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弱連體結(jié)構(gòu)非平穩(wěn)隨機地震響應(yīng)與動力可靠度分析*
李春鋒1,2,杜永峰2,3,李慧2,3
摘 要

(1 河西學(xué)院土木工程學(xué)院, 張掖 734000; 2 蘭州理工大學(xué)防震減災(zāi)研究所, 蘭州 730050;3 西部土木工程防災(zāi)減災(zāi)教育部工程研究中心, 蘭州 730050)

[摘要]弱連體剛度小,地震作用下不能協(xié)調(diào)塔樓振動且受力不利??紤]地震動的非平穩(wěn)性,運用虛擬激勵法對耗能阻尼減震柔性連接與非減震剛性連接的弱連體結(jié)構(gòu)在非平穩(wěn)隨機激勵下的地震響應(yīng)進(jìn)行研究。采用Bouc-Wen模型與剛度退化的Bouc-Wen模型分別模擬連體滯變特性與塔樓各樓層的滯變特性,建立弱連體結(jié)構(gòu)非線性化動力方程。運用混合精細(xì)積分法對每一時刻的響應(yīng)進(jìn)行求解,得到弱連體結(jié)構(gòu)在非平穩(wěn)隨機激勵下的位移、速度時變方差。基于首次超越破壞準(zhǔn)則,研究非平穩(wěn)隨機地震激勵下弱連體結(jié)構(gòu)的塔樓與連體的動力可靠度。運用上述理論,分析某高層雙塔連體結(jié)構(gòu)在8度(0-2g)多遇、罕遇地震作用下的隨機地震響應(yīng)。研究結(jié)果表明,高層雙塔連體結(jié)構(gòu)的層間位移響應(yīng)呈現(xiàn)強烈的非平穩(wěn)性,地震作用下耗能阻尼減震柔性連接對提高連體結(jié)構(gòu)的動力可靠度效果明顯,表明耗能阻尼減震連體方案為弱連體結(jié)構(gòu)設(shè)計推薦方案。

[關(guān)鍵詞]高層連體結(jié)構(gòu); Bouc-Wen模型; 虛擬激勵法; 非平穩(wěn)隨機響應(yīng); 動力可靠度

中圖分類號:TU973-2+7;文獻(xiàn)標(biāo)識碼:A文章編號:1002-848X(2016)16-0068-08

 

Non-stationary random response and dynamic reliability analysis on weak connective structures

Li Chunfeng1, 2, Du Yongfeng2, 3, Li Hui2, 3

(1 School of Civil Engineering, Hexi University, Zhangye 734000, China; 2 Institute of Earthquake Protection and Disaster Mitigation, Lanzhou University of Technology, Lanzhou 730050, China; 3 Western Center of Disaster Mitigation in Civil Engineering, Ministry of Education, Lanzhou 730050, China)

Abstract:The weak connector with small stiffness cannot coordinate the vibration of tower and its force is unfavorable under the seismic action. Considering the non-stationary characteristics of the earthquake ground motion, the random seismic response of the damping and non-damping weak connective structure was investigated using pseudo excitation method. The Bouc-Wen model and the stiffness degradation of Bouc-Wen model were used to simulate the hysteresis of the connector of the damper structure and the tower structure respectively, and the nonlinear motion equation of the weak connective structure was established. And the system response for each moment was solved by mixed precise integration method to obtain the time-history variances of displacement and velocity of the structure under non-stationary earthquake excitation. Based on the first passage damage criterion, the reliability index of towers and connector of the weak connective structure were calculated. Those theories were used to analyze random earthquake response of a high-rise double-tower linked with weak connective structure under 8 degree (0-2g) frequent and rare earthquakes. The research results show that the high-rise twin towers connective structure′s interlayer displacement responses have a strong non-stationary feature, and the damping weak connective form has a significantly effect on improving the structural dynamic reliability under the frequent and rare earthquakes, which proves that the energy dissipation damping weak connective structure is a recommended scheme for weak connective structures.

Keywords:high-rise connective structure; Bouc-Wen model; pseudo excitation method; non-stationary random response; dynamic reliability

 

*甘肅省科技計劃資助項目(145RJZG032),甘肅省建設(shè)科技公關(guān)項目(JK2015-03),甘肅省建設(shè)科技公關(guān)項目(JK2013-14)。

 

作者簡介:李春鋒,博士,副教授,Email:lichunfeng05@sina.com。

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