Accession Number : AD0710787

Title :   BOUNDS ON MOTIONS OF SOME LUMPED AND CONTINUOUS DYNAMIC SYSTEMS,

Corporate Author : BROWN UNIV PROVIDENCE R I

Personal Author(s) : Plaut,R. H. ; Infante,E. F.

Report Date : 1970

Pagination or Media Count : 31

Abstract : Lumped and continuous systems subjected to general dynamic loads or perturbations are considered. The motions of these systems are assumed to be described by ordinary or partial differential equations with time-varying forcing terms. Upper bounds on the motions are derived with a Liapunov type of approach. The results are applied to some structural dynamics problems: displacement bounds are determined for elastic columns, plates, and arches, and sufficient conditions for stability of arches against 'snap-through' are obtained. (Author)

Descriptors :   (*STRUCTURAL MEMBERS, LOADS(FORCES)), (*DIFFERENTIAL EQUATIONS, PERTURBATION THEORY), EQUATIONS OF MOTION, CALCULUS OF VARIATIONS, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION, METAL PLATES, STABILITY

Subject Categories : Numerical Mathematics
      Structural Engineering and Building Technology
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE