• Title/Summary/Keyword: 오일러-베르누이 보 모델

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A Performance Evaluation of Beam Finite Elements with Higher-order Derivatives' Continuity (고차미분 연속성을 가지는 유한요소 보 모델들에 대한 성능평가)

  • Lee, Gijun;Kim, Jun-Sik
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.30 no.4
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    • pp.335-341
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    • 2017
  • In this paper, beam finite elements with higher-order derivatives' continuity are formulated and evaluated for various boundary conditions. All the beam elements are based on Euler-Bernoulli beam theory. These higher-order beam elements are often required to analyze structures by using newly developed higher-order beam theories and/or non-classical beam theories based on nonlocal elasticity. It is however rare to assess the performance of such elements in terms of boundary and loading conditions. To this end, two higher-order beam elements are formulated, in which $C^2$ and $C^3$ continuities of the deflection are enforced, respectively. Three different boundary conditions are then applied to solve beam structures, such as cantilever, simply-support and clamped-hinge conditions. In addition to conventional Euler-Bernoulli beam boundary conditions, the effect of higher-order boundary conditions is investigated. Depending on the boundary conditions, the oscillatory behavior of deflections is observed. Especially the geometric boundary conditions are problematic, which trigger unstable solutions when higher-order deflections are prescribed. It is expected that the results obtained herein serve as a guideline for higher-order derivatives' continuous finite elements.

Computational analysis of coupled fluid-structure for a rotor blade in hover (정지 비행하는 로터 블레이드의 전산 유체-구조 결합 해석)

  • Kim, Hae-Dong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.12
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    • pp.1139-1145
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    • 2008
  • numerical study on the coupled fluid-structure for a rotor blade in hover was conducted. Computational fluid dynamics code with enhanced wake-capturing capability is coupled with a simple structural dynamics code based on Euler-Bernoulli's beam equation. The numerical results show a reasonable blade structural deformation and aerodynamic characteristics.

A Study on the Mixed Finite Element Models of Nonlinear Beam Bending Based on the Unconventional Residual Minimizing Method (비전통적 오차 최소화 방식에 기초한 비선형 빔의 휨에 대한 혼합형 유한요소해석 모델 연구)

  • Kim, Woo-Ram;Choi, Youn-Dae
    • Journal of the Korea Institute of Military Science and Technology
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    • v.12 no.6
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    • pp.785-795
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    • 2009
  • In this paper, new type of finite element models for the analysis of nonlinear beam bending are developed by using unconventional residual minimizing method to increase accuracy of finite element solutions and overcome some of computational drawbacks. Developing procedures of the new models are presented along with the comparison of the numerical results of existing beam bending models.

Investigation of Impact Factor and Response Factor of Simply Supported Bridges due to Eccentric Moving Loads (이동하중의 편측재하에 따른 단순교의 충격계수 및 응답계수 변화 분석)

  • Hong, Sanghyun;Roh, Hwasung
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.22 no.6
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    • pp.105-113
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    • 2018
  • The proposed model to predict the bridge load carrying capacity uses the impact response spectrum. The spectrum is based on Euler-Bernoulli beam and the center of the bridge width for the moving load location. Therefore, it is necessary to investigate the eccentric moving load effects on the impact factor and response factor. For this, this study considers 10 m width and two-lane simply supported slab bridges and performs the moving load analysis to investigate the variations of peak impact factor and corresponding response factor. The numerical results show that the eccentric load increases both the static and dynamic displacements, but the impact factor is decreased since the incremental amount of static displacement is bigger than that of dynamic displacement. However, the difference of the impact factors between the center and eccentric loadings is small showing less than 0.5%p. In the response factor, the eccentric loading increases both the static and dynamic response factors, compared to the center loading. The difference of the response factor is only 0.18%p. It shows that the eccentric loading has very small effects on the response factor, thus the impact factor response spectrum which is generated based on the center moving load can be used to determine the response factor.