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1、第32卷第3期深圳大學(xué)學(xué)報(bào)理工版VoI.32No.32015年5月JOURNALOFSHENZHENUNIVERSITYSCIENCEANDENGINEERINGMav2015【土木與建筑工程/ArchitectureandCivilEngineering】斜拉索耦合振動(dòng)模型及其參數(shù)分析劉海濤,魏明海,林坤,肖儀清1)哈爾濱工業(yè)大學(xué)深圳研究生院,深圳518055;2)沈陽建筑大學(xué)營(yíng)造與工程管理系,沈陽110168摘要:考慮支撐構(gòu)件對(duì)斜拉索參數(shù)振動(dòng)的影響,從整體振動(dòng)角度研究斜拉索的非線性參數(shù)振動(dòng)特性,提出一個(gè)耦合索支撐結(jié)
2、構(gòu)模型.該模型既考慮了斜拉索的幾何非線性,也考慮了支撐構(gòu)件的運(yùn)動(dòng)對(duì)斜拉索振動(dòng)的影響.應(yīng)用多尺度法對(duì)該模型進(jìn)行攝動(dòng)分析,得到該模型參數(shù)振動(dòng)時(shí)的激勵(lì)頻率及穩(wěn)定區(qū)域邊界,討論模型質(zhì)量比、剛度比和傾角等參數(shù)對(duì)幅頻響應(yīng)及穩(wěn)定性的影響.研究表明,索的非線性參數(shù)振動(dòng)特性并不隨質(zhì)量比和剛度比單調(diào)遞增,而是存在某一臨界值,使索的非線性參數(shù)振動(dòng)特性最大化;隨著傾斜角度的增加,索的非線性參數(shù)振動(dòng)特性是單調(diào)遞增.關(guān)鍵詞:結(jié)構(gòu)力學(xué);索支撐結(jié)構(gòu);斜拉索;耦合模型;幅頻響應(yīng);參數(shù)振動(dòng);非線性振動(dòng)中圖分類號(hào):TU311.3文獻(xiàn)標(biāo)志碼:Adoi:10.
3、3724/SP.J.1249.2015.03231CoupledvibrationmodelofcablesanditsparameteranalysisLiuHaitao,WeiMinghai甜,LinKun,andXiaoYiqing1)HarbinInstituteofTechnologyShenzhenGraduateSchool,Shenzhen518055,P.R.China2)DepartmentofConstructionandEngineeringManagement,ShenyangJianzhuU
4、niversity,Shenyang110168,P.R.ChinaAbstract:Consideringtheeffectsofcable-supportedstructuresoncableparametricvibration,thispaperpresentsananalysisofnonlinearparametricvibrationandthechaoticdynamicsofacableusingacoupledcable-beammodelinwhichboththecoupledbehaviorb
5、etweenthebeamandthecableandthegeometricnonlinearitiesofthecablearetakenintoaccount.Byapplyingthemultiplescalemethodtothemodeldirectly,weobtainthefrequencyresponseofcablesandstabilityconditions.Theeffectsofthemassratio,stiffnessratio,andtheinclinedangleofthecoupl
6、edmodelarethenevaluated.Theresultsshowthatthepropertyofnonlinearparametricvibrationofcablesisnotincreasingmonotonouslywiththemassandstiffnessratios.Thereisacriticalvaluethatmaximizesthepropertyofnonlinearparametricvibrationofcables,andthepropertyofnonlinearparam
7、etricvibrationofcablesincreasesmonotonouslywiththeinclinedangle.Keywords:structuralmechanics;cable—supportedstructures;cable;coupledmodel;frequencyresponse;paramet-ricvibration;nonlinearvibrationReceived:2叭4O9.11;Accepted:2015.03.24Foundation:NationalNaturalScie
8、nceFoundationofChina(51078119):FundofNationalEngineeringandResearchCenterforHighwaysinMountainArea(gsgzj一2013-03);FundofKeyLaboratoryofBridgeEarthquakeResistanceTechn