A new set of design equations has been developed by complementing the results of the parametric study with the fundamentals of plate buckling theory.
Subduction is thought to be the fundamental process for plate tectonics initiation because the slab pull of subducting slab contributes most to the forces that drive plate movements.
Alfred Wegener's fundamental theory of plate tectonics drew scorn until the 1950s — two decades after he died.
Modal analysis was performed to find the fundamental frequencies of plate.
This study focuses mainly on the influence of variations in the elastic restraint parameters on the fundamental frequencies of plate vibration.
The effect of various parameters like thickness ratio, aspect ratio, modulus ratio and temperature on fundamental frequency of plate is investigated through several examples.
As a corollary, the optimization problem (the "best" position of the point mass or point support, which optimizes the plate fundamental frequency) is considered and certain geometrical inequalities, which reduce the optimization domain, are proved.
This paper brings together this research and shows that the fundamental behaviour of plated structures can be described in generic terms for all forms of plating, which will eventually enable generic design rules to be developed for all types of adhesive plating.
The method is further extended to the study of optimal location and stiffness of discrete elastic supports for maximizing the fundamental frequency of plates.
The design rules are developed from an extensive analysis of the fundamental behaviour of plates simply supported on three sides with the remaining (longitudinal) edge stiffened with an edge stiffener.
