Accession Number : AD0674586

Title :   DYNAMIC PROGRAMMING, INVARIANT IMBEDDING, AND THIN BEAM THEORY,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Alspaugh,D. W. ; Kagiwada,H. H. ; Kalaba,R. E.

Report Date : AUG 1968

Pagination or Media Count : 24

Abstract : Dynamic programming and invariant imbedding concepts are used to transform the two-point boundary-value problem of the theory of thin beams into initial-value problems that can be solved effectively by analog or digital computers. To demonstrate the computational feasibility of the methods, an example of a uniform beam of unit length, free at the left end and cantilevered at the right, was chosen, and the deflection was computed by three methods: A reference solution was computed by a segmented technique, and the deflections were then computed by dynamic programming and by invariant imbedding. Results indicate excellent agreement among the various solutions. (Author)

Descriptors :   (*BEAMS(STRUCTURAL), *DYNAMIC PROGRAMMING), INVARIANCE, BOUNDARY VALUE PROBLEMS, BOUNDARY VALUE PROBLEMS, BENDING, PROBLEM SOLVING, NUMERICAL METHODS AND PROCEDURES

Subject Categories : Operations Research
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE