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弹性补偿有限元法是一种简单、高效的结构塑性极限分析方法,目前仅用于采用单一材料的结构体系中。在经典弹性补偿有限元法中引入承载比概念,并据此对算法进行了改进,既保留了算法通过结构广义应力场不断平均化获得下限荷载的基本优化思想,又融入了平均化过程按各种材料的广义强度成比例调整的新思想,结构破坏时每种材料同时趋于各自的广义强度,使算法适用于对采用多种材料的结构体系做塑性极限分析。经典算例的对比分析表明,改进算法的分析结果是收敛的、准确的和稳定的。对复杂钢框架结构的极限荷载和破坏模式分析也表明,改进算法可用于采用多种材料的实际工程结构的安全评价中。
The elastic compensation finite element method is a simple and efficient method for structural plastic limit analysis. It is only used in the structural system of a single material. The concept of bearing ratio is introduced in the classical elastic compensation FEM, and the algorithm is improved accordingly. The algorithm not only retains the basic optimization idea that the algorithm obtains the minimum load through the continuous averaging of the generalized stress field, but also integrates the averaging process according to The new idea that the general intensity of materials is adjusted proportionally, and each material tends to the generalized intensity at the same time when the structure is destroyed makes the algorithm suitable for the plastic limit analysis of the structural system using a variety of materials. The comparative analysis of the classical examples shows that the analysis results of the improved algorithm are convergent, accurate and stable. The analysis of the ultimate load and failure modes of the complex steel frame structure also shows that the improved algorithm can be used in the safety evaluation of the actual engineering structure using a variety of materials.