Analysis of SSSS and CSCS Rectangular Plates under both Lateral and In-Plane Loads Using Split Deflection Method
Downloads
This paper presents rectangular plate analysis under both lateral and in-plane loads using split deflection method. Thin rectangular plate with primary and secondary in-plane dimensions a and b and thickness t was analyzed in this research. The plates analyzed are ssss plate, simply supported at all edges and cscs plate, simply supported on two opposite edges and clamped on other edges. The total potential energy functional of the plate is minimized with respect to deflection. This gives governing equation, which was solved using split deflection to obtain general equation for deflection. It is also minimized with respect to coefficient of deflection to obtain the formula for the deflection coefficient. The work satisfies the boundary conditions the two plates and obtained unique shape functions for them. Numerical values of the coefficients of deflection and the center deflections of the two plates are determined in the absence and also in the presence of in-plane loads. The results show that the maximum percentage differences recorded for ssss and cscs plates, in the absence of in-plane load, with previous results are 4.86% and 5.15%. It is observed that it is not advisable to work with plate with in-plane load exceeding the critical buckling load.
Njoku, K. O., Ezeh, J. C., Ibearugbulem, O. M., Ettu, L. O., and Anyaogu, L. (2013). Free vibration analysis of thin rectangular isotropic cccc plate using Taylor series formulated shape function in Galerkin’s method. Academic Research International, vol 4, No. 4, pp. 126 – 132.
Ibearugbulem, O. M., Ibeabuchi, V. I., and Njoku, K. O. (2014). Buckling analysis of ssss stiffened rectangular isotropic plates using work principle approach. Intl. Journal of Innovative Research and Development, vol. 3, issue 11, pp. 169 – 176.
Ugural, A. C. (1999). Stresses in plates and shells (2nd Ed.). Singapore: McGraw-hill
Ventsel, E. And Krauthammer, T. (2001). Thin Plates and Shells: Theory, Analysis and Applications. New York: Marcel Dekker
Szilard, R. (2004). Theories and Applications of plate analysis (Classical, Numerical and Engineering Methods). New Jersey: John Wiley & Sons.
Ezeh, J. C., Ibearugbulem, O. M., Njoku, K. O. and Ettu, L. O. (2013). Dynamic analysis of isotropic ssss plate using Taylor series shape function in Galerkin’s functional. International Journal of Emerging Technology and Advanced Engineering, vol. 3, issue 5, pp. 372 – 375.
Ibearugbulem , O. M (2016).. “Note on rectangular plate analysis.” Germany: Lambert Academic Publishing Omni Scriptum GmbH & Co. KG. ISBN: 978-3-330-01636-1
Ozuluonye, C .G. (2014). “Pure bending analysis of thin rectangular plates using energy method”. Master’s thesis submitted to Postgraduate School, Federal University of Technology Owerri (un-published)
Ibearugbulem , O. M., Ibearugbulem , C. N., Momoh, H., and Asomugha, A. U.. (2016). “Split – deflection method of classical rectangular plate analysis.” International journal of Scientific and research publication, vol 6, issue. 5, ISSN 2250 – 3153, 2016
Timoshenko, S. P. and Woinowsky- Krieger , S. (1959). “Theory of plates and shells”.New York; McGrawHill.
