Accession Number:

AD0692696

Title:

APPLICATION OF INVARIANT IMBEDDING TO THE EIGENVALUE PROBLEMS FOR BUCKLING OF COLUMNS,

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

• Alspaugh,D. W.
• Kagiwada,H. H.
• Kalaba,R.

Report Date:

1969-08-01

Pagination or Media Count:

28.0

Abstract:

A classical eigenvalue problem for the buckling of beams is transformed into an initial-value problem by means of invariant imbedding. This initial-value form is particularly well suited for numerical integration. Several examples are presented to illustrate the technique and to demonstrate the accuracy of the numerical solution. Author

Descriptors:

• (*BEAMS(STRUCTURAL)
• BUCKLING)
• (*BOUNDARY VALUE PROBLEMS
• TRANSFORMATIONS(MATHEMATICS))
• (*BOUNDARY VALUE PROBLEMS
• NUMERICAL ANALYSIS)
• COMPUTER PROGRAMMING
• MATRICES(MATHEMATICS)
• CAUCHY PROBLEM
• NUMERICAL INTEGRATION

Subject Categories:

• Theoretical Mathematics
• Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE