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目前在进行弹性地基上框架的内力分析时,一般均采用力法;当框架构件为变截面、或框架为多层多跨时,用力法计算此类结构物是十分复杂的。本文利用潘家铮先生提出的用弯矩分配法计算单层单跨弹性地基上框架的基本思想、加以深化和改进,并结合逐次渐近法釆解算弹性地层上多层多跨框架的内力。本文阐述了用弯矩分配法解弹性地基框架的基本原理,详细说明了用此法计算浅埋地下鉄道车站的具体步骤,并列出了三跨框架和台阶形弹性地基梁弹性常数的计算公式。用此法计算弹性地基上框架内力能收简便之效;特别是用此法来计算构件为变截面的弹性地基上多层多跨框架时,则其优点尤为突出。用本法解算结构物内力的过程中,还极易看出底版变形对上部框架内力的影响。
At present, when the internal force analysis of the frame on the elastic foundation is carried out, the force method is generally adopted. When the frame component is a variable section or the frame is multi-layer and multi-span, it is very complicated to calculate the structure by the force method. In this paper, the basic idea of calculating the frame of single-layer and single-span elastic foundation by the method of bending moment distribution proposed by Pan Jiazheng is deepened and improved, and combined with successive asymptotic method to solve the internal force of multi-layer and multi-span frame on elastic formation. In this paper, the basic principle of the elastic foundation frame with moment distribution method is expounded. The concrete steps of calculating the shallow underground station with this method are described in detail, and the formulas for calculating the elastic constants of three-span frame and step- . The advantage of using this method to calculate the internal force of the frame on the elastic foundation can be easily and conveniently obtained. Especially when this method is used to calculate the multi-layer and multi-span frame on the elastic foundation with variable section, the advantages are obvious. In the process of calculating the internal force of the structure by this method, it is also easy to see the influence of the bottom plate deformation on the internal force of the upper frame.