Dynamic Stability of Axially Loaded Nonlocal Rod on Generalized Pasternak Foundation

2017 ◽  
Vol 143 (5) ◽  
Author(s):  
Dušan Zorica ◽  
Teodor M. Atanacković ◽  
Zora Vrcelj ◽  
Branislava Novaković
Keyword(s):  
Dynamic Stability ◽  
Pasternak Foundation ◽  
Axially Loaded

Vibration, Buckling and Dynamic Stability of a Non-Uniform Cantilever Plate With Thermal Gradient Resting on a Pasternak Foundation

1995 ◽  
Author(s):  
Kazuo Takahashi ◽  
Hisaaki Furutani
Keyword(s):  
Dynamic Stability ◽  
Thermal Gradient ◽  
Harmonic Balance Method ◽  
Pasternak Foundation ◽  
Cantilever Plate ◽  
Small Deflection ◽  
Parametric Resonances ◽  
Uniform Cross Section ◽  
Time Variables ◽  
Deflection Theory

Abstract The dynamic stability of a non-uniform rectangular cantilever plate on a Pasternak foundation under the action of a pulsating inplane load is reported in this paper. The small deflection theory of the thin plate is used Hamilton’s principle is used to derive the time variables while the dynamic stability is solved by the harmonic balance method. Natural frequencies and buckling properties are presented at first. Then, regions of instability which contain simple parametric resonances and combination resonances are discussed for various parameters of a Pasternak foundation, non-uniform cross section and thermal gradient.

Dynamic stability of axially loaded columns subjected to stochastic excitations.

AIAA Journal ◽  
1968 ◽  
Vol 6 (8) ◽  
pp. 1515-1521 ◽  
Author(s):  
JOHN A. LEPORE ◽  
HARESH C. SHAH
Keyword(s):  
Dynamic Stability ◽  
Stochastic Excitations ◽  
Axially Loaded
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