Extension of the Wittrick-Williams Algorithm for Free Vibration Analysis of Hybrid Dynamic Stiffness Models Connecting Line and Point Nodes

This paper extends the Wittrick-Williams (W-W) algorithm for hybrid dynamic stiffness (DS) models connecting any combinations of line and point nodes. The principal novelties lie in development both DS formulation solution technique a sufficiently systematic general manner. parent structure is considered to be form two dimensional elements with nodes, which can connected rigid/spring supports/connections, rod/beam connections substructures. achieved by proposing direct constrain method strong makes modeling process straightforward. For technique, W-W extended all above models. No matrix inversion needed proposed extension, making numerically stable, especially complex built-up structures. A mathematical proof provided algorithm. are validated FE results computed ANSYS. work significantly application scope methodical reliable manner, providing powerful eigenvalue analysis tool beam-plate