Accession Number:

AD0691275

Title:

NUMERICAL ANALYSIS OF ELASTIC PLATES AND SHALLOW SHELLS BY AN INTEGRAL EQUATION METHOD.

Descriptive Note:

Technical rept.,

Corporate Author:

ILLINOIS UNIV URBANA DEPT OF CIVIL ENGINEERING

Personal Author(s):

• Forbes,Delroy J.
• Robinson,Arthur R.

Report Date:

1969-07-01

Pagination or Media Count:

245.0

Abstract:

A numerical method for the analysis of elastic plates and shallow shells is developed. The static boundary value problems are formulated in terms of integral equations by use of the reciprocal relationships between the actual state of stress and certain singular ones resulting from point loads on a plate. Quadrature techniques are developed to approximate the singular integral equations by a set of algebraic equations in the unknown boundary quantities at selected points. The stress resultants and displacements at interior points are computed directly from the boundary values. Results obtained for several plate and shallow shell problems by the approximate method are in excellent agreement with the exact solutions. Author

Descriptors:

• (*ELASTIC SHELLS
• *STRESSES)
• (*METAL PLATES
• BOUNDARY VALUE PROBLEMS)
• (*INTEGRAL EQUATIONS
• *NUMERICAL ANALYSIS)
• STRUCTURAL PROPERTIES
• STRESSES
• DEFORMATION
• ELASTIC PROPERTIES
• LOADS(FORCES)
• NUMERICAL INTEGRATION
• APPROXIMATION(MATHEMATICS)
• THESES

Subject Categories:

• Numerical Mathematics
• Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE