摘要
基于二维弹性力学理论,研究了集簇式组合梁桥的自由振动特性。将组合梁桥等效为二维的层合梁模型,分别建立了各单层梁的自由振动微分方程,求得了简支边界条件下各层梁的弹性力学解。假定集簇式剪力件是刚性连接件,用待定集中力代替其提供的水平剪力,根据组合梁上、下表面的边界条件和层间应力、位移的协调关系,得到了简支组合梁桥自由振动特性的精确解析解,通过数值计算分析了簇钉间距对组合梁桥固有频率的影响。研究结果表明:理论结果与有限元ABAQUS解具有较好的一致性,最大误差仅为2.3%;组合梁桥的固有频率随着簇钉间距的减小而增大,当簇钉间距较小时,频率变化趋势不明显。其结果可为组合梁桥的合理设计提供参考。
Based on the two-dimensional elasticity theory, the dynamic characteristics of composite beam bridge with clustered connectors are investigated. The elasticity solution of the free vibration differential equation in each layer of the simply supported composite beam is derived by simplifying the composite beam bridge structure as a two-dimensional laminated beam. Combined with the boundary conditions of upper and lower surfaces and the continuous conditions of the stress and displacement on interfaces, the exact solutions of natural frequency of the beam are obtained, in which the cluster shears are assumed to be rigid connections and the horizontal shears are described by the concentrated forces. The comparison of the solutions between ABAQUS and the present method shows a good agreement. The natural frequencies of the composite beam bridge increase with the decrease of the distance between cluster nails. The frequencies show no obvious changes when the distance is small. The influence of the cluster nails spacing on the natural frequencies of the composite beam bridge has been analyzed through an example, the present results provide a scientific reference for the design of composite beam bridge.
出处
《应用力学学报》
CAS
CSCD
北大核心
2018年第3期538-543,共6页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金(51478107)
江苏省属高校自然科学研究重大项目(12KJA580002)
江苏省交通厅重大专项(2014Y01)
关键词
组合梁桥
集簇式剪力件
弹性力学解
固有频率
composite beam bridge
clustered shear element
elasticity solution
natural frequency
