基于改进Bouc-Wen模型的RC柱数值模拟方法

doi:10.13229/j.cnki.jdxbgxb.20220670

摘要/Abstract

摘要：

为模拟钢筋混凝土（RC）柱进入非线性状态后的力学性能，首先，提出了一种改进Bouc-Wen模型，从刚度退化、捏拢效应与非对称特性等方面对Bouc-Wen-Baber-Noori（BWBN）模型进行修正，并结合参数规一化处理与混沌粒子群算法建立模型参数识别方法。然后，实现了改进Bouc-Wen材料在OpenSees平台中的二次开发，并应用该材料定义RC柱塑性铰的弯矩-转角关系，完成基于集中塑性铰模型的RC柱数值建模。最后，根据钢筋混凝土柱的低周往复加载试验数据，分别通过直接识别水平恢复力-侧移曲线与集中塑性铰数值建模的方法描述RC柱的滞回特性。与试验结果对比表明：改进Bouc-Wen模型模拟精度较BWBN模型有明显提高；纤维模型的计算精度依赖设计信息的准确性，未能较好地模拟经历性能变化后RC柱的非线性响应；基于改进Bouc-Wen模型的数值建模方法能够更为准确地模拟经历震损后RC柱的刚度退化、捏拢效应与非对称特性。

关键词: RC柱, 集中塑性铰模型, Bouc-Wen模型, 参数识别

Abstract:

In order to simulate the mechanical properties of reinforced concrete（RC） columns within nonlinear state， In this paper， an modified Bouc-Wen model is proposed to improve the Bouc-Wen-Baber-Noori （BWBN） model from the aspects of stiffness degradation， pinching effect and asymmetric characteristics. In the meantime， an identification method of model parameters is established by combining parameter normalization processing and chaotic particle swarm optimization algorithm. Furthermore， secondary development for modified Bouc-Wen material is presented in OpenSees. Afterwards， the proposed material is applied to describe the moment-rotation relationship of plastic hinge of RC columns and numerical modeling of RC columns based on concentrated plastic hinge is completed. According to the low-cyclic loading test data of RC columns， the hysteretic characteristics of RC columns are described by directly identifying the horizontal force-displacement curve and numerical modeling based on lumped plastic hinge model. The results show that the accuracy of the modified Bouc-Wen model is significantly higher than that of BWBN model. The calculation accuracy of fiber model depends on the accuracy of components information， which fails to simulate the nonlinear response of RC columns after performance change. The numerical modeling method based on the modified Bouc-Wen model can rationally simulate the degradation， pinching effect and asymmetric characteristics of RC columns after earthquake damage.

Key words: RC column, lumped plastic hinge model, Bouc-Wen model, parameter identification

中图分类号:

TU375.3

郭玉荣,潘建中. 基于改进Bouc-Wen模型的RC柱数值模拟方法[J]. 吉林大学学报(工学版), 2024, 54(4): 1028-1037.

Yu-rong GUO,Jian-zhong PAN. Numerical simulation method for reinforced concrete columns based on modified Bouc-Wen model[J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(4): 1028-1037.

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	编号	参数	物理意义
形状控制	1	k	规一化线性刚度
	2	α	屈服后刚度比
	3	β	加卸载滞回参数
	4	γ	加卸载滞回参数
	5	n	弹塑性过渡段参数
	6	v	非对称参数
退化控制	7	δ_ν	强度退化速率
	8	δ_η	刚度退化速率
	9	ξ_η	刚度退化速率控制系数
捏拢控制	10	σ	捏拢效应影响范围
	11	ρ	捏拢处总滑移量
	12	u	捏拢处刚度退化速率

编号	边界形式	L/mm	B/mm	H/mm	N₀ /kN	f_c /MPa	f_yl /MPa	f_yh /MPa	ρ_l /%	ρ_t_/%
C1	悬臂式	750	200	200	256	30.1	481	463	1.21	1.44
C2	双曲率式	3 600	600	600	3 069	35.1	413	416	1.64	1.13

构件	RMSE/%		累积耗能/（kN·m）
构件	BWBN	改进Bouc-Wen	试验值	BWBN	识别/试验	改进Bouc-Wen	识别/试验
C1	21.98	18.58	20.60	21.81	1.06	20.49	0.99
C2	17.09	10.38	1 050.36	923.66	0.91	974.01	0.96

	参数	C1	C2
等效屈服点	θ_y /rad	0.005 4	0.019 9
等效屈服点	M_y /（kN·m）	27.94	745.19
改进Bouc-Wen模型参数	k	1.322	2.135
	α	0.394	0.460
	β	-0.318	-0.230
	γ	0.025	0.002
	n	1.766	1.504
	v	0.923	0.987
	δ_ν	0.036	0.046
	δ_η	0.023	0.054
	ξ_η	2.313	4.043
	σ	11.991	9.938
	ρ	0.540	0.495

构件	RMSE/%		累积耗能/（kN·m）
构件	纤维模型	改进Bouc-Wen模型	试验值	纤维模型	识别/试验	改进Bouc-Wen模型	识别/试验
C1	23.58	19.86	20.60	22.93	1.11	19.97	0.97
C2	53.31	11.78	507.67	816.41	1.61	497.94	0.98