Variational formulations of vibration equations of sinusoidal shear deformable beams and Eigenfrequency solutions by finite sine transform method
This study presents analytical solutions using the finite sine transformation methodology (FSTM) for the natural dynamic solutions of thick beams. The Euler-Bernoulli beam theory (EBBT) disregards the contributions of transverse shear strains due to the Euler-Bernoulli- Navier orthogonality hypothesis used in its formu...