Effective response of strongly nonlinear composites: Exact results against approximate methods

1997 ◽  
Vol 56 (17) ◽  
pp. 10740-10742 ◽  
Author(s):  
K. W. Yu ◽  
K. P. Yuen
Keyword(s):  
Exact Results ◽  
Approximate Methods ◽  
Effective Response ◽  
Strongly Nonlinear ◽  
Nonlinear Composites

scholarly journals Exact results for weakly nonlinear composites and implications for homogenization methods

2021 ◽  
Vol 348 (10-11) ◽  
pp. 893-909
Author(s):  
Joshua Furer ◽  
Martin Idiart ◽  
Pedro Ponte Castañeda
Keyword(s):  
Exact Results ◽  
Weakly Nonlinear ◽  
Homogenization Methods ◽  
Nonlinear Composites

Comprehensively Efficient Analysis of Nonlinear Wire Scatterers Considering Lossy Ground and Multi-tone Excitations

2020 ◽  
Vol 35 (8) ◽  
pp. 878-886
Author(s):  
Amir Bahrami ◽  
Saeed Ostadzadeh
Keyword(s):  
Harmonic Balance ◽  
Operator Method ◽  
Nonlinear Loads ◽  
Approximate Methods ◽  
Strongly Nonlinear ◽  
Intelligent Water Drops Algorithm ◽  
Water Drops ◽  
Two Stages ◽  
Port Structures ◽  
Arithmetic Operator

In this paper based on intelligent water drops algorithm (IWD), comprehensively nonlinear analysis of nonlinearly loaded wire scatterers are carried out. The analyses involve two stages. First, the problem is modeled as a nonlinear multi-port equivalent circuit and it is then reformulated into an optimization problem which is solved by the IWD. The simulation results are compared with harmonic balance (HB), arithmetic operator method (AOM), approximate methods and experiment. Analysis of the problem under strongly nonlinear loads, presence of lossy ground, multi-port structures, and multi-ton excitations are included to cover all the complex aspects. In one hand, the proposed modeling approach is in excellent agreement with other conventional techniques. On the other hand, the run time is considerably reduced.

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