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THE SCIENCE AND APPLICATIONS OF ACOUSTICS THE SCIENCE AND APPLICATIONS OF ACOUSTICS SECOND EDITION Daniel R. Raichel CUNY Graduate Center and School of Architecture, Urban Design and Landscape Design The City College of the City University of New York With253Illustrations DanielR.Raichel 2727MooreLane FortCollins,CO80526 USA [email protected] LibraryofCongressControlNumber:2005928848 ISBN-10:0-387-26062-5 eISBN:0-387-30089-9 Printedonacid-freepaper. ISBN-13:978-0387-26062-4 (cid:2)C 2006SpringerScience+BusinessMedia,Inc. Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewritten permissionofthepublisher(SpringerScience+BusinessMedia,Inc.,233SpringStreet,NewYork, NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Use in connection with any form of information storage and retrieval, electronic adaptation, computer software,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden. Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,evenifthey arenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyare subjecttoproprietaryrights. PrintedintheUnitedStatesofAmerica. (TB/MVY) 9 8 7 6 5 4 3 2 1 springeronline.com To Geri, Adam, Dina, and Madison Rose Preface The science of acoustics deals with the creation of sound, sound transmission through solids, and the effects of sound on both inert and living materials. As a mechanicaleffect,soundisessentiallythepassageofpressurefluctuationsthrough matterastheresultofvibrationalforcesactingonthatmedium.Soundpossesses the attributes of wave phenomena, as do light and radio signals. But unlike its electromagnetic counterparts, sound cannot travel through a vacuum. In Sylva Sylvarumwrittenintheearlyseventeenthcentury,SirFrancisBacondeemedsound tobe“oneofthesubtlestpiecesofnature,”buthecomplained,“thenatureofsound ingeneralhathbeensuperficiallyobserved.”Hisaccusationofsuperficialityfrom the perspective of the modern viewpoint was justified for his time, not only for acoustics,butalsofornearlyallbranchesofphysicalscience.FrederickV.Hunt (1905–1967),oneofAmerica’sgreatestacousticalpioneers,pointedoutthat“the seedsofanalyticalself-consciousnesswerealreadythere,however,andBacon’s libelagainstacousticswaseventuallydischargedthroughthefloweringofaclearer comprehensionofthephysicalnatureofsound.” ModernacousticsisvastlydifferentfromthefieldthatexistedinBacon’stime and even 20 years ago. It has grown to encompass the realm of ultrasonics and infrasonicsinadditiontotheaudiorange,astheresultofapplicationsinmateri- alsscience,medicine,dentistry,oceanology,marinenavigation,communications, petroleumandmineralprospecting,industrialprocesses,musicandvoicesynthe- sis,animalbioacoustics,andnoisecancellation.Improvementsarestillbeingmade intheolderdomainsofmusicandvoicereproduction,audiometry,psychoacous- tics,speechanalysis,andenvironmentalnoisecontrol. Thistext—aimedatscienceandengineeringmajorsincollegesanduniversities, principallyundergraduatesinthelastyearortwooftheirprogramsandgraduation students,aswellaspractitionersinthefield—waswrittenwiththeassumptionthat theusersofthistextaresufficientlyversedinmathematicsuptoandincludingthe levelofdifferentialandpartialdifferentialequations,andthattheyhavetakenthe sequenceofundergraduatephysicscoursesthatsatisfyengineeringaccreditation criteria.Itismyhopethatadegreeofmathematicalelegancehasbeensustained here, even with the emphasis on engineering and scientific applications. While the use of SI units is stressed, very occasional references are made to physical vii viii Preface parameters expressed in English (or Imperial) units. It is strenuously urged that laboratory experience be included in the course (or courses) in which this text isbeingused.Thestudentofacousticswillthusobtainafarkeenerappreciation of the topics covered in “recitation” classes when he or she gains “hand on” experience in the use of sound—level meters, signal generators, frequency analyzers,andothermeasurementtools. Many of the later chapters in the text are self-contained in the sense that an instructormayskipcertainsegmentsinordertoconcentrateontheagendamost appropriatetotheclass.However,masteryofthematerialsintheearlierchapters, namely,Chapters1–6,isobviouslyrequisitetounderstandingofthelaterchapters. Chapters such as those dealing with musical instruments or underwater sound propagationorthelegalaspectsofenvironmentalnoisecanbeskippedinorderto accommodateacademicschedulesortoallowconcentrationoncertaintopicsof greaterinteresttotheinstructor(and,hopefully,hisorherclass)suchasultrasound, architectural acoustics, or other topics. Problems of different levels of difficulty areincludedattheendofnearlyallofthechapters.Manyoftheproblemsentail the theoretical aspects of acoustics, but a number of “practical” questions have alsobeenincluded. As an author, I hope that I have successfully met the challenge of providing a modern, fairly comprehensive text in the field for the benefit of both students and practitioners, whether they are scientists or engineers. In using parts of this bookinprepublicationeditionsinteachingacousticsclasses,Ihavebenefitedfrom feedbackandsuggestionsfrommystudents.Anumberofthemhaveproventobe quiteeagle-eyed,astheyhavesuppliedacontinuousstreamofrecommendations andcorrections,evenafterthepublicationofthefirstedition.Itisimpossibleto acknowledge them all, but Gregory Miller and Jose´ Sinabaldi come to mind as being among the most assiduous. A number of my colleagues and friends have gonethroughthechaptersofthefirstedition.Therealgenesisofthefirstedition occurredwhenHarryHimmelblausawtheprepublicationcopywhenIwasasum- mervisitingprofessoratCaltech’sJetPropulsionLaboratory,andheurgedmeto considerpublication.InparticularImustacknowledgePaulArveson,nowretired fromtheNavalSurfaceWarfareCenter,CarderockofBethesda,Maryland,who went through the first three chapters with a fine-toothed comb, M. G. Prasad of StevensInstituteofTechnologywhomadeanumberofextremelyvaluablesug- gestionsforChapter9ininstrumentation,andEdithCorlisswhogreatlyencourage me on Chapter 10 dealing with the mechanism of hearing. Dr. Zouhair Lazreq, whodidhispostdoctorateundermytutelage,alsolookedoversomeofthechap- ters,MartinAlexanderhasbeenhelpfulinobtainingillustrationsforChapter9in botheditionsfromBru¨elandKjær;Dr.VolkerIrmerofGermany’sFederalEnvi- ronmentalAgencyintroducedmetotheEuropeanUnion’snoiseregulationsand otherinternationalcodes,andArmandLernerarrangedtohavematerialsforwarded from Eckel Corporation of Cambridge, Massachusetts. James E. West, formerly ofLucentBellLaboratories(andnowattheJohnsHopkinsUniversity)andpast president (1998–1999) of the Acoustical Society of America, was instrumental Preface ix in providing photographs of the anechoic chamber. I am also indebted to Caleb CochranoftheBostonSymphonyOrchestra,SteveLoweoftheSeattleSymphony Orchestra,ElizabethCanadaoftheKennedyCenter,SandiBrownoftheMinnesota OrchestralAssociation,RachelleB.RoeoftheLosAngelesPhilharmonic,Thomas D.RossingofNorthernIllinoisUniversity,AnnC.PerlmanoftheAmericanInsti- tuteofPhysics,KarenWeltyofAbbottLaboratories,TomRadlerofHohner,Inc., andothers,toomanytolisthere,fortheirhelpinprovidingphotographs,certain figures,and/orpermissiontoreproducethefigures. I regarded the preparation of this second edition as a splendid opportunity to update The Science and Applications of Acoustics. A number of features have been added to this new edition. Besides the obvious updating of information on acoustic research and applications throughout the text, a section on prosthetic hearing devices was added to Chapter 10; and the original Chapter 17 was split into two chapters, one covering music and music instrumentation and the other dealing with audio processors and sound reproduction. The topic of ultrasound hasalsobeenexpandedtotheextentthattwochaptersbecamenecessary,withthe latter chapter treating the increasingly important topic of medical and industrial applications.AnintroductiontononlinearacousticsisprovidedinChapter21. Ialsomusttakethisopportunitytothankmanyofmyfellowacousticiansfor their comments and suggestions for the second edition. It is hoped that all of the errors in the first edition has been weeded out and there are precious few, if any, in this volume. Suggestions for improving the text have come from M. G. Prasad, Stevens Institute of Technology; Yves Berthelot, Georgia Institute of Technology;MarkHamilton,UniversityofTexasatAustin;NevilleH.Fletcher, Australian National University; Uwe Hansen, Indiana State; Frank J. Fahy, UniversityofSouthhampton;CarleenM.Hutchins,ViolinFamilyAssociation;and others. Springer-Verlag’s Dr. Hans Koelsch and Ronald Johnson served ably as the editorandacquisitionseditor,respectively.KomilaBhatsupervisedtheeditingpro- cessandNatachaMenarprovedtobeinstrumentalinexpeditingthispublication; theircontributionsurelyhelpedtoimprovethissecondedition.Itwasapleasure toworkwiththem.IamstillgratefulforthepastcontributionsofDr.Thomasvon FoersterandStevenPisano,whobothworkedwithmeatSpringer-Verlagonthe firstedition.Dr.RobertBeyer,theeditorofthisAIPseriesdealingwithacoustics, provided a great deal of encouragement and inspiration. He has my unbounded admiration(andthatofvirtuallyeveryacoustician)fortherangeofhisknowledge andextraordinarywisdom.Ideemitarareprivilegetoknowsuchaperson. In the preparation of the second edition, my chief source of inspiration and supportcontinuestocomefrommywife,Geri.Mypastandpresentworkswere stimulatedbytheradianceofherpresence. DanielR.Raichel FortCollins,Colorado x Preface References Bacon,SirFrancis(LordVeralum).1616(publishedposthumously).SylvaSylvarum.In TheWorksofSirFrancisBacon,vol.2.1957.Spedding,Ellis,R.L.,Heath,D.D.,etal. (eds.).London:LongmanandCo.1957. Hunt,FrederickVinton.1992.OriginsinAcoustics.Woodbury,NY:AcousticalSocietyof America. Contents Preface vii 1. ACapsuleHistoryofAcoustics 1 2. FundamentalsofAcoustics 13 3. SoundWavePropagationandCharacteristics 31 4. VibratingStrings 71 5. VibratingBars 89 6. MembraneandPlates 111 7. Pipes,Waveguides,andResonators 131 8. AcousticAnalogs,Ducts,andFilters 151 9. Sound-MeasuringInstrumentation 173 10. PhysiologyofHearingandPsychoacoustics 213 11. AcousticsofEnclosedSpaces:ArchitecturalAcoustics 243 12. Walls,Enclosures,andBarriers 281 13. CriteriaandRegulationsforNoiseControl 319 14. MachineryNoiseControl 357 15. UnderwaterAcoustics 409 xi xii Contents 16. Ultrasonics 443 17. CommercialandMedicalUltrasoundApplications 479 18. MusicandMusicalInstruments 509 19. SoundReproduction 569 20. VibrationandVibrationControl 585 21. NonlinearAcoustics 617 AppendixA. PhysicalPropertiesofMatter 629 AppendixB. BesselFunctions 633 AppendixC. UsingLaplaceTransformstoSolveDifferential Equations 637 Index 649

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THE SCIENCE AND APPLICATIONS OF ACOUSTICS SECOND EDITION Daniel R. Raichel CUNY Graduate Center and School of Architecture, Urban Design and Landscape Design
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