• 제목/요약/키워드: nonlinear difference scheme

검색결과 84건 처리시간 0.023초

Coupled Finite Element Analysis for Semi-implicit Linear and Fully-implicit Nonlinear Scheme in Partially Saturated Porous Medium

  • Kim, Jae-Hong;Regueiro, Richard A.
    • 토지주택연구
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    • 제1권1호
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    • pp.59-65
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    • 2010
  • The paper presents a comparison between a semi-implicit time integration linear finite element implementation and fully-implicit nonlinear Newton-Raphson finite element implementation of a triphasic small strain mixture formulation of an elastic partially saturated porous medium. The pore air phase pressure pa is assumed atmospheric, i.e., $p_a$ = 0, although the formulation and implementation are general to handle increase in pore air pressure as a result of loading, if needed. The solid skeleton phase is assumed linear isotropic elastic and partially saturated 'consolidation' in the presence of surface infiltration and traction is simulated. The verification of the implementation against an analytical solution for partially saturated pore water flow (no deformation) and comparison between the two implementations is presented and the important of the porosity-dependent nature of the partially saturated permeability is assessed on comparison with a commercial code for the partially saturated flow with deformation. As a result, the response of partially saturated permeability subjected to the porosity influences on the saturation of a soil, and the different behaviors of the partially saturated soil between staggered and monolithic coupled programs is worth of attention because the negative pore water pressure in the partially saturated soil depends on the difference.

차량 성능 및 안정성 향상을 위한 $H_{\infty}$ 요 모멘트 강인제어 ($H_{\infty}$ Robust Yaw-Moment Control Based on Brake Switching for the Enhancement of Vehicle Performance and Stability)

  • 안우성;박종현
    • 대한기계학회논문집A
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    • 제24권8호
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    • pp.1899-1909
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    • 2000
  • This paper proposes a new $H_{\infty}$ yaw moment control scheme using brake torque switching for improving vehicle performance and stability especially in high speed driving. In the scheme, one wheel is selected, depending on the vehicle states, at which a brake torque for control is applied. Steering angles are modeled as a disturbance to the system and the $H_{\infty}$ controller is designed to minimize the difference between the performance of the vehicle and that of the desired model. Its performance robustness as well as stability robustness to system parameter variations is assured through ${\mu}$-analysis. Various simulations with a nonlinear 8-DOF vehicle model show that proposed controller enhances the vehicle performance and stability under disturbances and parameter variations as well as under the normal driving condition.

Analyzing consolidation data to obtain elastic viscoplastic parameters of clay

  • Le, Thu M.;Fatahi, Behzad;Disfani, Mahdi;Khabbaz, Hadi
    • Geomechanics and Engineering
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    • 제8권4호
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    • pp.559-594
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    • 2015
  • A nonlinear creep function incorporated into the elastic visco-plastic model may describe the long-term soil deformation more accurately. However, by applying the conventional procedure, there are challenges to determine the model parameters due to limitation of suitable data points. This paper presents a numerical solution to obtain several parameters simultaneously for a nonlinear elastic visco-plastic (EVP) model using the available consolidation data. The finite difference scheme using the Crank-Nicolson procedure is applied to solve a set of coupled partial differential equations of the time dependent strain and pore water pressure dissipation. The model parameters are determined by applying the algorithm of trust-region reflective optimisation in conjunction with the finite difference solution. The proposed method utilises all available consolidation data during dissipation of the excess pore water pressure to determine the required model parameters. Moreover, the reference time in the elastic visco-plastic model can readily be adopted as a unit of time; denoting creep is included in the numerical predictions explicitly from the very first time steps. In this paper, the settlement predictions of thick soft clay layers are presented and discussed to evaluate and compare the accuracy and reliability of the proposed method against the graphical procedure to obtain the model parameters. In addition, comparison of the available experimental results to the numerical predictions confirms the accuracy of the numerical procedure.

속도의 초기간 추정을 사용한 Navier-Stokes방정식 풀이 기법 (Solver for the Wavier-Stokes Equations by using Initial Guess Velocity)

  • 김영희;이성기
    • 한국정보과학회논문지:시스템및이론
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    • 제32권9호
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    • pp.445-456
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    • 2005
  • 본 논문은 물리적인 힘을 기반으로 유체의 흐름을 실시간으로 시뮬레이션하기 위하여 유체 의 흐름을 지배하는 Wavier-Stokes 방정식에 대한 빠르고 정확한 풀이 기법을 제안한다 본 논문에서는 Navier-Stokes 방정식에 있는 비선형 항의 속도에 대한 초기값을 Stokes 방정식의 해로써 추정한다. 주어진 비선형 미분방정식의 해에 근사하게 초기값을 추정함으로써 정확하고 안정적인 풀이 기법을 만들 수 있었다. 또한 유한차분법(finite difference method)의 암시적(implicit) 방법 중에서 방대한 계산량을 피할 수 있는 ADI(Alternating Direction Implicit) 방법을 사용함으로써 큰 시간 간격(time-step)에 대해서 시스템이 안정적이며 계산속도 또한 빠르다. 실험 결과들은 특히 연기, 구름과 같이 큰 레이놀드 수(Reynolds number)를 가지는 유체에 대해서 탁월한 성능을 보여주었다.

전방십자인대 재건수술 환자와 정상인의 보행 연구 (Gait Study on the Normal and ACL Deficient Patients After Ligament Reconstruction Surgery Using Chaos Analysis Method)

  • 고재훈;문병영;서정탁;손권
    • 대한기계학회논문집A
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    • 제30권4호
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    • pp.435-441
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    • 2006
  • The anterior cruciate ligament(ACL) is an important stabilizer of knee joint. The ACL injury of knee is common and a serious ACL injury leads to ligament reconstruction surgery. Gait analysis is essential to identify knee condition of patients who display abnormal gait. The purpose of this study is to evaluate and classify knee condition of ACL deficient patients using a nonlinear dynamic method. The nonlinear method focuses on understanding how variations in the gait pattern change over time. The experiments were carried out for 17 subjects(l2 healthy subjects and five subjects with unilateral deficiency) walking on a motorized treadmill for 100 seconds. Three dimensional kinematics of the lower extremity were collected by using four cameras and KWON 3D motion analysis system. The largest Lyapunov exponent calculated from knee joint flexion-extension time series was used to quantify knee stability. The results revealed the difference between healthy subjects and patients. The deficient knee was significantly unstable compared with the contralateral knee. This study suggests an evaluation scheme of the severity of injury and the level of recovery. The proposed Lyapunov exponent can be used in rehabilitation and diagnosis of recoverable patients.

직관내를 전파하는 압축파의 감쇠와 변형에 관한 수치해석적 연구 (Numerical study on attenuation and distortion of compression wave propagation into a straight tube)

  • 김희동
    • 대한기계학회논문집B
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    • 제20권7호
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    • pp.2315-2325
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    • 1996
  • A compression wave is attenuated or distorted as it propagates in a tube. The present study investigated the propagation characteristics of the compression waves which are generated by a train in a high-speed railway tunnel. A Total Variation Diminishing (TVD) difference scheme was applied to one-dimensional, unsteady viscous compressible flow. The numerical calculation involved the effects of wall friction, heat transfer and energy loss due to the friction heat in the boundary layer behind the propagating compression wave, and compared with the measurement results of a shock tube and a real tunnel. The present results show that attenuation of the compression wave in turbulent boundary layer is stronger than in laminar boundary layer, but nonlinear effect of the compression wave is greater in the laminar boundary layer. The energy loss due to the frictional heat had not influence on attenuation and distortion of the propagating compression waves.

내파성 가리비 연승식 양식시설에 관한 연구 - 케이블-부이-중량물 계류시스템의 주파수 영역 해석 - (A Study on Longline Type Aquaculture Facilities in the Open Sea : Frequency Domain Analysis of Cable-Buoy-Weight Mooring System)

  • 신현경;김덕수
    • 대한조선학회논문집
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    • 제33권4호
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    • pp.162-174
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    • 1996
  • 내파성 연승식 양식시설은 케이블-부이-중량물 계류시스템으로 이루어졌다. 양식시설의 최적설계를 위해서는 계류선과 부이나 중량물 연결점에서 장력등의 추정이 필요하다. 그러나 계류선의 비선형적인 거동과 파 해류 등의 영향은 해석을 어렵게 한다. 본 논문에서는 여러 거지 부이-중량물을 갖는 케이블-부이-중량물 계류시스템에 대한 파라메트릭 연구를 통하여 동장력 변화 및 거동 변화 등을 알아보았다. 고유진동수 해석을 위하여 유한차분법을 도입하였으며, 비선형 유체항력은 선형화 되었다.

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Electrokinetic flow and electroviscous effect in a charged slit-like microfluidic channel with nonlinear Poisson-Boltzmann field

  • Chun, Myung-Suk;Kwak, Hyun-Wook
    • Korea-Australia Rheology Journal
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    • 제15권2호
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    • pp.83-90
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    • 2003
  • In cases of the microfluidic channel, the electrokinetic influence on the transport behavior can be found. The externally applied body force originated from the electrostatic interaction between the nonlinear Poisson-Boltzmann field and the flow-induced electrical field is applied in the equation of motion. The electrostatic potential profile is computed a priori by applying the finite difference scheme, and an analytical solution to the Navier-Stokes equation of motion for slit-like microchannel is obtained via the Green's function. An explicit analytical expression for the induced electrokinetic potential is derived as functions of relevant physicochemical parameters. The effects of the electric double layer, the zeta potential of the solid surface, and the charge condition of the channel wall on the velocity profile as well as the electroviscous behavior are examined. With increases in either electric double layer or zeta potential, the average fluid velocity in the channel of same charge is entirely reduced, whereas the electroviscous effect becomes stronger. We observed an opposite behavior in the channel of opposite charge, where the attractive electrostatic interactions are presented.

주입 압력파의 웨이블릿 일관성 분석을 사용한 저수조-관로-밸브 시스템에서의 누수탐지모형 연구 (A scheme of leak detection model in a reservoir pipeline valve system using wavelet coherence analysis of injected pressure wave)

  • 고동원;이정섭;김진원;김상현
    • 상하수도학회지
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    • 제35권1호
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    • pp.15-25
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    • 2021
  • In this study, a method of leakage detection was proposed to locate leak position for a reservoir pipeline valve system using wavelet coherence analysis for an injected pressure wave. An unsteady flow analyzer handled nonlinear valve maneuver and corresponding experimental result were compared. Time series of pressure head were analyzed through wavelet coherence analysis both for no leak and leak conditions. The leak information can be obtained through either time domain reflectometry or the difference in wavelet coherence level, which provide predictions in terms of leak location. The reconstructed pressure signal facilitates the identification of leak presence comparing with existing wavelet coherence analysis.

STRESS ANALYSIS WITH NONLINEAR MODELLING OF THE LOAD TRANSFER CHARACTERISTICS ACROSS THE OSSEOINTEGRATED INTERFACES OF DENTAL IMPLANT

  • Lee Seung-Hwan;Jo Kwang-Hun
    • 대한치과보철학회지
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    • 제42권3호
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    • pp.267-279
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    • 2004
  • A modelling scheme for the stress analysis taking into account load transfer characteristics of the osseointegrated interfaces between dental implant and surrounding alveolar bone was investigated. Main aim was to develop a more realistic simulation methodology for the load transfer at the interfaces than the prefect bonding assumption at the interfaces which might end up the reduced level in the stress result. In the present study, characteristics of osseointegrated bone/implant interfaces was modelled with material nonlinearity assumption. Bones at the interface were given different stiffness properties as functions of stresses. Six different models, i.e. tens0, tens20, tens40, tens60, tens80, and tens100 of which the tensile moduli of the bones forming the bone/implant interfaces were specified from 0, 20, 40, 60, 80, and 100 percents, respectively, of the compressive modulus were analysed. Comparisons between each model were made to study the effect of the tensile load carrying abilities, i.e. the effectivity of load transfer, of interfacial bones on the stress distribution. Results of the present study showed significant differences in the bone stresses across the interfaces. The peak stresses, however, were virtually the same regardless of the difference in the effectivity of load transfer, indicating the conventional linear modelling scheme which assumes perfect bonding at the bone/implant interface can be used without causing significant errors in the stress levels.