Investigation of the rotary inertia and shear deformation effects on the out-of-plane bending and torsional natural frequencies of laminated beams

摘要: Abstract The out-of-plane free vibration problem of symmetric cross-ply laminated beams is studied by the transfer matrix method. distributed parameter model used for predicting natural frequencies. rotary inertia and shear deformation effects are considered in Timoshenko beam analysis based on first-order theory. For Bernoulli–Euler analysis, these neglected to study first six numerical algorithm available literature compute exact overall dynamic matrix. investigated length/thickness ratios from 3 20, fixed–fixed, fixed–simple fixed–free boundary conditions, two values thickness/width rectangular section (2, 0.5). results obtained theories relative errors between presented graphical form.