Engineering Mechanics ›› 2018, Vol. 35 ›› Issue (8): 208-217.doi: 10.6052/j.issn.1000-4750.2017.11.0810

Previous Articles     Next Articles

RESEARCH ON OPTIMUM DAMPING PARAMETERS OF AN ENERGY DISSIPATION STRUCTURE BASED ON THE SUPPORT STIFFNESS

LAN Xiang1,2, PAN Wen1,2, BAI Yu1,2, ZHANG Long-fei1,2, YU Wen-zheng1,2   

  1. 1. Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming 650500, China;
    2. Yunnan Earthquake Engineering Research Institute, Kunming 650500, China
  • Received:2017-11-02 Revised:2018-02-07 Online:2018-08-29 Published:2018-08-29

Abstract: A practical mechanical model of damping system considering the stiffness of the connection element was proposed, based on the research of mechanical models of traditional energy dissipation system. Firstly, the transfer function and frequency characteristic of the practical damping system were derived using the Laplace transform and the Fourier transform of the mathematical method. Subsequently, the fixed-point theory was used in the frequency response curves to examine the frequency characteristic. The results showed that the fixed-point of the frequency response curves was the theoretical lowest point the curves' peak value could reach. The optimal damping ratio and the minimum peak value of the frequency response curves were derived. Finally, the existence of the optimal damping ratio was verified by using a single degree of freedom system. A recommended range of the support stiffness coefficient was provided. Moreover, the importance of the support stiffness coefficient in energy dissipation structure designing was revealed by studying a project example.

Key words: energy dissipation, practical damping system, support stiffness, transfer function, fixed-point theory, optimal damping ratio

CLC Number: 

  • TU352.1
[1] GB 50011-2010, 建筑抗震设计规范[S]. 北京:中国建筑工业出版社, 2010. GB 50011-2010, Code for seismic design of buildings[S]. Beijing:China Architecture & Building Press, 2010. (in Chinese)
[2] JGJ 297-2013, 建筑消能减震技术规程[S]. 北京:中国建筑工业出版社, 2013. JGJ 297-2013, Technical specification for seismic energy dissipation of building[S]. Beijing:China Architecture & Building Press, 2013. (in Chinese)
[3] 翁大根, 张超, 吕西林, 等. 附加黏滞阻尼器减震结构实用设计方法研究[J]. 振动与冲击, 2012, 31(21):80-88. Weng Dagen, Zhang Chao, Lü Xilin, et al. Practical design procedure for a energy-dissipated structure with viscous dampers[J]. Journal of Vibration and Shock, 2012,31(21):80-88. (in Chinese)
[4] 王奇, 干钢. 基于线性化等效方法的消能减震结构有效附加阻尼比计算[J]. 建筑结构学报, 2012, 33(11):46-52. Wang Qi, Gan Gang. Calculation of effective additional damping ratio of energy dissipation structure based on linear equivalent method[J]. Journal of Building Structures, 2012, 33(11):46-52. (in Chinese)
[5] 巫振弘, 薛彦涛, 王翠坤, 等. 多遇地震作用下消能减震结构附加阻尼比计算方法[J]. 建筑结构学报, 2013, 34(12):19-25. Wu Zhenhong, Xue Yantao, Wang Cuikun, et al. Research on additional damping ratio calculation methods under frequent earthquake[J]. Journal of Building Structures, 2013, 34(12):19-25. (in Chinese)
[6] 陆伟东, 刘伟庆, 汪涛. 消能减震结构附加等效阻尼比计算方法[J]. 南京工业大学学报(自科版), 2009, 31(1):97-100. Lu Weidong, Liu Weiqing, Wang Tao. Calculation method for additional equivalent damping ratio of energy dissipation structure[J]. Journal of Nanjing University of Technology (Natural Science Edition), 2009, 31(1):97-100. (in Chinese)
[7] 何文福, 陈承渊, 刘阳, 等. 黏滞阻尼器结构等效阻尼比计算方法比较研究[J]. 结构工程师, 2016, 32(1):10-16. He Wenfu, Chen Chengyuan, Liu Yang, et al. Comparative study of equivalent damping ratio calculation methods for a structure with viscous dampers[J]. Structural Engineers, 2016, 32(1):10-16. (in Chinese)
[8] 王维凝, 闫维明, 彭凌云. 不同水准地震作用下铅消能器附加给结构的有效阻尼比及其设计取值研究[J]. 工程力学, 2014, 31(3):173-180. Wang Weining, Yan Weiming, Peng Lingyun. Study on the additional damping ratio provided by lead dampers and its design values under different seismic levels[J]. Engineering Mechanics, 2014, 31(3):173-180. (in Chinese)
[9] 吴克川, 陶忠, 韦光兰, 等. 地震作用下防屈曲支撑减震结构附加有效阻尼比计算及变化规律研究[J]. 振动与冲击, 2016, 35(2):146-152. Wu Kechuan, Tao Zhong, Wei Guanglan, et al. Calculation of the additional damping ratio of buckling-restrained brace structure and its variation under earthquake[J]. Journal of Vibration and Shock, 2016, 35(2):146-152. (in Chinese)
[10] Lee S H, Min K W, Hwang J S, et al. Evaluation of equivalent damping ratio of a structure with added dampers[J]. Engineering Structures, 2004, 26(3):335-346.
[11] Lavan O. Optimal design of viscous dampers and their supporting members for the seismic retrofitting of 3D irregular frame structures[J]. Journal of Structural Engineering, 2015, 141(11):1-15.
[12] Pollini N, Lavan O, Amir O. Towards realistic minimum-cost optimization of viscous fluid dampers for seismic retrofitting[J]. Bulletin of Earthquake Engineering, 2016, 14(3):971-998.
[13] 杜永峰, 赵国藩. 隔震结构中非经典阻尼影响及最佳阻尼比分析[J]. 地震工程与工程振动, 2000, 20(3):100-107. Du Yongfeng, Zhao Guofan. Analysis of effect of non-classical damping on isolated structure and optimum dmping[J]. Earthquake Engineering and Engineering Vibration, 2000, 20(3):100-107. (in Chinese)
[14] 钟立来, 吴赖云, 黄旭辉, 等. 非线性调谐质量阻尼器之最佳化设计公式[J]. 结构工程, 2009, 24(2):55-90. Zhong Lilai, Wu Laiyun, Huang Xuhui, et al. Optimized design formula of nonlinear tuned mass dampers[J]. Structural Engineering, 2009, 24(2):55-90. (in Chinese)
[15] 钟立来, 吴赖云, 高培修, 等. 结构隔震系统之最佳黏滞阻尼比[J]. 结构工程, 2011, 26(3):21-46. Zhong Lilai, Wu Laiyun, Gao Peixiu, et al. Optimal viscous damping ratio of structural isolation system[J]. Structural Engineering, 2011, 26(3):21-46. (in Chinese)
[16] Dedomenico D, Ricciardi G. An enhanced base isolation system equipped with optimal tuned mass damper inerter (TMDI)[J]. Earthquake Engineering & Structural Dynamics, 2017(1):1-24.
[17] 兰香, 潘文, 况浩伟, 等. 基于层间位移利用率法修正消能减震结构的附加阻尼[J]. 振动与冲击, 2017, 36(20):64-71. Lan Xiang, Pan Wen, Kuang Haowei, et al. Correction additional damping of an energy-dissipated structure based on a story drifts utilization ratio method[J]. Journal of Vibration and Shock, 2017, 36(20):64-71. (in Chinese)
[18] 缪志伟, 宋前恩, 李爱群. 减震设计与抗震设计RC框架结构抗地震倒塌能力对比[J]. 工程力学, 2016, 33(8):24-31. Miao Zhiwei, Song Qian'en, Li Aiqun. Comparison of collapse-resistance capacities of RC frames with and without dampers[J]. Engineering Mechanics, 2016, 33(8):24-31. (in Chinese)
[19] 黄小宁, 杜永峰, 李慧. 平面不规则RC框剪结构基于性能的减震设计方法[J]. 工程力学, 2017, 34(3):68-75. Huang Xiaoning, Du Yongfeng, Li Hui. Performancebased design method for irregular plane RC frame-shear-wall structure with dissipation devices[J]. Engineering Mechanics, 2017, 34(3):68-75. (in Chinese)
[20] Fournier J A, Cheng S H. Impact of damper stiffness and damper support stiffness on the efficiency of a linear viscous damper in controlling stay cable vibrations[J]. Journal of Bridge Engineering, 2014, 19(4):1-12.
[21] Chen Y, Chai Y H. Effects of brace stiffness on performance of structures with supplemental Maxwell model-based brace-damper systems[J]. Earthquake Engineering & Structural Dynamics, 2011, 40(1):75-92.
[22] 丁文镜. 减振理论[M]. 北京:清华大学出版社, 2014. Ding Wenjing. Theory of vibration reduction[M]. Beijing:Tsinghua University Press, 2014. (in Chinese)
[23] Anil K Chopra. Dynamics of structures:Theory and applications to earthquake engineering[M]. 4th ed. Englewood Cliffs, New Jersey:Prentice Hall, 2012.
[24] 马立新, 李孜. 结构振动控制[M]. 北京:机械工业出版社, 2010. Ma Lixin, Li Zi. Vibration control of structure[M]. Beijing:Machinery Industry Press, 2010. (in Chinese)
[1] YANG Zhi-jian, LEI Yue-qiang, TAN Ya-wen, LI Guo-chang, WANG Jing-ming. Mechanical performance of improved PHC pile-to-pile cap connection [J]. Engineering Mechanics, 2018, 35(S1): 223-229.
[2] ZHANG Lu-chen, WANG Yu-jie, LUO Shao-ze. Study on votex area fluctuating pressure properties of energy dissipation by hydraulic jump with jet clusters [J]. Engineering Mechanics, 2018, 35(S1): 355-358.
[3] XIAO Shui-jing, XU Long-he, LU Xiao. DESIGN AND BEHAVIOR STUDY ON REINFORCED CONCRETE SHEAR WALLS WITH SELF-CENTERING CAPABILITY [J]. Engineering Mechanics, 2018, 35(8): 130-137.
[4] SONG Zi-jie, HU Zhi-qiang. AN INTEGRATED ANALYTICAL METHOD TO PREDICT STRUCTURAL DYNAMIC RESPONSES OF SHIP STRUCTURE UNDER COLLISION AND GROUNDING SCENARIOS [J]. Engineering Mechanics, 2018, 35(8): 245-256.
[5] ZHOU Ying, GONG Shun-ming. STUDY ON NONLINEAR CHARACTERISTICS AND MECHANICAL MODEL OF HYBRID NONLINEAR VISCOLEASTIC DAMPER [J]. Engineering Mechanics, 2018, 35(6): 132-143.
[6] ZHU Li-hua, LI Gang, LI Hong-nan. ENERGY-BASED ASEISMIC DESIGN FOR BUILDINGS WITH PASSIVE ENERGY DISSIPATION SYSTEMS CONSIDERING DAMAGE [J]. Engineering Mechanics, 2018, 35(5): 75-85.
[7] SUN Tong, LI Hong-nan. EXPERIMENTAL INVESTIGATION OF AN INNOVATIVE MULTIDIMENSIONAL SMA DAMPER [J]. Engineering Mechanics, 2018, 35(3): 178-185.
[8] XU Long-he, XIAO Shui-jing, LU Xiao. PARAMETRIC DESIGN AND HYSTERETIC BEHAVIOR STUDY OF SELF-CENTERING COUPLED SHEAR WALL WITH EMBEDDED DISC SPRINGS [J]. Engineering Mechanics, 2018, 35(10): 144-151,161.
[9] XU Long-he, XIE Xing-si, LI Zhong-xian. MECHANICS AND PERFORMANCE STUDY OF SELF-CENTERING VARIABLE DAMPING ENERGY DISSIPATION BRACE [J]. Engineering Mechanics, 2018, 35(1): 201-208.
[10] LIANG Xing-wen, YANG Peng-hui, HE Wei, XIN Li, LI Lin. EXPERIMENTAL STUDY ON ASEISMIC BEHAVIOR OF REINFORCED CONCRETE FRAME-ENERGY DISSIPATION WALLS MADE WITH HIGH PERFORMANCE FIBER REINFORCED CONCRETE [J]. Engineering Mechanics, 2018, 35(1): 209-218.
[11] XU Tao-long, YAO An-lin, LI You-lü, JIANG Hong-ye, ZENG Xiang-guo. MULTI-BODY DYNAMIC SIMULATION OF BURIED GAS PIPELINE BASED ON FULL SCALE TEST [J]. Engineering Mechanics, 2017, 34(增刊): 300-307.
[12] HAN Jian-ping, LIU Wen-lin. EXPERIMENTAL INVESTIGATION ON SEISMIC BEHAVIOR OF PVA FIBER REINFORCED CONCRETE COLUMNS WITH HIGH AXIAL COMPRESSION RATIOS [J]. Engineering Mechanics, 2017, 34(9): 193-201.
[13] DU Ning-jun, BAI Guo-liang, LIU Lin, ZHAO Xin-gang. EXPERIMENTAL STUDY AND ANALYSIS ON HYSTERETIC BEHAVIOR OF STEEL-CONCRETE HYBRID AIR-COOLING STRUCTURE WITH STEEL BRACES [J]. Engineering Mechanics, 2017, 34(5): 205-215.
[14] LU De-hui, ZHOU Yun, DENG Xue-song, ZHANG Chao. OPTIMIZATION OF CONFIGURATION AND FINITE ELEMENT MODELING FOR LEAD-FILLED STEEL TUBE DAMPERS [J]. Engineering Mechanics, 2017, 34(3): 76-83.
[15] MA Jun-wei, PAN Jin-long, YIN Wan-yun, LIU Shou-cheng, MO Chuang. EXPERIMENTAL STUDY ON SEISMIC PERFORMANCE OF FULL PRECAST SHEAR WALL-FRAME STRUCTURES WITH REINFORCEMENT SPLICED BY GROUT-FILLED SLEEVES [J]. Engineering Mechanics, 2017, 34(10): 178-187.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] ZHANG Dong-juan;CUI Zhen-shan;LI Yu-qiang;RUAN Xue-yu. SPRINGBACK OF SHEET METAL AFTER PLANE STRAIN STRETCH-BENDING[J]. Engineering Mechanics, 2007, 24(7): 0 -071 .
[2] LI Zhong-xian,HUANG Xin. INFLUENCE OF TRAVELING WAVE EFFECT ON SEISMIC RESPONSES OF CONTINUOUS RIGID-FRAMED BRIDGE IN DEEP WATER[J]. Engineering Mechanics, 2013, 30(3): 120 -125 .
[3] GE Xin-sheng;CHEN Li-qun;LIU Yan-zhu. OPTIMAL CONTROL OF A NONHOLONOMIC MOTION PLANNING FOR MUTILBODY SYSTEMS[J]. Engineering Mechanics, 2006, 23(3): 63 -68 .
[4] GU Zhi-ping;HE Xing-suo;FANG Tong. EFFECT OF THE DIFFERENTIAL LINKING CONDITION ON SUB-HARMONIC RESONANCE[J]. Engineering Mechanics, 2006, 23(4): 62 -66 .
[5] LUO Guan-wei;ZHANG Yan-long;XIE Jian-hua. DOUBLE HOPF BIFURCATION OF PERIODIC MOTION OF THE MULTI-DEGREE-OF-FREEDOM VIBRATORY SYSTEM WITH A CLEARANCE[J]. Engineering Mechanics, 2006, 23(3): 37 -43,6 .
[6] LI Qing-xiang;SUN Bing-nan;. AERODYNAMIC STABILITY ANALYSIS OF SMALL CURVED MEM- BRANE IN UNIFORM FLOW[J]. Engineering Mechanics, 2006, 23(4): 39 -44,5 .
[7] LI Lei;XIE Shui-sheng;HUANG Guo-jie. NUMERICAL STUDY ON THE SCALE EFFECTS PHENOMENA OF ULTRA-THIN BEAMS' BENDING WITH STRAIN GRADIENT PLASTICITY[J]. Engineering Mechanics, 2006, 23(3): 44 -48 .
[8] YI Xianren;TAO Gaoliang;HU Zailiang. EFFECTS OF STRENGTHENING REINFORCED CONCRETE CHIMNEYS WITH PRESTRESSED HOOPS[J]. Engineering Mechanics, 2006, 23(4): 109 -113 .
[9] ZHANG Guang-qing;CHEN Mian. NON-PLANAR PROPAGATION OF HYDRAULIC FRACTURE AROUND HORIZONTAL WELL-BOLE[J]. Engineering Mechanics, 2006, 23(4): 160 -165 .
[10] ZHOU Ben-mou;FAN Bao-chun;CHEN Zhi-hua;YE Jing-fang;DING Han-xin;JIN Jian-ming. EXPERIMENTAL STUDY ON CIRCULAR-CYLINDER FLOW MODIFIED BY ELECTROMAGNETIC BODY FORCES[J]. Engineering Mechanics, 2006, 23(4): 172 -176 .