Stability of Timoshenko systems with past history

On the Stabilization for Timoshenko System with Past History and Frictional Damping Controls

Abstract. In this paper, we consider vibrating system of Timoshenko type in one-dimensional bounded domain with complementary past history and frictional damping controls acting only in the equation for the rotation angle. We show that the dissipation given by this complementary controls is strong enough to guarantee the stability of the system in case of the same wave propagation speeds as wel...

Mildly dissipative nonlinear Timoshenko systems — global existence and exponential stability

Timoshenko Systems with Indefinite Damping

We consider the Timoshenko system in a bounded domain (0, L) ⊂ R1. The system has an indefinite damping mechanism, i.e. with a damping function a = a(x) possibly changing sign, present only in the equation for the rotation angle. We shall prove that the system is still exponentially stable under the same conditions as in the positive constant damping case, and provided a = ∫ L 0 a(x) dx > 0 and...

The Effect of Romberg Exercise on Falling Episodes of Elderlies With History of Past Fallings

Objectives: To investigate the effect of Romberg exercise on balance improvement in elderly persons, 70 elderly persons with the history of two or more falling during recent 3 months were selected from Kahrizak nursing home in Tehran (38 as cases and 32 as controls). Methods & Materials : Romberg exercise was done in case group every day (45 minute per day and one time each day) for 3 months...

On the stability of Mindlin-Timoshenko plates

We consider a Mindlin-Timoshenko model with frictional dissipations acting on the equations for the rotation angles. We prove that this system is not exponentially stable independent of any relations between the constants of the system, which is different from the analogous’ one-dimensional case. Moreover, we show that the solution decays polynomially to zero, with rates that can be improved de...