• Title/Summary/Keyword: 비선형 수치해석

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Non-linear Shimmy Analysis of a Nose Landing Gear with Free-play (유격을 고려한 노즈 랜딩기어의 비선형 쉬미 해석)

  • Yi, Mi-Seon;Hwang, Jae-Up;Bae, Jae-Sung;Hwang, Jae-Hyuk
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.38 no.10
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    • pp.973-978
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    • 2010
  • In this paper, we studied the shimmy phenomena of an aircraft nose landing gear considering free-play. Shimmy is a self-excited vibration in lateral and torsional directions of a landing gear during either the take-off or landing. This phenomena is caused by a couple of conditions such as low torsional stiffness of the strut, friction and free-play in the gear, wheel imbalance, or worn parts, and it may make an aircraft unstable. Free-play non-linearity is linearized by the described function for a stability analysis in a frequency domain, and time marching is performed using the fourth-order Runge-Kutta method. We performed the numerical simulation of the nose landing gear shimmy and investigated its linear and nonlinear characteristics. From the numerical results, we found limit-cycle-oscillations at the speed under linear shimmy speed for the case considering free-play and it can be concluded that the shimmy stability can be decreased by free-play.

Development of Finite Difference Model for Tsunami Propagation (지진해일 전파모의를 위한 유한차분모형 개발)

  • Ahn, Seong-Ho;Ha, Tae-Min;Cho, Yong-Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.52-56
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    • 2010
  • 본 연구에서는 지진해일의 전파 과정을 모의함에 있어 선형 천수방정식의 수치분산을 이용하는 기법이 아닌 선형 Boussinesq 방정식을 직접 차분하는 유한차분기법을 제안하였다. 지배방적식과 차분식의 일치성을 해석하기 위해 이산화 오차를 확인하고, 수치해의 안정적 수렴여부를 판단하기 위해 Von neumann 안정성 해석을 수행하였다. 또한 기법의 정확성을 검증하기 위하여 Gauss 분포의 초기 자유수면변위를 갖는 문제에 적용하여 선형 Boussinesq 방정식의 해석해와 비교하였다. 그 결과 기존의 선형 천수방정식을 차분화한 수치모형에 비하여 정확한 결과를 제공하였고 분산보정기법을 이용한 수치모형과 동일한 정확도를 보였으나 본 수치모형을 이용했을 때 비교적 넓은 범위의 조건에서 정확도 높은 결과를 제공하였다.

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Nonlinear Analysis of Reinforced Concrete Simple Beam Subjected by Bending Moment (휨을 받는 철근콘크리트 단순보의 비선형 해석)

  • Han, Jae-Ik;Lee, Kyeong-Dong
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.5 no.2
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    • pp.129-136
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    • 2001
  • 본 연구의 목적은 휨을 받는 철근콘크리트 단순보의 비선형 거동을 해석을 통하여 파악하기 위하여 보의 단면을 Layer로 분할하여 각 Layer에 사용된 재료의 특성을 부여하고, 작용하중에 의한 비선형 특성을 응력-변형도 모델을 통하여 반영할 수 있도록 알고리즘을 작성하는 것이다. 본 연구에서 제안한 알고리즘을 사용하면 실험을 위한 보(beam)를 제작하지 않고도 사용재료의 압축 및 인장 실험을 위한 몰드 만을 제작하여 재료에 대한 정확한 응력-변형도 모델을 작성함으로써 합성보의 거동을 수치해석을 통하여 간단하게 파악할 수 있을 것으로 기대된다.

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A Geometrically Nonlinear Analysis for the Eccentric Degenerated Beam Element Considering Large Displacements and Large Rotations (대변위 밀 대회전을 고려한 편심된 격하 보요소의 기하학적 비선형해석)

  • Jae-Wook Lee;Young-Tae Yang
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.4
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    • pp.227-233
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    • 1992
  • To study the large displacement and large rotation problems, geometrically nonlinear formulation of eccentric degenerated beam element has been developed, where the restrictions of infinitesimal rotation increments are removed and the incremental equations are derived using the Taylor series expansion of the displacement function at time t+dt. The geometrically nonlinear analyses are carried out for the cases of cantilever, square frame, shallow arch and 45-degree bend beam and all of them are compared with each of the other results published. The element developed in the present research can be efficiently utilized for analysis of the nonlinear behaviours of structures when displacements and rotations are large.

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Natural Frequencies for Inhomogeneous Beams by Differential Transformation (미분변환에 의한 비균질 보의 진동해석)

  • Mun, Kwon-Kyung;Jae, Shin-Yung;Ryu, Yung-Soon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11b
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    • pp.617-621
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    • 2001
  • This paper presents the application of the technique of differential transformation to find the vibration frequencies for inhomogeneous beams with one sliding support, the other clamped and the other pinned boundary conditions. Numerical calculations are carried out. The frequencies obtained from the differential-transformation solutions are compared to published results to demonstrate the accuracy and flexibility of the method.

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Analysis on the Behaviour of Foundation Using the Non-Linear Constitutive Laws (비선형구성식을 이용한 기초지반의 거동해석)

  • Jeong, Jin Seob
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.2
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    • pp.253-265
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    • 1993
  • This paper presents a numerical method for implementing a nonlinear constitutive material model developed by Lade, into a finite element computer program. The techniques used are based on the displacement method for the solution of axial symmetric and plane strain nonlinear boundary value problems. Laboratory behaviour of Baekma river sand(#40-60) is used to illustrate the determination of the parameters and verification of the model. Computer procedure is developed to determine the material parameters for the nonlinear model from the raw laboratory test data. The model is verified by comparing its predictions with observed data used for the determination of the parameters and then with observed data not used for the determination. Three categories of tests are carried out in the back-prediction exercise; (1) A hydrostatic test including loading and unloading response, (2) Conventional triaxial drained compression tests at three different confining pressure and (3) A model strip footing test not including in the evaluation of material parameters. Pertinent observations are discussed based on the comparison of predicted response and experimental data.

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Numerical Assessment of Tensile Strain Capacity for X80 Line Pipe Using GTN Model (GTN 모델을 이용한 X80 라인파이프의 인장 변형성능 해석)

  • Yoon, Young-Cheol;Kim, Ki-Seok;Lee, Jae Hyuk;Cho, Woo-Yeon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.36 no.6
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    • pp.979-990
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    • 2016
  • This study presents a nonlinear finite element procedure involving a phenomenological model to validate the tensile strain capacity of the X80 line pipe developed for the strain-based design purpose. The procedure is based on the Gurson-Tvergaard-Needleman (GTN) model, which models nucleation, growth and coalescence of void volume fraction occurred inside a metal. In this study, the user-defined material module (UMAT) is implemented in the commercial finite element platform ABAQUS and is applied to the nonlinear damage analysis of steel specimens. Material parameters for the nonlinear damage analysis of base and weld metals are calibrated from numerical simulations for the tensile tests of round bar and full thickness specimens. They are then employed in the numerical simulations for SENT (Single Edge Notch Tension) test and CWPT (Curved Wide Plate Test) and in the simulations, the tensile strain capacities are naturally evaluated. Comparison of the numerical results with the experimental results and the conventional empirical formulae shows that the proposed numerical procedure can fairly well predict the tensile strain capacity of X80 line pipe. So, it is readily expected to be effectively applied to the strain-based design procedure.

Numerical Computations for Hydrofoil-Generated Nonlinear Waves (수중익에 의한 비선형 조파현상의 수치해석)

  • Hong-Gi Lee;Kwang-June Bai
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.3
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    • pp.29-40
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    • 1993
  • The fundamental characteristics of nonlinear free-surface waves generated by a shallowly submerged 3-dimensional hydrofoil are investigated. The fluid is assumed inviscid, incompressible and its motion irrotational. The surface tension on the free-surface is neglected. The hydrofoil is represented by a horseshoe vortex system whose shape is assumed fixed. Also the strengths of vortices are assumed given. The exact problem for the wave potential due to the horseshoe vortex system is formulated by the variational principle based on the classical Hamilton's principle. The localized finite element method is used in the numerical computations. In order to increase the numerical efficiency, an intermediate nonlinear-to-linear transition buffer subdomain for a smooth matching is introduced between the fully nonlinear computation subdomain and the truncated linear infinite subdomain. Also used is the modal analysis to reduce the computation tome drastically. The effect of inflow velocity, submergence depth of the hydrofoil and the shape of circulation distribution on the wave profiles are thoroughly examined. Especially it was possible to investigate the nonlinear influence of the free vortex on the free vortex. The nonlinear free-surface effect on the induced forces on the hydrofoil is also investigated.

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On nonlinear fluid-structure-soil interaction (유체-구조물-지반 비선형 상호작용에 관한 고찰)

  • Lee, Woo-Dong;Hur, Dong-Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2020.06a
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    • pp.86-86
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    • 2020
  • 수리구조물에 관한 기존 연구들은 대부분 기능성과 안정성 측면에서 본체에 작용하는 유체력에 대한 안정성에 주안점을 두고 있다. 수리구조물 상·하류의 수위차에 기인한 기초지반내의 흐름 및 간극수압 변화는 하천 구조물의 안정성을 연구하는데 매우 중요하다. 해양에서는 파랑하중에 의한 과잉간극수압이 액상화를 발생시켜 해안구조물의 안정에 큰 영향을 미치는 것으로 보고되며, 이에 관련 연구들이 활발하게 진행되고 있다. 반면, 하천구조물 주변 지반의 흐름 및 간극수압 뿐 아니라, 액상화에 관한 연구는 아직 미진한 실정이다. 본 연구에서는 수리구조물 주변의 유동 및 와동 현상 뿐 아니라, 수위차에 따른 지반 내부 유동장과 간극수압에 관한 특성을 분석하기 위해 유체-구조물-지반 비선형 상호작용을 고려할 수 있는 수치수조를 새롭게 제안하였다. 그리고 제안하는 수치수조의 타당성 및 유효성을 검증하기 위해 기존 실험값과 비교·검토를 수행하였고, 그 결과는 거의 유사한 경향을 나타내었다. 또한 이 수치수조에 다양한 입사조건(상·하류 수위차)에 적용하여 유체-구조물-지반의 비선형동적상호간섭 해석을 수행하였다. 최종적으로 수치수조에서 측정한 구조물 주변의 유동, 와동, 수위로부터 수리특성을 논의하였다. 게다가 지반내의 흐름과 간극수압을 측정하여 상·하류 수위차가 수리구조물의 안정성에 미치는 영향을 분석할 수 있었다.

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Finite Difference Nonlinear Analysis of Composite Plate Structures with Various Layer Sequences (다양한 적층 배열을 갖는 복합 신소재 판 구조물의 유한차분 비선형 해석)

  • Lee, Sang Bum;Lee, Sang Youl;Lee, Rae Chul
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.9 no.4
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    • pp.159-168
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    • 2005
  • This study carries out a finite difference nonlinear analysis of anisotropic advanced composite plate structures with various layer sequences. In the numerical analysis of various mechanical problems involving complex partial differential equations, the finite difference method (FDM) developed in this study has an advantage over the finite element method in its ability to avoid mesh generation and numerical integration. Many studies in FDM have been made on clamped or simple boundary conditions using merely an energy approach. These approaches cannot be satisfied, however, with pivotal points along the free boundary. Therefore, this study addresses the nonlinear problem of anisotropic plates by adopting a finite difference modeling elimination of pivotal difference points in the case of a free boundary condition. Complex nonlinear behaviors of composite plate structures for various parameters, especially for layer sequences, are analyzed using the proposed approach.