Internal motion of the complex oscillators near main resonance

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    摘要 Ananalyticalstudyofthetwodegreesoffreedomnonlineardynamicalsystemispresented.Theinternalmotionofthesystemisseparatedanddescribedbyonefourthorderdifferentialequation.AnapproximateapproachallowsreducingtheproblemtotheDuffingequationwithadequateinitialconditions.Anovelideaforaneffectivestudyofnonlineardynamicalsystemsconsistinginaconceptofthesocalledlimitingphasetrajectoriesisapplied.Bothqualitativeandquantitativecomplexanalyseshavebeenperformed.Importantnonlineardynamicaltransitiontypephenomenaaredetectedanddiscussed.Inparticular,nonsteadyforcedsystemvibrationsareinvestigatedanalytically.
    机构地区 不详
    出处 《力学快报:英文版》 2012年4期
    出版日期 2012年04月14日(中国Betway体育网页登陆平台首次上网日期,不代表论文的发表时间)
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