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ID:34592355
大小:10.08 MB
页数:56页
时间:2019-03-08
《具损伤微纳米结构的非线性动力学-分析》由会员上传分享,免费在线阅读,更多相关内容在教育资源-天天文库。
1、硕士学位论文AbstractPiezoelectricmaterial,asanewtypeofmaterials,hasbeenappliedtoallkindsofindustry.Thecommonuseofpiezoelectricunitsanddevicespromotethematureofprocesstechnology.Asthedegreeofthebatchprocesshigher,thepriceofsingledevicecheaper,thesuperioritymoreobviouswhencomparetothetraditi
2、onaldevices.Butontheotherhand,aswidelyused,moreproblemsexposedtobesolved.Withthegeometrysizesmaller,themechanicalpropertiesofpiezoelectricunitsanddevicesnotscalereductionasweimagine,butgivesoutsomerelationstosize-dependent.Damagecausedbyproductionprocessandservicewearisunavoidably,It
3、isnotarealisticthatwechangeanewdevicesasthedamagehappened.ithasgreatsignificanceforstudyondamage.Alotofpiezoelectricunitsanddevicescansimplifiedtobeammodel,theresearchiscarriedoutaccordingtopiezoelectriclaminatedbeamsfromaspectsasfollows:Westudythenonlineardeformationsofcantileverpie
4、zoelectriclaminatedbeamswithdamageunderelectricfieldandmechanicalforce.Auniformconstitutiverelationcanbeusedtodescribenonlinearvibrationanalysisofthepiezoelectriclaminatedbeamwhenweconsideredsizeeffectanddamageeffect.BasedonthetheoryofcontinuummechanicsandtheEuler—bernoullitheory,the
5、dynamiccontrolequationexpressionofthecantileverpiezoelectriclaminatedbeamswasdeduced.ByusingGalerkin’Smethod,wetranslatethecontrolequationintononlinearordinarydifferentialequations,theresponsesofthesystemareobtainedthroughnumericalintegrationmethod.Thenwediscusstheresultsbe.tweenwhen
6、theeffectofgeometricnonlinearityisconsideredandbeenneglected,theresultsbetweendifferentcontrolvoltage.Weobtainaseriesofcriticalpull-involtageaswesetthedifferentlengthorthedifferentdamageparameter.Nextweusefiniteelementmethodforsolvingandcomparedtheresultsofthetwogroups.Throughcompari
7、ng,itisfoundthatasthecontrolvoltageincreaseorthedamageincreasethecriticalpull—involtagedecrease.WhencomparetotheNormalbeam,thepull-involtageislow.Finally,somechallengesarepointedout.WhencomparedthetwodifferentMethods,theansysresultsiSlowunderthesamecondition.Theharmonicbalancetechniq
8、ueisusedfors
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