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针对钢-混组合梁构造复杂、材料多样、不确定性强的特点,从随机不确定性的角度来研究钢-混组合梁,基于Newmark几何模型,将钢-混组合梁的混凝土板、钢梁以及剪力连接件作为整体单元考虑,通过采用T.L列式增量法,提出并推导了考虑纵向滑移效应的非线性组合梁单元模型。结合直接微分法,对组合梁的结构响应梯度进行了计算分析;并由FORM法计算得到可靠度指标,对钢-混组合梁算例进行了随机有限元可靠度分析。计算结果表明:在实际工程中,并不需要完全刚性连接来保证结构的可靠性;在保证安全方面,考虑几何非线性来计算结构的可靠度是有必要的。
In view of the complex structure, material diversity and uncertainty of the steel-concrete composite beam, the steel-concrete composite beam is studied from the perspective of random uncertainty. Based on the Newmark geometric model, the concrete slab of steel- Beam and shear connection as a whole unit, by using TL incremental method, the nonlinear composite beam element model considering the effect of longitudinal slip is proposed and deduced. Combined with the direct differential method, the structural response gradient of the composite beam was calculated and analyzed. The reliability index was calculated by the FORM method, and the random finite element reliability analysis of the steel-composite composite beam was carried out. The calculation results show that in practical engineering, the complete rigid connection is not required to ensure the reliability of the structure. To ensure safety, it is necessary to calculate the reliability of the structure in consideration of the geometric nonlinearity.