• 제목/요약/키워드: fourth order numerical method

검색결과 102건 처리시간 0.022초

Analytical, numerical and experimental investigation of low velocity impact response of laminated composite sandwich plates using extended high order sandwich panel theory

  • Salami, Sattar Jedari;Dariushi, Soheil
    • Structural Engineering and Mechanics
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    • 제68권3호
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    • pp.325-334
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    • 2018
  • The Nonlinear dynamic response of a sandwich plate subjected to the low velocity impact is theoretically and experimentally investigated. The Hertz law between the impactor and the plate is taken into account. Using the Extended High Order Sandwich Panel Theory (EHSAPT) and the Ritz energy method, the governing equations are derived. The skins follow the Third order shear deformation theory (TSDT) that has hitherto not reported in conventional EHSAPT. Besides, the three dimensional elasticity is used for the core. The nonlinear Von Karman relations for strains of skins and the core are adopted. Time domain solution of such equations is extracted by means of the well-known fourth-order Runge-Kutta method. The effects of core-to-skin thickness ratio, initial velocity of the impactor, the impactor mass and position of the impactor are studied in detail. It is found that these parameters play significant role in the impact force and dynamic response of the sandwich plate. Finally, some low velocity impact tests have been carried out by Drop Hammer Testing Machine. The results are compared with experimental data acquired by impact testing on sandwich plates as well as the results of finite element simulation.

Connection stiffness reduction analysis in steel bridge via deep CNN and modal experimental data

  • Dang, Hung V.;Raza, Mohsin;Tran-Ngoc, H.;Bui-Tien, T.;Nguyen, Huan X.
    • Structural Engineering and Mechanics
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    • 제77권4호
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    • pp.495-508
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    • 2021
  • This study devises a novel approach, namely quadruple 1D convolutional neural network, for detecting connection stiffness reduction in steel truss bridge structure using experimental and numerical modal data. The method is developed based on expertise in two domains: firstly, in Structural Health Monitoring, the mode shapes and its high-order derivatives, including second, third, and fourth derivatives, are accurate indicators in assessing damages. Secondly, in the Machine Learning literature, the deep convolutional neural networks are able to extract relevant features from input data, then perform classification tasks with high accuracy and reduced time complexity. The efficacy and effectiveness of the present method are supported through an extensive case study with the railway Nam O bridge. It delivers highly accurate results in assessing damage localization and damage severity for single as well as multiple damage scenarios. In addition, the robustness of this method is tested with the presence of white noise reflecting unavoidable uncertainties in signal processing and modeling in reality. The proposed approach is able to provide stable results with data corrupted by noise up to 10%.

진동하는 원주 주위의 유체 유동에 관한 연구 (A Study on the Fluid Flow Around an Oscillating Circular Cylinder)

  • 서용권;문종춘
    • 한국해양공학회지
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    • 제4권2호
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    • pp.223-223
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    • 1990
  • A circular cylinder is oscillated in th otherwise quiescent viscous fluid. Numerical analysis performed for this problem by using the fourth-order Runge-kutta method for the unsteady Navier-stokes equations. For K(Kelegan-Carpenter''s No.)=5, the flow developed symmetrically, while for K=10, it revealed random patterns. The coefficient of the rms force is overestimated by 20-30% compared with the experimental result.

집중질량 라인모델을 이용한 Steel Lazy Wave Riser의 비선형 동적 해석 (Nonlinear Dynamic Analysis of Steel Lazy Wave Riser using Lumped Mass Line Model)

  • 오승훈;정재환;박병원;권용주;정동호
    • 한국해양공학회지
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    • 제33권5호
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    • pp.400-410
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    • 2019
  • In this study, the numerical code for the 3D nonlinear dynamic analysis of an SLWR (Steel Lazy Wave Riser) was developed using the lumped mass line model in a FORTRAN environment. Because the lumped mass line model is an explicit method, there is no matrix operation. Thus, the numerical algorithm is simple and fast. In the lumped mass line model, the equations of motion for the riser were derived by applying the various forces acting on each node of the line. The applied forces at the node of the riser consisted of the tension, shear force due to the bending moment, gravitational force, buoyancy force, riser/ground contact force, and hydrodynamic force based on the Morison equation. Time integration was carried out using a Runge-Kutta fourth-order method, which is known to be stable and accurate. To validate the accuracy of the developed numerical code, simulations using the commercial software OrcaFlex were carried out simultaneously and compared with the results of the developed numerical code. To understand the nonlinear dynamic characteristics of an SLWR, dynamic simulations of SLWRs excited at the hang-off point and of SLWRs in regular waves were carried out. From the results of these dynamic simulations, the displacements at the maximum bending moments at important points of the design, like the hang-off point, sagging point, hogging points, and touch-down point, were observed and analyzed.

복합지지형 고속선의 조파저항 계산 (Calculation of Wave Resistance of a Hybrid Hydrofoil)

  • 유재훈;김영기;류재문
    • 대한조선학회논문집
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    • 제33권1호
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    • pp.1-8
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    • 1996
  • 3차원 날개면이 부착된 복합지지형 고속선의 정상상태에서의 조파저항을 포텐셜 기저 판요소법으로 해석하였다. 계산에 사용된 고속선은 물 속에 잠겨있는 몸체와 몸체의 중간 및 후방에 붙어 있는 3차원 날개면과 수면을 관통하는 앞, 뒤의 스트럿트로 구성되었다. 물체 표면(몸체, 날개면 및 스트럿트)에는 쏘오스와 다이폴을, 자유표면에는 쏘오스를 분포하였고, 선형화된 자유표면 조건과 방사조건을 만족시키기 위해 4점 유한차분을 이용하였으며, 날개면의 유동해석을 위해 준압력 Kutta조건(semi-linear pressure Kutta condition)을 적용하였다. 패널사이의 틈새 문제를 개선하기 위해 비 평면성이 고려된 쌍곡면 판요소법을 적용하여 각 선체 표면에서의 수치 계산 정도를 높이고자 하였다. 수치 계산 결과는 회류수조에서 모형 시험을 수행한 결과와 비교하였으며, 이로부터 본 연구에서 개발된 수치 계산법은 고속선의 최적 선형 개발에 이용 가능한 도구가 될 수 있는 것으로 나타났다.

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네변이 고정된 사각 샌드위치 평판에서의 수직 및 전단 감쇠 효과 (Shear and Normal Damping Effects of Square Sandwich Plates with Four Edges Clamped)

  • 이병찬;김광준
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1996년도 추계학술대회논문집; 한국과학기술회관, 8 Nov. 1996
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    • pp.217-223
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    • 1996
  • A structure's vibration characteristic is determined by modal property of the system. Through proper vibration analysis or experiments, the structure can be modified to reduce of vibration and noise. This paper is concerned with the natural frequency and modal loss factor of sandwich plates with viscoelastic core. The effects of shear and normal strain in the viscoelastic layer are investigated on modal properties, natural frequency and modal loss factor, by changing geometry parameter and viscoelastic material property of sandwich plates. The errors of modal parameters resulting from neglecting the extension or compression in the core material for simply supported(S-S-S-S) case are compared with those for clamped(C-C-C-C) boundary condition. Finite difference method(FDM) is utilized as numerical analysis technique of square sandwich plates for fixed boundary conditions. In order to reduce computation time and increase accuracy, improved finite difference expression with fourth order truncation error was used.

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비보존성 오염물질에 대한 종확산 방정식의 수치해법 (A Numerical Method for Longitudinal Dispersion Equation for Nonconservative Contaminants)

  • 유명관;전경수
    • 한국수자원학회논문집
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    • 제32권6호
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    • pp.607-616
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    • 1999
  • 비보존성 오염물질의 종확산에 관한 수치모형을 개발하였다. 계산기법으로는 종확산 방정식을 이송, 감쇠 및 확산 방정식으로 분리하고, 이들 방정식을 1/3 시간 간격에 대하여 번갈아 계산하는 단계분리 유한차분기법을 사용하였다. 이송방정식에 대해서는 Holly-Preissmann 기법을, 감쇠방정식에 대해서는 해석적 방법을, 확산방정식에 대해서는 Crank-Nicholson 기법을 각각 사용하였다. 오염물질이 불균일 흐름 내로 연속적으로 유입되는 경우 및 균일 흐름 내로 순간적으로 부하되는 경우에 대한 종확산 문제에 모형을 적용하여 계산결과를 정확해와 비교함으로써 모형을 검증하였다. 또한 감쇠방정식의 수치해법으로써 Euler 방법을 사용하는 기존의 모형에 계산결과를 비교하였다. 감쇠계수가 커질수록 본 모형이 기존의 모형에 비하여 더욱 정확한 계산결과를 나타내었다.

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고속탄자 유동의 가시화 실험 및 비정렬격자 계산 (Flow Visualization and Unstructured Grid Computation of Flow over a High-Speed Projectile)

  • 이상길;최서원;강준구;임홍규;백영호;김두연;강호철
    • 한국자동차공학회논문집
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    • 제6권2호
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    • pp.12-20
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    • 1998
  • Exter ballistics of a typical high-speed projectile is studied through a flow-visualization experiment and an unstructured grid Navier-Srokes computation. Experiment produced a schlieren photograph that adequately shows the characteristic features of this complex flow, namely two kinds of oblique cone shocks and turbulent wake developing into the downstream. A hybrid scheme of finite volume-element method is used to simulate the compressible Reynolds-Averaged Navier-Stok- es solution on unstructured grids. Osher's approximate Riemann solver is used to discretize the cinvection term. Higher-order spatial accuracy is obtained by MUSCL extension and van Albada ty- pe flux limiter is used to stabilize the numerical oscillation near the solution discontinuity. Accurate Gakerkin method is used to discretize the viscous term. Explict fourth-order Runge-Kutta method is used for the time-stepping, which simplifies the application of MUSCL extension. A two-layer k-$\varepsilon$ turbulence model is used to simulate the turbulent wakes accurately. Axisymmetric folw and two-dimensional flow with an angle of attack have been computed. Grid-dependency is also checked by carrying out the computation with doubled meshes. 2-D calculation shows that effect of angle of attack on the flow field is negligible. Axi-symmetric results of the computation agrees well with the flow visualization. Primary oblique shock is represented within 2-3 meshes in numerical results, and the varicose mode of the vortex shedding is clearly captured in the turbulent wake region.

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A virtual shaker testing experience: Modeling, computational methodology and preliminary results

  • Nali, Pietro;Bettacchioli, Alain;Landi, Guglielmo;Gnoffo, Marco
    • Advances in aircraft and spacecraft science
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    • 제5권2호
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    • pp.251-258
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    • 2018
  • This work illustrates the progress of a TAS activity at exploring the challenges and the benefits of the Virtual Shaker Testing (VST) approach. The definition and the validation of new computational methodologies with respect to the state of the art were encouraged throughout this activity. The shaker Finite Element (FE) model in lateral configuration was built for the purpose and it was merged with the SpaceCraft (S/C) FE model, together with the S/C-Shaker adapter. FE matrices were reduced through the Craig-Bampton method. The VST transient analysis was performed in MATLAB(R) numerical computing environment. The closed-loop vibration control is accounted for and the solution is obtained through the fourth-order Runge Kutta method. The use of pre-existing built-in functions was limited by authors with the aim of tracing the impact of all the problems' parameters in the solution. Assumptions and limitations of the proposed methodology are detailed throughout this paper. Some preliminary results pertaining to the current progress of the activity are thus illustrated before the conclusions.

Flow Characteristics of Gaseous Leak flows in Narrow Cracks

  • Hong, Chung-Pyo
    • 한국유체기계학회 논문집
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    • 제11권4호
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    • pp.14-21
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    • 2008
  • The prediction for gaseous leak flows through a narrow crack is important for a leak-before-break (LBB) analysis. Therefore, the methodology to obtain the flow characteristics of gaseous leak flow in a narrow crack for the wide range by using the product of friction factor and Reynolds number correlations (fRe) for a micro-channel is developed and presented. The correlation applied here was proposed by the previous study. The fourth-order Runge-Kutta method was employed to integrate the nonlinear ordinary differential equation for the pressure and the regular-Falsi method was also employed to find the inlet Mach number. A narrow crack whose opening displacement ranges from 10 to $100{\mu}m$ with a crack length in the range from 2 to 200mm was chosen for sample prediction. The present results are compared with both numerical simulation results and available experimental measurements. The results are in excellent agreement with them. The leak flow rate can be approximately predicted by using proposed methodology.