Correct Indirect Discrete-Continual Boundary Element Method of Structural Analysis

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This paper is devoted to so-called indirect discrete-continual boundary element method of structural analysis. Operational formulation of the problem is given. Using fundamental operational relations of indirect 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 so-called 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:

Advanced Materials Research (Volumes 671-674)

Edited by:

Yong Huang, Tai Bao and Hong Wang

Pages:

1614-1618

Citation:

P. A. Akimov, "Correct Indirect Discrete-Continual Boundary Element Method of Structural Analysis", Advanced Materials Research, Vols. 671-674, pp. 1614-1618, 2013

Online since:

March 2013

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$41.00

[1] Zolotov A.B., Akimov P.A., Sidorov V.N., Mozgaleva M.L.: Discrete-continual methods of structural analysis. Moscow, Architecture – S, 2010, 336 pages (in Russian).

[2] Akimov P.A.: Correct Discrete-Continual Finite Element Method of Structural Analysis Based on Precise Analytical Solutions of Resulting Multipoint Boundary Problems for Systems of Ordinary Differential Equations. Applied Mechanics and Materials Vols. 204-208 (2012).

DOI: https://doi.org/10.4028/www.scientific.net/amm.204-208.4502