A　simulation　method　called　modified　differential　transform　is　studied　to　solve　the　free　vibration　problems　of　uniform　Euler-Bernoulli　beam.　First　of　all,　the　modified　differential　transform　method　is　derived.　Secondly,　the　modified　differential　transformation　is　applied　to　uniform　Euler-Bernoulli　beam　free-free　vibration.　And　then　a　set　of　differential　equations　are　established.　Through　algebraic　operations　on　these　equations,　we　can　get　any　natural　frequency　and　normalized　mode　shape.　Thirdly,　the　FEM　is　applied　to　obtain　the　numerical　solutions.　Finally,　mode　experimental　method　(MEM)　is　conducted　to　obtain　experimental　data　for　analysis　by　signal　processing　with　LMS　Test.　lab　Vibration　testing　and　analysis　system.　Experimental　data　and　simulation　results　are　illustrated　to　be　in　comparison　with　the　analytical　solutions.　The　results　show　that　the　modified　differential　transform　method　can　achieve　good　results　in　predicting　the　solution　of　such　problems.