A Simple Spline Integral Equation Method for Circular Plates with Variable Thickness
2007 ◽
Vol 353-358
◽
pp. 2687-2690
Keyword(s):
A simple spline integral equation method is presented in this paper for the axisymmetrical bending of circular plates with variable thickness. Firstly, the fundamental solution of a second-order differential equation is derived. With the slope of the deflection surface taken as an unknown function, an integral equation is then established for circular plates with variable thickness. The integral equation is solved numerically by cubic spline interpolation and the deflection and bending moment at any point within the circular plate are obtained. Finally, the validity of the proposed method is verified with the analytical solution obtained from the literature.
Keyword(s):
Keyword(s):
1993 ◽
Vol 9
(3)
◽
pp. 223-235
A note on the boundary integral equation method for the solutions of second order elliptic equations
1985 ◽
Vol 26
(4)
◽
pp. 415-421
◽
Keyword(s):
2019 ◽
Vol 56
(1)
◽
pp. 11-22
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Bragg reflection in a fully nonlinear numerical wave tank based on boundary integral equation method
2008 ◽
Vol 35
(17-18)
◽
pp. 1800-1810
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