基于稳定函数的支撑结构系统临界力计算方法

基于稳定函数，给出了求解支撑结构系统临界力的计算方法，推导了不同荷载作用位置的3种双层支撑结构系统临界力的计算公式.结果表明:基于稳定函数的理论推导公式求出的解析解与二阶弹性分析数值解计算结果相近，误差均在3%以内;双层1~3跨带摇摆柱支撑结构系统总承载力理论值与试验值的结果验证了本文求解支撑结构系统临界力计算方法的准确性.基于稳定函数的支撑结构系统临界力计算方法具有普遍的适用性、较高的计算精度，为工程应用提供理论基础.

Calculation Method of the Critical Force of Support Structure System Based on Stability Function

Based on the stability function， a calculation method for solving the critical force of the support structure system was given， and the calculation formula for the critical force of three double-layer support structure systems at different load positions was derived. The results show that the analytical solution derived from formula based on the stability function theory is similar to the numerical solution of the second-order elastic analysis with an error less than 3%. The accuracy of the calculation method for the critical force of the support structure system was verified by the the theoretical and experimental values of the total bearing capacity of the double-layer 1~3-span rocking column support structure system. The critical force calculation method of the support structure system provides a theoretical basis for engineering applications due to its universal applicability and high calculation accuracy.