Engineering Mechanics ›› 2019, Vol. 36 ›› Issue (1): 129-137,145.doi: 10.6052/j.issn.1000-4750.2017.11.0809

Previous Articles     Next Articles

STOCHASTIC SEISMIC RESPONSE AND DESIGN OF STRUCTURAL SYSTEM WITH SERIES-PARALLEL-II INERTER SYSTEM

PAN Chao1, ZHANG Rui-fu2, WANG Chao2, LU Jing-zhou1   

  1. 1. College of Civil Engineering, Yantai University, Yantai, Shandong, 264005, China;
    2. Research Institute of Structural Engineering and Disaster Reduction, Tongji University, Shanghai 200092, China
  • Received:2017-11-01 Revised:2018-04-03 Online:2019-01-29 Published:2019-01-10

Abstract: In order to comprehend the response mitigation mechanism of a specified inerter system named series-parallel-Ⅱ inerter system (SPIS-Ⅱ), the response variation trends for a single-degree-of-freedom (SDOF) system with SPIS-Ⅱ are studied and the parametric optimal design method is proposed. The mathematical expressions of frequency-domain response transfer functions and root-mean-square random responses of a SDOF system with SPIS-Ⅱ are derived based on the equations of motion and theories in random vibration. Then the response variation trends of a SDOF system with SPIS-Ⅱ are investigated by adopting Kanai-Tajimi's spectrum as a seismic input model along with the change of key parameters of seismic ground motion and SPIS-Ⅱ. Based on parametric studies, a practical optimal design method of a SDOF system with SPIS-Ⅱ is proposed. For this method, seismic performance demand is taken as the design target and response control, cost minimization, and spectral properties of seismic excitations are all considered during design. Finally, a computer program is developed according to the proposed method to conduct design examples, and dynamic time-history analyses are also carried out. The results of example design and analysis prove the effectiveness of the proposed design method.

Key words: inerter, stochastic seismic response, optimal design, vibration control, performance demand

CLC Number: 

  • TU318
[1] Symans M D, Charney F A, Whittaker A S, et al. Energy dissipation systems for seismic applications:Current practice and recent developments[J]. Journal of Structural Engineering, 2008, 134(1):3-21.
[2] Saaed T E, Nikolakopoulos G, Jonasson J E, et al. A state-of-the-art review of structural control systems[J]. Journal of Vibration and Control, 2015, 21(5):919-937.
[3] 杨青顺, 甄伟, 陆新征, 等. 带端部阻尼器伸臂桁架的抗震性能试验研究[J]. 工程力学, 2018, 35(2):47-58. Yang Qingshun, Zhen Wei, Lu Xinzheng, et al. Experimental study on the seismic performance of damped outriggers[J]. Engineering Mechanics, 2018, 35(2):47-58. (in Chinese)
[4] Den Hartog J P. Mechanical Vibrations[M].:New York:McGraw-Hill Book Company, 1956.
[5] 刘良坤, 谭平, 闫维明, 等. 一种NES与TMD的混合控制方案研究[J]. 工程力学, 2017, 34(9):64-72. Liu Liangkun, Tan Ping, Yan Weiming, et al. Analysis of a hybrid scheme comprised of nonlinear energy sink and tuned mass damper[J]. Engineering Mechanics, 2017, 34(9):64-72. (in Chinese)
[6] Arakaki T, Kuroda H, Arima F, et al. Development of seismic devices applied to ball screw:Part 1 Basic performance test of RD-series[J]. AIJ Journal of Technology and Design, 1999, 5(8):239-244.
[7] Smith M C. Synthesis of mechanical networks:The inerter[J]. IEEE Transactions on Automatic Control, 2002, 47(10):1648-1662.
[8] Smith M C, Wang F U C. Performance benefits in passive vehicle suspensions employing inerters[J]. Vehicle System Dynamics, 2004, 42(4):235-257.
[9] 陈龙, 张孝良, 聂佳梅, 等. 基于半车模型的两级串联型ISD悬架性能分析[J]. 机械工程学报, 2012, 48(6):102-108. Chen Long, Zhang Xiaoliang, Nie Jiamei, et al. Performance analysis of two-stage series-connected inerter-spring-damper suspension based on half-car model[J]. Journal of Mechanical Engineering, 2012, 48(6):102-108. (in Chinese)
[10] 杨晓峰, 沈钰杰, 陈龙, 等. 基于动力吸振理论的车辆ISD悬架设计与性能分析[J]. 汽车工程, 2014, 36(10):1262-1266. Yang Xiaofeng, Shen Yujie, Chenlong, et al. Design and performance analysis of vehicle ISD suspension based on dynamic vibration absorber theory[J]. Automotive Engineering, 2014, 36(10):1262-1266. (in Chinese)
[11] 毛明, 王乐, 陈轶杰, 等. 惯容器及惯容器-弹簧-阻尼器悬架研究进展[J]. 兵工学报, 2016, 37(3):525-534. Mao Ming, Wang Le, Chen Yijie, et al. Research progress in inerter and inerter-spring-damper suspension[J]. Acta Armamentarii, 2016, 37(3):525-534. (in Chinese)
[12] Saito K, Kurita S, Inoue N. Optimum response control of 1-DOF system using linear viscous damper with inertial mass and its Kelvin-type modeling[J]. Journal of Structural Engineering, 2007, 53:53-66.
[13] Ikago K, Saito K, Inoue N. Seismic control of single-degree-of-freedom structure using tuned viscous mass damper[J]. Earthquake Engineering & Structural Dynamics, 2012, 41(3):453-474.
[14] Pan C, Zhang R F, Luo H, et al. Demand-based optimal design of oscillator with parallel-layout viscous inerter damper[J]. Structural Control and Health Monitoring, 2018, 25(1):e2051.
[15] Kida H, Watanabe Y, Nakaminami S, et al. Full-scale dynamic tests of tuned viscous mass damper with force restriction mechanism and Its analytical verification[J]. Journal of Structural and Construction Engineering Architectural Institute of Japan, 2011, 76(665):1271-1280.
[16] Nakamura Y, Fukukita A, Tamura K, et al. Seismic response control using electromagnetic inertial mass dampers[J]. Earthquake Engineering and Structural Dynamics, 2014, 43(4):507-527.
[17] Lazar I F, Neild S A, Wagg D J. Using an inerter-based device for structural vibration suppression[J]. Earthquake Engineering & Structural Dynamics, 2014, 43(8):1129-1147.
[18] 罗浩, 张瑞甫, 翁大根, 等. 一种旋转黏滞质量阻尼器对结构响应的控制研究[J]. 防灾减灾工程学报, 2016, 36(2):295-301. Luo Hao, Zhang Ruifu, Weng Dagen, et al. Study of a series viscous mass damper in the control of structural response[J]. Journal of Disaster Prevention and Mitigation Engineering, 2016, 36(2):295-301. (in Chinese)
[19] Luo H, Zhang R F, Weng D G. Mitigation of liquid sloshing in storage tanks by using a hybrid control method[J]. Soil Dynamics and Earthquake Engineering, 2016, 90:183-195.
[20] 阎武通, 韩冰, 文永奎. 新型调谐黏滞质量阻尼器对斜拉桥的减震控制分析[J]. 土木工程学报, 2016, 49(S1):66-71. Yan Wutong, Han Bing, Wen Yongkui, et al. Seismic control analysis of cable-stayed bridge based on tuned viscous mass damper[J]. China Civil Engineering Journal, 2016, 49(S1):66-71. (in Chinese)
[21] Wen Y, Chen Z, Hua X. Design and evaluation of tuned inerter-based dampers for the seismic control of MDOF structures[J]. Journal of Structural Engineering, 2017, 143(4):4016201-4016207.
[22] Kanai K. Semi-empirical formula for the seismic characteristics of the ground[J]. Bulletin of Earthquake Research Institute, University of Tokyo, 1957, 35(2):309-325.
[23] Papageorgiou C, Houghton N E, Smith M C. Experimental testing and analysis of inerter devices[J]. Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME, 2009, 131(1):1-11.
[24] Swift S J, Smith M C, Glover A R, et al. Design and modelling of a fluid inerter[J]. International Journal of Control, 2013, 86(11):2035-2051.
[25] Hu Y, Chen M Z Q, Shu Z, et al. Analysis and optimisation for inerter-based isolators via fixed-point theory and algebraic solution[J]. Journal of Sound and Vibration, 2015, 346:17-36.
[26] Crandall S H, Mark W D. Random vibration in mechanical systems[M]. New York:Academic Press, 2014.
[27] Chankong V, Haimes Y. Multiobjective decision making theory and methodology[M]. New York:Elsevier, 1983.
[28] Oliphant T E. Python for scientific computing[J]. Computing in Science & Engineering, 2007, 9(3):10-20.
[1] ZHU Qian-kun, PU Xing-long, HUI Xiao-li, ZHANG Qiong, DU Yong-feng. Serviceability evaluation and control of suspension structure of Gansu gymnasium based on pedestrian- structure coupled vibration [J]. Engineering Mechanics, 2018, 35(S1): 46-52.
[2] LIU Ming-ming, LI Hong-nan, FU Xing. EXPERIMENTAL AND NUMERICAL ANALYSIS OF AN INNOVATIVE RE-CENTERING SHAPE MEMORY ALLOYS-SHEARING LEAD DAMPER [J]. Engineering Mechanics, 2018, 35(6): 52-57,67.
[3] PU Li-dong, LUO Wu-kui, YAN Ze-zhou. OPTIMAL DESIGN FOR NOTCH FILTER OF AEROSERVOELASTIC SYSTEMS [J]. Engineering Mechanics, 2018, 35(4): 235-241.
[4] LI Bin, WEN Hao-tian, GONG Zhao-yu. WIND-INDUCED RESPONSE ANALYSIS AND WIND VIBRATION CONTROL OF A WIND TURBINE TOWER DRUM [J]. Engineering Mechanics, 2017, 34(增刊): 134-138.
[5] FU Chuan. VIBRATION CONTROL OF TRANSFORMING TLCDSTRUCTURE TO TMD-STRUCTURE [J]. Engineering Mechanics, 2016, 33(4): 114-120,129.
[6] JIN Shu, REN Zong-dong, LI Hong-nan, ZHANG Zhuo-qun. DISCRETE VARIABLE OPTIMAL DESIGN METHOD OF TRANSMISSION TOWER STRUCTURE [J]. Engineering Mechanics, 2016, 33(11): 84-94.
[7] LIU Qing-kuan, ZHENG Yun-fei, ZHAO Shan-bo, MA Wen-yong, LIU Xiao-bing, CHEN Jin-jie. EXPERIMENTAL STUDY ON HELICAL LINE PARAMETERS AND RAIN-WIND INDUCED VIBRATION CONTROL OF STAY-CABLES [J]. Engineering Mechanics, 2016, 33(10): 138-144.
[8] GONG Cheng, LIU Zhi-wen, XIE Gang, GONG Ping. CONTROL OF WIND-INDUCED VIBRATION IN LARGE SPAN CABLE-STAYED BRIDGE WITH HIGH PIERS DURING CANTILEVER CONSTRUCTION STAGES [J]. Engineering Mechanics, 2015, 32(增刊): 122-128.
[9] LOU Meng-lin, HAN Bo-yu. RESEARCH ON TLD CONTROL TO ENVIRONMENTAL VIBRATION OF HIGH-RISE BUILDINGS [J]. Engineering Mechanics, 2015, 32(增刊): 184-190.
[10] BAI Yu-run, ZHAO Shan-bo, LIU Qing-kuan, LIU Xiao-bing, MA Wen-yong. EFFECT OF HELICAL LINE PARAMETERS ON RAIN-WIND INDUCED VIBRATION CONTROL OF CABLES [J]. Engineering Mechanics, 2015, 32(增刊): 310-313,321.
[11] LIU Qing-kuan, ZHENG Yun-fei, LIU Xiao-bing, MA Wen-yong. WIND LOAD, WIND INDUCED VIBRATIONS AND CONTROL OF CABLES OF CABLE-STAYED BRIDGES [J]. Engineering Mechanics, 2015, 32(9): 1-8.
[12] DING You-liang, GENG Fang-fang, GE Wen-hao, SONG Jian-yong, LI Wan-heng, WANG Yu-qian. CONTROL OF WIND-INDUCED BUFFETING RESPONSES OF A MULTI-TOWER CABLE-STAYED BRIDGE USING VISCOUS DAMPERS [J]. Engineering Mechanics, 2015, 32(4): 130-137.
[13] PENG Jian, ZHAO Yao-bing, SUN Ce-shi, WANG Lian-hua. TIME DELAY EFFECTS IN MR DAMPER—STAY CABLE CONTROL SYSTEMS [J]. Engineering Mechanics, 2014, 31(4): 155-159.
[14] ZHU Hong-ping, ZHOU Fang-yuan, YUAN Yong. DEVELOPMENT AND ANALYSIS OF THE RESEARCH ON BASE ISOLATED STRUCTURES [J]. Engineering Mechanics, 2014, 31(3): 1-10.
[15] ZHANG Ji-gang,LIU Yan-mei,WANG Xian-mao. RESEARCH OF VIBRATION CONTROL OF OFFSHORE PLATFORM STRUCTURE BASED ON THE PFD-SMA BRACE SYSTEM [J]. Engineering Mechanics, 2013, 30(增刊): 338-342.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!