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Flexure of a Long Flat Curved Plate Under End Loadings
P. V. B. A. S. Sarma, B. S. Ramachandra Rao and S. Gopalacharyulu
SIAM Journal on Applied Mathematics
Vol. 26, No. 3 (May, 1974), pp. 568-577
Published by: Society for Industrial and Applied Mathematics
Stable URL: http://www.jstor.org/stable/2099736
Page Count: 10
You can always find the topics here!Topics: Structural deflection, Flat plates, Mathematical problems, Boundary conditions, Mathematics, Paper plates, Eigenfunctions, Rectangular plates, Bending, Differential equations
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Using a biorthogonality relation, it is shown how solutions for the flexure of a long flat curved plate whose curved boundaries are clamped can be obtained for physically meaningful combinations of the boundary functions prescribed on the straight edge. It is shown how closed solutions can be obtained when deflection and moment are prescribed on the straight edge. Further, when deflection and slope or moment and shear force are prescribed on the straight edge, it is shown how the problems can be reduced to a system of linear algebraic equations in infinitely many unknowns. Some numerical results are presented when zero deflection and constant bending moment are prescribed on the straight edge of a long plate whose curved boundaries are clamped.
SIAM Journal on Applied Mathematics © 1974 Society for Industrial and Applied Mathematics