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本文通过将单轴Bouc-Wen模型扩展至广义多轴Bouc-Wen模型并采用三角形单元进行模拟,能更好的预估结构的滞回反应,进行有针对性的抗震设计和设防。文章通过修改J2混合强化本构关系式,得到Bouc-Wen滞回模型并且将其应用到平面应力三角形单元中,得到具有Bouc-Wen模型滞回特性的三角形单元。同时采用显示积分算法求解上述Bouc-Wen模型的应力增量,用回退映射法(returning mapping)确定双线性本构模型的应力增量。运用虚功原理和直接刚度法得到整体平衡方程,并采用牛顿迭代法和平均加速度法求解结构的静力和动力反应。最终,对比模拟结果表明,Bouc-Wen滞回单元可高效用于静力、拟静力和非线性时程分析,并且可以用来模拟多种滞回反应,具有良好的通用性和耗能能力。
In this paper, by extending the uniaxial Bouc-Wen model to the generalized multi-axis Bouc-Wen model and using the triangular elements to simulate it, the hysteretic response of the structure can be better predicted, and the targeted seismic design and fortification can be carried out. In this paper, Bouss-Wen hysteresis model is obtained by modifying the J2 hybrid hardening constitutive equation, and then applied to the plane stress triangle element to obtain the triangular element with the hysteretic characteristics of Bouc-Wen model. At the same time, the stress integral of the Bouc-Wen model is solved by the display integral algorithm, and the stress increment of the bilinear constitutive model is determined by the returning mapping. The whole balance equation is obtained by using virtual work principle and direct stiffness method, and the static and dynamic responses of the structure are solved by Newton iteration method and average acceleration method. Finally, the comparative simulation results show that the Bouc-Wen hysteresis element can be used efficiently in static, quasi-static and nonlinear time history analysis, and can be used to simulate a variety of hysteresis reactions with good versatility and energy dissipation .