Deflection and bending moments amplitude distribution at the forced oscillations of the Euler-Bernoulli beam

Abstract

The paper considers forced oscillations of a simply supported Euler-Bernoulli beam with inner inelastic resistance. Maximum values of non-dimensional amplitudes of bending moments and deflections which are invariants with respect to dimensional parameters of beam are calculated. For beams with any dimensional parameters calculation of the maximum amplitudes corresponding to the set frequency of forced vibrations, reduces to multiplication by appropriate dimensional factor already calculated invariant dimensionless values. In a specific example, a comparative analysis of accurate amplitude values for dynamic bending moments and deflections is calculated according to the author's method, with the same calculation in the ANSYS program complex. Values of the amplitudes in the vicinity of the resonance frequencies are clarified.