An analytical solution to non-similar normal modes in a strongly non-linear discrete system

1995 ◽  
Vol 183 (2) ◽  
pp. 361-367 ◽  
Author(s):  
G.S. Happawana ◽  
A.K. Bajaj ◽  
M. Azene
Keyword(s):  
Analytical Solution ◽  
Discrete System ◽  
Normal Modes ◽  
Linear Discrete System ◽  
Non Linear

NORMAL MODES OF A NON-LINEAR CLAMPED–CLAMPED BEAM

2002 ◽  
Vol 250 (2) ◽  
pp. 339-349 ◽  
Author(s):  
W.C. XIE ◽  
H.P. LEE ◽  
S.P. LIM
Keyword(s):  
Normal Modes ◽  
Non Linear

scholarly journals Gaseous Models

1985 ◽  
Vol 113 ◽  
pp. 207-218
Author(s):  
Daiichiro Sugimoto
Keyword(s):  
Statistical Mechanics ◽  
Discrete System ◽  
Non Linear ◽  
Self Gravity

We can understand physics of self-gravitating system in terms of gaseous models in so far that their global natures and effects of self-gravity are concerned. Here summarized what are known in idealized gaseous models. They include gravothermal collapse/expansion in linear and non-linear regimes, and post-collapse evolution with gravothermal oscillation. Also discussed are their relations with discrete system and with treatment in statistical mechanics.

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