Dynamic Finite Element Modelling and Vibration Analysis of Prestressed Layered Bending–Torsion Coupled Beams

Free vibration analysis of prestressed, homogenous, Fiber-Metal Laminated (FML) and composite beams subjected to axial force end moment is revisited. Finite Element Method (FEM) frequency-dependent Dynamic (DFE) models are developed presented. The frequency results compared with those obtained from the conventional FEM (ANSYS, Canonsburg, PA, USA) as well Homogenization (HM). Unlike FEM, application DFE formulation leads a nonlinear eigenvalue problem, which solved determine system’s natural frequencies modes. governing differential equations coupled flexural–torsional vibrations, resulting moment, using Euler–Bernoulli bending St. Venant torsion beam theories assuming linear harmonic motion linearly elastic materials. Illustrative examples prestressed layered, FML, unidirectional configurations, exhibiting geometric bending-torsion coupling, studied. presented show excellent agreement homogenization method ANSYS modeling results, DFE’s rates convergence surpassing all. An investigation also carried out examine effects various combined loads moments on stiffness fundamental structure. illustrative example, demonstrating methods buckling layered