Treść książki

Przejdź do opcji czytnikaPrzejdź do nawigacjiPrzejdź do informacjiPrzejdź do stopki
(eigistiffness)iaVeragedinthesubsequentcellsigraduallyandsmoothlychangesiOneof
thefirstpublicationsconcerningtheFGMsisaworkbyThompson(198͹)iwhereasone
oftheclassicalitemsontheFGMsisamonographbySureshandMortensen(1998)i
AnFGMelementispresentedinChapter3ofthepresentmonographi
Thepublicationscitedinthischapterareiofcourseionlyasmallpartofthewhole
literatureconcerningtheelementswithVariablepropertiesiOnlyhistoricalitemshaVe
beenreferredherewhichproVethefactthatthistopichasbeenundertakenformany
yearsandiinspiteofthatiitisstillnotreachingitsendiNewerpublicationsarelistedin
thereferencesattheendofthismonographiAreachlistofitemsconcerningthistopic
wasgatheredandpresentedbyJemielita(2001)inareViewworkibeingapartofthe
eighthVolumeofalreadymentionedseries
MechanikaTechniczna
i
1i2iScopeofthemonograph
InthemonographifourproblemshaVebeenpresentedconcerningmodellingof
abehaViorofplatesandbarswithVariablepropertiesi
ThefirstproblemisamodellingofadynamicstabilityofbarswithlinearlyVariable
dimensionsofacrosssectionwithuseofthefiniteelementmethod(FEM)iThemain
objectiVeofChapter2wastocalculatefirstnaturalfrequenciesandcriticalbuckling
forcesforbarswithcrosssectionVaryingaccordingtofirstithirdandfourthpowerof
thelongitudinalcoordinateofthebariTheVibrationsandbucklingaffecteachotheri
iieitheproblemofadynamicstabilityhasbeenanalyzedthereiNodampinghasbeen
considerediTenVariouscombinationsofbarsupportingwereconsiderediAsacalculation
procedureitheFEMwaschoseniDuetothatishapefunctionsaswellasmatricesof
stiffnessimassandinitialstressweresubmittedforbarfiniteelementswiththecross
sectionVaryingintheaforementionedwayiGraphsenablingdeterminationofthefirst
naturalfrequencyforagiVenlongitudinalcompressingforceaswellasthecritical
bucklingforceforagiVenfrequencyofeXcitedtransVerseVibrationarepresentedi
TheValuesoffrequenciesandcriticalforcesicalculatedaccordingtothepresented
procedureihaVebeencomparedtothebenchmarksolutionsgiVenintheliteraturei
Highconformityofresultsienoughforengineeringcalculationsiisconcludedi
Thematerialcontainedinthischapterhasnotbeenpublishedanywherei
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