The Earthquake Engineering Online Archive

Some Stability Criteria for Nonlinear Hereditary Phenomena

Distefano, J. Nestor

UCB/SESM-1965/07, Dept. of Civil Engineering, University of California, Berkeley, 1965-08, 21 pages (500/C23/65/07)

Conditions for long-term stability of nonlinear hereditary phenomena are derived from 2 Tauberian theorems. When the hereditary phenomena are time invariable (i.e., of the closed cycle type), then the asymptotic limit of the phenomena is evaluated. An application is made to the investigation of the stability of a rigid column restrained by a nonlinear viscoelastic element.

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