Optimization of geometrically non-linear symmetric systems with coincident critical points

2000 ◽  
Vol 48 (9) ◽  
pp. 1345-1357 ◽  
Author(s):  
Makoto Ohsaki
Keyword(s):  
Critical Points ◽  
Non Linear ◽  
Symmetric Systems

Phase transitions of some non-linear stochastic models

1995 ◽  
Vol 32 (01) ◽  
pp. 193-201
Author(s):  
Shui Feng
Keyword(s):  
Phase Transitions ◽  
Explicit Expression ◽  
Critical Points ◽  
Stochastic Models ◽  
Domain Of Attraction ◽  
Rates Of Convergence ◽  
Non Linear

A class of non-linear stochastic models is introduced. Phase transitions, critical points and the domain of attraction are discussed in detail for some concrete examples. For one of the examples the explicit expression for the domain of attraction and the rates of convergence are obtained.

Non-Linear Normal Modes in Dynamics - Discrete Systems

2016 ◽  
Vol 821 ◽  
pp. 254-265
Author(s):  
Jiří Náprstek ◽  
Cyril Fischer
Keyword(s):  
Linear Theory ◽  
Dynamic Systems ◽  
Vibrational Energy ◽  
Normal Modes ◽  
Discrete Systems ◽  
Linear Dynamic ◽  
Mdof Systems ◽  
Non Linear ◽  
Dynamic Phenomena ◽  
Symmetric Systems

The aim of the paper is to inform about main features of Non-linear Normal Modes (NNM) as a powerful tool for investigation of multi-degree of freedom (MDOF) dynamic systems. In particular, it is shown how this concept can be used to investigate forced resonances of non-linear symmetric systems including non-linear localization of vibrational energy. NNMs can provide a valuable tool for understanding essentially non-linear dynamic phenomena having no counterparts in linear theory and which do not enable analysis using linearized procedures. Discrete MDOF systems are considered in this study. A couple of possible approaches are outlined together with some demonstrations of numerical results.

Phase transitions of some non-linear stochastic models

1995 ◽  
Vol 32 (1) ◽  
pp. 193-201
Author(s):  
Shui Feng
Keyword(s):  
Phase Transitions ◽  
Explicit Expression ◽  
Critical Points ◽  
Stochastic Models ◽  
Domain Of Attraction ◽  
Rates Of Convergence ◽  
Non Linear

A class of non-linear stochastic models is introduced. Phase transitions, critical points and the domain of attraction are discussed in detail for some concrete examples. For one of the examples the explicit expression for the domain of attraction and the rates of convergence are obtained.

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