TRANSVERSE VIBRATION OF THICK RECTANGULAR-PLATES .4. INFLUENCE OF ISOTROPIC INPLANE PRESSURE

Part IV of this series of four papers reports a study of the effects o f isotropic in-plane pressure on the vibration response of thick recta ngular plates. In the theoretical formulation of the governing functio nal, the effects of transverse shear deformation and rotatory inertia have been incorporated using Mindlin's first order shear deformation t heory. Sets of mathematically complete two-dimensional polynomials hav e been used as the admissible displacement and rotation functions in t he Rayleigh-Ritz procedure to derive the governing eigenvalue equation . In this paper, several rectangular plates with different combination s of boundary conditions and various aspect ratios a/b and relative th ickness ratios t/b are considered. Sets of reasonably accurate vibrati on frequencies are presented for these in-plane loaded rectangular pla tes in the form of design charts. The results, where possible, are com pared with established values from the open literature. Some basic dis cussion of the effects of shear deformation and rotatory inertia has b een included based on trends in the numerical results.