中文摘要：

基于交错桁架结构质量和刚度分布均匀的结构特点，将交错桁架结构等效为一根压弯组合杆，通过对压弯组合杆曲率与弯矩及剪力的关系分析，建立了压弯组合杆的平衡微分方程，并基于龙格一库塔法推导出了考虑二阶效应影响的侧移迭代计算公式；采用该方法对交错桁架结构算例在考虑二阶效应和不考虑二阶效应2种情况下的楼层侧移进行了分析，并与有限元软件ANSYS的计算结果进行了对比。结果表明：提出的二阶效应计算方法具有较好的精度。

英文摘要：

Based on the structural characteristics that the distribution of mass and stiffness was symmetrical in staggered truss structure, the load-carrying performance of staggered truss structure was equivalent to a pressure-bend combinational strut. Through the relationship analysis of curvatures and bending moments and shear forces of the pressure-bend combinational strut, balance differential equation of the pressure-bend combinational strut was erected. Based on Runge-Kutta method, the iteration calculation formula of lateral displacement of story was derived considering the influence of second-order effects. Authors analyzed the lateral displacements of story of staggered truss structure examples in the conditions of considering second-order effects or not, and gave a comparative analysis with finite element software ANSYS. Results show that the calculation method of second-order effect proposed in the paper has a good precision.