Correct Direct Discrete-Continual Boundary Element Method of Structural Analysis

Pavel A. Akimov

doi:10.4028/www.scientific.net/AMM.395-396.529

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 395-396Correct Direct Discrete-Continual Boundary Element...

Correct Direct Discrete-Continual Boundary Element Method of Structural Analysis

Abstract:

This paper is devoted to so-called direct discrete-continual boundary element method of structural analysis. Operational formulation of the problem is given. Using fundamental operational relations of direct approach after construction of corresponding fundamental matrix-function in a special form convenient for problems of structural mechanics and its application resolving set of differential equations with operational coefficients is obtained. The discrete-continual design model for structures with constant physical and geometrical parameters in one direction is offered on the basis of discrete-continual boundary elements. Basic pseudodifferential operators are approximated discretely by Fourier series. Fourier transformations and Wavelet analysis can be applied as well.

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Periodical:

Applied Mechanics and Materials (Volumes 395-396)

Pages:

529-532

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.395-396.529

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Online since:

September 2013

Authors:

Pavel A. Akimov

Keywords:

Boundary Element Method (BEM), Boundary Problem, Correct Discrete-Continual Methods, Direct Approach, Distribution, Pseudodifferential Operators, Structural Analysis

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References

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