About Verification of Correct Wavelet-Based Approach to Local Static Analysis of Bernoulli Beam

Pavel A. Akimov; Mojtaba Aslami

doi:10.4028/www.scientific.net/AMM.580-583.3013

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 580-583About Verification of Correct Wavelet-Based...

About Verification of Correct Wavelet-Based Approach to Local Static Analysis of Bernoulli Beam

Abstract:

This paper is devoted to verification of correct and efficient wavelet-based method of local static analysis of Bernoulli beam on elastic foundation, proposed by authors. Corresponding results for sample problem have been compared with analytical solutions. Comparison shows that the localization of the problem with reducing its size by proposed method provide high-accuracy results for desired regions of the structure even in high level of reduction in wavelet coefficients. It should be noted that, the wavelet analysis can exactly decompose problem and the sources of the observed error between the analytical solution and numerical result, is based mainly on applied method for solving (in this case, finite difference method), and can be improved.

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Periodical:

Applied Mechanics and Materials (Volumes 580-583)

Pages:

3013-3016

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.580-583.3013

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Online since:

July 2014

Authors:

Pavel A. Akimov, Mojtaba Aslami

Keywords:

Analytical Solution, Bernoulli Beam, Boundary Problem, Discrete Wavelet, Haar Basis, Local Structural Analysis, Static Analysis, Verificarion, Wavelet-Based Methods

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References

[1] Akimov P.A., Mojtaba Aslami. Theoretical Foundations of Correct Wavelet-Based Approach to Local Static Analysis of Bernoulli Beam. / Accepted by the Scientific Committee of CEABM 2014 and will be published in journal Applied Mechanics and Materials.

DOI: 10.4028/www.scientific.net/amm.580-583.2924

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