Springer Tracts in Mechanical Engineering Tianjian Lu Fengxian Xin Vibro-Acoustics of Lightweight Sandwich Structures Science Press Beijing Springer Tracts in Mechanical Engineering Forfurthervolumes: http://www.springer.com/series/11693 Tianjian Lu • Fengxian Xin Vibro-Acoustics of Lightweight Sandwich Structures 123 TianjianLu FengxianXin Xi’anJiaotongUniversity Xi’an China ISSN2195-9862 ISSN2195-9870(electronic) ISBN978-3-642-55357-8 ISBN978-3-642-55358-5(eBook) DOI10.1007/978-3-642-55358-5 SpringerHeidelbergNewYorkDordrechtLondon JointlypublishedwithSciencePress,Beijing ISBN:978-7-03-041322-2SciencePress,Beijing LibraryofCongressControlNumber:2014942660 ©SciencePressBeijingandSpringer-VerlagBerlinHeidelberg2014 Thisworkissubjecttocopyright.AllrightsarereservedbythePublishers,whetherthewholeorpartof thematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation, broadcasting,reproductiononmicrofilmsorinanyotherphysicalway,andtransmissionorinformation storageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodology nowknownorhereafterdeveloped.Exemptedfromthislegalreservationarebriefexcerptsinconnection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. 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Printedonacid-freepaper SpringerispartofSpringerScience+BusinessMedia(www.springer.com) Preface The purpose of this book is to present the vibration and acoustical behavior of typicalsandwichstructuressubjecttomechanicaland/oracousticalloadings,which actuallyformaclassofstructuralelementsofpracticalimportanceinhugeamounts ofengineeringapplications,suchasaircraftfuselage,shipandsubmarinehulls.The contentsofthisbookhasgrownoutof the researchactivitiesof the authorsin the fieldofsoundradiation/transmissionof/throughlightweightsandwichstructures. Thebookisorganizedintosixchapters:Chapter1dealswiththevibro-acoustic performance of rectangular multiple-panel partitions with enclosed air cavity theoreticallyandexperimentally,whichhasaccountedforthesimplysupportedand clamp supported boundary conditions. Chapter 2 concerns with the transmission of externaljet-noise througha uniform skin plate of aircraft cabin fuselage in the presence of external mean flow. As an extension, Chap. 3 handles with the noise radiationandtransmissionfrom/throughaeroelasticskinplatesofaircraftfuselage stiffened by orthogonally distributed rib-stiffeners in the presence of convected meanflow.Chapter4developsatheoreticalmodelforsoundtransmissionthrough all-metallic,two-dimensional,periodicsandwichstructureshavingcorrugatedcore. Chapter 5 focuses on the sound radiation and transmission characteristics of periodicallystiffened structures.Ultimately, Chap. 6 proposesthe soundradiation and transmission behaviorsof periodicalsandwich structureshaving cavity-filling fibroussoundabsorptivematerials. Thisbookisinvolvingmultidisciplinarysubjectsespeciallyincludingcombined knowledge of vibration, aeroelastics and structural acoustics, which pays much attention on showing results and conclusions, in addition to mere theoretical modelling.Thereforethisbookshouldbeofconsiderableinteresttoawiderangeof readersinrelevantfields.Itishopedthatthecontentofthebookwillfindapplication notonlyasatextbookforawideaudienceofengineeringstudents,butalsoageneral referenceforresearchersinthefieldofvibrationsandacoustics. Xi’an,China T.J.Lu F.X.Xin v Acknowledgements Althoughthe contents of this bookhas grown outof the research activities of the authors, we would also like to deeply appreciate the reproduction permission for figures, tables etc. from Elsevier, AIAA, ASME, Acoustical Society of America and Taylor& Francis Ltd. These research activitiesare supportedby the National BasicResearchProgramofChina(GrantNo.2011CB610300),theNationalNatural Science Foundation of China (Grant Nos. 11102148, and 11321062) and the FundamentalResearchFundsforCentralUniversities(xjj2011005). vii Contents 1 TransmissionofSoundThroughFiniteMultiple-PanelPartition...... 1 1.1 SimplySupportedFiniteDouble-PanelPartitions..................... 2 1.1.1 Introduction.................................................... 2 1.1.2 VibroacousticTheoreticalModeling ......................... 4 1.1.3 MathematicFormulationandSolution....................... 5 1.1.4 ConvergenceCheckforNumericalResults.................. 10 1.1.5 ModelValidation.............................................. 11 1.1.6 EffectsofAirCavityThickness .............................. 13 1.1.7 EffectsofPanelDimensions.................................. 17 1.1.8 EffectsofIncidentElevationAngleandAzimuthAngle.... 20 1.1.9 Conclusions.................................................... 23 1.2 ClampedFiniteDouble-PanelPartitions............................... 24 1.2.1 Introduction.................................................... 24 1.2.2 ModelingoftheVibroacousticCoupledSystem............. 26 1.2.3 ModelValidation.............................................. 32 1.2.4 FiniteVersusInfiniteDouble-PanelPartition................ 34 1.2.5 EffectsofPanelThicknessonSTL........................... 35 1.2.6 EffectsofAirCavityThicknessonSTL ..................... 37 1.2.7 EffectsofIncidentAnglesonSTL ........................... 37 1.2.8 Conclusions.................................................... 40 1.2.9 SoundTransmissionMeasurements.......................... 41 1.2.10 RelationshipsBetweenClampedandSimply SupportedBoundaryConditions.............................. 47 1.2.11 Conclusions.................................................... 51 1.3 ClampedFiniteTriple-PanelPartitions ................................ 53 1.3.1 Introduction.................................................... 53 1.3.2 DynamicStructuralAcousticFormulation................... 56 1.3.3 ThePrincipleofVirtualWork ................................ 60 1.3.4 DeterminationofModalCoefficients ........................ 60 1.3.5 SoundTransmissionLoss..................................... 63 1.3.6 ModelValidation.............................................. 63 ix
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