Title of article :
Numerical computation of BCOPs1 in two variables for solving the vibration problem of a CF-elliptical plate
Author/Authors :
Hassan, Saleh M. King Saud University - College of Science - Department of Mathematics, Saudi Arabia
From page :
195
To page :
204
Abstract :
Boundary characteristic orthogonal polynomials in xy-coordinates have been built up over an elliptical domain occupied by a thin elastic plate. Half of the plate boundary is taken clamped while the other half is kept free. Coefficients of these polynomials have been computed once and for all so that an orthogonal polynomial sequence is generated from a set of linearly independent functions satisfying the essential boundary conditions of the problem. Use of this sequence in Rayleigh–Ritz method for solving the free vibration problem of the plate makes it faster in convergence and leads to a simplified system whose solution is comparatively easier. Three-dimensional solution surfaces and the associated contour lines have been plotted in some selected cases. Comparison have been made with known results whenever available.
Keywords :
Elliptical plates , Nonuniform boundary conditions , Orthogonal polynomials , Vibration
Journal title :
Journal Of King Saud University - Science
Journal title :
Journal Of King Saud University - Science
Record number :
2609089
Link To Document :
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