The existence of ®exural waves con­ ned to the free edge of a ®uid-loaded plate is established theoretically. Whereas analogous in vacuo edge waves exist for all parameter values, submerged plates are shown herein to support such waves only under very light ®uid-loading conditions. For example, thin plates of aluminium, brass or Plexiglas will not support edge waves in water, although edge wave...

A new quasi-three-dimensional (3D) shear deformation theory, called the spectral displacement formulation (SDF), is proposed for high-precision static bending analyses of functionally graded plates. The main idea to expand unknown fields into Chebyshev series a unique form in thickness direction; truncation numbers are set be adjustable meet various application requirements. Specifically, 3D el...

This paper deals with frequency analysis of annular plates having a small core and guided edges at both inner and outer boundaries. Using classical plate theory the governing differential equation of motion for the annular plate having a small core is derived and solved for the case of plate being guided at inner and outer edge boundaries. The fundamental frequencies for the first six modes of ...

In this paper, a size-dependent formulation for the Bernoulli-Euler beam is developed based on a new model of couple stress theory presented by Hadjesfandiari and Dargush. The constitutive equation obtained in this new model, consists of only one length scale parameter that is capable of capturing the micro-structural size effect in predicting the mechanical behavior of the structure. Having on...

Abstract The stability behaviour of unsymmetrical laminated structures made fibre-reinforced plastics is significantly influenced by bending–extension coupling and the comparatively low transverse shear stiffnesses. aim this work to improve analytical analysis unsymmetrically structures. With discrete plate theory, can be reduced single plates. structure divided into individual segments, surrou...

Composite micro plates with periodic microstructure at very small length scale have been a focus of intensive research. When the descends below millimetre level, size effects may emerge. To account for effect on elastic wave band gap microscopic composite plates, we propose numerical framework based modified couple stress theory elasto-dynamics associated non-classical 3-node triangular (T3) Mi...