Vibration analysis of a beam on a nonlinear elastic foundation

Simple item page
dc.contributor.authorKarahan, MMF
dc.contributor.authorPakdemirli, M
dc.date.accessioned2024-07-18T11:39:48Z
dc.date.available2024-07-18T11:39:48Z
dc.description.abstractNonlinear vibrations of an Euler-Bernoulli beam resting on a nonlinear elastic foundation are discussed. In search of approximate analytical solutions, the classical multiple scales (MS) and the multiple scales Lindstedt Poincare (MSLP) methods are used. The case of primary resonance is investigated. Amplitude and phase modulation equations are obtained. Steady state solutions are considered. Frequency response curves obtained by both methods are contrasted with each other with respect to the effect of various physical parameters. For weakly nonlinear systems, MS and MSLP solutions are in good agreement. For strong hardening nonlinearities, MSLP solutions exhibit the usual jump phenomena whereas MS solutions are not reliable producing backward curves which are unphysical.
dc.identifier.issn1225-4568
dc.identifier.other1598-6217
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/1917
dc.language.isoEnglish
dc.publisherTECHNO-PRESS
dc.subjectGENERAL-SOLUTION PROCEDURE
dc.subject3-TO-ONE INTERNAL RESONANCES
dc.subjectINTERMEDIATE SPRING SUPPORT
dc.subjectLINDSTEDT-POINCARE METHOD
dc.subjectHARMONIC-BALANCE APPROACH
dc.subjectAXIALLY MOVING BEAM
dc.subjectCUBIC NONLINEARITIES
dc.subjectBOUNDARY-CONDITIONS
dc.subjectCONTINUOUS SYSTEMS
dc.subjectMULTIPLE SCALES
dc.titleVibration analysis of a beam on a nonlinear elastic foundation
dc.typeArticle

Files

Collections

Web of Science Koleksiyonu