A new method of forced vibration problem of deep beams under distributed harmonic load

Abstract

In this paper, the control equation is first set up by using the reciprocal theory method when considering the section rotation of deep beam, shear deformation of adjacent cross section and the transverse stress. Then the control equation of deep beams under three kinds of boundary conditions is established. According to the comparison between the numerical value and finite element simulation value, we can know that the control equation and the deflection equation of the forced vibration of deep beams are correct. This is a new computing method of the forced vibration problem of deep beams under distributed harmonic load.