• 제목/요약/키워드: Nonlinear Superposition

검색결과 46건 처리시간 0.02초

Nonlinear Tidal Characteristics along the Uldolmok Waterway off the Southwestern Tip of the Korean Peninsula

  • Kang, Sok-Kuh;Yum, Ki-Dai;So, Jae-Kwi;Song, Won-Oh
    • Ocean and Polar Research
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    • 제25권1호
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    • pp.89-106
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    • 2003
  • Analyses of tidal observations and a numerical model of the $M_2$ and $M_4$ tides in the Uldolmok waterway located at the southwestern tip of the Korean Peninsula are described. This waterway is well known fer its strong tidal flows of up to more than 10 knots at the narrowest part of the channel. Harmonic analysis of the observed water level at five tidal stations reveals dramatic changes in the amplitude and phase of the shallow water constituents at the station near the narrowest part, while survey results show a decreasing trend in local mean sea levels toward the narrow section. It was also observed that the amplitudes of semi-diurnal constituents, $M_2$ and $S_2$ are diminishing toward the narrowest part of the waterway. Two-dimensional numerical modeling shows that the $M_2$ energy flux is dominated by the component coming from the eastern boundary. The $M_2$ energy is inward from both open boundaries and is transported toward the narrow region of the channel, where it is frictionally dissipated or transferred to other constituents due to a strong non-linear advection effect. It is also shown that the $M_4$ generation is strong around the narrow region, and the abrupt decrease in the M4 amplitude in the region is due to a cancellation of the locally generated M4 with the component propagated from open boundaries. The superposition of both propagated and generated M4 contributions also explains the discontinuity of the M4 phase lag in the region. The tide-induced residual sea level change and the regeneration effect of the $M_2$ tide through interaction with $M_4$ are also examined.

잔류응력을 고려한 점용접이음재의 피로설계 (Fatigue Design of Spot Welded Lap Joint Considered Residual Stress)

  • 손일선;배동호;홍정균;이범노
    • 대한기계학회논문집A
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    • 제24권3호
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    • pp.743-751
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    • 2000
  • Because welding residual stress is formidable result in electric resistance spot welding process, and it detrimentally affect to fatigue crack initiation and growth at nugget edge of spot welded la p joints, it should be considered in fatigue analysis. Thus, accurate prediction of residual stress is very important. In this study, nonlinear finite element analysis on welding residual stress generated in process of the spot welding was conducted, and their results were compared with experimental data measured by X-ray diffraction method. By using their results, the maximum principal stress considered welding residual stress at nugget edge of the spot welded lap joint subjected to tension-shear load was calculated by superposition method. And, the $\Delta$P- $N_f$ relations obtained through fatigue, tests on the IB-type spot welded lap joints was systematically rearranged with the maximum principal stress considered welding residual stress. From the results, it was found th2at fatigue strength of the IB-type spot welded lap joints could be systematically and more reasonably rearranged by the maximum principal stress($\sigma$1max-res considered welding residual stress at nugget edge of the spot welding point.

반무한 다중 구조계의 비선형 유한요소 - 경계요소 해석 (Analysis of Multi-Layered Structural Systems Using Nonlinear Finite Elements-Boundary Elements)

  • 김문겸;장정범;이상도;황학주
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1992년도 봄 학술발표회 논문집
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    • pp.58-64
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    • 1992
  • It is usual that underground structures are constructed within multi-layered medium. In this paper, an efficient numerical model ling of multi-layered structural systems is studied using coupled analysis of finite elements and boundary elements. The finite elements are applied to the area in which the material nonlinearity is dominated, and the boundary elements are applied to the far field area where the nonlinearity is relatively weak. In the boundary element model 1 ins of the multi-layered medium, fundamental solutions are restricted. Thus, methods which can utilize existing Kelvin and Melan solution are sought for the interior multi-layered domain problem and semi infinite domain problem. Interior domain problem which has piecewise homogeneous layers is analyzed using boundary elements with Kelvin solution; by discretizing each homogeneous subregion and applying compatibility and equilibrium conditions between interfaces. Semi-infinite domain problem is analyzed using boundary elements with Melan solution, by superposing unit stiffness matrices which are obtained for each layer by enemy method. Each methodology is verified by comparing its results which the results from the finite element analysis and it is concluded that coupled analysis using boundary elements and finite elements can be reasonable and efficient if the superposition technique is applied for the multi-layered semi-infinite domain problems.

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통계적 접근법에 의한 수압파쇄 자료해석용 전산 프로그램 개발 및 적용 (Developement and application of Statistical Hydrofracturing Data Processing Program)

  • 류동우;최성웅;이희근
    • 터널과지하공간
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    • 제6권3호
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    • pp.209-222
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    • 1996
  • Shut-in pressure, reopenting pressure and fracture orientation are very important parameters to be evaluated precisely in in-situ stress measurement by hydraulic fracturing. Graphical methods on pressure-time curves have been conventionally used, even though these are seriously dependent on subjectivity of interpreters. So there have been many demands on new method to objectivity in determining parameters. We have developed integrated hydrofracturing data processing program (HYDFRAC), based on nonlinear regression analysis and can be invoked under the Window graphical user interface. HYDFRAC consiste of three routines, that is shut-in pressure routine, reopening pressure routine, and fracture delineation routine. Each of routines include independent modules according to parameter determination methods. Its application to field tests ensured both objectivity and facility in determining of hydraulic fracturing parameters. Determining shut-in pressures at each pressurization cycles, we adopted the exponential pressure-decay method(EPD method), the bilinear pressure-decay-rate method (PDR method), and the tangent intersection method in order to find the pressurization-cyclic tendency of shut-in pressures. The estimated pressure by PDR method exists in the range of the upper and lower values by EPD method, and lies near to the upper value more than the lower. Being the pressurization cycle increased, the range of upper and lower limits come to be stabilized gradually. By graphical superposition method and bilinear pressure-accumulated volume method, reopening pressures were determined. Vertical and inclined fracture attitudes were determined by applying the directional statistics and sinusoidal curve fitting, respectively. The results of evaluation of hydrofracturing parameters showed that statistical methods could enhance the objectivity better than graphical methods.

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Dynamic characteristics of elastic beams subjected to traffic loads

  • Tang, Chia-Chih;Wang, Yang-Cheng
    • Structural Engineering and Mechanics
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    • 제13권2호
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    • pp.211-230
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    • 2002
  • The objective of this study is to investigate the dynamic behavior of elastic beams subjected to moving loads. Although analytical methods are available, they have limitations with respect to complicated structures. The use of computer technology in recent years is an effective way to solve the problem; thus using the latest technology this study establishes a finite-element solution procedure to investigate dynamic behaviors of a typical elastic beam having a set of constant geometric properties and various span lengths. Both the dead load of the beam and traffic load are applied in which the traffic load is considered a concentrated moving force with various traveling passage speeds on the beam. Dynamic behaviors including deflection, shear, and bending moment due to moving loads are obtained by both analytical and finite element methods; for simple structures, they have an excellent agreement. The numerical results show that based on analytical methods the fundamental mode is good enough to estimate the dynamic deflection along the beam, but is not sufficient to simulate the total response of the shear force or the bending moment. The linear dynamic behavior of the elastic beams subjected to multiple exciting loads can easily be found by linear superposition, and the geometric nonlinear results caused by large deformation and axial force of the beam are always underestimated with only a few exceptions which are indicated. In order to make the results useful, they have been nondimensionalized and presented in graphical form.

Applied Koopmanistic interpretation of subcritical prism wake physics using the dynamic mode decomposition

  • Cruz Y. Li;Xisheng Lin;Gang Hu;Lei Zhou;Tim K.T. Tse;Yunfei Fu
    • Wind and Structures
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    • 제37권3호
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    • pp.191-209
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    • 2023
  • This work investigates the subcritical free-shear prism wake at Re=22,000 by the Koopman analysis using the Dynamic Mode Decomposition (DMD) algorithm. The Koopman model linearized nonlinearities in the stochastic, homogeneous anisotropic turbulent wake, generating temporally orthogonal eigen tuples that carry meaningful, coherent structures. Phenomenological analysis of dominant modes revealed their physical interpretations: Mode 1 renders the mean-field dynamics, Modes 2 describes the roll-up of the Strouhal vortex, Mode 3 describes the Bloor-Gerrard vortex resulting from the Kelvin-Helmholtz instability inside shear layers, its superposition onto the Strouhal vortex, and the concurrent flow entrainment, Modes 6 and 10 describe the low-frequency shedding of turbulent separation bubbles (TSBs) and turbulence production, respectively, which contribute to the beating phenomenon in the lift time history and the flapping motion of shear layers, Modes 4, 5, 7, 8, and 9 are the relatively trivial harmonic excitations. This work demonstrates the Koopman analysis' ability to provide insights into free-shear flows. Its success in subcritical turbulence also serves as an excellent reference for applications in other nonlinear, stochastic systems.

트랜스듀서 배열을 이용한 파라메트릭 배열 신호 생성 시스템 (Parametric Array Signal Generating System using Transducer Array)

  • 이재일;이종현;배진호;팽동국;최미흥;김원호
    • 한국음향학회지
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    • 제32권4호
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    • pp.287-293
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    • 2013
  • 본 논문에서는 20 kHz와 32.5 kHz에 공진 주파수를 갖는 다공진 트랜스듀서를 $3{\times}16$ 배열로 구성하여 파라메트릭 배열 신호를 생성하는 시스템을 제안한다. 배열 트랜스듀서를 구동하기 위해 LM1875증폭기 소자를 이용하여 16채널 다중 증폭기를 제작하였고, 임의의 파형 생성 및 분석을 하기 위해 PXI 시스템과 LabView 8.6을 이용한 시스템이 구축되었다. 구축된 시스템을 이용하여 거리에 따른 음압레벨 변화와 빔 패턴을 측정하여 파라메트릭 현상을 확인하였다. 이론적으로 계산된 차 주파수의 감쇠거리와 회절거리는 각각 15.51 m와 1.9332 m이며, 음압레벨 실험결과 회절거리 이전 근거리 음장에서 차 주파수의 음압이 누적되어 증가되는 현상을 확인 하였다. 실험을 통해 측정된 차 주파수의 빔 패턴은 2개의 1차 주파수가 중첩된 빔 패턴과 유사함을 확인하여 고지향 파라메트릭 신호가 생성됨을 확인하였다.

트러스 이론을 이용한 철근 콘크리트 전단벽의 비선형 거동해석 (Nonlinear Behavior Analysis of RC Shear Wall Using Truss Theory)

  • 서수연;김정식;최윤철;이리형
    • 한국구조물진단유지관리공학회 논문집
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    • 제9권3호
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    • pp.213-220
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    • 2005
  • 최근 전단벽의 변형성능을 증명하기 위한 관심이 성능 설계법을 위한 적당한 자료들을 얻기 위해서 증대되고 있다. 본 연구에서는 전단벽의 변형 성능을 평가할수 있는 방법을 제시하고자 한다. 전단벽의 변위는 전단과 휨 변형의 조합된 형태로 표현될 수 있다. 수정 변환각 트러스 모델과 휨이론을 이용하여 전단과 휨변형을 산정하였으며, 또한 축력과 많은 수직 및 수평보강근의 영향을 고려할 수 있는 트러스 모델을 구축하였다. 본 연구에서 제안한 방법의 정확성을 평가하기 위하여 기 수행된 7개의 실험결과를 해석하고 실험결과와 해석결과를 비교하였다. 비교결과, 본 연구에서 제안한 방법을 사용함으로써 전단벽의 변형성능을 적절히 예측할 수 있는 것으로 나타났다. 그러나 플랜지벽이 있는 경우에는 강도와 강성의 측면에서 플랜지벽의 영향을 과대평가하며 변위성능의 측면에서는 과소평가하는 것으로 나타났다.

인공 신경망을 이용한 광대역 과정의 피로 손상 모델 개발 (Development of a Fatigue Damage Model of Wideband Process using an Artificial Neural Network)

  • 김호성;안인규;김유일
    • 대한조선학회논문집
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    • 제52권1호
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    • pp.88-95
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    • 2015
  • For the frequency-domain spectral fatigue analysis, the probability density function of stress range needs to be estimated based on the stress spectrum only, which is a frequency domain representation of the response. The probability distribution of the stress range of the narrow-band spectrum is known to follow the Rayleigh distribution, however the PDF of wide-band spectrum is difficult to define with clarity due to the complicated fluctuation pattern of spectrum. In this paper, efforts have been made to figure out the links between the probability density function of stress range to the structural response of wide-band Gaussian random process. An artificial neural network scheme, known as one of the most powerful system identification methods, was used to identify the multivariate functional relationship between the idealized wide-band spectrums and resulting probability density functions. To achieve this, the spectrums were idealized as a superposition of two triangles with arbitrary location, height and width, targeting to comprise wide-band spectrum, and the probability density functions were represented by the linear combination of equally spaced Gaussian basis functions. To train the network under supervision, varieties of different wide-band spectrums were assumed and the converged probability density function of the stress range was derived using the rainflow counting method and all these data sets were fed into the three layer perceptron model. This nonlinear least square problem was solved using Levenberg-Marquardt algorithm with regularization term included. It was proven that the network trained using the given data set could reproduce the probability density function of arbitrary wide-band spectrum of two triangles with great success.

간섭과 잡음이 존재하는 Hard-Limiting 위성채널상에서의 DS-BPSK신호의 오율특성 (Error Rate Performance of DS-BPSK Signal transmitted through a Hard-Limiting Satellite Channel in the presence of Interference and Noise)

  • 신동일;조성준
    • 한국통신학회논문지
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    • 제11권1호
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    • pp.64-72
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    • 1986
  • 동일채널간섭(cochannel interference)과 다운링크(downlink) 가우스성잡음이 존재하는 환경하에서 비선형 위성 트랜스폰더(transponder)를 통과하는 DS-BPSK(Direct Sequence Binary Phase Shift Keying)신호의 오율식을 구했다. 이 때 위성 트랜스폰더의 입력으로는 DS-BPSK신호와 스펙트럼 확산된 광대역의 동일채널간섭신호와의 합성파를 가정하였다. 구해진 오율식에 의한 계산결과는 반송파 대 간섭파 전력 비(CIR), 다운링크 신호 대 잡음 전력 비(downlink SNR) 그리고 처리이득(process gain)을 파라미터로 하여 그래프로 나타내고 분석했다. 그 결과, DS-BPSK신호와 간섭신호가 하드 리미터(hard limiter)특성의 트랜스폰더를 통과하게 되면 수신기의 복조단에서는 처리이득을 증가시키더라도 개선되어 지지 않는 협대역의 상호 변조적 성분이 생긴다는 것을 알 수 있었다. 오율면에서는 CIR이 낮을 경우(약 10dB이하) 에는 CIR의 증가에 따른 오율 개선도가 현격하지만 약 20dB이상의 경우에서는 별다른 개선 효과가 없었다. 또한 처리이득의 경우는 일정한 오율값에 대해 처리이득을 약 10배 증가시키므로써 약 10dB 정도의 다운링크 SNR개선을 얻을 수 있었다.

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