Modeling and Buckling Analysis of Rectangular Plates in ANSYS

Abstract

With plate-buckling problem still being an active area of research in the field of mechanics of materials, researchers need to validate the proposed solutions and theories, using robust analysis tools such like ANSYS, which is a robust finite element analysis tool. This article investigates modeling and buckling analysis of rectangular plates in ANSYS mechanical APDL through a series of comparative studies conducted on various models and options. Shell and solid models of homogeneous and functionally graded plate (FGP) using various elements are investigated. Expressing boundary conditions on both shell and solid models of plate for buckling analysis is discussed. Procedures of buckling analysis in ANSYS are presented and effects of meshing, boundary conditions and element options are examined though comparative studies. Results obtained from ANSYS are compared to various analytical solutions.

Keywords

• Plate buckling,ANSYS,Functionally graded,solid model,shell model

References

1. [1] J. N. Reddy, Theory and analysis of elastic plates and shells. CRC press, 2006.
2. [2] C. H. Yoo and S. Lee, Stability of structures: principles and applications. Elsevier, 2011.
3. [3] M. R. Eslami, Eslami, and Jacobs, Buckling and Postbuckling of Beams, Plates, and Shells. Springer, 2018.
4. [4] B. Banerjee, J. Chen, and A. Kathirgamanathan, "Comparison of ANSYS elements SHELL181 and SOLSH190," Res. Rep., Univ. of Auckland, New Zealand, 2011.
5. [5] E. Wang, "Thin-wall structure simulation," presented at the 2006 International ANSYS Conference, 2006-05-02 - 2006-05-04., 2006. Available: https://www.ansys.com/-/media/ansys/corporate/resourcelibrary/conference-paper/2006-int-ansys-conf-22.pdf
6. [6] M. S. Swamy, R. A, S. D, and S. S. Badami, "Buckling Analysis of Plate Element Subjected to In Plane Loading Using ANSYS," International Journal of Innovative Research in Science, Engineering and Technology, vol. 4, no. 5, p. 10, 2015.
7. [7] T. Subramani and A. Sugathan, "Finite element analysis of thin walled-shell structures by ANSYS and LS-DYNA," International Journal of Modern Engineering Research, vol. 2, no. 4, pp. 1576-1587, 2012.
8. [8] M. Bischoff, "Modeling of shells with three-dimensional finite elements," in Proceedings of the 6th International Conference on Computation of Shell and Spatial Structures. May, 2008, pp. 28-31.

9. [9] B. S. Shariat and M. Eslami, "Buckling of thick functionally graded plates under mechanical and thermal loads," Composite Structures, vol. 78, no. 3, pp. 433-439, 2007.
10. [10] A. Moslemi, B. N. Neya, and J. V. Amiri, "3-D elasticity buckling solution for simply supported thick rectangular plates using displacement potential functions," Applied Mathematical Modelling, vol. 40, no. 11-12, pp. 5717-5730, 2016.