Structural Dynamics and Probabilistic Analyses for Engineers

475 Pages·2008·3.21 MB·English

Structural Dynamics and
Probabilistic Analyses
for Engineers
Thispageintentionallyleftblank
Structural Dynamics and
Probabilistic Analyses
for Engineers
Giora Maymon
AMSTERDAM•BOSTON•HEIDELBERG•LONDON
NEWYORK•OXFORD•PARIS•SANDIEGO
SANFRANCISCO•SINGAPORE•SYDNEY•TOKYO
Butterworth-HeinemannisanimprintofElsevier
Butterworth-HeinemannisanimprintofElsevier
30CorporateDrive,Suite400,Burlington,MA01803,USA
LinacreHouse,JordanHill,OxfordOX28DP,UK
Copyright©2008,ElsevierInc.Allrightsreserved.
Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,or
transmittedinanyformorbyanymeans,electronic,mechanical,photocopying,
recording,orotherwise,withoutthepriorwrittenpermissionofthepublisher.
PermissionsmaybesoughtdirectlyfromElsevier’sScience&TechnologyRights
DepartmentinOxford,UK:phone:[phone],fax:[phone],
E-mail:[email protected]
viatheElsevierhomepage(http://elsevier.com),byselecting“Support&Contact”
then“CopyrightandPermission”andthen“ObtainingPermissions.”
Recognizingtheimportanceofpreservingwhathasbeenwritten,Elsevier
printsitsbooksonacid-freepaperwheneverpossible.
ANSYS®andallotherANSYS,Inc.productnamesaretrademarksorregistered
trademarksofANSYS,Inc.oritssubsidiariesintheUnitedStatesorothercountries.
LibraryofCongressCataloging-in-PublicationData
Applicationsubmitted
BritishLibraryCataloguing-in-PublicationData
AcataloguerecordforthisbookisavailablefromtheBritishLibrary.
ISBN:978-0-7506-8765-2
ForinformationonallButterworth-Heinemannpublications
visitourwebsiteatwww.books.elsevier.com
PrintedintheUnitedStatesofAmerica
08 09 10 11 12 10 9 8 7 6 5 4 3 2 1
Inmemoryofmyfather,whopassedawaybeforethisbookwaspublished.
Thispageintentionallyleftblank
Acknowledgments
IwrotepartofthisbookwhileonSabbaticalfromRAFAELLtd(Israel)atthe
CenterofAerospaceResearchandEducation(CARE)attheUniversityof
CaliforniaatIrvine,underthedirectionofProfessorS.N.Atluri.Thefinancial
supportofRAFAELLtdandthesupportingatmosphereatCAREarewell
appreciated. Another part of the manuscript was completed at home, with
thetremendoussupportofmywife,whodeservesallmygratitude.Iamalso
greatlythankfultoProfessorIsaacElishakoff,ofFloridaAtlanticUniversity,
forhisencouragementandvaluablehelp.
GioraMaymon
Haifa,Israel,2008
vii
Thispageintentionallyleftblank
Contents
ListofFigures xiii
ListofTables xxiii
Foreword xxv
Preface xxvii
CHAPTER
1
SomeBasicsoftheTheoryofVibrations 1
1.1 ASingleDegreeofFreedomSystem 1
1.2 ResponseofaSDOFto(Any)TransientLoad 7
1.3 Multiple-Degrees-of-Freedom(MDOF)System 11
1.4 Infinite-Degrees-of-Freedom(Continuous)System 18
1.5 MountedMass 19
CHAPTER
2
DynamicResponseofBeamsandOtherStructures
toDeterministicExcitation 21
2.1 AGenericExampleofaCantileverBeam 21
2.2 SomeBasicsoftheSlenderBeamTheory 21
2.3 ModalAnalysisofaSlenderCantileverBeam 25
2.4 StressModesofaSlenderCantileverBeam 29
2.5 ResponseofaSlenderBeamtoHarmonicExcitation 35
2.5.1 Responseofbeamstobaseexcitation 37
2.5.2 Responseofacantileverbeamtoharmonictipforce 38
2.5.3 Responseofacantileverbeamtoharmonicbaseexcitation 41
2.5.4 Twoexternalforces 44
ix