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地震与移动荷载共同作用下连续梁桥的振动问题研究 摘要: 随着城市化的不断发展,城市桥梁的数量和规模不断增大。在桥梁使用过程中,地震和移动荷载可能会对连续梁桥产生振动。因此,本研究通过数学建模和数值仿真的方法,分析了地震和移动荷载共同作用下连续梁桥的振动问题。研究结果表明:地震和移动荷载共同作用下,连续梁桥的振动会受到较大的影响。为了提高桥梁的抗震能力和荷载承载能力,需要采取有效的措施来改善桥梁的结构设计和施工工艺。 关键词:地震;移动荷载;连续梁桥;振动问题;数值仿真 Abstract: Withthecontinuousdevelopmentofurbanization,thenumberandscaleofurbanbridgesareincreasing.Intheprocessofbridgeuse,earthquakesandmovingloadsmaycausevibrationsinthecontinuousbeambridge.Therefore,thisstudyanalyzesthevibrationproblemofcontinuousbeambridgesunderthecombinedactionofearthquakesandmovingloadsthroughmathematicalmodelingandnumericalsimulations.Theresultsshowthatunderthecombinedactionofearthquakesandmovingloads,thevibrationofcontinuousbeambridgesisgreatlyaffected.Inordertoimprovetheseismicresistanceandloadcarryingcapacityofbridges,effectivemeasuresneedtobetakentoimprovethestructuraldesignandconstructiontechnologyofbridges. Keywords:Earthquake;Movingload;Continuousbeambridge;Vibrationproblem;Numericalsimulation 1.Introduction Urbanbridgesareimportanttransportationinfrastructures,whichplayavitalroleinthedevelopmentofurbaneconomyandsociety.Withthecontinuousdevelopmentofurbanization,thenumberandscaleofurbanbridgesareincreasing.Intheprocessofbridgeuse,earthquakesandmovingloadsmaycausevibrationsinthecontinuousbeambridge.Therefore,itisnecessarytostudythevibrationproblemofcontinuousbeambridgesunderthecombinedactionofearthquakesandmovingloads. 2.LiteratureReview Atpresent,theresearchonthevibrationproblemofcontinuousbeambridgesmainlyfocusesonthefollowingaspects: 1)Theoreticalresearchonthedynamicresponseofcontinuumstructuresunderearthquakeexcitation.Mutohetal.[1]establishedavibrationequationofmulti-spancontinuousbeambridgesunderverticalgroundmotionandobtainedthenaturalfrequenciesandmodesofthebridge.Martinetal.[2]studiedthedynamicbehaviorofacontinuoussteeltrussbridgesubjectedtoaseismicexcitation. 2)Numericalanalysisofthedynamicresponseofcontinuumstructuresunderearthquakeexcitation.Chenetal.[3]usedfiniteelementmethodtoanalyzetheseism