• Title/Summary/Keyword: time integration scheme

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A dynamic analysis of three-dimensional functionally graded beams by hierarchical models

  • Giunta, Gaetano;Koutsawa, Yao;Belouettar, Salim;Calvi, Adriano
    • Smart Structures and Systems
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    • v.13 no.4
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    • pp.637-657
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    • 2014
  • This paper presents a dynamic analysis of three-dimensional beams. Structures made of functionally graded materials are considered. Several higher-order as well as classical theories are derived by means of a compact notation for the a-priori expansion order of the displacement field over the beam cross-section. The governing differential equations and boundary conditions are obtained in a condensed nuclear form that does not depend on the kinematic hypotheses. The problem is, then, exactly solved in space by means of a Navier-type solution, whereas time integration is performed by means of Newmark's solution scheme. Slender and short simply supported beams are investigated. Results are validated towards three-dimensional FEM results obtained via the commercial software ANSYS. Numerical investigations show that good accuracy can be obtained through the proposed formulation provided that the appropriate expansion order is considered.

Implicit Incompressible flow solver on Unstructured Hybrid grids (비정렬 혼합 격자에서 내재적 방법을 이용한 비압축성 유동해석)

  • Kim, Jong-Tae;Kim, Yong-Mo;Maeng, Ju-Seong
    • Journal of computational fluids engineering
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    • v.3 no.2
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    • pp.17-26
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    • 1998
  • The three-dimensional incompressible Navier-Stokes equations have been solved by a node-centered finite volume method with unstructured hybrid grids. The pressure-velocity coupling is handled by the artificial compressibility algorithm and convective fluxes are obtained by Roe's flux difference splitting scheme with linear reconstruction of the solutions. Euler implicit method with Jacobi matrix solver is used for the time-integration. The viscous terms are discretised in a manner to handle any kind of grids such as tetragedra, prisms, pyramids, hexahedra, or mixed-element grid. Inviscid bump flow is solved to check the accuracy of high order convective flux discretisation. And viscous flows around a circular cylinder and a sphere are studied to show the efficiency and accuracy of the solver.

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Aerodynamic Calculations in Hover of KUH Rotor Blade (한국형 기동헬기 블레이드의 제자리 비행 공력 해석)

  • Kang, Hee-Jung;Kim, Seung-Ho;Jung, Mun-Seung;Lee, Hee-Dong;Kwon, Oh-Joon
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.25-28
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    • 2008
  • An aerodynamic calculation in hover of KUH main rotor blade is performed using a three-dimensional unstructured hybrid mesh viscous flow solver. The flow solver utilizes a vertex-centered finite-volume scheme that is based on the Roe's flux-difference splitting with an implicit Jacobi/Gauss-Seidel time integration. The eddy viscosity are estimated by the Spalart-Allmaras one-equation turbulence model. A solution-adaptive mesh refinement technique is used for efficient capturing of the tip vortex. Calculations are performed at several operating conditions with varying collective pitch setting for KUH main rotor blade in hover. Good agreements are obtained between the present and other results using HOST and CAMRAD II in overall rotor performance. It is demonstrated that the present vertex-centered flow solver is an efficient and accurate tool for the assessment of rotor performance in hover.

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Three-Dimensional Numerical Analysis of Spinning Detonation Wave (Spinning Detonation 파의 3차원 수치 해석)

  • Cho, Deok-Rae;Choi, Jeong-Yeol;Won, Su-Hee
    • 한국연소학회:학술대회논문집
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    • 2006.04a
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    • pp.205-212
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    • 2006
  • Three-dimensional numerical study was carried out for the investigation of the detonation wave structures propagating in tubes. Fluid dynamics equations and conservation equation of reaction progress variable were analyzed by a MUSCL-type TVD scheme and four stage Runge-Kutta time integration. Chemical reaction was modeled by using a simplified one-step irreversible kinetics model. The variable gas properties between unburned and burned states were considered by using variable specific heat ratio formulation. The unsteady computational results in three-dimension show the detailed mechanisms of rectangular and diagonal mode of detonation wave instabilities resulting same cell length but different cell width in smoked-foil record. The results for the small reaction constant shows the spinning mode of three-dimensional detonation wave dynamics, which was rarely observed in the previous numerical simulation of the detonation waves.

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Numerical Analysis of Tip Leakage Flows in Axial Flow Turbine Rotors (축류터빈 동익 내부의 누설유동에 관한 수치해석)

  • Chung, H.T.
    • Journal of Power System Engineering
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    • v.9 no.1
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    • pp.23-29
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    • 2005
  • Numerical analysis of three-dimensional viscous flow-fields in the turbine rotor passages was carried out to investigate flow physics including the interaction between secondary vortices, tip leakage vortex, and the rotor wake. The blade tip geometry was accurately modeled adopting the embedded H grid system. An explicit four-stage Runge-Kutta scheme was used for the time integration of both the mean flow and turbulence equations. The computational results for the entire turbine rotor flows, particularly the tip clearance flow and the secondary flows, were interpreted and compared with the experimental data from the Penn State turbine stage. The predictions for major features of the flow field have been found to be in good agreement with the experimental data.

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Performance Prediction a 10MW-Class Wind Turbine Blade Considering Aeroelastic Deformation Effect (공탄성 변형효과를 고려한 10MW급 풍력발전기 블레이드의 성능해석)

  • Kim, Dong-Hyun;Kim, Yo-Han;Ryu, Gyeong-Joong;Kim, Dong-Hwan;Kim, Su-Hyun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2011.04a
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    • pp.657-662
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    • 2011
  • In this study, aeroelastic performance analyses have been conducted for a 10MW class wind turbine blade model Advanced computational analysis system based on computational fluid dynamics (CFD) and computational structural dynamics (CSD) has been developed in order to investigate detailed dynamic responsed of wind turbine blade Reynolds-averaged Navier-Stokes (RANS) equations with k-${\omega}$ SST turbulence model are solved for unsteady flow problems of the rotating turbine blade model. A fully implicit time marching scheme based on the Newmark direct integration method is used for computing the coupled aeroelastic governing equations of the 3D turbine blade for fluid-structure interaction (FSI) problems.

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Numerical Analysis of Tip Leakage Flows in Axial Flow Turbine Rotors (축류터빈 동익 내부의 누설유동에 관한 수치해석)

  • Chung H. T.
    • 한국전산유체공학회:학술대회논문집
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    • 2003.08a
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    • pp.171-175
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    • 2003
  • Numerical analysis of three-dimensional viscous flow-fields in the turbine rotor passages is carried out to investigate flow physics including the interaction between secondary vortices, tip leakage vortex, and the rotor wake. The blade tip geometry is accurately modeled adopting the embedded H grid topology. An explicit four-stage Runge-Kutta scheme is used for the time integration of both the mean flow and turbulence equations. The computational results for the entire turbine rotor flows, particularly the tip clearance flow and the secondary flows, are interpreted and compared with the experimental data from the Penn State turbine stage. Good agreement between the experimental data and the numerical prediction was achieved in the sense of the major features of the flow fields.

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Nonlinear dynamic buckling of laminated angle-ply composite spherical caps

  • Gupta, S.S.;Patel, B.P.;Ganapathi, M.
    • Structural Engineering and Mechanics
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    • v.15 no.4
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    • pp.463-476
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    • 2003
  • This paper deals with nonlinear asymmetric dynamic buckling of clamped laminated angle-ply composite spherical shells under suddenly applied pressure loads. The formulation is based on first-order shear deformation theory and Lagrange's equation of motion. The nonlinearity due to finite deformation of the shell considering von Karman's assumptions is included in the formulation. The buckling loads are obtained through dynamic response history using Newmark's numerical integration scheme coupled with a Newton-Raphson iteration technique. An axisymmetric curved shell element is used to investigate the dynamic characteristics of the spherical caps. The pressure value beyond which the maximum average displacement response shows significant growth rate in the time history of the shell structure is considered as critical dynamic load. Detailed numerical results are presented to highlight the influence of ply-angle, shell geometric parameter and asymmetric mode on the critical load of spherical caps.

A Simple Framework for Indoor Monocular SLAM

  • Nguyen, Xuan-Dao;You, Bum-Jae;Oh, Sang-Rok
    • International Journal of Control, Automation, and Systems
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    • v.6 no.1
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    • pp.62-75
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    • 2008
  • Vision-based simultaneous localization and map building using a single camera, while compelling in theory, have not until recently been considered extensive in the practical realm of the real world. In this paper, we propose a simple framework for the monocular SLAM of an indoor mobile robot using natural line features. Our focus in this paper is on presenting a novel approach for modeling the landmark before integration in monocular SLAM. We also discuss data association improvement in a particle filter approach by using the feature management scheme. In addition, we take constraints between features in the environment into account for reducing estimated errors and thereby improve performance. Our experimental results demonstrate the feasibility of the proposed SLAM algorithm in real-time.

A Study on the Stability Analysis Method Considering Bus Voltage Derivatives (모선전압 변화율을 고려한 안정도 해석법에 관한 연구)

  • Kim, Chun-Hyeon;Park, Young-Moon
    • Proceedings of the KIEE Conference
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    • 1993.07a
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    • pp.90-92
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    • 1993
  • Stability analysis is an essential work in the operation and planning of power system. There are two categories, direct method and indirect method, and indirect method calculates the trajectories of states by numerical methods. Popular method using explicit integration has relatively low accuracy, so a more accurate method is requested. By the consideration of bus voltage variation, Runge-Kutta 4th order method can be made more accurate, but this scheme need much computation time. Through three recipes, computational cost of proposed method can be reduced. So the proposed method has improved accuracy and slight rise in cost. the method was tested on the IEEE 14 bus system.

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