基于BP神经网络算法的结构振动模态模糊控制

doi:10.6040/j.issn.1672-3961.0.2019.509

摘要/Abstract

摘要：

为了更合理、方便地控制土木工程结构地震动力反应,提出基于反向传播(back propagation, BP)神经网络的结构振动模态模糊控制算法。以结构地震动力反应数据训练神经网络建立结构分析模型,以时域模态坐标作为被控变量,实现系统降阶,使建立模态模糊控制规则所需要的模糊推理数量处于可接受范围内,并以体系能量最小作为控制目标制定控制规则。建立结构动力反应模糊控制数值模型,根据计算地震动力反应评价所提出算法的减震效果。结果表明:经过训练的BP神经网络可以准确地预测结构的地震动力反应,并可以据此建立模糊控制规则。仅对结构第一阶振型采用模态模糊控制就能达到满意的减震效果。采用主动质量驱动(active mass driver, AMD)最优控制力幅作为各楼层控制力的论域时,模态模糊控制减震效果与其存在差距;增大控制力的论域,可以得到更好的减震效果。

关键词: 神经网络, 状态变量, 模态模糊控制, 主振型, 层间位移

Abstract:

In order to control the seismic response of civil engineering structures more reasonably and conveniently, a fuzzy control algorithm based on BP neural network was proposed. The neural network was trained with the structural seismic dynamic response data to establish the structural analysis model, and the time-domain modal coordinates were taken as the controlled variables to reduce the order of the system, so that the number of fuzzy reasoning required to establish the modal fuzzy control rules was within the acceptable range, and the system energy minimum was taken as the control target to formulate the control rules. The fuzzy control numerical model of structural dynamic response was established to evaluate the damping effect of the proposed algorithm based on the calculated value of seismic dynamic response. The results showed that the trained BP neural network could accurately predict the seismic dynamic response of the structure and establish fuzzy control rules accordingly. Using mode fuzzy control only for the first mode of the structure could achieve satisfactory damping effect. When active mass driver(AMD) optimal control amplitude was used as the control domain of each floor, the damping effect of modal fuzzy control was different from it. A better damping effect could be obtained by increasing the control field.

Key words: neural network, state variables, fuzzy mode control, principle modes, inter-storey drift

中图分类号:

TU352.1

王志伟,葛楠,李春伟. 基于BP神经网络算法的结构振动模态模糊控制[J]. 山东大学学报 (工学版), 2020, 50(5): 13-19.

Zhiwei WANG,Nan GE,Chunwei LI. Fuzzy control of structure vibration mode based on BP neural network algorithm[J]. Journal of Shandong University(Engineering Science), 2020, 50(5): 13-19.

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楼层	模糊控制U_A=3				模糊控制U_A=7				无控制
楼层	层间位移/mm	层间位移减震效率/%	楼层加速度/(m·s^-2)	楼层加速度减震效率/%	层间位移/mm	层间位移减震效率/%	楼层加速度/(m·s^-2)	楼层加速度减震效率/%	层间位移/mm	楼层加速度/(m·s^-2)
1	19.81	16.13	2.88	-10.34	12.15	48.59	2.17	16.85	23.62	2.61
2	19.65	15.80	5.55	-8.53	12.11	48.13	4.05	20.79	23.34	5.12
3	19.40	15.15	7.86	-6.35	12.04	47.34	5.76	22.09	22.86	7.39
4	19.14	14.10	9.49	-0.83	11.97	46.31	7.31	22.35	22.28	9.42
5	18.92	12.53	10.62	6.57	11.82	45.33	7.70	32.19	21.63	11.36
6	18.63	10.57	11.08	14.08	11.52	44.71	7.36	42.92	20.84	12.90
7	18.55	6.48	11.54	17.56	11.11	44.00	8.50	39.25	19.83	13.99
8	18.38	1.15	11.88	19.14	10.69	42.50	10.42	29.07	18.59	14.69
9	18.02	-5.21	12.25	23.70	10.28	40.00	11.66	27.40	17.13	16.06
10	17.42	-11.92	12.52	27.46	9.83	36.85	12.21	29.25	15.57	17.25
11	16.56	-17.77	12.54	29.64	9.40	33.15	12.15	31.84	14.06	17.83
12	15.43	-18.63	13.67	23.01	9.01	30.71	11.89	33.03	13.01	17.75
13	14.07	-15.46	15.12	11.71	8.60	29.44	11.53	32.65	12.18	17.12
14	12.52	-10.82	16.27	-0.61	8.07	28.61	10.78	33.36	11.30	16.17
15	10.92	-6.49	17.16	-11.72	7.37	28.13	9.75	36.51	10.26	15.36
16	9.38	-4.21	17.79	-14.14	6.51	27.68	8.45	45.75	9.00	15.58
17	7.77	-3.28	18.16	-11.65	5.46	27.39	8.43	48.15	7.53	16.26
18	6.03	-3.21	18.47	-3.18	4.26	27.14	9.64	46.14	5.84	17.90
19	4.12	-3.33	19.48	-1.44	2.92	26.91	11.58	39.70	3.99	19.20
20	2.09	-3.43	20.24	-1.38	1.48	26.73	12.73	36.24	2.02	19.96