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本文以能量原理为基础提出了一种结构非线性全过程分析的数学方法。此方法适用于包括桁架、连续桨及框架在内的各类钢筋砼杆系结构。结构的本构关系可以考虑强度的强化作用和变形超过极限状态后的强度下降,而把理想弹塑性假定做为一种特殊情况来处理。此方法物理意义明确,使用简便,当结构形式复杂或使用计算机做分析时,优点更为突出。本文对Gibson单分量和Clough双分量杆单元模型进行了扩展,并利用扩展后的新模型做了包括下降段在内的钢筋砼框架的非线性全过程分析的计算例题。最后,做了框架结构的试验结果与计算结果的比较,两者符合较好。
Based on the principle of energy, this paper proposes a mathematical method for the analysis of the whole nonlinear process of the structure. This method is applicable to various types of reinforced mast structures including trusses, continuous propellers, and frames. The constitutive relation of the structure can consider the strengthening effect of the strength and the decrease of the strength after the deformation exceeds the limit state, and treat the ideal elastoplastic assumption as a special case. This method has clear physical meaning and is easy to use. When the structure is complex or the computer is used for analysis, the advantages are more prominent. In this paper, Gibson’s single component and Clough’s two-component element model are extended, and using the extended new model, the nonlinear full-process analysis of reinforced concrete frames, including the descending segment, is calculated. Finally, the comparison between the experimental results of the frame structure and the calculated results shows that the two are in good agreement.