Özkaya E.2024-07-222024-07-2220011300686Xhttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20454Linear transverse vibrations of an Euler-Bernoulli beam are considered. The beam carries masses and is simply supported at both ends. The equations of motion are obtained and solved. Linear frequency equations are obtained. Natural frequencies are calculated for different number of masses, mass ratios, and mass locations.EnglishAll Open Access; Gold Open AccessBoundary conditionsDifferential equationsEquations of motionNatural frequenciesRigidityVibrations (mechanical)Simply supported beamsBeams and girdersLinear transverse vibrations of a simply supported beam carrying concentrated massesArticle10.3390/mca6020147