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The fatigue life was obtained by an approximation function, and the optimum design was verified by fatigue tests considering durability and validity.
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Analytical PID controller tuning rules are proposed by a correct approximation function using desired closed-loop response technique.
For a qualitative calculation, without loss of generality, we may also assume that a ( x, t ) and f → are sufficiently smooth, otherwise we replace them by their approximation functions.
An uncertainty bound of the approximation function is also produced by the scheme.
In this section, fuzzy approximation function by means of shifted Jacobi polynomials is derived.
This paper presents an aerodynamic shape optimization (ASO) algorithm based on the idea of replacing some of the CFD evaluations by those provided by an approximation model known as "Radial Basis Functions" RBF.
The proposed approximation function has been checked by numerical models, and its good accuracy has been proven.
This method relaxes the non-differentiability of the L1-norm by a sequence of smooth approximation functions.
Performance evaluation is carried out by a function approximation, four benchmark datasets and a case study on engineering application.
The proposed Gaussian function generator based on the new approximation function allows to extend its capability of generating any continuous mathematical functions, this feature being obtained by changing the approximation function coefficients.
They are distinguished by order of the approximation functions used in the mechanical displacements field.
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