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Liming Dai · Reza N. Jazar Editors Nonlinear Approaches in Engineering Applications Energy, Vibrations, and Modern Applications Nonlinear Approaches in Engineering Applications Liming Dai (cid:129) Reza N. Jazar Editors Nonlinear Approaches in Engineering Applications Energy, Vibrations, and Modern Applications Editors LimingDai RezaN.Jazar XiamenUniversityofTechnology XiamenUniversityofTechnology Xiamen,China Xiamen,China IndustrialSystemsEngineering SchoolofEngineeringRMITUniversity UniversityofRegina Melbourne,VIC,Australia Regina,SK,Canada ISBN978-3-319-69479-5 ISBN978-3-319-69480-1 (eBook) https://doi.org/10.1007/978-3-319-69480-1 LibraryofCongressControlNumber:2018930145 ©SpringerInternationalPublishingAG2018 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartof the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilarmethodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexempt fromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. Thepublisher,theauthorsandtheeditorsaresafetoassumethattheadviceandinformationinthis book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained hereinor for anyerrors oromissionsthat may havebeenmade. Thepublisher remainsneutralwith regardtojurisdictionalclaimsinpublishedmapsandinstitutionalaffiliations. Printedonacid-freepaper ThisSpringerimprintispublishedbySpringerNature TheregisteredcompanyisSpringerInternationalPublishingAG Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland Dedicated to Xinming and Mojgan. The one who knows where to go cannot be stopped. Preface Thisbookisbasedonthesameconceptusedinthepreviousvolumesoftheseries Nonlinear Approaches in Engineering Applications, organized by the editors. Nonlinearanalysisandapproacheshavebeendevelopedalongsidethedevelopment andmodellingofnaturaldynamicphenomena.Althoughthemainapproachesinthe analysis of dynamic phenomena are still linear approaches, depending on the required level of accuracy, linear analyses reach their limits, and nonlinear approaches become necessary. The beauty of nonlinearity is that every single system will be treated as a unique system such that a general solution and classi- fication cannotbefound. Everynonlinearsystemneedsitsownuniquemethodof modellingandanalysis. Consideringthatmodellingofnonlinearsystemsisasimportantasdevelopment of solution methods, we selected topics to cover both, modelling and solution methods. The book is divided into four sections; Section 1, Energy Applications; Section 2, Vibrationsand Automotive Applications; Section 3, Modern Engineer- ing Applications; and Section 4, Analytical-Numerical Analysis Applications. Every sectionincludesa fewselectedtopics which are very interestingtoinvesti- gators and researchers working in the area of nonlinear approaches in dynamic systemanalysis. Level of the Book Thisbookisaimedatengineers,scientists,researchersandengineeringandphysics graduate students, together with the interested individuals in engineering, physics and mathematics. The book focuses on the application of nonlinear approaches representingawidespectrumofdisciplinesofengineeringandscience.Throughout the book, great emphasis is placed on engineering applications, the physical meaning of the nonlinear systems and methodologies of the approaches in analysing and solving for the systems. Topics that have been selected are of high vii viii Preface interest in engineering and physics. An attempt has been made to expose the engineers and researchers to a broad range of practical topics and approaches. The topics contained in the present book are of specific interest to engineers who are seeking expertise in vehicle- and automotive-related technologies as well as enginesandalternativefuels,mathematicalmodellingofcomplexsystems,biome- chanical engineering approaches to robotics and artificial muscles, nonclassical engineeringproblemsandmodernmathematicaltreatmentsofnonlinearequations. The primary audience for this book are; researchers, graduate students and engineers in mechanical engineering, engineering mechanics, electrical engineer- ing,civilengineering,aerospaceengineering,mathematicsandsciencedisciplines. Inparticular,thebookcanbeusedfortraininggraduatestudentsaswellassenior undergraduate students to enhance their knowledge by taking a graduate or advanced undergraduate course in the areas of nonlinear science, dynamics and vibration of discreet and continuous system, structure dynamics and engineering applications of nonlinear science. It can also be utilized as a guide to readers’ fulfilmentinpractices.Thecoveredtopicsarealsoofinteresttoengineerswhoare seekingtoexpandtheirexpertiseintheseareas. Organization of the Book Themain structure ofthebookconsistsof4parts, energyapplications, vibrations and automotive applications, modern engineering applications and analytical- numerical analysis applications, including 15 chapters. Each chapter covers an independent topic along the line of nonlinear approach and engineering applica- tionsofnonlinearscience.Themainconceptsinnonlinearscienceandengineering applicationsareexplainedfullywithnecessaryderivativesindetail.Thebookand eachofthechaptersareintendedtobeorganizedasessentiallyself-contained.All necessary concepts, proofs, mathematical background, solutions, methodologies and references are supplied except for some fundamental knowledge well known inthegeneralfieldsofengineeringandphysics.Thereadersmaythereforegainthe main concepts of each chapter with as less as possible the need to refer to the conceptsoftheotherchaptersandreferences.Readersmayhencestarttoreadone ormorechaptersofthebookfortheirowninterests. Method of Presentation The scope of each chapter is clearly outlined, and the governing equations are derived with an adequate explanation of the procedures. The covered topics are logicallyandcompletelypresentedwithoutunnecessaryoveremphasis.Thetopics arepresentedinabookformratherthaninthestyleofahandbook.Tables,charts, equations and references are used in abundance. Proofs and derivations are Preface ix emphasized in such a way that they can be straightforwardly followed by the readerswithfundamentalknowledgeofengineeringscienceanduniversityphysics. Thephysicalmodelandfinalresultsprovidedinthechaptersareaccompaniedwith necessary illustrations and interpretations. Specific information that is required in carrying out the detailed theoretical concepts and modelling processes has been stressed. Prerequisites The readers should be familiar with the fundamentals of dynamics, calculus and differentialequationsassociatedwithdynamicsinengineeringandphysics,aswell ashaveabasicknowledgeoflinearalgebraandnumericalmethods.Thepresented topics are given in a way to establish as conceptual framework that enables the readers to pursue further advances in the field. Although the governing equations and modelling methodologies will be derived with adequate explanations of the procedures,itisassumedthatthereadershaveaworkingknowledgeofdynamics, universitymathematicsandphysicstogetherwiththeoryoflinearelasticity. Acknowledgements Thisbookismadeavailableunderthecloseandeffectivecollaborationsofallthe enthusiasticchaptercontributorswhohavetheexpertiseandexperienceinvarious disciplinesofnonlinearscienceandengineeringapplications.Theydeservesincere gratitude for the motivation in creating such book, encouragement in completing thebook,scientificandprofessionalattitudeinconstructingeachofthechaptersof the book and the continuous efforts toward improving the quality of the book. Without the collaboration and consistent efforts of the chapter contributors, the completionofthisbookwouldhavebeenimpossible.Whatwehaveattheendisa bookthatwehaveeveryreasontobeproudof. IthasbeengratifyingtoworkwiththestaffofSpingerthroughthedevelopment ofthisbook.Theassistanceprovidedbythestaffmembershasbeenvaluableand efficient.WethankSpingerfortheirproductionofanelegantbook. ThisbookhasbeensupportedbytheNationalHigh-EndForeignExpertsProject (GDT20163600003),RepublicofChina. Regina,SK,Canada LimingDai Melbourne,VIC,Australia RezaN.Jazar Contents PartI EnergyApplications 1 NonlinearBehaviourDiagnosisforHorizontal-AxisWind TurbineBladesSubjectedtoInconstantWindExcitations. . . . . 3 DandanXia,LimingDai,ChangpingChen,andPanFang 2 ConcentratedSolarPowerPlantsCapacityFactors: AReview. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 AlbertBoretti 3 DiagnosisofNonlinearStochasticDynamicsofActive SliderinNanometerSpacing. . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 Y.F.Wang,Y.Lu,andG.Chen 4 FormationControlofNonholonomicMobileRobots UsinganAcousticSensor. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 MichaelHegedus,MehranMehrandezh,andRamanParanjape 5 NonlinearSize-DependentInstabilityofHybridFGM Nanoshells. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 S.SahmaniandM.M.Aghdam PartII VibrationsandAutomotiveApplications 6 VibrationAnalysisofOscillatorswithGeneralized InertialandGeometricalNonlinearities. . . . . . . . . . . . . . . . . . . 147 D.Younesian,E.Esmailzadeh,andH.Askari 7 QuarterCarSuspensionModelwithProvisionforLoss ofContactwiththeRoad. . . . . . . .. . . . . . . .. . . . . . . .. . . . . . . 167 AliKhazaie,NajiullahHussaini,HormozMarzbani, andRezaN.Jazar xi xii Contents 8 FrictionCoefficientofPneumaticTiresandBitumenRoads. . . . 209 JenelleC.Hartman,HormozMarzbani,FirozAlam,M.Fard, andRezaN.Jazar 9 SolutionsforPathPlanningUsingSplineParameterization. . . . 277 M.Elbanhawi,M.Simic,andRezaN.Jazar PartIII ModernEngineeringApplications 10 AnExactSolutionTechniqueforImpactOscillators. . . . . . . . . 309 A.Banerjee,R.Das,andE.P.Calius 11 ASemi-analyticalSolutionforBendingofNonlinear MagnetostrictiveBeams. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 333 S.A.SheikholeslamiandM.M.Aghdam 12 LimitedDataModellingApproachesforEngineering Applications. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 345 HamidKhayyam,GelayolGolkarnarenji,andRezaN.Jazar 13 TheoreticalandNumericalInvestigationofthe Elastic-PlasticBehaviorofThick-WalledCylinders. . . . . . . . . . 381 MonirTakla 14 AComplexVariableMethodtoPredictan AerodynamicsofArbitraryShapeBallisticProjectiles. . . . . . . . 403 SayavurI.Bakhtiyarov,JimmieC.Oxley,JamesL.Smith, andPhilippM.Baldovi 15 ExtensionofSubstructuringTechniqueinthe NonlinearDomain. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 425 MladenkoKajtaz Index. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 449

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