热氧老化下废旧叠层轮胎隔震垫恢复力模型

doi:10.13229/j.cnki.jdxbgxb20191055

摘要/Abstract

摘要：

为研究热氧老化作用下废旧叠层轮胎隔震垫（STP）的恢复力模型，对不同老化时间下的STP进行低周往复加载试验，分析STP的滞回耗能特性。基于双弹簧模型，同时结合STP拟静力试验结果，提出了适用于叠层轮胎隔震垫恢复力模型，建立了不同老化时间和设计压应力下叠层轮胎隔震垫的双弹簧恢复力模型。通过MATLAB模拟滞回性能与试验滞回性能对比，验证了该模型可以很好地反映STP的耗能性能。结果表明：随着老化时间的增加，STP的水平等效刚度、单位循环耗能面积和等效阻尼比均先增加后减小，在实际老化50 a时三者达到最大，满足村镇建筑50 a内的隔震耗能；建立的热氧老化条件下的恢复力模型能够较好地模拟STP在不同老化时间、不同设计压应力下的滞回特性，可为STP在隔震建筑中的应用提供理论参考。

关键词: 热氧老化, 废旧叠层轮胎隔震垫, 双弹簧恢复力模型, 设计压应力

Abstract:

In order to study the restoring force model of Scarp Tire Rubber Pads (STPs) under the thermal oxidation aging, cyclic loading tests with different aging time were performed and the hysteretic dissipated energy characteristics of STPs were analyzed. Based on the double spring model, and combined with the results of STP pseudo-static test, this paper presented a restoring force model for STPs and established a two-spring restoring force model for STPs with different aging time and design compressive stress. By comparison of MATLAB simulation of hysteretic performance and experimental hysteretic performance, it is verified that the model could well reflect the energy dissipation performance of STPs. The results show that, with the increase of aging time, the horizontal equivalent stiffness, unit cycle energy dissipation area and equivalent damping ratio of STPs all increase first and then decrease, reaching the maximum in actual aging of 50 a, which can meet the isolation energy consumption of rural buildings within 50 a. The establish restoring force model under the condition of hot oxygen aging can better simulate the hysteretic characteristics of STPs under different aging time and different design compressive stress, which can provide theoretical reference for the application of STPs in isolated buildings.

Key words: thermo-oxidative aging, scarp tire rubber pads, double spring restoring force model, design compressive stress

中图分类号:

TU352.12

张广泰,王明阳,郭俏君,章金鹏,陆东亮. 热氧老化下废旧叠层轮胎隔震垫恢复力模型[J]. 吉林大学学报(工学版), 2021, 51(4): 1306-1316.

Guang-tai ZHANG,Ming-yang WANG,Qiao-jun GUO,Jin-peng ZHANG,Dong-liang LU. Scarp tire rubber pads′s practical restoring force model under the effect of thermal oxidation aging[J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(4): 1306-1316.

图/表 17

图1

图2

图3

图4

图5

表1

图6

图7

图8

表2

STP的特征参数"

老化时间/h	P=4 MPa			P=5 MPa			P=6 MPa
老化时间/h	F_Y/kN	Y/mm	$?$	F_Y/kN	Y/mm	$?$	F_Y/kN	Y/mm	$?$
0	11.8	20.4	0.883	37.4	25.0	0.919	44.2	29.9	1.020
77	30.9	12.6	0.937	47.0	28.8	0.607	86.9	40.2	0.759
154	34.7	5.0	0.976	56.4	37.6	1.030	173.0	66.6	0.897
231	37.8	11.6	0.880	25.2	23.1	0.667	98.1	42.1	0.735
308	38.1	7.0	0.914	6.0	14.3	0.778	56.3	30.0	1.030

表2

图9

表3

表4

表5

表6

表7

表8

参考文献 15

1	Ahmet T, Bayezid Ö. Seismic base isolation using low-cost scrap tire pads (STP)[J]. Materials and Structures, 2008, 41(5):891-908.
2	张广泰,陆东亮,魏飞来,等.热氧老化条件下废旧叠层轮胎隔震垫的力学性能[J].华南理工大学学报:自然科学版,2019,47(8):16-22.
	Zhang Guang-tai,Lu Dong-liang,Wei Fei-lai,et al.Mechanial properties of scarp tire rubber pads based on thermal oxygen aging[J].Journal of South China University of Techology(Nature Science Edition),2019,47(8):16-22.
3	孟庆利,冯浩.铅芯废旧轮胎隔震垫(LRTP)力学性能试验研究[J].土木工程学报,2018,51(1):58-67.
	Meng Qing-li,Feng Hao. The experimental study on mechnical behavior of Lead Recycle Tire Pads (LRTP)[J]. China Civil Engineering Journal, 2018,51(1):58-67.
4	张广泰,陆东亮,章金鹏,等.老化-荷载耦合下叠层轮胎隔震垫的竖向力学性能[J].材料导报,2019(18):3140-3146.
	Zhang Guang-tai,Lu Dong-liang,Zhang Jin-peng,et al.Vertical mechanical properties of scrap tire rubber pads under aging-loading[J]. Materials Reports,2019(18): 3140-3146.
5	熊世树,周正华,王补林.铅芯橡胶隔震支座恢复力模型的分析方法[J].华中科技大学学报:城市科学版,2003(2):28-31.
	Xiong Shi-shu,Zhou Zheng-hua,Wang Bu-lin. Analysis of hysteresis model of lead-rubber laminated bearing[J]. Journal of Wuhan Urban Construction Institute, 2003(2):28-31.
6	金建敏,周福霖,谭平.铅芯橡胶支座微分型恢复力模型屈服前刚度的研究[J].工程力学,2010,27(10):7-13.
	Jin Jian-min,Zhou Fu-lin,Tan Ping. Study on pre-yield shear stiffness of differential restoring force model for lead rubber bearing[J]. Engineering Mechanics, 2010,27(10):7-13.
7	汪新明.橡胶隔震支座非线性建模及参数识别研究[D].南京:南京航空航天大学航空宇航学院,2018.
	Wang Xin-ming. Research on nonlinear modeling and parameter identification of rubber isolation bearings[D]. Nanjing:College of Aerospace Engineering,Nanjing Aerospace University,2018.
8	Pan T C,Yang G.Nonlinar analysis of base-isolated MOOF structures[J].Proceedings of the 11th Word Conference on Earthquake Engineering, Mexico,1996:No.1534.
9	Robert J.Noninear rate dependent model of high damping rubber bearing[J]. Bulletion of Earthquake Engineering,2004, 8(1):397-403.
10	Koh CG,Kelly J M.A simple mechanical model for elastomeric bearings used in based isolation[J]. International Journal of Mechanical Sciences, 1998,30(12):933-943.
11	Kikuchi M,Yamamoto S,Aiken I D.An analytical model for lead-rubber bearing sunder large demations[J]. Proceedings of the 8th Pacific Conference on Eartuquake Engineering,Singpore, 2007:222.
12	Dall Asta A,Ragni L.Experimental tests analytical model of high damping rubber d isspating devices[J]. Engineering Structures,2006,28(13):1874-1884.
13	Bhuiyan A R,Okui Y,Mitamura H,et al.A rheology model of high damping rubber bearings for seismic analysis:Identification of nonlinear viscosity[J].International Journal of Solids and Structures,2009,46(7,8):1778-1792.
14	中国建筑标准设计研究所.建筑隔震橡胶支座:JG118—2000[M].北京:中国建筑工业出版社,2000.
15	中华人民共和国国家标准.公路桥梁板式橡胶支座第一部分:橡胶隔震支座试验方法[S].北京:中国标准出版社,2007.

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试件编号	温度 /℃	试验时间 /h	相当条件	试件个数
STP?25?X	100	77	20 ℃×25 a	15
STP?50?X	100	154	20 ℃×50 a	15
STP?75?X	100	231	20 ℃×75 a	15
STP?100?X	100	308	20 ℃×100 a	15

P/ MPa	t/a			±15 mm			±30 mm			±45 mm			±60 mm
P/ MPa	t/a			D/（kN·mm^-1）	K/（kN·mm^-1）	（D-K）/K	D/（kN·mm^-1）	K/（kN·mm^-1）	（D-K）/K	D/（kN·mm^-1）	K/（kN·mm^-1）	（D-K）/K	D/（kN·mm^-1）	K/（kN·mm^-1）	（D-K）/K
4		0	2.84		2.95	-0.04	2.61	2.82	-0.07	1.92	1.95	-0.02	1.51	1.54	-0.02
		25	3.03		3.13	-0.03	2.88	3.18	-0.09	2.10	2.31	-0.09	1.60	1.67	-0.04
		50	3.11		3.27	-0.05	2.93	2.54	0.15	2.22	2.00	0.11	1.67	1.64	0.02
		75	2.95		3.15	-0.06	2.74	2.95	-0.07	1.92	2.07	-0.77	1.83	1.61	0.13
		100	2.92		3.20	-0.08	2.53	2.74	-0.08	1.83	1.95	-0.06	1.47	1.48	-0.01
5		0	3.24		3.36	-0.04	2.74	3.06	-0.10	2.03	2.19	-0.07	1.50	1.55	-0.03
		25	3.56		3.90	-0.09	2.95	2.73	0.08	2.27	2.20	0.03	1.62	1.75	-0.07
		50	3.65		3.62	-0.01	3.16	2.87	0.10	2.37	2.18	0.09	1.81	1.75	0.03
		75	3.47		3.64	-0.05	3.10	3.32	-0.07	2.33	2.37	0.02	1.69	1.86	0.09
		100	3.33		3.80	-0.12	2.87	3.30	-0.13	2.49	2.52	-0.01	1.58	1.72	0.08
6		0	3.48		3.87	-0.10	3.13	3.61	-0.13	2.78	2.92	-0.05	2.25	2.55	-0.12
		25	3.66		3.32	0.10	3.28	3.11	0.05	2.89	3.14	-0.08	2.43	2.40	0.01
		50	3.78		3.54	0.07	3.47	3.31	0.05	3.10	2.75	0.13	2.61	2.35	0.11
		75	3.59		3.77	-0.05	3.21	3.61	-0.11	3.01	2.92	0.03	2.31	2.38	-0.03
		100	3.20		3.55	-0.10	3.10	2.87	0.08	2.75	2.38	0.15	2.22	2.39	-0.07

P/MPa	t/a	±15 mm			±30 mm			±45 mm			±60 mm
P/MPa	t/a	D/（kN·mm^-1）	K/（kN·mm^-1）	（D-K）/K	D/（kN·mm^-1）	K/（kN·mm^-1）	（D-K）/K	D/（kN·mm^-1）	K/（kN·mm^-1）	（D-K）/K	D/（kN·mm^-1）	K/（kN·mm^-1）	（D-K）/K
4	0	263	282	-0.07	1331	1440	-0.08	3495	3556	-0.02	5961	6064	-0.02
	25	311	327	-0.05	1536	1613	-0.05	3880	4104	-0.05	6679	6975	-0.04
	50	419	458	-0.08	1574	1720	-0.09	3691	4051	-0.09	6174	6996	-0.12
	75	375	404	-0.07	1991	2147	-0.07	4379	4737	-0.08	7041	7647	-0.08
	100	322	349	-0.08	1476	1603	-0.08	3803	4137	-0.08	6563	7170	-0.08
5	0	302	277	0.09	1565	1617	-0.03	3867	4091	-0.05	6955	7049	-0.01
	25	281	307	-0.08	1024	1119	-0.09	2569	2705	-0.05	5223	5647	-0.08
	50	300	307	-0.02	1420	1400	0.01	3468	3522	-0.02	6108	6375	-0.04
	75	327	292	0.12	1555	1640	-0.05	3877	3939	-0.02	6851	7396	-0.07
	100	295	303	-0.03	1391	1428	-0.03	3658	3684	-0.01	6792	7175	-0.05
6	0	337	345	-0.02	1334	1365	-0.02	3230	3280	-0.02	6001	6263	-0.04
	25	318	345	-0.08	1534	1666	-0.08	4132	4493	-0.08	7483	8175	-0.08
	50	384	366	0.05	1473	1405	0.05	3793	3754	0.01	6888	7276	-0.05
	75	350	324	0.08	1534	1421	0.08	3973	3744	0.06	7637	8003	-0.05
	100	365	258	0.02	1595	1130	0.12	4152	3044	0.08	7836	8398	-0.07

P/MPa	t/a	±15 mm			±30 mm			±45 mm			±60 mm
P/MPa	t/a	D /%	K/%	（D-K）/K/%	D/%	K /%	（D-K）/K/%	D /%	K /%	（D-K）/K/%	D /%	K /%	（D-K）/K/%
4	0	6.78	6.80	-0.29	9.02	9.01	0.11	14.0	14.30	-2.10	17.40	17.40	0.00
	25	7.15	7.17	-0.28	8.97	8.96	0.11	14.3	14.00	2.14	18.50	18.50	0.00
	50	8.36	8.37	-0.12	12.00	12.00	0.00	15.9	15.90	0.00	18.60	18.90	-1.59
	75	9.08	9.10	-0.22	12.90	12.90	0.00	17.9	18.00	-0.56	21.10	21.00	0.48
	100	7.71	7.72	-0.13	10.30	10.30	0.00	16.7	16.70	-0.00	20.00	21.40	-6.54
5	0	6.59	6.84	-3.65	7.51	8.32	-9.74	12.9	14.70	-12.20	18.30	20.00	-8.50
	25	7.25	7.52	-3.59	8.97	8.24	8.86	12.7	11.60	9.48	16.10	14.30	12.58
	50	8.30	8.35	-0.60	9.37	8.63	8.57	14.7	13.70	7.30	17.90	16.10	7.53
	75	8.70	7.84	10.97	9.35	8.74	6.98	13.1	13.10	0.00	20.00	18.60	0.61
	100	7.64	7.67	-0.39	7.67	7.40	3.64	11.9	11.50	3.48	16.60	16.50	0.00
6	0	6.30	6.35	-0.79	6.32	6.68	-5.39	8.24	8.81	-6.47	10.83	10.83	0.00
	25	7.34	7.34	0.00	7.18	7.17	0.14	10.8	11.20	-3.57	13.65	15.02	-9.12
	50	8.27	8.35	-0.09	7.33	7.51	-2.40	11.2	10.70	4.67	15.04	14.65	2.66
	75	7.51	8.31	-9.63	6.95	6.95	0.00	10.1	10.10	0.00	14.01	13.99	0.14
	100	7.16	7.18	-0.28	6.95	6.95	0.00	10.07	10.07	0.00	13.80	13.81	-0.07

统计量		位移幅值/mm				老化时间/h					竖向荷载/MPa
统计量		±15	±30	±45	±60	0	77	154	231	308	4	5	6
均值/（kN·mm^-1）	试验	3.32	2.98	2.34	1.87	2.50	2.69	2.82	2.68	2.48	2.33	2.56	3.01
均值/（kN·mm^-1）	模拟	3.48	3.09	2.39	1.95	2.70	2.75	2.65	2.80	2.70	2.41	2.69	3.05
标准差/（kN·mm^-1）	试验	0.30	0.26	0.43	0.38	0.66	0.69	0.69	0.65	0.64	0.57	0.73	0.48
标准差/（kN·mm^-1）	模拟	0.29	0.32	0.38	0.41	0.76	0.68	0.69	0.73	0.70	0.66	0.76	0.50