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Closed-form analysis of thin-walled composite I-beams considering non-classical effects

机译：考虑非经典效应的薄壁复合工字梁的封闭形式分析

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In this work, a closed-form analysis of thin-walled open profile composite beams such as I-beam has been performed. The analysis includes the effects of elastic couplings, shell wall thickness, transverse shear deformation, torsion warping, and constrained warping. A mixed beam approach based on Reissner's semi-complementary energy functional is used to derive the beam force displacement relations. A closed-form solution for the static response of both symmetric and anti-symmetric layup beams with transverse shear couplings is derived. The beams considered have the boundary condition of one end fixed and the other end warping restrained and are subjected to unit bending or torque load at the beam tip. The shear flow distribution related with the applied forces and moments along the contour of the beam is also identified. The static results of composite I-beams have been validated against those of detailed two-dimensional finite element analysis. The effects of warping restraint and transverse shear deformation on the static behavior of open-section composite beams "are investigated in the analysis.
机译：在这项工作中，已经完成了对薄壁开放轮廓复合梁（如工字梁）的封闭形式分析。分析包括弹性联轴器，壳壁厚度，横向剪切变形，扭转翘曲和约束翘曲的影响。基于Reissner半互补能量函数的混合梁方法被用来导出梁力的位移关系。推导了具有横向剪力耦合的对称和反对称叠置梁静响应的闭式解。所考虑的梁具有固定的一端的边界条件，而另一端的翘曲得到了抑制，并且在梁的顶端受到单位弯曲或扭矩载荷。还确定了与沿梁轮廓施加的力和力矩有关的剪切流分布。已对复合工字梁的静态结果与详细的二维有限元分析的结果进行了验证。在分析中研究了翘曲约束和横向剪切变形对“开放截面组合梁”静力性能的影响。

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