Improved free flexural vibration analysis of stiffened plates

摘要

This article develops a generalised algorithm for the solution of quadratic matrix equations associated with transverse vibration analysis of stiffened plates. A nodeless Dynamic line Element is used as the stiffener model and is derived from theplate shape functions. This formulation leads to frequency dependent stiffness and inertia matrices. Results show the economy improvement for a given accuracy using Dynamic element discretisation. Such a formulation provides economical analysis of natural frequencies and associated modes of a broad class of plate vibration problems.