基于能量法的裂纹梁振动特性分析.pdf

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1、机床与液压Jun．2014HydromechatronicsEngineeringVo1．42No．12DOI：10．3969／j．issn．1001—3881．2014．12．007VibrationcharacteristicsanalysisofcrackedbeamsbasedonenergymethodE-chuanYANG十1．2，Ying—huiLI，XiangZHAOLiangLISchoolofMechanicsandEngineering，SouthwestJiaotongUniversity，Chengdu610031，China。Col

2、legeofMechanicalEngineering，ChongqingUniversityofTechnology，Chongqing400054，ChinaAbstract：Thetransversevibrationofthebeamwithopeningcrackswasstudiedinthispaper．Continuousbendingstifnessandshearstifnessofthebeamwerededuced，basedonenergydistribution．usingenergymethodoffracturemechanic

3、s．Then．thevibrationcharacteriscs0fcrackedTimoshenkobeamswerecalculatedusingmatrixtransfermethod．NaturaIfrequencyat-tenuation．whichfluctuateswiththevariationofcrackparameterssuchasdepthandlocationofacrack，wasanalyzed．Comparingtheresultswiththoseobtainedbythefinite·elementmethod，theva

4、lidityofthemethodusedinthispaperwasverified．Keywords：Crackedbeam，Vibrationcharacteristics，Continuousstifnessweakensectionmethod『3—4]andthelocalflexibil．1．Introductionitvmethod『5—7]．Bothofthemethodsaretosimu—latethestiffnessiustatthesectionwherethecracksBeamsarewidelyusedinvariouseng

5、ineeringoccur．However．infact，thecrackwillcausecontin—fields．DamagesofbeamswillappearduetohighHOUSstiffnessattenuationsnearthecrackregion．loadorotherabominableworkingenvironment．Usu—SwamidasandYangestablishedthecontinuousben．ally，thedamagesaremarkedfirstlybytheoccur—dingstiffnessands

6、hearstiffnessofacrackedbeamrenceandextensionofsurfacecracks．Thecracksarebasedonenergytheoryoffracturemechanics[8]．importantreasonforstructuralfailure．TheresearchThismodelreflectsthestressc0ncentrationofcrackofvibrationcharacteristicsofcrackedbeamsisthearea，whiletakingthestiffnessatt

7、enuationnearbythemostimportantbasictheoryofthedamagedetectioncracksectionintoaccount．Inthispaper，basedontechnology[1]．Itneedbeanalyzedquantitativelythecontinuousstiffnessmodelandmatrixtransferthathowcrackswillaffectthevibrationofabeam．Atmethod。vibrationcharacteristicsofcrackedTimosh

8、．present，anumberofe