Dynamic analysis for axially moving viscoelastic panels

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:49

Article

Saksa, Tytti¹  Banichuk, Nikolay^1,2  Jeronen, Juha¹  Kurki, Matti^1,3  Tuovinen, Tero¹ 

[1] Univ Jyvaskyla, Dept Math Informat Technol, FI-40014 Jyvaskyla, Finland

[2] Inst Problems Mech RAS, Moscow 119526, Russia

[3] JAMK Univ Appl Sci, Sch Technol, FI-40101 Jyvaskyla, Finland

关键词: Moving;    Viscoelastic;    Beam;    Eigenvalues;    Dynamic;    Stability;   

DOI  :  10.1016/j.ijsolstr.2012.07.017

来源: Elsevier

【 摘 要 】

In this study, stability and dynamic behaviour of axially moving viscoelastic panels are investigated with the help of the classical modal analysis. We use the flat panel theory combined with the Kelvin-Voigt viscoelastic constitutive model, and we include the material derivative in the viscoelastic relations. Complex eigenvalues for the moving viscoelastic panel are studied with respect to the panel velocity, and the corresponding eigenfunctions are found using central finite differences. The governing equation for the transverse displacement of the panel is of fifth order in space, and thus five boundary conditions are set for the problem. The fifth condition is derived and set at the in-flow end for clamped-clamped and clamped-simply supported panels. The numerical results suggest that the moving viscoelastic panel undergoes divergence instability for low values of viscosity. They also show that the critical panel velocity increases when viscosity is increased and that the viscoelastic panel does not experience instability with a sufficiently high viscosity coefficient. For the cases with low viscosity, the modes and velocities corresponding to divergence instability are found numerically. We also report that the value of bending rigidity (bending stiffness) affects the distance between the divergence velocity and the flutter velocity: the higher the bending rigidity, the larger the distance. (C) 2012 Elsevier Ltd. All rights reserved.

【 授权许可】

Free