Calculation of Fatigue Life of Rubber Vibration Isolators Under Random Vibration Loads

doi:10.12141/j.issn.1000-565X.240118

Abstract

Abstract:

In order to effectively calculate the fatigue life of rubber vibration isolator under random vibration loads, a rubber vibration isolator for air conditioning compressor of an electric vehicle was taken as the research object, and the road spectrum acquisition of rubber vibration isolator was carried out, by which the acceleration signals versus time of rubber vibration isolator were obtained. Then, Fourier transform was used to transform the acceleration signals into the acceleration power spectral density as load input, and a random vibration test of rubber vibration isolator for compressor was carried out under variable temperature and constant humidity conditions, with the cracking of main spring of rubber vibration isolator being observed. Moreover, a finite element model of rubber vibration isolator was established, with its validity being verified by static characteristic tests as the relative error between simulation value and test value is within ±5%. In addition, frequency response of rubber vibration isolator under unit load was analyzed by ABAQUS, that is, extracting and importing stress response PSD of rubber element into Fe-safe, and using acceleration PSD as load input to calculate the fatigue life. The calculated results were compared with the random vibration test results, finding that the predicted life is consistent with test data, with a relative error of only 2.5%, and that fatigue danger position of rubber vibration isolator unit can be effectively predicted. Finally, the structure of rubber vibration isolator was improved, through which the fatigue life of rubber vibration isolator is 2.8 times that before the improvement, meaning that the fatigue life design requirements are successfully met. This study helps to shorten the design cycle of rubber vibration isolator and reduce the cost of sample test.

Key words: rubber vibration isolator, fatigue life, finite element analysis, durability test, power spectral density

CLC Number:

U467.11

LI Min, YAO Qishui. Calculation of Fatigue Life of Rubber Vibration Isolators Under Random Vibration Loads[J]. Journal of South China University of Technology(Natural Science Edition), 2024, 52(12): 14-21.

Figures/Tables 15

Fig.1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Table 1

Viscoelastic material parameters of rubber"

$i$	$g i$	$τ i$
1	0.111 3	0.339 7
2	0.075 8	0.010 0
3	0.193 6	0.000 6

Table 1

Table 2

Fig.8

Table 3

Fig.9

Fig.10

Fig.11

Fig.12

References 20

1	陈克，骆嘉晖．纯电动汽车动力总成悬置系统隔振性能研究［J］．中国工程机械学报，2021，19（6）：492-499．
	CHEN Ke， LUO Jiahui ．Research on vibration isolation performance of powertrain mount system of battery electric vehicle［J］．Chinese Journal of Construction Machinery，2021，19（6）：492-499．
2	LIU X， ZHAO X， SHANGGUAN W ．Fatigue life prediction of natural rubber components using an artificial neural network［J］．Fatigue & Fracture of Engineering Materials & Structures，2022，45（6）：1678-1689．
3	YOUNG D G ．Application of fatigue methods based on fracture mechanics for tire compound development［J］．Rubber Chemistry and Technology，1990，63（4）：567-581．
4	XIAN J， SU C， WANG Z ．Non-stationary non-Gaussian random vibration analysis of Duffing systems based on explicit time-domain method［J］．Structural Safety，2023，105：102368/1-16．
5	LEI W， JIANG Y， ZENG X，et al ．A novel excitation signal generation technology for accelerated random vibration fatigue testing based on the law of kurtosis transmission［J］．International Journal of Fatigue，2022，159：106835/1-11．
6	LUO Z， CHEN H， HE X，et al ．Two time domain models for fatigue life prediction under multiaxial random vibrations［J］．Proceedings of the Institution of Mechanical Engineers，Part C：Journal of Mechanical Engineering Science，2019，233（13）：4707-4718．
7	ZUO P， SHI X， HUANG Z，et al ．Random vibration analysis of composite laminated conical-cylindrical cabin structures of air vehicles considering thermal load［J］．Structures，2023，55：626-637．
8	WU S， SHANG D， LIU P，et al ．Fatigue life prediction based on modified narrowband method under broadband random vibration loading［J］．International Journal of Fatigue，2022，159：106832/1-10．
9	GAO D， YAO W， WEN W，et al ．A multiaxial fatigue life prediction method for metallic material under combined random vibration loading and mean stress loading in the frequency domain［J］．International Journal of Fatigue，2021，148：106235/1-15．
10	GE J， SUN Y， ZHOU S，et al ．A hybrid frequency-time domain method for predicting multiaxial fatigue life of 7075-T6 aluminium alloy under random loading［J］．Fatigue & Fracture of Engineering Materials & Structures，2015，38（3）：247-256．
11	SANTHARAGURU N， ABDULLAH S， CHIN C H，et al ．Failure behaviour of strain and acceleration signals using various fatigue life models in time and frequency domains［J］．Engineering Failure Analysis，2022，139：106454/1-26．
12	AMINI Y， FATEHI P， HESHMATI M，et al ．Time domain and frequency domain analysis of functionally graded piezoelectric harvesters subjected to random vibration：finite element modeling［J］．Composite Structures，2016，136：384-393．
13	MANOUCHEHRYNIA R， ABDULLAH S， SINGH S S K ．Fatigue-based reliability in assessing the failure of an automobile coil spring under random vibration loadings［J］．Engineering Failure Analysis，2022，131：105808/1-18．
14	MA Y， TANG X， WANG Y，et al ．Design of nonlinear metal rubber isolator subjected to random vibration［J］．Mechanical Systems and Signal Processing，2023，197：110375/1-18．
15	上官文斌，谢新星，丁维，等．汽车动力总成悬置耐久性模拟试验研究［J］．振动与冲击，2011，30（10）：39-44．
	SHANGGUAN Wen-bin， XIE Xin-xing， DING Wei，et al ．Road simulation test for automobile powertrain durability［J］．Journal of Vibration and Shock，2011，30（10）：39-44．
16	SU H ．Automotive structural durability design using dynamic simulation and fatigue damage sensitivity techniques［J］．SAE International Journal of Materials and Manufacturing，2010，3（1）：1-12．
17	SCHIEPPATI J， SCHRITTESSER B， WONDRACEK A，et al ．Temperature impact on the mechanical and fatigue behavior of a non-crystallizing rubber［J］．International Journal of Fatigue，2021，144：106050/1-8．
18	王小莉，上官文斌，刘泰凯，等．填充橡胶材料单轴拉伸疲劳试验及疲劳寿命模型研究［J］．机械工程学报，2013，49（14）：65-73．
	WANG Xiaoli， SHANGGUAN Wenbin， LIU Taikai，et al ．Experiment of uniaxial tension fatigue and modeling of fatigue life for filled natural rubbers．［J］．Journal of Mechanical Engineering，2013，49（14）：65-73．
19	SHI L， GU L ．Practical approach of material modeling for body seal analysis Ⅱ-elastomer foam［C］∥Proceedings of the SAE 2002 World Congress．Detroit：SAE，2002．
20	DIRLIK T ．Application of computers in fatigue analysis［D］．Coventry：University of Warwick，1985．

样件编号	轴向静态刚度/（kN·m^-1）	径向静态刚度/（kN·m^-1）
仿真结果	15.7	25.4
Ⅰ	16.0	25.0
Ⅱ	15.5	25.5
Ⅲ	16.2	25.8

序号	工程应变	疲劳寿命
1	0.225	708 755
2	0.304	386 465
3	0.342	260 569
4	0.414	152 564
5	0.483	99 216
6	0.581	61 362

[1]	SHANGGUAN Wenbin, YUE Lian, LÜ Hui, et al. Fatigue Test and Calculation Methods for Battery Package Based on Load Spectrum [J]. Journal of South China University of Technology(Natural Science Edition), 2024, 52(3): 50-56.
[2]	CHEN Zhong, QIU Yuliang, ZHANG Xianmin. Optimization Design and Experiment of XY Compliant Platform with Local Resonance Damping [J]. Journal of South China University of Technology(Natural Science Edition), 2024, 52(12): 1-13.
[3]	LIU Yan, CHEN Yixian, WANG Xin, et al. Analysis of the Ultimate Bearing Capacity of the Π-Joint of Welded Square Tube Under Axial Load [J]. Journal of South China University of Technology(Natural Science Edition), 2024, 52(11): 32-42.
[4]	DING Faxing, CAI Yongqiang, WANG Liping, et al.. Seismic Performance Analysis of Welded Multi-Cavity Double Steel Plate-Concrete Composite Shear Wall [J]. Journal of South China University of Technology(Natural Science Edition), 2024, 52(1): 15-25.
[5]	HE Jiapeng, ZHANG Jinyu, CHEN Zhangxing, et al.. Mechanical Properties Degradation Under Fatigue Loading in Pultruded Unidirectional Glass Fiber Reinforced Polymer Composites [J]. Journal of South China University of Technology(Natural Science Edition), 2024, 52(1): 62-71.
[6]	CAO Leilei, WANG Liutao, WANG Yan, et al. Fatigue Life Evaluation of Excavator Working Device Based on Equivalent Structural Stress Method [J]. Journal of South China University of Technology(Natural Science Edition), 2022, 50(8): 62-70.
[7]	WANG Jinxiao, LI Sida, CHENG Bin, et al. Experimental Study on Fatigue Behavior of Adhesive & Bolted Hybrid FRP Joints [J]. Journal of South China University of Technology(Natural Science Edition), 2022, 50(11): 95-106.
[8]	CAO Leilei, GUO Chengchen, WANG Yan, et al. Fatigue Analysis of Hydraulic Excavator Working Device Based on Experiment Data [J]. Journal of South China University of Technology(Natural Science Edition), 2021, 49(8): 122-128,139.
[9]	CHEN Zhong XIE Shengyang ZHANG Xianmin. Design Of A Two DOF Hybrid Compliant Gripper Based On Electromagnetic Drive [J]. Journal of South China University of Technology(Natural Science Edition), 2021, 49(12): 35-42.
[10]	ZANG Mengyan, WANG Lichen, ZHOU Tao, et al. Finite Element Simulation Analysis and Evaluation of Ｒadial Tire＇s Transient Dynamic Characteristics [J]. Journal of South China University of Technology (Natural Science Edition), 2020, 48(8): 124-129.
[11]	JIN Xia, HU Juncong, WANG Wei, et al. Adjustment Strategy for Automobile Hood Matching in Virtual Environment [J]. Journal of South China University of Technology (Natural Science Edition), 2020, 48(6): 87-96.
[12]	SHI Guangfeng HUO Mingjie WANG Zitao. Fluid-Solid Coupling Modal Analysis of Sessile Droplets [J]. Journal of South China University of Technology (Natural Science Edition), 2020, 48(2): 137-142,150.
[13]	SHI Xuefei, GAO Yi, CAO Shenghui. Experimental Study on Mechanical Behavior of UHPC Joint of Precast Bridge Deck [J]. Journal of South China University of Technology (Natural Science Edition), 2020, 48(12): 82-90,124.
[14]	TANG Liang LI Yi ZHANG Zhirui CHENG Yiming SHANGGUAN Wenbin. Modal Analysis and Optimization of Vehicle Steering System [J]. Journal of South China University of Technology(Natural Science Edition), 2019, 47(9): 83-89.
[15]	XIA Ye, WANG Peng, LEI Wei, et al. Neutral Axis Position-Based Monitoring Method and Indicator for Structural Evaluation of Concrete Girder Bridges [J]. Journal of South China University of Technology (Natural Science Edition), 2019, 47(12): 62-71.