๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A stability condition for an extensive class of viscoelastic motions

โœ Scribed by Andrea Dall'asta


Publisher
Springer Netherlands
Year
1995
Tongue
English
Weight
572 KB
Volume
39
Category
Article
ISSN
0374-3535

No coin nor oath required. For personal study only.

โœฆ Synopsis


The stability problem of viscoelastic solids is usually approached by means of linear integro-differential equations describing infinitesimal perturbed motions. To date, only simple unidimensional problems have been studied and general stability conditions are not available. This paper analyses the case of viscoelastic solids undergoing constant stress under the assumption of fading memory and thermodynamic compatibility. An existence and uniqueness theorem and a stability condition are provided for the problem.


๐Ÿ“œ SIMILAR VOLUMES


Stability conditions for a class of dist
โœ Hiralal C. Khatri ๐Ÿ“‚ Article ๐Ÿ“… 1971 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 587 KB

Open-loop stability in the sense of bounded outputs for bounded inputs, and closed-loop asymptotic stability are considered for a class of distributed parameter systems. This class consists of systems whose dynamics can be represented by a transfer function which is the ratio of the multiple transfo

An algorithm for the active stabilizatio
โœ M.S. Yefremov; A.Ye. Polyakov; V.V. Strygin ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 300 KB

An algorithm for stabilizing the angular position of a spacecraft with dynamic elastic elements possessing dissipative properties is proposed, based on bang-bang feedback with delay. The control is achieved under conditions of uncertainty. The accuracy of the equation is demonstrated by a numerical

Asymptotic Stability Condition for a Cla
โœ Ryuzou Ogita; Hideaki Matsunaga; Tadayuki Hara ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 102 KB

In this paper we obtain a necessary and sufficient condition for the asymptotic stability of the zero solution of the linear delay difference equation N x y x q p x s 0, n s 0, 1, 2, . . . , ร nq 1 n n ykqลฝ jy1.l js1 by using root-analysis for the characteristic equation. Here, p is a real number an