Spectral dynamic stiffness theory for free vibration analysis of plate structures stiffened by beams with arbitrary cross-sections

A spectral dynamic stiffness (SDS) model for plate assemblies stiffened by beams is proposed. The theory sufficiently general where the can be subjected to any arbitrary boundary conditions (BCs), but importantly, beam stiffeners of open or closed cross-sections, and maybe connected plates with without eccentricity. First, using modified Fourier series, SDS formulations different are developed based on their equations motion most case. Then, stiffeners’ matrices superposed directly onto those assemblies. Next, reliable, efficient robust Wittrick-Williams algorithm applied modal analysis overall structure. Representative examples provided illustrate accuracy versatility method, proposed extensively validated software ANSYS. method inherits all advantages previously structures, including high computational efficiency, accuracy, robustness in eigenvalue calculation modelling BCs. extends existing substantially cover a wide class structures used train bodies, ship hulls, aircraft fuselage wings many others.