Bounds for the critical load of certain elastic systems under follower forces

AIAA Journal ◽  
1976 ◽  
Vol 14 (5) ◽  
pp. 690-692 ◽  
Author(s):  
C. Sundararajan
Keyword(s):  
Critical Load ◽  
Elastic Systems ◽  
Follower Forces

Stability of elastic systems under follower forces

AIAA Journal ◽  
1992 ◽  
Vol 30 (3) ◽  
pp. 767-771 ◽  
Author(s):  
Lien-Wen Chen ◽  
Der-Ming Ku
Keyword(s):  
Elastic Systems ◽  
Follower Forces

scholarly journals On the Destabilizing Effect of Damping in Nonconservative Elastic Systems

1965 ◽  
Vol 32 (3) ◽  
pp. 592-597 ◽  
Author(s):  
G. Herrmann ◽  
Ing-Chang Jong
Keyword(s):  
Critical Load ◽  
Characteristic Equation ◽  
Elastic System ◽  
Viscous Damping ◽  
Stability Criteria ◽  
Elastic Systems ◽  
The Stability ◽  
Proper Interpretation ◽  
Degree Of Instability

The destabilizing effect of linear viscous damping in a nonconservative elastic system is investigated by studying the roots of the characteristic equation in addition to the stability criteria and by introducing the concept of degree of instability. A generic relationship between critical loadings for no damping and for slight damping as well as vanishing damping is established. It is found that while the presence of small damping may have a destabilizing effect, proper interpretation of the limiting process of vanishing damping leads to the same critical load as for no damping.

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