Accession Number : ADP000097

Title :   Optimal Finite Element Discretization - A Dynamic Programming Approach,

Corporate Author : KOBE UNIV (JAPAN)

Personal Author(s) : Seguchi,Y. ; Tanaka,M. ; Tomita,Y.

Report Date : 1981

Pagination or Media Count : 7

Abstract : An investigation from the topological aspect of the optimal finite element idealization is carried out for the liner elastic system. The criterion for the topological optimization is based on the minimization of the total potential energy, the Rayleigh quotient, and the energy quotient for the static equilibrium, free vibration, and Euler buckling problems, respectively. Firstly, in order to clarify the relation between the functional to be minimized and the discretization topology, the dynamic programming approach proposed by Distefano et al. is extended to the two kind of eigenvalue problems, that is, the free vibration and the Euler buckling analysis.

Descriptors :   *Finite element analysis, *Dynamic programming, *Topology, *Structural analysis, *Structural mechanics, Structural engineering, Mechanical engineering, Optimization, Structures, Linear systems, Elastic properties, Energy conservation, Potential energy, Rayleigh waves, Static loads, Equilibrium(General), Vibration, Euler angles, Buckling, Eigenvalues

Distribution Statement : APPROVED FOR PUBLIC RELEASE