“…Here, analytical or semi analytical vibrational studies are presented in [17,18,19,20,21,22,23,24] for Euler-Bernoulli, Timoshenko and higher order beam theories. Various numerical methods (finite element, meshless methods) have also bee adopted [25,26,27,28,29]. Among these works on beams only [15,20] consider beams with circular cross section, while the rest deal with beams of rectangular cross section.…”