转子动力学基础知识与DyRoBeS简介.

1、权砂权旧恤血 110R ) tiWW1R4>CTWWW-W»t1 The mjterldl conu»'n«d Mrtn h proprietary andcon<4enb< 0 2014 Xx,Turbo All rights reserved.XECATURBOSeca转子动力学基础知识与DyRoBeS 简介权砂权旧恤血 110R ) tiWW1R4>CTWWW-W»t1 The mjterldl conu»'n«d Mrtn h proprietary andcon<4enb<

2、 0 2014 Xx,Turbo All rights reserved.权砂权旧恤血 110R ) tiWW1R4>CTWWW-W»t1 The mjterldl conu»'n«d Mrtn h proprietary andcon<4enb< 0 2014 Xx,Turbo All rights reserved.宾光富博士联系电话归IMd( 1CTTI tlffWWM>aSWm91f-WS*l.时内加力命E!R 税E的.Th«conUlntd herein h pcopritUry &#

3、171;rdconfidential. 0 20M XcaTurbo. All rights rex«vedECA转子动力学基本知识 DyRoBeS* Rotor 软件例题分析权砂权旧恤血 110R ) tiWW1R4>CTWWW-W»t1 The mjterldl conu»'n«d Mrtn h proprietary andcon<4enb< 0 2014 Xx,Turbo All rights reserved.第一部分横子动力学赛本知识9ECA1.1转子轴承基础1.2转子动力学基础1.3转子振动方式1.4转子振动分析1

4、.5转子轴承基础系统模型砂恤血 1 仙 I公YJRfl SHI內5碇mBR. Tb< mjterldl contned h«re4n h propHeury md conff4entM>. 0 2014 XtciTurbo AJI rights reserved.1.1转子-柚承基础Seca对于任何旋转机械，主要着眼于机器的结构尺寸、功能、 转速等，不论是大型旋转机械还是微型旋转机械，其建模和 分析方法类似。任何旋转机械包含三部分：转子，轴承及其支撑部件。kimmzh恤血 I it*)i-jffwmixjBwww-toffffi蜃存附Tb< mjterldl con

5、u.n«d Is proprietary and conff4entM>. O 2014 XvciTurbo. AJI rights reserved.1.1轶子轴承墓础具体十物理数学模型结构 模型 模型 的解孑TW4、开值附于田卬5"耳的 Th< mjterlal conu»ned Mrtn h proprietary and conMenb. 0 2014 XtciTurixo AJI Hf mervtd.1.2轶子动力学基础ECA研完对象：旋转机械转子及其相关部件、结构的动力学特性.研究内容：动态振动、响应、疲劳、强度、可靠性、稳定性、状态监 测

6、以及故障诊断和控制。研究范围：转子系统动力学建模及其分析计算方法；转子系统临界转 速的求解；振型与不平衡响应；转子系统稳定性分析；支承转子的各类 轴承的动力学特性；转子的平衡技术；转子系统的故障机理及动态特性; 故障的监测方法及诊断技术：密封动力学；非线性的振动、分叉与混沌; 转子系统的动态响应测试和分析技术；系统电磁激励和机电藕联振动； 系统振动和稳定性控制技术.丰如股収Hoti血（5）饰祁松sser开停ir-oem,两为仔qm.弋斛Tm mjtadal conuAntd Mrtin Is propritury andconff4entf«L O 2014 XtcTurbo. Al

7、l rights reterved.1.2轶子动力学林础涡动概念：转轴中心围绕轴用中心所做的转动。附亂 Th# mjterlal cont»ned Mrtn Is proprietary andconff4en(. O 2014 XvciTurbo AJI dghti reserved.1.2轶子动力学林础正进动：涡动力向（2与转了旋转方向®相同的涡动。 反进动：涡动方向。与转子旋转方向co相反的涡动。附亂 Th# mjterlal cont»ned Mrtn Is proprietary and conff4en(. 0 2014 XvciTurbo AJI d

8、ghti reserved.1.2转子动力学基础ECAE«|uiUbrium Posidon附亂 Th# mjterlal cont»ned Mrtn Is proprietary andconff4en(. O 2014 XvciTurbo AJI dghti reserved.1.2轶子动力学林础附亂 Th# mjterlal cont»ned Mrtn Is proprietary andconff4en(. O 2014 XvciTurbo AJI dghti reserved.1.2轶子动力学林础假设有一恒定Q ,由牛顿运动定律可求出质心的运动方程:附亂

9、 Th# mjterlal cont»ned Mrtn Is proprietary andconff4en(. O 2014 XvciTurbo AJI dghti reserved.1.2轶子动力学林础附亂 Th# mjterlal cont»ned Mrtn Is proprietary andconff4en(. O 2014 XvciTurbo AJI dghti reserved.1.2轶子动力学林础+esin(d +0)=-C, y- K,y加务(x+ecos(Qr+d) = -C, x- K,xm x+ CK x+ Kkx = mcQ' cos(Q/

10、 + 0)m y+ Cy y + Kyy = meQ: sin(Qr * 0)附亂 Th# mjterlal cont»ned Mrtn Is proprietary andconff4en(. O 2014 XvciTurbo AJI dghti reserved.ECA1.2转子动力学基础转子轴承模型Tht rnjtedal contned Mrtn Is proprltury Andcon<U«n(M*. 0 20H XtcTurbo All rights reserved.ECATht rnjtedal contned Mrtn Is proprltury A

11、ndcon<U«n(M*. 0 20H XtcTurbo All rights reserved.ECAKbx, KbyrCbx. CbvUnbalanced DiskFlexible, Massless SliaftThe Laval-Jeffcott rotori Rigid一 BearingsGeneralized Laval-Jeffcott rotor(it* >,伽W«8 为仙 . IEBB. The rrwtadal conuAied hwrw/n Is propdeury and conff4«nti4i. O 2014 X«

12、C4TurtK>. All rights reserved.FlexibleBearings x1.2桂子动力学基础SECA31起机组振动故1*的常见原因人激振力人轴瓦振动轴振动普通强迫振动支撑动刚度自激振动轴 瓦 自 激汽流激振Tht rnjtedal contned Mrtn Is proprltury Andcon<U«n(M*. 0 20H XtcTurbo All rights reserved.1.3.2 Torsional VibrationTECA Yx material cont»n»d Mrt«n Is propHetav

13、y Midcon<4on6" O 2014 XtciTurbo All rights reserved.1.3.2 Torsional VibrationTECA转子的振动方式： Lateral Vibration：横向振动 Torsional Vibration：扭转振动 Axial Vibration：轴向振动Ttw mjteHdl cont»hod Is proprietary and con<4«nt>4>. 0 2014 XtciTurtn) All dghts merv«d.1.3.1 Lateral Vibratio

14、nECA高速旋转机械中，转子横向振动占主导。它会引 起轴涡动，产生故障，甚至会引起转子（叶片）与定 子（外壳）碰磨，产生严重的机械故障。(1.Model Simunary2.Static Deflection & Bearing Loads3. Critical Speed Analysis4. Critical Speed MapLateral 丄Vibration '5. Whirl Speed & Stability Analysis6.Steady State Synclironous Response Linear System7.Steady Synclir

15、onous Response - NonLiiicar System8.Timc Transient Analysis9.Stcady State Hamionic Excitation Response、10.Steady Maneuver Load Analysis扭转振动，旋转振动模态阻尼很小，模态阻尼比 一般取0.01-0.1 o在高速旋转机械中,一般很难检测。f 1.Model Sununary2.Natural Frequencies and ModesTorsional ) 3.steady Stale Forced Response Vibration4.Transient R

16、esponse by Time Dependent ExcitationsJ 5.Startup Tnuisicnt Analysis (Speed Dependent Excitations) Yx material cont»n»d Mrt«n Is propHetavy Mid con<4on6" O 2014 XtciTurbo All rights reserved.1.3.3 Axial VibrationTECA Yx material cont»n»d Mrt«n Is propHetavy Midco

17、n<4on6" O 2014 XtciTurbo All rights reserved.1.3.2 Torsional VibrationTECA Yx material cont»n»d Mrt«n Is propHetavy Midcon<4on6" O 2014 XtciTurbo All rights reserved.1.3.2 Torsional VibrationTECA轴向振动，引起轴向窜动，尤其在齿轮啮合中。 般机械使用止推轴承来消除轴向窜动。AxialVibration(I .Model Summary<

18、2.Natural Frequencies and ModesJ 3. Steady State Forced Response Yx material cont»n»d Mrt«n Is propHetavy Midcon<4on6" O 2014 XtciTurbo All rights reserved.L4转子报动分析ECA单自由度振动:L««l14转子振动分析ECAUndeformed PosttlonMZP-Staticx Equilibrium Pobonm DiskLK,M,eKgKbyrvw mjtorldl

19、conu>ned hirtm Is propdtury and conff4en04*. 0 20 M XtciTurbo All Hhts reserved振动方程：lliz + cz + kz = 7g + Jt)Z = X +，鸟 = 7gZ= undeformed position (bearing geometry center) x= static equilibrium positionmx + ex + Ax 二 f(t)x(t) = xh(<t) + x (t)权IMS伽灿1血I 4UR )树HUR公53W!只GW Y3KI1 I*帕期.吨常 附亂 Th# m j

20、 tert al conu>ntd M&n 1$ propdtury andcon<4enb4*. O 2014 XtciTurbo AJI rthti rnervvd.L4转子振动分析ECAL4转子振动分析ECAL4转子振动分析ECAL4转子振动分析ECABB Ym mjterldl cont»n«d h«rtn 1$ propritury and con<4«n. 0 2014 XfCjTurtxj AJI rights reserved.ECA1.4.1自由振动mx + ex + kx = 0,x(0) = xo,x(O)

21、 = xoL4转子振动分析ECAL4转子振动分析ECA权««粒M恤血!) to»W1R4>5»WFW-Wf2t1.班斛BB Ym mjterldl cont»n«d h«rtn 1$ propritury and con<4«n. O 2014 XfCjTurtxj AJI rights reserved.1.4转子振动分析特征值:阻尼指数殳 _2帀0 =壮粒H恤血 5 4MK)*WlWt9«eni» .班瞎叨口軌、开附于田*1®!”3的.Tht rnjteddl cont

22、»'n«d h«re<n Is proprietary «ndcon<4enb4>. O 2014 XtciTurbo All rights rnervtd.1.4转子振动分析壮粒H恤血 5 4MK)*WlWt9«eni» .班瞎叨口軌、开附于田*1®!”3的.Tht rnjteddl cont»'n«d h«re<n Is proprietary «ndcon<4enb4>. O 2014 XtciTurbo All rights

23、rnervtd.1.4转子振动分析F J")? + /权皿粒1£畑血 4) tiffWWH>CTWWW-Wf5W叨口軌、开附于田Jflikm的.Tht rnjteddl cont»'n«d h«re<n Is proprietary «nd con<4enb4>. O 2014 XtciTurbo All rights rnervtd.1.4.11.欠阻尼是一种振幅逐渐衰减的振动2过阻尼是一种按指数规律衰减的非周期蠕动，无振动发生3临界阻尼是按指数规律衰减的非周期运动，比过阻尼衰减快壮粒H恤血 5 4M

24、K)*WlWt9«eni» .班瞎叨口軌、开附于田*1®!”3的.Tht rnjteddl cont»'n«d h«re<n Is proprietary «ndcon<4enb4>. O 2014 XtciTurbo All rights rnervtd.1.4.1SecaI 鼻由报动TECA.2强迫振动ECAECA1.4.2强迫振动ECAECA<V= In f= In=In/ "丿lx/+i 丿权权”恤血【4t* >*w«wts«em.B

25、B. Th# material cont»h«d Mrtn 1$ pruprietary and conff4enb4>. O 2014 XtciTurtx) All rights 心ervd1.4.2强迫报动从右图可知，激振力F°为：F=(kX-mQ2X)2+(cQX)2v凡振幅X为：yr血-加Q2)2+(cQ)2滞后相位角为：e = W(E)1. Unbalance常见强迫振动2. Shaft Bow3 Harmonic Excitation4. Static LoadrwwzH畑血 i it* >, fitwpjwtaMPemt.ECATh# m

26、jterldl cont»ned Mrtn 1$ proprietary and con<4enbl. 0 2014 XtcaTurtx) All dhts reserved.1.4.2强迫振动1. Steady State Response Unbalance1.4.2强迫振动ECA2. Steady State Response 一 shaft bow1.4.2强迫振动ECA1.4.2强迫振动ECABB. TM mtarlal cont»*ned hwrtn Is propritury md conlMentUl. 0 2014 XtciTurtx). All r

27、ights reserved.ECA1.4.2强迫振动3 Steady State Response 一 Harmonic Excitation1.4.2强迫振动ECA4. Steady State Response 一 Static load恤血 t it*)ctwww-iwsfK. %斗附的.Tht mjterldl conu/ntd Mrt4n Is proprietary and con«enb4> 0 2014 XvciTurbo All rights reserved.1.4.2强迫振动ECA5. Steady State Response 一 All Togeth

28、er 4M*> «BB. The mjtadal conuied Mr個 Is proprieury md conmn3 O 2014 XtcjTurtx). All rights reietved.1.5软子轴承基础系统棋型ECARotor System Configuration_ _ _占一亠y r . y* q_ . k.r匕匚" 丫厂'* '， b 丁; 1 FJV)m htym m“ akV二n .八'.一 _ 一亠 "- d . 一 av r w v vma1 'Mlwv 1 n>l哼一工n上£C

29、DS1UJJO*JQKnPw>ssion M90Q Hui" F QRWRD PrecissonPrfctttion«i FC*?W"Q Prortfcmr6t)«<Routon* Speea 3(X3fpm.MoaeNo« 4SnaftRotHcnai 8r<*e 1 = 3600rpm. MoceNo= 6Whli j :DarvoelNatirtf » tq J = 635 -ten. Luq 0«r»nirn! = 0 0000 只Mr，gpMjQaM刃：- 5讥 Ltg OxemM(HO

30、MccnMenb4*. 0 2014 X«c«TurtK> All rights reserved.P1.5转子轴承赛础系统棋atECA1.5软子轴承基础系统棋型ECA1.5软子轴承基础系统棋型ECARotor-BearingSuppoFt System ConfigurationOfoeeS Eiirrwle Lef3lMtr.wionComortnorTram - CdiMMvcTM ETur rtne swionnumcc nfit model QLiortErr pictureYCfcfBrtion Dcflodcn Mat 00083900Crtkal Sp

31、eed Mode Shape. Mode No s I SpinV/hlri Rato 1. St (Thrift ly CEB Rg" 206S rprrt J4 >0 H?2.1前处理-总体概述ECACre<«i 0<eed Uc-se OMg« os w 2r,O -:- .r. r- 八八,'CHK»19C«« 3339 HHVi »MlMode Chopc04e No - i 只1 8tfTn«»» Oi»*Ky>V2 CC* l»i

32、a rp<na j« m m?第二部分 Dyrobes-rotorTECA厂2前处理2.2计算分析Dyn:beS J 2.3 后处理-rotor 、2.4 ToolsJ 2.5 Dyrobes-rotor常用模块The lateral vibration of (he discretized system is described by two translational (x. y) and two rotational ©Coordinates at each finite element station. The motion of a flexible sup

33、port is described by two translational displaceinents (x, y). Tlie analyses for lateral vibration contain:Stmic Deflection and Bcnmg/Constraint RccciionsCYilicnl Speed AnalysisSpeed Map AnalysisWhirl Speid Slabilhy AnnlysisSlcady State Synchronous Response Analysis Lincnr SyslcmSkady S【;】2 Synchiono

34、iis Response Azlysis - NonLmcar SyslcHiTunc TransiciH AnalysisSkcdy SlMc HwHionicResponse AnalysisSteady Maneuver Load Analysismas殴”恤血 I ictt i.班vTh# mjttrldl conu/ned htrtn Is proprietary mdconff4«ntM> O 2014 XtciTurbo AJI rights reserved.2.1前处理-总体概述ECAFor torsional vibration, the motion of

35、 each fiiiile element station is described by a rotational displacement (J alx)ut the spinning axis. The systems can be continuous, discrete, or tlie combination of coiitinuous and discrete elements. The analyses for torsional vibrationNMiinil Frequencies mid Iodcs CalculationSlcady Slalc Forced Res

36、ponse AnalysisTnmsiciH Analysis (I imc DcpcndciH Excihtions)Startup Tnuisicm AnHysis (Speed Depended lixeitations)For forced response analyses including (lie transient analysis. tlie modal damping can be specified if tlie direct damping is not readily available.不W4、开附于任的.mjttrldl conu>n*d h«

37、rtn H proprietary andccn<4«nb. O 2014 XtciTurbo All dQhts mervwd.2.1前处理总体概述旨ECAFor axial vibration, (he motion of eacli finite element station is described by a translational displacement (z) along the spinning axis. Similar to the torsional model, the systems can be continuous, discrete, or

38、 the coinbinatiou of conliiiuous and discrete elements. Tlie analyses for axial vibration arc:Ndliind Frequencies mid Iodcs CalciilalionSteady StMe Forced Response AmlysisSeveral design Tools: Acrodvnamic Cfoss Coupling Calciilalion. Rolling Element Bearing Slitlhcss Calcuknion. Liauid Aiinukir Seal

39、 Dymunic CoctYici“i(s. Gas Lnby Seal Dynamic Coefficients. Squeeze Film Damper Stiffness and Damping Calculatioiu Moss/Inirtki Properties CalcukHiou. Rolor Orbit Analysis. Bakmcing (Slculntion. and AutoBnlancing Analysis.权 Hfrtihsw: it*)asw mpw-wKfi, 想于田The mjtadal conuAned hwrtin Is proprleury and

40、conff4«nt)44.0 2014 XeoTurtx. All rights reserved.2.1前处理总述旨ECAData Utilization for Lateral, Torsional and Axidl AnalysisFolderLatarjlTorsionalAxialUnits/DesenpbonYesYesYesMaterialYesYesYe£Shatt ElementsYesYesYesDsksYesYesYesUnb3tanceYesNoNoYesNOKoSupportsYesNoNoFoundationYesNoNoUser 's

41、 ElementsYesNoNofluoal ForcesYesNoNoState LoadsYesNoNoCansijrts NONoMisaior meritsYesNONoShaft BowYesNoNoTime Forcing FunctionsYesNoNoHarmonic ExcibtK nsYesNoNoTortionalfAxidl TabConge w tvNoYesYesNon-Linear CouplingNoYesNoModal DampngNOYesYesSteady State E«c<atr)nNoYesYesExctations in EcfjM

42、onsNoYesNobitxons from Jjta FifesNOreshoStartup Dnvig TorcueNOY”NoStariuo Load TorayNoYewNo(it*conff4tnt)4L O 2014 X«c«T2.1前处理ECA2.1前处理ECA前处理计算分析后处理 其他工具2.1前处理ECAECA已知：1 结构尺寸：离散化2材料：密度，弹性模量，剪切模量 3工况：外力作用，密封等( it* >, WrWPJWWMfem® .想5*09”耳酌 The material conu/ned Mr«fn 1$ proprit

43、ury and conff4n3 0 2014 XccTurtx). AJI riqhts reserved.2.1前处理2.1前处理ECA2.1前处理ECA1 .单位统一，材料库2转子轴的模型，支撑结构的模型3外部施加的力2.1前处理ECA权櫛收 Hfygftw:ri»w. i*wR«t8*weni».列nBB. Th< mj tori al cont»h«d h«ren 1$ propritury md con<4«nb. O 2014 XtciTurix) All dghts reserved.2.2 计算

44、分析Lateral vibrationECAStatic Deflection and Bearing/Constraint ReactionsECA计算分析Lateral vibration2.2 计算分析Lateral vibrationECA2.2 计算分析Lateral vibrationECACritical Speed Analysis2.2 计算分析Lateral vibrationECACritical Speed Map2.2 计算分析Lateral vibrationECA2.2 计算分析Lateral vibrationECAShat ChecoP Rosy帜e P心 P

45、 Gyroicacc 厂 3SiMJp/ShX>wnFFXSUte DWtectengdSeeedMaH*$(vAMReHod Mote*$4%wnP Coiamd SiffcxEMr 005WUCt. I*wSfnchonom Rmpotm Wm$<Me Method|0IWM Sce«j vdr MmU3K 厂 Cm UrMance r r0 rSMTBcm g gG««0KV1 GUZI SWcUadi rg$crcvi0RPMSiMitrvKOKRPMSM1910(0040OX)fdng4X00 M Mail UrMrK*too气t'T

46、T.哼100厂 SK6o*Ho &Mq*«$Earldco $M*1厂 XSlewP AISyncHcmdSMiSZM Manw ! CcnW "HeboM S«fetcn arxci T sSXFPM pACCMODV55 XS«Mt Hmonc ExMtrNmmoG:VetcHRotaiMmmoG? V«K#RoiOfVI tfterdOpthn R R" Iimr2.2 计算分析Lateral vibrationECA2.2 计算分析Lateral vibrationECA$ECA2.2 计算分析Lateral vibrationWhirl Speed & Stability Analysis | & = + 冋、2.2 计算分析Lateral vibrationECA2.2 计算分析Lateral vibrationECA2.2 计算分析Lateral vibration ®eca2.2 计算分析Lateral vibration ®ecaSteady State Synchronous Response- Linear System2