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Machine component analysis with MATLAB PDF

234 Pages·2019·4.037 MB·English
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Machine Component Analysis with MATLAB Dan B. Marghitu and Mihai Dupac MACHINE COMPONENT ANALYSIS WITH ® MATLAB This page intentionally left blank MACHINE COMPONENT ANALYSIS WITH ® MATLAB DANB.MARGHITU MIHAIDUPAC Butterworth-HeinemannisanimprintofElsevier TheBoulevard,LangfordLane,Kidlington,OxfordOX51GB,UnitedKingdom 50HampshireStreet,5thFloor,Cambridge,MA02139,UnitedStates Copyright©2019ElsevierInc.Allrightsreserved. Nopartofthispublicationmaybereproducedortransmittedinanyformorbyanymeans, electronicormechanical,includingphotocopying,recording,oranyinformationstorageand retrievalsystem,withoutpermissioninwritingfromthepublisher.Detailsonhowtoseek permission,furtherinformationaboutthePublisher’spermissionspoliciesandourarrangements withorganizationssuchastheCopyrightClearanceCenterandtheCopyrightLicensingAgency, canbefoundatourwebsite:www.elsevier.com/permissions. Thisbookandtheindividualcontributionscontainedinitareprotectedundercopyrightbythe Publisher(otherthanasmaybenotedherein). Notices Knowledgeandbestpracticeinthisfieldareconstantlychanging.Asnewresearchandexperience broadenourunderstanding,changesinresearchmethods,professionalpractices,ormedical treatmentmaybecomenecessary. Practitionersandresearchersmustalwaysrelyontheirownexperienceandknowledgeinevaluating andusinganyinformation,methods,compounds,orexperimentsdescribedherein.Inusingsuch informationormethodstheyshouldbemindfuloftheirownsafetyandthesafetyofothers, includingpartiesforwhomtheyhaveaprofessionalresponsibility. Tothefullestextentofthelaw,neitherthePublishernortheauthors,contributors,oreditors, assumeanyliabilityforanyinjuryand/ordamagetopersonsorpropertyasamatterofproducts liability,negligenceorotherwise,orfromanyuseoroperationofanymethods,products, instructions,orideascontainedinthematerialherein. LibraryofCongressCataloging-in-PublicationData AcatalogrecordforthisbookisavailablefromtheLibraryofCongress BritishLibraryCataloguing-in-PublicationData AcataloguerecordforthisbookisavailablefromtheBritishLibrary ISBN:978-0-12-804229-8 ForinformationonallButterworth-Heinemannpublications visitourwebsiteathttps://www.elsevier.com/books-and-journals Publisher:MatthewDeans AcquisitionEditor:BrianGuerin EditorialProjectManager:IsabellaC.Silva ProductionProjectManager:NirmalaArumugam Designer:MarkRogers TypesetbyVTeX Contents Preface vii 1. Stressanddeflection 1 1.1. Stresscomponents 1 1.2. Deflection 17 1.3. Examples 21 References 65 2. Fatiguefailure 69 2.1. Endurancelimit 69 2.2. Fluctuatingstresses 73 2.3. Theconstantlifefatiguediagram 74 2.4. Thefatiguelifeandarbitrarilyvaryingforces 75 2.5. Variableloadingfailuretheories 76 2.6. Examples 79 References 99 3. Screws 103 3.1. Introduction 103 3.2. Powertransmissionscrews 105 3.3. Threadedfasteners 110 3.4. Examples 118 References 139 4. Rollingbearings 141 4.1. Introduction 141 4.2. Forceanalysis 144 4.3. Cataloguebearingdimensions 144 4.4. Catalogueselectionforbearings 146 4.5. Examples 149 References 164 5. Lubricationandslidingbearings 167 5.1. Introduction 167 5.2. Petroff’slaw 170 5.3. Reynoldsequation 172 5.4. Designofhydrodynamicbearings 175 5.5. Examples 181 References 189 v vi Contents 6. Spurgears 191 6.1. Introduction 191 6.2. Gearforces 203 6.3. Geardesign 218 References 221 Index 223 Preface This book is intended as a supplement for courses in machine compo- nent design and as a reference for mechanical engineers. The book uses MATLAB® as a tool to analyze and solve machine component problems. Thesolutionsoftheproblemsareobtainedanalyticallyandnumerically using MATLAB. Many figures are generated with MATLAB programs. Specificfunctionsdealingwithmachinecomponentsarecreated.Thebook will assist the undergraduate and advanced undergraduate students inter- ested in machine element analysis. The project can be used for classroom instruction and it can be used for a self-study and can also be offered as distance learning. The chapters of the book are: stress and deflection, fatigue failure, screws, rolling bearings, lubrication and sliding bearings, and spur gears. Dan B. Marghitu and Mihai Dupac vii This page intentionally left blank CHAPTERONE Stress and deflection 1.1. Stresscomponents In the design process, the uniform distribution of stresses is usually considered,thatis,theresultsofforcesandmomentsappliedtoanelement represent pure shear or pure tension. If a force F (tension) acts at the ends of a straight bar its line of action incorporates the centroid of the section. If one piece is cut and removed from the bar (made of a homogeneous material), one can replace its effect through a force F =σA uniformly distributed at the cut. The normal stress σ can then be expressed as F σ = , (1.1) A whereAisthebarcross-sectionalarea.Foranelementinsheartheuniform shear stress distribution is F τ = . (1.2) A Stress elements represent a convenient way to show stresses acting at some pointofabody.Athree-dimensionalCartesianstresselementwiththenor- malstressesσ ,σ ,andσ ,andtheshearstressesτ ,τ ,τ ,τ ,τ ,andτ , x y z xz zx xy yx yz zy is shown in Fig. 1.1A. For the shear stresses, using the static equilibrium, results in τ =τ , τ =τ , τ =τ . (1.3) xz zx yx xy zy yz If the stresses σ , σ , and σ – called either tensile stresses or tension – are x y z oriented as shown in Fig. 1.1A, the stresses are considered positive. The subscriptsusedinthedefinitionofthenormalstressesrepresentthenormal direction to the surface. The shear stresses acting in the positive direction of the reference axis are considered positive. The first and second subscripts of the shear stress denote the axes to which it is perpendicular (and subsequently the face on which the stress acts) and respectivelyparallel. ForthestresselementshowninFig.1.1B,whereonlythexandyfaces are subject to stresses, σ =0 and τ =τ =τ =τ =0, and σ and σ z yz zy xz zx x y MachinecomponentanalysiswithMATLAB® Copyright©2019ElsevierInc. 1 https://doi.org/10.1016/B978-0-12-804229-8.00006-2 Allrightsreserved.

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