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

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

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