APPROXIMATE SOLUTION OF FORCED OSCILLATIONS OF AN INHOMOGENEOUS BEAM UNDER VIBRATION LOAD

B.H.Aliyev1, T.S.Suleymanov2

West Caspian University1 Azerbaijan State Oil and Industry University

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Abstract. The article takes an approximate solution of the forced vibrations of a nonhomogeneous beam under the vibration load. It is well known that in the production of technical plates, due to the technological process and a number of other reasons, the mechanical properties depend largely on the spatial coordinates of the body points. The partial differential equation is compiled for a particular beam with a fixed cross section, then this equation is solved by an approximate method. Finally there is a relationship between forced and natural frequencies.

Keywords: Forced vibrations, homogeneous beam, vibration load, elastic modulus, forced frequency, natural frequency, Bubnov-Galerkin method.