刚柔耦合系统动力学建模新方法(2)

为分析动力刚度项的影响程度,在此定义无量纲转速

θ=0.6,8=1.57rad (b)Ξs

Ξ=

T

(

t-

2Π

sin

T

)　　0≤t≤T

(13)

当前最流行的研究方法,刚柔耦合

第2期王建明等:

刚柔耦合系统动力学建模新方法

197

分析,采用计及动力刚化效应的一阶完备动力学模型是十分必要的。

参　考　文　献

1　KaneTR,RyanRR,etal.Dynamicsofacantilever

beamattachedtoamovingbase.JournalofGuidance,Control,andDynamics,1987;10(2):139—1512　YangZJ,rge2displacementfiniteelement

.ASMEJournalofMechani2analysisofflexiblelinkages

θ=0.8,8=2.35rad

(c)Ξs

calDesigin,1990;112:175—182

3　BanerjeeAK,DickensJM.Dynamicsofanarbitrary

flexiblebodyinlargerotationandtranslation.JournalofGuidance,Control,andDynamics,1990;19:221—227

4　uSCHauglinearsubstructuring

forofs.Internatio2

rumericalMethodsinEngineering,

26:2211—2226

5　蒋丽忠,洪嘉振.柔性多体系统产生动力刚化原因的研

究.振动与冲击,1999;16(4):403—409

6　ZhangDJ,LiuCO,HustonRL.Onthedynamicsof

θ=1.0,8=3.14rad (d)Ξs图2　不同转速下的末端弹性位移

anarbitraryflexiblebodywithLargeoverallmotion,anIntegratedapproach.Mech.Struct.&Mach,1995;23(3):419—438

7　王建明,刘又午等.空间桁架结构动力刚化有限元分析.

转速达到或超过系统基频时,传统线性化模型的计

算变形无界。可见,对于高速、大柔性构件的动力学

振动与冲击,1997;16(4):12—17

ANewModelingMethodforRigid-ElasticCouplingSystems

WangJianming

(SchoolofMechanicalEngineering,ShandongUniversity　Jinan,250061)

HongJiazhen

(DepartmentofEngineeringMechanics,ShanghaiJiaotongUniversity　Shanghai,200030)

LiuYouwu

(SchoolofMechanicalEngineering,TianjinUniversity　Tianjin,300072)

Abstract　Themechanicalsystemsundergoinghigh2speedandlongrangemotioncanproducethephenomenonofdynamicstiffeningduetothecouplingbetweenrigidmotionandelasticdeflection,andtraditionaldynamicanalysiscanhardlydealwiththisphenomenon.TheKane’sequationareusedtoestablishtheperfectfirst2orderdynamicequationsofthesystemsintheconditionofgeneralizeddeformingcoordinateswhichareaccuratetothefirst2ordertermscompletely.Itisshownthatthetra2ditionaldynamicequationsmissnotonlythedynamicstiffnesstermsbutalsosomecouplinginertiatermsbycomparingthe.Anewmethodofformingtheperfectfirst2perfectfirst2orderdynamicequationstothetraditionalonesorderisprovided.Keywords:dynamicequations;rigidandelasticcoupling;dynamicstiffening;Kane’sequation

第一作者　王建明　男,博士后,副教授,1962年5月生.电话:(0531)2912260;E2mail:jmwang@