X形和三角形钢板阻尼器的阻尼力模型(Ⅰ)——基于双线性本构关系

Damping force hysteresis loop models for X type and triangle mild steel dampers(Ⅰ) ——Based on double linear constitutive model

利用软钢的双线性本构关系,依据经典力学原理推导建立了X形和三角形钢板阻尼器的阻尼力滞回模型。首先,导出了单调加载下钢板阻尼器的力与位移关系及其渐近曲线;其次,对于软钢材料本构关系分别考虑在理想弹塑性和双线性强化模型基础上,推导建立了钢板阻尼器的阻尼力模型;最后,将钢板阻尼器的阻尼力模型及其参数与试验结果进行了比较,验证了理论模型的有效性,并分析了误差存在的原因。

Based on double linear constitutive model of mild steel,damping force hysteresis loop models of the X-type and the triangle type mild steel dampers are derived from classic mechanical principle directly. Firstly, the relationship and its asymptote between force and displacement of the steel plate damper are deduced under monotonic loading. Secondly, damping force hysteresis loop models for mild steel plate damper are deduced under considering the ideal elastic-plastic model and the linear hardening model respectively. Finally, the comparison of theory and experiment is carried out,and the effectiveness of theoretical models is verified. Moreover, the reason of errors is analyzed.