（1 兰州理工大学防震减灾研究所， 兰州 730050；2 兰州理工大学西部土木工程防灾减灾教育部工程研究中心， 兰州 730050）

［摘要］结合能力谱法的基本原理，运用基于多模态的耗能减震设计方法对偏心框剪结构进行性能化设计。提出附加阻尼器后结构的性能目标，并对原结构各阶模态进行Pushover分析，得到各阶模态等效单自由度体系最大位移的比值，利用SRSS法将目标位移用第1阶等效单自由度体系的最大允许位移表示。同时依据能力谱法的基本原理计算结构所需附加阻尼比，并根据阻尼系数与层间位移成正比的分配模式对所选粘滞阻尼器进行合理的布置。对原结构与附加阻尼器结构进行时程分析，计算结果表明：附加阻尼器后，结构的位移响应减小较多，层间位移角趋于均匀，其抗震性能可达到预先提出的性能目标。

［关键词］偏心框架-剪力墙结构; 粘滞阻尼器; 多模态; 阻尼比; 性能目标

中图分类号：TU352.1    文献标识码：A    文章编号：1002-848X(2014)04-0069-05

Research on multimode-based energy dissipation design for eccentric frame-shear wall structures

Li Hui1, 2, Huang Xiaoning1, Du Yongfeng1, 2

(1 Institute of Earthquake Protection and Disaster Mitigation, Lanzhou University of Technology, Lanzhou 730050, China; 2 Western Center of Disaster Mitigation in Civil Engineering of Ministry of Education, Lanzhou University of Technology, Lanzhou 730050, China)

Abstract: Combined with the principle of capacity spectrum method, multimode-based energy dissipation design method was used to carry out the performance-based design for eccentric frame-shear wall structures. Performance objectives of the structure with dampers were proposed. Ratios of the maximum displacements of equivalent single degree of freedom (SDOF) systems were obtained by Pushover analysis on all the modes of original structure. SRSS method was used to represent the objective displacement with the maximum allowable displacement of the firstorder equivalent SDOF system. The supplement damping ratio was calculated based on capacity spectrum method, and then the selected viscous dampers were placed properly according to the distribution model in direct proportion to the damping parameter and interstory displacement. Finally, structures with and without dampers were analyzed by time-history analysis method. Comparison of the results shows that after the set of dampers, displacements of the structure reduce obviously and interstory angles of the structure become uniform. The structure with dampers can reach the proposed performance objectives.

Keywords: eccentric frame-shear wall structure; viscous damper; multimode; damping ratio; performance objective

*国家自然科学基金资助项目（50978130）。

作者简介：李慧，教授，博士生导师，Email:dooyf@sohu.com。

参考文献

［1］蒋建，吕西林，翁大根.附加黏滞阻尼器减震结构基于性能的抗震设计方法［J］.力学季刊，2009，30（4）：577-586.

［2］冯传山, 李亚明, 熊学玉. 基于能力谱法的耗能减震加固设计［J］. 建筑结构,2007,37（S1）:24-26.

［3］李英民，刘建伟，周自强. 基于性能的抗震加固方法在框架结构中的应用［J］. 建筑结构，2012，42（7）：88-92.

［4］李刚，李宏男. 基于位移的消能减震结构抗震设计方法［J］.工程力学，2007，24（9）：88-94.

［5］CHOPRA AK, GOEL RK A. Modal pushover analysis procedure for estimating seismic demands for buildings［J］. Earthquake Engineering and Structural Dynamics,2002,31（3）:561-582.

［6］马千里，叶列平，陆新征.MPA法与Pushover法的准确性对比［J］.华南理工大学学报:自然科学版，2008，36（11）：121-129.

［7］吴学淑，王翠坤.基于多模态的耗能减震设计［J］.土木工程学报，2009，42（9）：1-6.

［8］GB 50011—2010 建筑抗震设计规范［S］. 北京：中国建筑工业出版社，2010.

［9］CHIN HSIUNG LOH, PEI YANG LIN, NAN HAU CHUNG. Design of dampers for structures based on optimal control theory［J］. Earthquake Engineering and Structural Dynamics ,1992,9（29）:1307-1323.

［10］LIN W H，CHOPRA AK. Asymmetric one-story elastic systems with non-linear viscous and viscoelastic dampers earthquake response［J］. Earthquake Engineering and Structural Dynamics, 2003, 32(4): 555-577.

［11］李慧,刘迪，杜永峰. 附设耗能装置的高层基础隔震建筑抗震性能研究［J］.土木工程学报，2010，43（增刊）：276-281.