Numerical Investigation of Eigenvalue Characteristics (Vibration and Buckling) of Damaged Porous Bidirectional FG Panels

Purpose: The present research work aims to analyze the vibration and buckling behaviour of multidirectional FG porous structures engrained with damage. Power-law (P-FGM), sigmoid (S-FGM) and exponential (E-FGM) gradings are considered to compute the material properties of the cracked FG plate. The porosity effect on the structural strength has been modelled to explore the realistic influences. Methods: In the current study, the eigenvalue analysis of the cracked FG plate with porosities is performed computationally with the help of a numerical model. The multidirectional porous structural model is repaired in ABAQUS via python script to meet the batch input. The study used the ABAQUS kernel instead of the standard GUI for better control. Results: The adequacy of the current model has been verified initially by comparing the eigenvalues (frequency and buckling load) with those of available published data with and without damages (crack). The results have been calculated for different grading patterns, porosity values, geometrical data, grading index, and crack-dependent parameters to understand their influence on the eigenvalues of the damaged multidirectional porous graded structures. Conclusions: A few generalized understandings are obtained based on the parametric study, i.e., the cracks cause a substantial decrement in total structural stiffness, which, in turn, reduces the final results adequately. Structural components are affected due to the presence of a crack in specific orientations, like in the lengthier edge of the rectangular shape. Similarly, the porosity affects the total stiffness and associated responses like the frequency and the critical buckling load.