摘要
Thestructuresinengineeringcanbesimplifiedintoelasticbeamswithconcentratedmassesandelasticspringsupports.Studyingthelawofvibrationofthebeamscanbeahelpinguidingitsdesignandavoidingresonance.BasedontheLaplacetransformmethod,themodeshapefunctionsandthefrequencyequationsofthebeamsinthetypicalboundaryconditionsarederived.Acantileverbeamwithalumpedmassandaspringisselectedtoobtainitsnaturalfrequenciesandmodeshapefunctions.AnexperimentwasconductedinordertogetthemodalparametersofthebeambasedontheNExT-ERAmethod.Bycomparingtheanalyticalandexperimentalresults,theeffectsofthelocationsofthemassandspringonthemodalparameterarediscussed.Thevariationofthenaturalfrequencieswasobtainedwiththechangingstiffnesscoefficientandmasscoefficient,respectively.Thefindingsprovideareferenceforthevibrationanalysismethodsandthelumpedparameterslayoutdesignofelasticbeamsusedinengineering.
出版日期
2014年01月11日(中国期刊网平台首次上网日期,不代表论文的发表时间)