Applied Physics and Mathematics Annotation << Back MODELING OF BEAM OSCILLATIONS WITH EMBEDDED ENDS WITH THE USE OF FRACTIONAL INTEGRO-DIFFERENTIATION S.Sh. REKHVIASHVILI, A.V. PSKHU, A.M. KIDAKOEV A mathematical model of oscillations of a beam embedded on both sides is developed taking into account the eff ect of dynamic hysteresis, which is described by means of fractional integro-diff erentiation. The solution of the basic equation of the model is found analytically. Numerical calculations are carried out and it is shown that the use of the apparatus of fractional integro-differentiation allows one to physically correctly describe the dissipative character of the beam oscillations. Keywords: math modeling; fractional integro-diff erentiation; initial-boundary value problem; beam with two embedded ends. Contacts: - Pp. 51-55.