88200628{{{””(,300072)·,..·,,,,.,,、,,.,、、.,,.1·(TheodorevonKm1881、1963),,18815n,196356.,1902,1906(G6ttingen),(Ludwigprandtl1875、1953),,1908.1911,.,.(KarlHiemen)z,,,.,.,,.,:“,”.,,.:“,.,.·,:“,?”:“”.·,,.,·,.200128.,.,.·:,;,,,,,,·,?,“,,”.·,:“1.,,...,,2.:“3?”.,,,;”.·,.·,,.·:“,.,.Bologna.tSChrisotpher.Chrisotpher,.”·,,(HenyreRignald1·1:2ID5ArunlptMa201815~1933),.(HenyrBard1874、1939).,.·1911、1912:,;.,,,.,,、、.,.,,,、,,.2hComaNarrowBirdge),.1940,640,8534m.4,11719ms/.,,(gm),450,,.,,.,:181819,n.,,2.;·,H,,,.·1954《》:,.,.,,.,.2060,,·.,,;,,3“”2060,325m,.15,.:、,,,;,.,,,,,.1912,·,、(JohnWilliamStrutRleigh,1842、191,(Aeoilanharp)().·:“,,.(GOngwer.CA.),,,.(GutscheF.),·.·,7(1=1852m),.·,,,.,;.,·1954《》,,,“”.4t,,.(3,4),.,,,,,f。d206082fSt(。/d),.:、;1%();,,,;,;,4000C;,.431vonKrmT.Aeronaes:SelectedOTpiesintheLightoftheirHitoriealDeve10Pment.CornellUniversiytPress,19542,,,.(2).:,2000“RlndamentalsofVibrations,,(Meirvoiteh)(,200436)LoeandrMie~itch《》(uFndametofVibrations,MeGr-awHill,2001).Meirvoithc,,《AnvalitcalMehtodsinVibrations))(Macimllan,1967),((ElementsofVibrationAnalysis》(MeGrHill,1970,1985),((PrineiPlesandeTehniesofVibratiosn))(Prentie-eHall,1997).,《ElementsofVibrationnAalyiss》,1(《》,,1982).《》((ElementsofVibrationAnalysis)).,.《》12,3.1“”,、,,、2005030,,.2“”,.3“”、、.4`”,、Laplace,.5“”,、、,.6“”,D,lAember,HamiltonLagrange.7“”,,,,,.8“:”、,.9