Chebyshev-Ritz Approach to Buckling and Vibration of Curvilinearly Stiffened Plate

loading,increasingfromzerotothebucklingload,onthenaturalfrequenciesisstudied.Severalnumericalexamples are compared with the other results available in the literature and mesh free results, illustrating the accuracy of the present approach. This paper also shows that the in-plane load can lead to a significant change in the natural frequency and also in some cases the corresponding mode shapes of plates with curvilinear stiffeners. Numerical results are presented for a range of plate aspect ratios, bending the stiffness ratios of the stiffener to that of the plate andthearearatiosofthestiffenertothatoftheplate.Theeffectoftheseparametersonthenaturalfrequenciesofthe plate with a different number of curvilinear stiffeners under in-plane loads is studied. For studying the influence of thein-planeloadonnaturalfrequency,bothaxial/biaxialandshearin-planeloadsareconsidered.Numericalresults show that the vibration behavior of the stiffened plate in the presence of in-plane loads is influenced by different parameters, such as the plate aspect ratio, the stiffener area ratio, the stiffener stiffness ratio, and the number of stiffeners in the panel.