十字交叉梁与地基共同作用的半解析半数值分析方法(英文)
Grillage beams on elastic foundation analyzed by a semi-analytical and semi-numerical method
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摘要: 基于弹性梁理论和Boussinesq解,将弹性地基上的十字交叉梁基础分开为两个方向的梁,通过梁与地基以及梁与梁之间的力与位移平衡协调分析,得出了十字交叉梁基础与地基共同作用的半解析解。同时对十字交叉梁与地基共同作用的影响因素进行了分析。本文方法收敛性好,计算速度快,精度可靠,算例表明了方法的正确性和实用性。Abstract: Based on the theory of elastic beam and Boussinesq solution,a semi-analytical and semi-numerical method,which made use of compatible analysis of force and displacement between grillage beams and ground,was developed to analyze interaction between grillage foundation beams and subsoil with considering grillage foundation beams as a composite system of beams in two directions. The results converged well and had credible precision. Numerical examples proved that this method had good preciseness and practicality. And the influencing factors of interaction between grillage beams and subsoil were discussed.