考虑多状态柔性啮合的齿轮系统动态特性研究

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关键词：直齿轮系统；轮齿柔性啮合；多状态啮合；时变参数；共存行为 中图分类号：TH132.41 文献标志码：A DOI：10.16385/j.cnki.issn.1004-4523.202411036

Abstract：Theflexibilityofgear tethundercyclic varyingloadscaninduce meshing impactandnonlinear vibrationof gearpairs. Revealingtheultistatemeshingcharacteristicsandnonlineardynamiccharacteristicsofspurgearsystemsconsiderigtthflexibilitylaysthefoundationforthesafeandreliableoperationof transmisionsystems.Basedonthecantileverbeam theoryand gear meshingprinciples，theflexible deformationof meshing teeth iscalculated，andthecalculation methodforflexible time-varying meshingparametersofgearpairsisderived;basedonthecontactstatesandloadingconditionsofthegearpairs，extractthecharac teristics of multi-state flexible meshing，and anonlineardynamic modelof the spur gearsystem with multi-status flexible meshing isestablished;studytheevolutionlawsofflexibletime-varyingmeshingparametersandthedistributioncharacteristicsofflexible deformationofgearteethudermultiparameterscorrelation，anduncovertheglobalbifurcatioandchaoscharacteristicsofthesys temwhentheteethflankclearancechanges.Theresultsidicatethattheflexibilityofthegeartethreducesthedoubleteethmes ingarea，fectsthemesingparametersandmultistatusmeshingcharacteristicsofthegearsystem，andinducesoutof-liemesh ingofthegearpair；thevariationofteeth flankclearancecauses thecoexistenceofperiodicmotionsandchaoticmotions，andincomplete bifurcationunder multiple initialconditions is the fundamental cause forsuch dynamic behavir coexistence.

Keywords： spurgearsystem;flexibilityteeth engagement;multi-status engagement;time-varyingparameters;coexistencebehavior

齿轮作为重要的机械传动元件，能够高效地传递动力和运动，被广泛应用于各种机械装备[1-2]。（剩余11662字）