Numerical Experiments on Quarter of an Elliptic Plate with Exponential Thickness Variation

International Journal of Mathematics Trends and Technology (IJMTT)
© 2017 by IJMTT Journal
Volume-50 Number-5
Year of Publication : 2017
Authors : Neetu Singh, Vipin Saxena


Neetu Singh, Vipin Saxena "Numerical Experiments on Quarter of an Elliptic Plate with Exponential Thickness Variation", International Journal of Mathematics Trends and Technology (IJMTT). V50(5):279-286 October 2017. ISSN:2231-5373. Published by Seventh Sense Research Group.

A study of transverse vibrations of plates plays an important role in the design of naval architecture, engineering design, aircraft design, etc. Due to wide variety of its application, first few frequencies play crucial role for getting best structural design. The present work is related to consider a plate in the form of quarter of an elliptic and a variable thickness in the form of exponent is considered. A well-known Rayleigh Ritz method is used for mathematical solution of the problem in the form of eigenvalue problem. The solution of eigenvalue form is further computed through generalized Jacobin method which gives first few frequencies. The aim of this paper is to compute first three frequencies and computed results are compared with the existing results for the uniform thickness. The new computed results are represented through tables and graphs. Convergence up-to five significant digits are also presented.

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Rayleigh-Ritz Method, quarter elliptic Plate, eigen value, Jacobi Method.