𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Almost Sure Stability of a Viscoelastic Column Under Random Loading

✍ Scribed by V.D. Potapov

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
201 KB
Volume
173
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis

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 supported at the ends and perturbation of the initial conditions is assumed in the form of one half-wave of a sine function. The application of Liapunov's direct method to the indicated problem is considered. Sufficient conditions for almost sure stability conditions are obtained for both elastic and viscoelastic columns.

πŸ“œ SIMILAR VOLUMES

ALMOST SURE STABILITY OF VISCOELASTIC ST
ALMOST SURE STABILITY OF VISCOELASTIC STRUCTURAL MEMBERS DRIVEN BY RANDOM LOADS
✍ A.D. Drozdov πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 266 KB

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 coefficien

ALMOST-SURE STABILITY OF A GYROPENDULUM
ALMOST-SURE STABILITY OF A GYROPENDULUM SUBJECTED TO WHITE-NOISE RANDOM SUPPORT MOTION
✍ S.F. ASOKANTHAN; S.T. ARIARATNAM πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 162 KB

Instability behaviour of a gyropendulum subjected to white noise vertical support motion is examined. Conditions for almost-sure asymptotic stability are obtained explicitly. A stochastic averaging procedure is employed to evaluate the maximal Lyapunov exponent. The sign of this exponent determines

AN ADDITIONAL NOTE ON β€œDYNAMIC STABILITY
AN ADDITIONAL NOTE ON β€œDYNAMIC STABILITY OF COLUMNS SUBJECTED TO FOLLOWER LOADS: A SURVEY” (M. A. LANGTHJEM andY. SUGIYAMA 2000 Journal of Sound and Vibration238, 809–851)
✍ M.J MAURIZI; E.A BAMBILL πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 54 KB

The authors of reference [1] are to be commended for implementing this excellent and useful survey on the dynamics of simple, #exible structural elements subjected to non-conservative forces.