Correct Indirect Discrete-Continual Boundary Element Method of Structural Analysis

Pavel A. Akimov

doi:10.4028/www.scientific.net/AMR.671-674.1614

Paper Titles

Lateral Buckling Analysis for Rectangular Cantilever Plate Subjected to a Concentrated Loads
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Lateral Buckling Studied of Rectangular Plate with Two Opposite Edges Clamped under the Action of a Concentrated Loads
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Element Bearing Ratio Based Integral Safety Evaluation of Penstocks
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Stability of Implicit Midpoint Algorithm Applied to Structures with Nonlinear Damping
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Correct Indirect Discrete-Continual Boundary Element Method of Structural Analysis
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Some Properties for a System with Dense Orbits
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Simulation of Dust Control in Coal Mining
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A TF-Contractive Fixed Point Theorem in a General Metric Space
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The Static Test Study on Anchors of CFRP Cables
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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 671-674Correct Indirect Discrete-Continual Boundary...

Correct Indirect Discrete-Continual Boundary Element Method of Structural Analysis

Abstract:

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)

Pages:

1614-1618

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.671-674.1614

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Online since:

March 2013

Authors:

Pavel A. Akimov

Keywords:

Boundary Element Method (BEM), Boundary Problem, Correct Discrete-Continual Method, Distribution, Indirect Approach, Pseudodifferential Operator, Structural Analysis

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References

[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).

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[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: 10.4028/www.scientific.net/amm.204-208.4502

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