Approximate Analysis Method for Composite Beams with Partial Interaction Using Fourier Series

Young-Hoon Park; Sung-Hoon Kim; Seung-Yong Lee; Jun-Hyeok Choi

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Approximate Analysis Method for Composite Beams with Partial Interaction Using Fourier Series

机译：部分相互作用的组合梁的傅里叶级数近似分析方法

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摘要

This paper presents an alternate analysis method for calculating the deflection and internal forces for arbitrary boundary and loading conditions of composite beams with partial interaction. The internal axial force was approximated by the Fourier series to solve the governing equation of composite beam. Then, the coefficients of the Fourier series were determined using the Euler-Lagrange equation of minimizing a definite integral. An evaluation of the convergence and the accuracy for the proposed method in the determination of the deflection for four types of boundary conditions with four types of loading cases was made. The results were agreed with those obtained by other analytical methods. The displacement of the partial composite beam depends on the stiffness of shear connectors, boundary conditions and loading conditions.

机译：本文提出了一种替代分析方法，用于计算具有部分相互作用的组合梁的任意边界和荷载条件的挠度和内力。内轴力通过傅里叶级数近似来求解复合梁的控制方程。然后，使用最小化确定积分的欧拉-拉格朗日方程确定傅里叶级数的系数。对所提出的方法在确定四种荷载工况的四种边界条件下的挠度时的收敛性和准确性进行了评估。结果与通过其他分析方法获得的结果一致。部分组合梁的位移取决于剪切连接器的刚度，边界条件和荷载条件。

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来源
《International journal of steel structures》 |2013年第2期|219-227|共9页
作者
Young-Hoon Park; Sung-Hoon Kim; Seung-Yong Lee; Jun-Hyeok Choi;
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作者单位

Department of Civil Engineering, Bucheon University, 25 Shinheungro-56, Wonmigu, Bucheon, Kyeong-gi, 420-735, Korea;

Division of Structural Engineering, School of Civil Engineering, Seoul National University of Science and Technology, 172 GongReung-2 Dong, Nowon-Gu, Seoul, 139-743, Korea;

Department of Civil Engineering, Korea National University of Transportation, 50 Daehak-ro, Chungju, Chungbuk, 380-702, Korea;

Department of Civil Engineering, Bucheon University, 25 Shinheungro-56, Wonmigu, Bucheon, Kyeong-gi, 420-735, Korea;

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正文语种 eng
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关键词
composite beam; partial interaction; approximate analysis; shear connector; energy method;

机译：复合梁部分互动;近似分析;剪切接头;能量法;

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1. Approximate Analysis of Simply Supported Composite Beams with Partial Interaction [J] . Sung-Hoon Kim, Jun-Hyeok Choi Advances in Structural Engineering . 2011,第6期

机译：部分相互作用的简支组合梁的近似分析
2. Dynamic analysis of partial-interaction Kant composite beams by weak-form quadrature element method [J] . Fu Chao, Yang Xiao Archive of Applied Mechanics . 2018,第12期

机译：弱相互作用正交单元法对局部相互作用康德组合梁的动力分析
3. Nonlinear analysis of composite beams with partial shear interaction by means of the direct stiffness method [J] . G. Ranzi, M.A. Bradford Steel & Composite Structures: An International Journal . 2009,第2期

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4. Partial Interaction Analysis of Composite Beams by Means of the Finite Difference Method, the Finite Element Method, the Direct Stiffness Method and the Analytical Solution: A Comparative Study [C] . G. Ranzi, M. A. Bradford, F. Gara, International Conference on Computational Structures Technology . 2004

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6. The Fourier decomposition method for nonlinear and non-stationary time series analysis [O] . Pushpendra Singh, Shiv Dutt Joshi, Rakesh Kumar Patney, -1

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7. The analysis of composite beams with partial interaction using the general technique method [O] . Nguyen Van Chung, Bui Cong Thanh 2008

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Approximate Analysis Method for Composite Beams with Partial Interaction Using Fourier Series

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