Pakdemirli M.Ozkaya E.2024-07-222024-07-2219981300686Xhttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20579The transverse vibrations of a simply supported beam moving with constant velocity is considered. The case of transition from string to beam effects is treated. In this model, the fourth order spatial derivative multiplies a small parameter and hence leads to a boundary layer problem. The problem is solved approximately using the method of multiple scales.EnglishAll Open Access; Gold Open AccessApproximation theoryMathematical modelsProblem solvingVibrations (mechanical)Boundary layer problemMultiple scales methodBeams and girdersArticle10.3390/mca3020093