Accession Number:

AD0744993

Title:

Nonlinear Buckled States of Rectangular Plates.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Knightly,George H.
• Sather,D.

Report Date:

1972-06-01

Pagination or Media Count:

26.0

Abstract:

A constructive method is developed to establish the existence of buckled states of a thin, flat elastic plate that is rectangular in shape, simply supported along its edges, and subjected to a constant compressive thrust applied normal to its two short edges. Under the assumption that the stress function and the deformation of the plate are described by the nonlinear von Karman equation, the approach used yields information regarding not only the number of buckled states near an eigenvalue of the linearized problem, but also the continuous dependence of such states on the load parameter and the possible selection of that buckled state preferred by the plate. Author

Descriptors:

• (*BUCKLING
• RECTANGULAR BODIES)
• (*NONLINEAR DIFFERENTIAL EQUATIONS
• NUMERICAL INTEGRATION)
• ELASTIC SHELLS
• METAL PLATES
• STRESSES
• FUNCTIONAL ANALYSIS
• MATRICES(MATHEMATICS)
• THEOREMS

Subject Categories:

• Theoretical Mathematics
• Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE