• Title/Summary/Keyword: iterative closure method

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A Study on the Analysis of Stochastic Nonlinear Dynamic System (확률적 비선형 동적계의 해석에 관한 연구)

  • 남성현;김호룡
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.3
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    • pp.697-704
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    • 1995
  • The dynamic characteristics of a system can be critically influenced by system uncertainty, so the dynamic system must be analyzed stochastically in consideration of system uncertainty. This study presents the stochastic model of a nonlinear dynamic system with uncertain parameters under nonstationary stochastic inputs. And this stochastic system is analyzed by a new stochastic process closure method and moment equation method. The first moment equation is numerically evaluated by Runge-Kutta method and the second moment equation is numerically evaluated by stochastic process closure method, 4th cumulant neglect closure method and Runge-Kutta method. But the first and the second moment equations are coupled each other, so this equations are approximately evaluated by a iterative method. Finally the accuracy of the present method is verified by Monte Carlo simulation.

Frictional Contact Analysis of the Crack Surfaces Under the Compressive Loading (압축력으로 인한 균열표면의 마찰접촉 해석)

  • Kim, Bang-Won;Kim, Young-Kweon;Lee, Ki-Su
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.7
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    • pp.91-97
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    • 2001
  • When a body including a crack inside is subjected to the compressive forces, the crack is closed and sliding occurs on the crack surfaces. In this work, a subsurface crack subjected to a static compressive load is analyzed with the finite element method considering friction on the crack surface. The friction on the crack surface is assumed to follow the Coulomb friction law, and a numerical method based on the finite element method and iterative method is applied in this work. The result is compared with those of ANSYS and references.

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Finite Element Numerical Analysis on Tidal Characteristic Changes due to Seadike Construction

  • Kwun, Soon-Kuk;Na, Jeong-Woo;Chang, Hyun-Jin
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.39 no.2
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    • pp.19-25
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    • 1997
  • Abstract [] The prediction of changes in the tidal regime due to the sea dike closure in the Saemankum area was performed using the nonlinear finite element model, TIDE. Based upon an overall comparison of calibrated model results with available field data, the TIDE model behaves well and is good representation of the hydrodynamic of the Saemankum tidal project area. It is shown that the TIDE model does an excellent job of computing the changes of tidal characteristics resulting in sea dike closure in an estuary area.

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Stochastic along-wind response of nonlinear structures to quadratic wind pressure

  • Floris, Claudio;de Iseppi, Luca
    • Wind and Structures
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    • v.5 no.5
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    • pp.423-440
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    • 2002
  • The effects of the nonlinear (quadratic) term in wind pressure have been analyzed in many papers with reference to linear structural models. The present paper addresses the problem of the response of nonlinear structures to stochastic nonlinear wind pressure. Adopting a single-degree-of-freedom structural model with polynomial nonlinearity, the solution is obtained by means of the moment equation approach in the context of It$\hat{o}$'s stochastic differential calculus. To do so, wind turbulence is idealized as the output of a linear filter excited by a Gaussian white noise. Response statistical moments are computed for both the equivalent linear system and the actual nonlinear one. In the second case, since the moment equations form an infinite hierarchy, a suitable iterative procedure is used to close it. The numerical analyses regard a Duffing oscillator, and the results compare well with Monte Carlo simulation.

A Potential-Based Panel Method for the Analysis of a Two-Dimensional Partially-Cavitating Hydrofoil

  • Lee, Chang-Sup
    • Selected Papers of The Society of Naval Architects of Korea
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    • v.1 no.1
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    • pp.15-25
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    • 1993
  • A potential-based panel method is presented for the analysis of a partially-cavltatlng two-dimensional hydrofoil. The method employs normal dipoles and sources distributed on the foil and cavity surfaces. It is shown that the source plays an Important role in positioning the cavity surface through an iterative process. The cavity closure consition is found very effective in generating the cavity shape. Upon convergence, the method predicts the cavitation nurser, together with the lift, the drag and the surface pressure distribution, for a given cavity length. Systematic convergence tests shows that the present numerical method is fast and stable. The present computations show a good agreement with the previously computed and measured results.

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