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*,,(,710100):首先从模态振型叠加的角度分析了正弦激励下具有比例阻尼的系统输出位移响应,讨论了一般粘滞阻尼时系统用复模态参数表示的频率响应函数对给定的工程算例,运用MSC.Patran和Nastran软件进行电子设备的模态分析扫频振动以及随机振动的频响分析和数值仿真最后基于模态叠加理论分析了系统的冲击响应问题,并计算了简化模型在给定冲击条件下的位移响应:模态分析;频率响应;数值仿真:TN802;TP391.9:A:1008-5300(2010)05-0049-05AnalysisofVibrationModesandFrequencyResponseofAirborneElectronicDeviceFANGWeiq,iWANGKejun,ZHANGMing(XianElectronicEngineeringResearchInstitute,Xian710100,China)Abstract:Thispaperbeginswithananalysisofthesystemoutputdisplacementresponsewithproportionaldampingundersineexcitationfromthemodesuperpositionperspective,andthendiscussesthesystemfrequencyresponsefunctionintermsofcomplexmodewhenthereisviscousdamping.Forgivenengineeringexamples,MSC.PatranandNastranareappliedtotheelectronicdevicesmodeanalysis,frequencyresponseanalysisandnumericalsimulationofsweptfrequencyvibrationandrandomvibration.Finally,thesystemshockresponsebasedonthemodesuperpositiontheoryisdiscussedandthedisplacementresponseofthesimplifiedmodeunderagivenimpulsioniscalculated.Keywords:modeanalysis;frequencyresponse;numericalsimulation0引言,,,,,,1振动分析1.1(),1m,,k,c,x(t),y(t),(),,u(t)=y(t)-x(t),:H(s)=U(s)X(s)=-1s2+2ns+2n=As-s1+A*s-s*1(1)():=|H(j)|=U(j)X(j)=12n!1(1-22n)2+42(n)2(2)4920102652010.Vo.l26No.5电子机械工程Electro-MechanicalEngineering*:2010-07-18:2n=km,2n=cm1(1),N{F}sint,:[M]{y}+[C]{y!}+[K]{y}={F}sint(3):yj=!ni=1A(i)NjyNi=!ni=1A(i)Nj!FNi2i!1(1-r2i)+4r2i2ii!sin(t-∀i)(i,j=1,2,∀,n)(4):ri=i;∀i=tan-12iiri1-r2i,i,iii(3)s:([M]s2+[C]s+[K]){Y(s)}={X(s)}(5):[H(s)]=1[M]s2+[C]s+[K]=1[Z(s)](6)[H(s)][Hlp(s)]p,l,:Hlp(s)=Xl(s)Fp(s)=b2ms2m+b2m-1s2m-1+∀+b1s+b0a2Ns2N+a2N-1s2N-1+∀+a1s+a0=!2r=1Alprs-sr+A*lprs-s*r(7):aibj(i=1,2,∀,2N,j=1,2,∀,2m,N#m)[M][C][K];AlprA*lprsrs*r,:Alpr=Hlp(s)!(s-sr)|s=srA*lpr=Hlp(s)!(s-s*r)|s=s*r(8)s=j,:Hlp(j)=!Nr=1Alprj-(-rnr+jnr1-2r)+A*lprj-(-rknr+jnr1-2r)*(9):N;nrr;rr(1)(i){A(i)}()(),;2,:,xy,x;xy,∀x,∀,x,,21.2MSC.PatranNastran,,502672N/mm,0.1,18N/mm,,1.8∃10-9t/mm3,0.31.2.1模态分析,,,,33:,,:%%%,,111.7Hz11.9Hz14.7Hz23.9Hz26.2Hz26.9Hz186.6Hz217.7Hz413.6Hz423.6Hz3,:,,1,;,1.2.2振动数值仿真,4,424Hz48Hz72Hz96Hz4,2.4g,,5Hz~500Hz,313705,,,(SIMO)x(t),515,:5Sxx(),,N:i(i):Syiyi()=|Hi()|2Sxx()(10):Hi()i4,,21636,15.7Hz:12Hz25Hz190Hz400Hz(),(11.7Hz11.9Hz23.9Hz∀413Hz∀):(1),;(2),,,,(),,,,62冲击分析2.1:Hlp(s)=Yl(s)Xp(s)sr=#r+jrAlpr,l:hlp(t)=!Nr=12|Alpr|e-#rtcos(rt+∃lpr)=!Nr=12|Alpr|e-rnrtcos(1-2rnrt+∃lpr)(11)(11):lhlp(t)h~lp(t)#r,-rnr,r()1-2rnr2.2:,15g;11ms,PCL,,10mm20ms7,:(1),,,(2),,,,,,,,,,,x!i:52267x!i=&%0xid%(12)1:mu(t)+cu!(t)+ku(t)=-mx(t)(13)x!i,t#0,x(t)=0,:u(t)+2nu!(t)+2nu(t)=0(14):t=0,u!=-x!i,(14):u(t)=x!in1-2e-ntsin(n1-2t)(15)(15)(11),:,,,x!i=1.1∋0.1m/s,1.1~1.28,25ms,10mm8,70%,3总结,N,,,,,,,,():[1],,.[M].:,2001:130-207[2],.[M].:,1995:124-155[3]GJB150-87,[S].:,1987[4].[D].,2004:134-135[5],.[M].:,1998[6],.Patran2006Nastran2007[M].:,2007[7],.PatranNastran[M].:,2005[8].[Z].,2007:2-23:方伟奇(1978-),男,硕士,工程师研究方向为电子设备结构设计仿真分析等535,: