FEA Simulation for Optimization of Laminated Composite Plate with Cutout in Free Vibrations

Manuraj .; Anadi Misra

Abstract

Laminated composites have a large application in engineering. The work done in this study is to seethe free vibration response of graphite epoxy composite square plate subjected to different boundaryconditions. Finite element analysis has been done on the software ANSYS. The results obtained by thesimulation have been compared with those obtained from a published data obtained by semianalyticalsolution. It is observed that the solutions through ANSYS and that obtained throughanalytic solution are in good agreement and hence we see that this can be a valid method forsimulating the problem. The analytic solution to this problem is complex and time consuming, so wesuggest this approach which gives faster and reasonably accurate solution to the problem. Theboundary conditions taken from the reference data are SSCC, SSCS, SSSS and SSCF and the plytaken is a cross ply with 0/90 lay. Further we see how the 1st mode natural frequency depends uponthe area of the cutout. For a relative study we take readings for square, pentagonal, hexagonal, andcircular shape cutout. For this we investigate different standard ply types with one of the aboveboundary conditions. Boundary condition taken is SSCS and the ply-types SP, QI, CP, and AP.Optimization has been carried out by selection of appropriate interpolation function for the datapoints as shown in the graphs. Then Genetic Algorithm is used to determine corresponding area tominimum and maximum frequency. Mode shapes can be extracted to see the deformation associatedwith particular modes. It can be utilized for placement of constraints on the structure.

Abstract

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