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为了研究任意荷载作用下集簇式刚性连接工字钢-混组合简支梁桥的应力和位移分布,首先将组合梁桥的三维结构简化为层合的二维弹性力学平面应力问题,分别求得各层简支梁的弹性力学解,然后用集中力替代集簇式刚性连接件对结构的作用力,根据梁桥表面的受力条件以及界面处位移和应力的衔接条件,确定待定未知量,从而得到组合梁桥的应力和位移分布函数.与有限元结果比较显示了该数值解具有很高的精度,参数化分析揭示了集簇式刚性连接组合梁桥的力学特点并且提出了簇钉间距的合理范围,研究结果为新型组合梁桥的工程设计提供了科学的理论依据.
In order to study the stress and displacement distribution of cluster-connected rigid-braced I-beam with composite girder under any load, the three-dimensional structure of the composite girder bridge is simplified to two-dimensional elastic mechanics plane stress problem, Then the elastic mechanics solutions of simply supported beams in all layers are obtained. Then, the force acting on the structure by the cluster rigid connectors is replaced by the concentrated force. According to the stress conditions of the beam bridges and the interface conditions of displacement and stress, the unknown quantity to be determined , And the stress and displacement distribution function of the composite girder bridge is obtained.Compared with the finite element results, this numerical solution shows high precision. Parametric analysis reveals the mechanical characteristics of the clustered rigid connecting composite girder bridge and proposes the cluster nail The reasonable range of the spacing, the research results provide a scientific theoretical basis for the engineering design of the new composite girder bridge.