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Thick cross-sectional structure of the free vibration of conical shell


Edition, Beijing, Tsinghua University Press , 1987 IrieT, YamadaG. AomuraS, NaturalfrequenciesofMindlindrcularplates. AEJ. App1. hJJ. 1982l47 (3) l625-655FreeVibrationofThickTruncatedConicalShellCaiXianxl (NanhuaPowerplantResearchInstituteZhuzhou, 412002) AbstraetAtruncatedconicalshel1isanimportantstructura1componentinal1industria1applications. Analysisofthevibrationoftheshellisofgreatimportance. WhentheshellistOOthick, theKirchlhherftheoryofthinshellsisnolongeravailable. Inthispaper,[link widoczny dla zalogowanych], fromthetheoryofplatesandshellandtheMindlinas-sumption,[link widoczny dla zalogowanych], asetoffirst-orderdifferentia1equationswithr ~ pecttothetenstateparametersofathicktrun-cotedconicalshellarederived. Thedifferentialequationsarethensolvedbyusingthediscrete-varlablemethod. inwhichtherelationshipofthestateparameteretweenthetwoboundarypointsisobtainedbysolvingtheinitialvalueproblem, andthefrequencyequationisestablished. Inordertoincreasetheaccura-cyandthesteadinessofthesolution. asub-structuremethodisproposedinwhichathicktruncatedconica1shetlisdividedintoanumberofsub-structuresandtheRiccatitransformisusedtotransrthestatepa-rametersthroughallsub-structures. Intheendofthepapertwoexamples. afreediskwithtwodifferentthicknesses, andabevelgear, arepreselitedandtheresultsarecomparedwiththoseofexperiment, thoseoffiniteelementmethodandthosereportedbyotherinvestigatorsutilizingdifferentanalyticalandnumericaltechniques. Theexamplesshowthattheaccuracyofthepresentmethodissatisfactoryandhasahighst ~ adiness. keywords: thickwallshell, freevibration,[link widoczny dla zalogowanych], discretevariablemethod,[link widoczny dla zalogowanych], substructuremethod, Riccatitrans-form

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