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

Open Access

Year : 2021 | Volume : | Issue : 1 | Page : 6-17
By

    Manuraj

  1. Anadi Misra

  1. M.Tech, Department of Mechanical Engineering, Govind Ballabh Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India
  2. Professor, Department of Mechanical Engineering, Govind Ballabh Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India

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: FEA, laminated composite plate, ANSYS, deformation theory, modal Analysis

[This article belongs to Journal of Experimental & Applied Mechanics(joeam)]

How to cite this article: Manuraj, Anadi Misra FEA Simulation for Optimization of Laminated Composite Plate with Cutout in Free Vibrations joeam 2021; 12:6-17
How to cite this URL: Manuraj, Anadi Misra FEA Simulation for Optimization of Laminated Composite Plate with Cutout in Free Vibrations joeam 2021 {cited 2021 Apr 26};12:6-17. Available from: https://journals.stmjournals.com/joeam/article=2021/view=92108

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References

1. Bhardwaj H, Vimal J, Sharma A. Study of free vibration analysis of laminated composite plates with triangular cutouts. Eng Solid Mech. 2015; 3(1): 43–50.
2. Boscolo M, Banerjee JR. Layer-wise dynamic stiffness solution for free vibration analysis of laminated composite plates. J Sound Vibr. 2014; 333(1): 200–27.
3. Isanaka BR, Akbar MA, Mishra BP, et al. Free vibration analysis of thin plates: Bare versusStiffened. Engineering Research Express (ERX). 2020; 2(1): 015014.
4. Civalek Ö. Free vibration analysis of symmetrically laminated composite plates with first-order shear deformation theory (FSDT) by discrete singular convolution method. Finite Elem Anal Des. 2008; 44(12–13): 725–31.
5. Kumar D, Singh SB. Effects of boundary conditions on buckling and postbuckling responses of composite laminate with various shaped cutouts. Compos Struct. 2010; 92(3): 769–79.
6. Dong SB, Pister KS, Taylor RL. On the theory of laminated anisotropic shells and plates. Journal of the Aerospace Sciences. 1962; 29(8): 969–75.
7. Fan SC, Cheung YK. Flexural free vibrations of rectangular plates with complex support conditions. J Sound Vibr. 1984; 93(1): 81–94.
8. Kant T, Marur SR, Rao GS. Analytical solution to the dynamic analysis of laminated beams using higher order refined theory. Compos Struct. 1997; 40(1): 1–9.
9. Khdeir AA, Reddy JN. Free vibrations of laminated composite plates using second-order shear deformation theory. Comput Struct. 1999; 71(6): 617–26.
10. Mallika A, Rao RN. Topology optimization of cylindrical shells for various support conditions. International Journal of Civil and Structural Engineering. 2011; 2(1): 11–22.
11. Swamy Monica S, et al. Buckling Analysis of Plate Element Subjected to In Plane Loading Using ANSYS. International journal of Scientific and Engineering Research (IJSER). 2012; 9: 70–79
12. Pandit MK, Haldar S, Mukhopadhyay M. Free vibration analysis of laminated composite rectangular plate using finite element method. J Reinf Plast Compos. 2007; 26(1): 69–80.
13. Ramakrishna S, Rao KM, Rao NS. Free vibration analysis of laminates with circular cutout by hybrid-stress finite element. Compos Struct. 1992; 21(3): 177–85.


Regular Issue Open Access Article
Volume 12
Issue 1
Received April 12, 2021
Accepted April 20, 2021
Published April 26, 2021