Non-symmetric and chaotic vibrations of Euler-Bernoulli beams under harmonic and noisy excitations

摘要

Inthispaperwestudynon-lineardynamicsofflexibleEuler-Bernoullibeamssubjectedtoharmonicloadandwhitenoise.WereportthatinthecaseofcontinuousmechanicalsystemslikethestudiedEuler-Bernoullibeamstheactionofwhitenoiseyieldesnovelandunexpectedphenomena,i.e.symmetrictransversalloadsandsymmetricboundaryconditionsimplynon-symmetricbeamvibration.Inaddition,regionsofnon-symmetricbeamvibrationsfortwovaluesofwhitenoiseintensityaregivenandthechartsofregularandchaoticvibrationsofthestudiedbeamsarepresented...