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采用辅助体系法导出了等直梁的传递矩阵;采用单分量模型模拟弹塑性阶段的梁单元,从弯矩与杆端力的恢复力模型中分离出弯矩与塑性转角的关系,导出了塑性铰的点矩阵,从而推导了弹塑性阶段杆元三种不同情况的传递矩阵。通过实例计算,辅助体系传递矩阵法与有限元法的结果进行比较,表明辅助体系法的正确性及高效性。本文结果可用于等直梁结构的弹塑性分析。
The transfer matrix of straight beam is deduced by using the auxiliary system method. The single element model is used to simulate the beam element in the elasto-plastic phase. The relationship between bending moment and plastic rotation angle is deduced from the restoring force model of bending moment and rod force, Hinge point matrix, thus deducing the elastic-plastic phase rod three different transfer matrix. Through the example calculation, the results of the matrix transfer method and the finite element method of the auxiliary system are compared, which shows the correctness and efficiency of the auxiliary system method. The results of this paper can be applied to the elasto-plastic analysis of straight beam structures.