Abstract

In present paper the effects of variations of material properties, geometric properties on fundamental natural frequency and flexural rigidity of clamped supported rectangular thin isotropic plate and the analysis of variations of normal stresses and compressive stresses for finding buckling and flexural vibration by varying aspect ratios for two stress function approach using MATLAB codes is investigated. Coefficients of fundamental natural frequency (f), coefficients of fundamental natural frequency (f1), fundamental natural frequency and flexural rigidity (D) data are generated on varying plate aspect ratio and plate thickness ratio. In the results thus obtained, it is seen that the in-plane solutions are quite similar in terms of x direction normal stresses. They direction normal stresses show the wide variations among the various methods. It is noticed that fundamental natural frequency and flexural rigidity both decrease on increase of plate thickness ratio whereas fundamental natural frequency decrease for increase of plate aspect ratio and flexural rigidity increase on increase of plate aspect ratio. This investigation gives the parameters to be considered for design of plate for various applications. Scope of this study is in design of such plates applicable for aerospace engineering as well as ground engineering applications.

Keywords

fundamental frequency, aspect ratio, geometric properties, flexural rigidity, normal stress, compressive stress