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   Numerical computation of BCOPs1 in two variables for solving the vibration problem of a CF-elliptical plate  
   
نویسنده Hassan Saleh M.
منبع journal of king saud university - science - 2010 - دوره : 22 - شماره : 4 - صفحه:195 -204
چکیده    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.
کلیدواژه Elliptical plates; Nonuniform boundary conditions; Orthogonal polynomials; Vibration
آدرس King Saud University, College of Science, Department of Mathematics, Saudi Arabia
 
     
   
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