behavior of a nanoscale contacting system and the second example discusses the nano-indentation problem.

복합전력계통에서의 유효부하지속곡선 작성법의 개발 (Development of the ELDC Construction of Composite Power System)

  • 최재석;문승필;조종만;강진중
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1997년도 추계학술대회 논문집 학회본부
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    • pp.171-173
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    • 1997
  • This study proposes a method for evaluating composite power system effective load duration curve(CMELDC) al load points. The concept of ELDC in power system planning is very useful and important in HLI as well as HLII. Effective load duration curve of composite power system can be obtained from convolution integral processing or both probability function of unarrival power and load duration curve at load points. The characteristics and effectiveness of this methodology arc illustrated by case studyings of simple system.

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동기화한 이산화법을 이용한 능동소음제어의 성능향상에 관한 연구 (A Study on Performance Improvement of Active Noise Control Using Synchronous Sampling Method)

  • 김흥섭;오재응;신준
    • 대한기계학회논문집
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    • 제18권10호
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    • pp.2523-2532
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    • 1994
  • In this paper, active noise control is performed in a duct system using the periodic pulse train which corresponds to the periodic component of noise source as a reference signal. Control algorithm applied in this study is possible to eliminate the acoustic feedback which occurs in the conventional filtered-x and filtered-u LMS algorithm by using electrical reference signal and has the fast adaptation speed with low filter orders by using synchronous sampling method is discussed via computer simulations and experiments of case studies such as frequency modulation, amplitude modulation and frequency differency between source signal and reference signal.