Nowadays, different industries are using sheets, Plates, and shells as important parts of their components. Because of their small thickness compare to other dimensions, their structural safety requires more attention. Therefore, increasing their strength and intensifying their resistance against any kind of failure type could be introduced as an important problem for enhancing the structural safety. Buckling is one of the most significant failure type that should be considered in the stability of any parts such as sheet metals. Thus, investigation of the buckling capacity of the sheet metals is remarkable. On the other hand, the existence of discontinuity like holes and notches in sheet metals can decrease their buckling capacity, significantly. In current study, based on Finite Element Method (FEM), ABAQUS/Explicit has been employed to determine the elastic buckling capacity in a Perforated Rectangular sheet metal with different boundary conditions on its edges. Afterward, the effect of the hole position and the plate aspect ratios (plate length/plate width) on the buckling capacity of sheet metal was studied. Finally, in order to enhance the sheet metal buckling capacity, two different types of stiffeners were used. The outcomes showed that the maximum buckling coefficient is related to the sheet metal which have four clamped edges. Moreover, For all boundary conditions, the buckling coefficient does not change significantly for the sheet metals with aspect ratio of more than 4. Also, stiffener type 2 increased the buckling capacity of sheet metal up to 83%.

Buckling analysis of Rectangular functionally graded Plates with geometrical imperfections is studied in this paper the equilibrium, stability, and compatibility equations of an imperfect functionally graded plate are derived using the first order shear deformation theory. It is assumed that the non-homogeneous mechanical properties of the plate, graded through the thickness, are described by a power function of the thickness variable. The plate is assumed to be under in-plane compressive load. Resulting equations are employed to obtain the closed-form solutions for the critical buckling load of an imperfect functionally graded plate. The influence of transverse shear on buckling behavior of the plate is discussed. The results are validated with the known data in the literature.

The implementation of new techniques and design of new elements have been an important issues among finite element researchers. In this regard, a designed super element has been applied to analyze a series of dynamic problems. Findings indicate that in large structure analysis the same results as the conventional method can be obtained when applying a few super elements. The time required for dynamic analysis using a super element is significantly smaller than the regular finite element. In this paper, the forced vibration of laminated composite Rectangular Plates is analyzed. The dynamic response of the plate, using a four-super element, is obtained. In-plane deformation, as well as bending deformation, is included in the model. The current computational model is a simple and efficient way to predict the dynamic behavior of the laminated composite plate.

This study is focused on the hydrostatic vibration analysis of a Rectangular plate in partial contact with a bounded fluid in bottom and vertical directions. A set of admissible trial functions is required to satisfy the clamped and simply supported geometric boundary conditions. The fluid velocity potential satisfying fluid boundary conditions is derived, and the wet dynamic modal functions of the plate are expanded, in terms of the finite Fourier series, for a compatibility requirement along the contacting surface between the plate and the fluid. The natural frequencies of the plate coupled with sloshing fluid modes are calculated using the Rayleigh-Ritz method, based on minimizing the Rayleigh quotient. The proposed analytical method is verified by comparing the presented results with the results obtained by three-dimensional finite element analysis. Finally, the incense of boundary conditions, plate and tank dimensions, fluid depth and hydrostatic pressure on natural frequencies is examined and discussed in detail.