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One is based on classical linear reconstruction techniques, such as backprojection [6, 7] and direct Fourier reconstruction [8, 9].
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The mathematical model, based on classical beam theories and linear non-proportional interface laws, proposed previously by the authors, is considered.
Finally, an experimental criterion for chaotic motion, and an heuristic criterion based on classical methods in non-linear dynamics are also obtained and compared with the bifurcation criteria, as a function of forcing amplitude and frequency.
The approach we focus on in this paper is a straightforward method developed by Mee and Chua [ 12] based on classical t-test statistics and a linear regression model.
The paper presents a new framework for the design of controllers for highly non-linear systems, the framework is based on classical state space control theory combined with a non-linear finite element model and a non-linear optimization scheme for identification of the feed-back gain factors.
Also some linear and nonlinear analysis with different thickness-to-radius ratios is carried out based on classical plate theory (CPT and FSDTtoto consider the effect of shear deformation and nonlinearity on the results.
"My jazz is based on classical training".
Analysis is based on classical theory.
Classical Zermelo-Fraenkel set theory is based on classical first-order predicate logic with equality.
Our results are based on classical fixed point index theory.
We provide an analysis based on classical slip flow model.
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