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(1 北京筑信潤捷科技發(fā)展有限公司, 北京 101500; 2 中國電子工程設(shè)計(jì)院有限公司, 北京 100142)
摘要: 將大跨結(jié)構(gòu)的動(dòng)力特性轉(zhuǎn)化到廣義坐標(biāo)系并結(jié)合頻率響應(yīng)函數(shù),計(jì)算有或無調(diào)諧質(zhì)量阻尼器( TMD) 的多階模態(tài)結(jié)構(gòu)在人行荷載的多階諧波激振下的加速度反應(yīng)譜. 通過引入結(jié)構(gòu)頻率調(diào)整系數(shù),能夠預(yù)測結(jié)構(gòu)實(shí)際頻率與計(jì)算頻率產(chǎn)生偏差的情況. 利用有或無 TMD 的結(jié)構(gòu)頻響函數(shù)得到窄帶激振下的 TMD 減振率,分析 TMD 頻率比和阻尼比偏離最優(yōu)解對 TMD 減振率的影響. 結(jié)合一個(gè)實(shí)際工程算例,比較了該頻域分析法和傳統(tǒng)的時(shí)域分析法,采用最優(yōu)參數(shù)設(shè)計(jì) TMD,研究了人群行走荷載下考慮實(shí)際頻率偏差工況的有或無 TMD 結(jié)構(gòu)加速度反應(yīng)譜、反應(yīng)譜曲面及 TMD 設(shè)計(jì)要點(diǎn)等問題. 研究結(jié)果表明了該方法準(zhǔn)確、全面、高效的優(yōu)越性.
關(guān)鍵詞: 大跨結(jié)構(gòu); 振動(dòng)舒適度; 頻域分析; 加速度反應(yīng)譜; 反應(yīng)譜曲面; 無調(diào)諧質(zhì)量阻尼器; 魯棒性
中圖分類號:TU311. 3,O328 文獻(xiàn)標(biāo)志碼:A 文章編號:1002-848X(2022)05-0075-06
DOI:10. 19701 / j. jzjg. 20201681
Frequency domain analysis for pedestrian induced vibration of long-span structure andTMD mitigation
LI Dan1, CAO Tiezhu1, DENG Tao2
(1 Beijing Zhuxin Runjie Technology Development Co., Ltd., Beijing 101500,China;2 China Electronics Engineering Design Institute Co., Ltd., Beijing 100142,China)
Abstract: By transforming the dynamic properties of long-span structure to generalized coordinates and along with frequencyresponse function, the acceleration response spectrums of a structure with multiple modes with and without tuned massdamper ( TMD) under multiple orders of harmonic components of pedestrian load were calculated. The deviation of as-builtstructural frequency from calculated frequency can be taken into account by introducing a structural frequency adjustmentcoefficient. Utilizing the TMD reduction rate under narrow band excitation obtained from the structural frequency responsefunction with and without TMD, the impact of TMD frequency ratio and damping ratio deviating from the optimal solution onthe TMD reduction rate was analyzed. With an example analysis of a real project, this frequency domain method andtraditional time domain method were compared, the optimal parameters were employed to design the TMD, the structuralacceleration response spectrum and response spectrum surface of the structure with and without TMD under crowd walkingload considering the structural frequency deviation, the key points of TMD design, and other problems were studied. Thisstudy reflects the advantages of accuracy, comprehensiveness and efficiency comparing to the frequency domain method.
Keywords:long-span structure; pedestrian induced vibration; frequency domain analysis; acceleration response spectrum;response spectrum surface; tuned mass damper; robustness
第一作者:李聃,碩士,總工程師,主要從事振動(dòng)控制與風(fēng)工程研究,Email:232602215@ qq. com.
[引用本文] 李聃,曹鐵柱,鄧濤. 大跨結(jié)構(gòu)的振動(dòng)舒適度與 TMD 減振頻域分析[ J] . 建筑結(jié)構(gòu),2022,52( 5) :75-80,69. LI Dan, CAO Tiezhu, DENG Tao. Frequency domain analysis for pedestrian induced vibration of long-spanstructure and TMD mitigation[ J] . Building Structure,2022,52(5) :75-80,69.
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