A linear two-degree-of-freedom system with slight viscous damping and subjected to nonconservative loading is analyzed with the aim of studying the effects of damping on stability of equilibrium. It is found that, in such systems, multiple ranges of stability and instability may exist in a richer variety than in corresponding systems without damping. Further, for certain systems, instability either by divergence (static buckling) or by flutter may occur first as the compressive load increases, depending upon the ratio of the damping coefficients in the two degrees of freedom. It is shown finally that systems exist for which the destabilizing effect of slight viscous damping cannot be removed completely whatever the ratio of the (positive) damping coefficients.
On Nonconservative Stability Problems of Elastic Systems With Slight Damping
The Technological Institute, Northwestern University, Evanston, Ill.
I. C. Jong
Department of Civil Engineering, The Technological Institute, Northwestern University, Evanston, Ill.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Herrmann, G., and Jong, I. C. (March 1, 1966). "On Nonconservative Stability Problems of Elastic Systems With Slight Damping." ASME. J. Appl. Mech. March 1966; 33(1): 125–133. https://doi.org/10.1115/1.3624969
Download citation file:
- Ris (Zotero)
- Reference Manager
Get Email Alerts
Thermal Expansion Induced Neutrality of a Circular and an Annular Elastic Inhomogeneity
J. Appl. Mech (December 2019)