欧阳煜, 刘慧, 杨骁. 考虑粘结层滑移效应的组合梁弯曲[J]. 工程力学, 2012, 29(9): 215-222. DOI: 10.6052/j.issn.1000-4750.2010.12.0927
引用本文: 欧阳煜, 刘慧, 杨骁. 考虑粘结层滑移效应的组合梁弯曲[J]. 工程力学, 2012, 29(9): 215-222. DOI: 10.6052/j.issn.1000-4750.2010.12.0927
OUYANG Yu, LIU Hui, YANG Xiao. BENDING OF COMPOSITE BEAM CONSIDERING EFFECT OF ADHESIVE LAYER SLIP[J]. Engineering Mechanics, 2012, 29(9): 215-222. DOI: 10.6052/j.issn.1000-4750.2010.12.0927
Citation: OUYANG Yu, LIU Hui, YANG Xiao. BENDING OF COMPOSITE BEAM CONSIDERING EFFECT OF ADHESIVE LAYER SLIP[J]. Engineering Mechanics, 2012, 29(9): 215-222. DOI: 10.6052/j.issn.1000-4750.2010.12.0927

考虑粘结层滑移效应的组合梁弯曲

BENDING OF COMPOSITE BEAM CONSIDERING EFFECT OF ADHESIVE LAYER SLIP

  • 摘要: 针对粘结型组合梁,在粘结层仅沿轴向剪切变形的假定下,给出了组合梁大挠度弯曲的一般非线性控制方程,指出仅在一阶近似下,组合梁子梁的轴线挠度相等.其次,在Euler-Bernoulli 梁变形的条件下,通过线性化方法,由上述非线性控制方程得到以挠度和轴向位移为基本未知量的组合梁线性弯曲耦合控制方程,该耦合方程组可分别退化为经典组合梁和叠梁的控制方程.最后,分析了悬臂组合梁在端部集中力作用下的线性弯曲,得到了问题的解析解,给出了不同梁长下组合梁自由端挠度、粘结层滑移位移和剪切应力等随粘结层剪切模量和厚度的变化曲线,进行了参数分析,结果表明:粘结层厚度和剪切模量对组合梁挠度和粘结层滑移有较为显著的影响,而对粘结层剪力影响很小.

     

    Abstract: For a composite beam with a adhesive layer, the general nonlinear governing equations for a large deflection are established with the assumption that the adhesive layer only exists the shear deformation along the axial direction. And it is revealed that the deflections at the sub-beam axial lines of the composite beam are equal only in sense of the first order approximation. Then, by linearization technique, the coupled governing equations for linear bending of the composite beam are obtained from the above nonlinear equations under the condition of the Euler-Bernoulli beam deformation, in which the basic unknowns are its deflection and its axial displacement. The coupled equations derived can be degenerated into the governing equations for the classical composite beam and stop log, respectively. Finally, the linear bending of the cantilever composite beam, subjected to a concentrated load at its free end, is investigated, and the analytical solutions are obtained. The curves of the deflection of the composite beam, the slip displacement and shearing force of the adhesive layer at the free end versus the shear modulus and thickness of the adhesive layer are shown in figures, and the parameters study is conducted. It is shown that the adhesive-layer’s thickness and shear modulus have great influences on the deflection of a composite beam and the slip displacement of an adhesive layer, and a little influence on the shear force of the adhesive layer.

     

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