Numerical and Analytical Investigation of Stability of the Reinforced Plate

The work is aimed at the construction of an algorithm for studying the equilibrium states of a reinforced plate near critical points, using the first (cubic terms) nonlinear terms of the potential energy expansion. Using geometrically nonlinear analysis of displacement, deformation and stress fields, the Eigenforms of buckling were calculated and bifurcation solutions and solutions for equilibrium curves with limit points were constructed depending on the initial imperfections.

GEOMETRIC REPRESENTATIONS OF EQUILIBRIUM CURVES OF A COMPRESSED STIFFENED PLATE

The work is aimed at studying the solutions of the stability problem (subcritical and postcritical equilibrium) of an infinitely wide regular compressed reinforced plate, using a selected T-shaped fragment that is equally stable with others. The authors have given a classification of possible analytical solutions for these plates. The results of the work are presented in the form of variants of spatial bifurcation diagrams, values of critical loads, as well as coordinates of singular points for different cases of solutions.

Improvement of Buckling Behavior of Composite Plates Reinforced with Hybrids Nanomaterials Additives

Modifying buckling behavior of the composite structure has been investigated in the recent few years with different reinforcement fiber and powder materials and nanomaterials. It can be seen from previous studies that the addition of nanomaterials leads to a significant modification in the buckling behavior of structure by using a low mount of nanomaterials. In this work, reinforcement of composite materials using two types of nanomaterials together, SiO2 and Al2O3 nanomaterials, to modify the buckling behavior for plate structure is studied. Therefore, the investigation was done experimentally and numerically. The experimental work is performed by manufacturing composite plates with various weight fractions with the nanoeffect, and then their mechanical properties and buckling characterization were evaluated. The numerical work was done using the finite element method to estimate the plate structure’s buckling behavior with various nanomaterials effects. A comparison between the experimental and the numerical results for plate buckling behavior is expressed, showing that the discrepancy of the results was not more than 12.56%. Finally, the results showed that the buckling behavior for a reinforced plate was improved by 35% when two types of nanomaterials were used together.

Dynamic stability of anisotropic fiber-reinforced plate

The dynamic stability problem of an anisotropic fiber-reinforced plate under increasing compressing load is considered in a geometrically nonlinear formulation using the Kirchhoff-Love’s shell theory. The problem is solved using the Bubnov-Galerkin method based on a polynomial approximation of the deflections in combination with a numerical method based on quadrature formulas. For a wide range of variations of physical, mechanical, and geometrical parameters, the dynamic behavior of the plate is studied.

Structural Optimization Coupled with Materials Selection for Stiffness Improvement

An application of a Finite Element Model updating is presented in this paper. Two Finite Element models were considered: a reinforced plate and a thin-walled beam. The two parts were numerically calculated in ANSYS Mechanical APDL and MATLAB programs. ANSYS performs Finite Element calculations, and a MATLAB programming code was used to control the optimization procedure. Geometric variables were chosen, to evaluate the value of the defined objective function. The material was picked using available selection charts, to find the most adequate one for the study. It has been concluded that the transveral displacement of the models modified by the optimization process decreased sharply in relation to the original state.