DocumentCode
2108902
Title
On the instability of the free elastic rod with non-linear intrinsic viscosity under the action of the follower force
Author
Agafonov, Sergey A. ; Scheglov, Georgy A.
Author_Institution
Dept. of Math. Modeling, Moscow Bauman State Tech. Univ., Russia
fYear
2005
fDate
24-26 Aug. 2005
Firstpage
805
Lastpage
808
Abstract
A homogeneous free viscoelastic rod with constant cross-section is under the action of the follower force which has constant value is considered. It is well-known that for elastic rod the critical value of the follower force is approximately equal to p=109,7 (dimension free value). The main result consists of stability loss at presence of non-linear viscosity. The critical value of the follower force is p=83,1.
Keywords
viscoelasticity; homogeneous free viscoelastic rod; nonlinear intrinsic viscosity; Boundary conditions; Elasticity; Mathematical model; Nonlinear equations; Stability; Vibrations; Viscosity;
fLanguage
English
Publisher
ieee
Conference_Titel
Physics and Control, 2005. Proceedings. 2005 International Conference
Print_ISBN
0-7803-9235-3
Type
conf
DOI
10.1109/PHYCON.2005.1514097
Filename
1514097
Link To Document