Nonlinear large-deflection boundary-value problems of rectangular plates
By: by Chi-Teh Wang
Contributors: United States. National Advisory Committee for Aeronautics
Series: National Advisory Committee for Aeronautics technical note -- number 1425; Technical note (United States. National Advisory Committee for Aeronautics) -- no. 1425.
Publisher: National Advisory Committee for Aeronautics
Published: 1948
Place of publication: Washington, D.C
Language: eng
Number of pages: 113
ISBN-13: 9781680156096
Subjects: Plates (Engineering); Boundary value problems; Relaxation methods (Mathematics); Plaques (Ingénierie); Problèmes aux limites; Méthodes de relaxation (Mathématiques)
Description: Relaxation and successive approximation methods are used to solve Von Karman's equations as applied to initially flat, rectangular plates with large deflections under either normal pressure or combined normal pressure and side thrust, and several specific cases are analyzed. The general method developed may be applied to bending and combined bending and buckling problems with practically any boundary conditions to any required degree of accuracy or applied to solve the membrane theory of the plate which applies when the deflection is very large in comparison with the thickness of the plate.
Notes: Date of issue: March 1948.

Report no. NACA TN No. 1425.

Includes bibliographical references.