Affiliation:
1. Kumaraguru College of Technology, Coimbatore, India
Abstract
For a thin plate, if the deformation is on the order of the thickness and stay elastic, linear theory might not turn out correct results because it does not predict the in plane movement of the member. Therefore, to account for the inconsistencies of geometric nonlinearity, large deflection theory is required [1]. This report pertains to the analytical study dispensed to check the behavior of thin plate under fixed and pinned edge conditions, and for diverse thicknesses, under the small and large deflection theories. The deformation is additionally studied, supported by Von-Karman equations. Non linear analysis has been performed on FE model using the ANSYS software. The consequences of geometric nonlinearities are mentioned. Outline on conclusion of the theoretical and experimental results obtained, are compared so as to review the similarity of the modeling and theory.
Reference13 articles.
1. V. V Nishawala and H. Baruh, “Study of Large Deflection of Beams and Plates,” Mech. Aerosp. Eng., vol. MSc, 2011.
2. R. L. Mullen, R. L. Muhanna, and M. V. R. Rao, “Non-Linear Analysis of Beams with Large Deflections – An Interval Finite Element Approach.”
3. A. D. Cox and L. W. Morland, “Dynamic plastic deformations of simply-supported square plates,” J. Mech. Phys. Solids, vol. 7, no. 4, pp. 229–241, 1959, doi: 10.1016/0022-5096(59)90022-5.
4. D. N. Buragohain and S. C. Patodi, “Large deflection analysis of plates and shells by discrete energy method,” Comput. Struct., vol. 9, no. 3, pp. 315–322, 1978, doi: 10.1016/0045-7949(78)90115-3.
5. D. Pandit and S. M. Srinivasan, “Large Elasto-plastic Deflection of Thin Beams with Roller Support Contact,” Procedia Eng., vol. 173, pp. 1079–1084, 2017, doi: 10.1016/j.proeng.2016.12.188.