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FEA Simulation for Optimization of Laminated Composite Plate with Cutout in Free Vibrations
Abstract
Laminated composites have a large application in engineering. The work done in this study is to see
the free vibration response of graphite epoxy composite square plate subjected to different boundary
conditions. Finite element analysis has been done on the software ANSYS. The results obtained by the
simulation have been compared with those obtained from a published data obtained by semianalytical
solution. It is observed that the solutions through ANSYS and that obtained through
analytic solution are in good agreement and hence we see that this can be a valid method for
simulating the problem. The analytic solution to this problem is complex and time consuming, so we
suggest this approach which gives faster and reasonably accurate solution to the problem. The
boundary conditions taken from the reference data are SSCC, SSCS, SSSS and SSCF and the ply
taken is a cross ply with 0/90 lay. Further we see how the 1st mode natural frequency depends upon
the area of the cutout. For a relative study we take readings for square, pentagonal, hexagonal, and
circular shape cutout. For this we investigate different standard ply types with one of the above
boundary 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 data
points as shown in the graphs. Then Genetic Algorithm is used to determine corresponding area to
minimum and maximum frequency. Mode shapes can be extracted to see the deformation associated
with particular modes. It can be utilized for placement of constraints on the structure.
Keywords
References
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