N.S. Bardell

TL;DR: In this article, a new h -p finite element methodology for studying the free vibration of generally orthotropic coplanar plate assemblies is presented, where the stiffness and mass matrices of a plate element are derived using symbolic computing, and the natural frequencies and the associated normal modes are sought from the resulting matrix-eigenvalue problem.

TL;DR: In this article, a vibration study of thin, laminated plate assemblies is conducted by using the h-p version of the finite element method (FEM), and polynomially-enriched stiffness and mass matrices are derived from classical plate theory using Symbolic Computing, and then stored in algebraic form for a single, generic element.

TL;DR: In this article, the authors used the finite element method to study flexural wave motion in a periodic beam with identical, but non-symmetric, periods, and showed that period asymmetry can have a beneficial effect on the dynamic characteristics of the structure from a vibration control viewpoint and could feasibly be exploited as an additional design variable.

TL;DR: In this paper, it was shown that the geometry of a conical surface actually renders the stiffness coefficients a function of circumferential location; they are not strictly constant, as has previously been assumed.

TL;DR: In this paper, a series of validation exercises for generally orthotropic rectangular plates were conducted, and the efficacy of the h-p methodology was established, and new results were presented for the natural frequencies and modes of a completely free square orthotropic plate.