A Numerical Solution to the General Large Deflection Plate Equations Lockheed-Georgia Company

Format:

Conference/Event

Author/Creator:

Petit, Parker Holmes, author.

Conference Name:

1965 International Automotive Engineering Congress and Exposition (1965-01-11 : Detroit, Michigan, United States)

Language:

English

Physical Description:

1 online resource

Place of Publication:

Warrendale, PA SAE International 1965

Summary:

The three equilibrium equations governing the large deflections of thin plates are presented. A finite-difference overrelaxation technique is developed for the approximate solution of this system of nonlinear partial differential equations on a digital computer. To insure stability and speed up convergence of the numerical solution, nonlinear terms in the equations are treated as constants, which are evaluated periodically as the iteration proceeds. This method gives stable solutions for practically all ranges of the over-relaxation factor; therefore, the overrelaxation factor can be chosen to give convergence in the minimum number of iterations. Results obtained by using this technique on a simple plate bending problem and the corresponding results obtained by Levy and Wang are presented for comparison

Notes:

Vendor supplied data

Publisher Number:

650042

Access Restriction:

Restricted for use by site license