✦ LIBER ✦

ALMOST SURE STABILITY OF VISCOELASTIC STRUCTURAL MEMBERS DRIVEN BY RANDOM LOADS

✍ Scribed by A.D. Drozdov

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 266 KB
Volume: 197
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1996.0533

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✦ Synopsis

Small stochastic oscillations of viscoelastic structural members are described by linear integro-differential equations with random coefficients. Almost sure stability of the zero solution of these equations is studied by using the Laplace transform technique under the assumption that the coefficients are stationary ergodic processes. Explicit stability conditions are developed for arbitrary relaxation kernels. These conditions are applied to the stability problem for a viscoelastic bar lying on an elastic foundation and driven by random compressive forces, and upper bounds for the intensity of the random load are calculated. The effects of material and structural parameters on the upper bounds for random forces are analyzed numerically.

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On Almost Sure Stability of a Viscoelast

On Almost Sure Stability of a Viscoelastic Column Under Random Loading

✍ V.D. Potapov 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 201 KB

This paper is concerned with the problem of the stability of the motion of viscoelastic columns subjected to a longitudinal force. This force is a random wide-band stationary process. The relaxation kernels of the column's material are represented by the sums of exponents. The column is simply suppo