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

Pavel A. Akimov

doi:10.4028/www.scientific.net/AMM.204-208.4502

Paper Titles

Numerical Analysis for Bolt Length Based on the Stress Response of Anchorage Surrounding Rock
p.4481

A Novel Numerical Method for Computing Stress Intensity Factors
p.4486

The Effect of Boundary Conditions on Simulation of Horizontally Homogeneous Atmospheric Boundary Layer
p.4490

Identification Method Research of Elastic Buckling Load of the Compressed Beam at Two Ends Elastic Fixed
p.4495

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
p.4502

Asymptotic Stability for an Impulsive Model of Hematopoiesis with Time Delay
p.4506

Damping of Stay Cable-Passive Damper System with Effects of Cable Bending Stiffness and Damper Stiffness
p.4513

Time-Domain Dynamic Analysis for Dynamic Positioning System of Deepwater Semi-Submersible
p.4518

Outline of Electromagnetic Damper and Further Research on Theoretical Model
p.4523

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 204-208Correct Discrete-Continual Finite Element Method...

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

Abstract:

The distinctive paper is devoted to correct discrete-continual finite element method (DCFEM) of structural analysis based on precise analytical solutions of resulting multipoint boundary problems for systems of ordinary differential equations with piecewise-constant coefficients. Corresponding semianalytical (discrete-continual) formulations are contemporary mathematical models which currently becoming available for computer realization. Major peculiarities of DCFEM include uni-versality, computer-oriented algorithm involving theory of distributions, computational stability, optimal conditionality of resulting systems and partial Jordan decompositions of matrices of coeffi-cients, eliminating necessity of calculation of root vectors.

You might also be interested in these eBooks

Progress in Industrial and Civil Engineering

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 204-208)

Pages:

4502-4505

DOI:

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

Citation:

Cite this paper

Online since:

October 2012

Authors:

Pavel A. Akimov

Keywords:

Analytical Solution, Discrete-Continual Finite Element Method, Multipoint Boundary Problem, Piecewise-Constant Coefficients, Structural Analysis, Systems of Ordinary Differential Equations

Export:

RIS, BibTeX

Price:

Permissions:

Request Permissions

References

[1] Akimov P.A., Sidorov V.N.: Correct Method of Analytical Solution of Multipoint Boundary Problems of Structural Analysis for Systems of Ordinary Differential Equations with Piecewise Constant Coefficients. Advanced Materials Research Vols. 250-253, 2011, pp.3652-3655.

DOI: 10.4028/www.scientific.net/amr.250-253.3652

Google Scholar

[2] Zolotov A.B., Akimov P.A., Sidorov V.N.: Correct Discrete-Continual Finite Element Method for Three-Dimensional Problems of Structural Analysis. Journal of Beijing University of Civil Engineering and Architecture. Vol. 25, No. 2, Jun. (2009).

DOI: 10.1016/j.proeng.2014.12.004

Google Scholar