摘要:
针对舰载旋转机械的水下非接触爆炸冲击动力学响应问题,提出了一种基础冲击转子-轴承系统
建模理论。结合牛顿运动定理、动量矩定理和Timoshenko梁理论,推导出了系统动力学微分方程,方程综合
考虑了转子的旋转惯性力、剪切力、陀螺效应、轴向力、轴向扭矩以及轴承的油膜力。通过在时间域和空间域
分别采用直接积分法和Galerkin有限单元法求解方程,得到了系统冲击响应的时间历程。验证了建模理论
的准确性。最后,通过实际工程应用考察了陀螺效应对冲击响应的影响,得到了冲击激励和工作载荷共同作
用下的系统响应。得到的结论为:建模理论和计算方法是正确的;陀螺效应对响应的影响不可忽略;工作载荷
会增大响应,但考虑工作载荷时的冲击总响应不是工作载荷下稳态响应与不考虑工作载荷时的冲击响应的
绝对值相加,两者存在较大差异。
Abstract:
Abstract:Arotor-bearingsystemunderbase-transferredshockexcitationwasestablishedbyapplying
theGalerkinfiniteelementmodeltosimulatetheshipboardrotatingmachinerysubjectedtounderwaternon-
contactexplosion.Basedonthe Newton'stheorem,moment-of-momentum theorem and
Timoshenkobeamtheory,thedynamicdifferentialequationsofthissystemwerederivedbysyntheticallyconsideringtherotatinginertia,
shearforce,gyroscopiceffect,axialforce,axialtorqueandoil
filmforce.Thedynamicdifferentialequationsweresolvedbyusingthefinitedifferencemethodsin
thetimedomainandthefiniteelementmethodinthespacedomain,respectively.Andthetime-varyingshockresponsesofthissystemwereobtained.
Theaccuracyoftheproposedmodelwasverified.
Finally,anapplicationexamplewasgiventoanalyzetheinfluencesofthegyroscopiceffectandsteady
workloadingontheshockresponsesofthissystem.Investigatedresultsshowthattheaccuracyofthe
proposedmodelingandcomputationmethodcanmeettheengineeringrequirementandthegyroscopic
effecthasanobviousinfluenceontheshockresponses;andthattheworkloadingcantoneupthesystemresponse,
buttheoverallresponsewiththesteadyworkloadingbeingconsideredisdistinctfrom
thesumofthesteadyresponseandtheshockresponsewithoutthesteadyworkloadingbeingconsidered.