Oz H.R.2024-07-222024-07-2220001300686Xhttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20502In this study, the natural frequencies of an Euler-Bernoulli type beam with a mass are calculated. The beam is supported with different end conditions. The mass is located on different locations. The linear natural frequencies are calculated by using finite element method for the first five modes. Results are compared with those of exact and other approximate methods.EnglishAll Open Access; Gold Open AccessBeams and girdersDegrees of freedom (mechanics)InterpolationKinetic energyMathematical modelsNatural frequenciesPotential energyVibrations (mechanical)Beam mass systemEuler Bernoulli beamFinite element methodCalculation of the natural frequencies of a beam-mass system using finite element methodArticle10.3390/mca5020067