Modification of the Local Variation Method to Minimize the Functionals of the Elasticity Theory

Muaed M. Oshkhunov; Madina A. Dzhankulaeva; Fatima M. Nakhusheva; Maria M. Tkabisimova

doi:10.4028/www.scientific.net/MSF.931.174

Paper Titles

Numerical Analysis of the Exact Solution of the Wave Equation of the Longitudinal Seismic Oscillations of Soil and the Construction as a Point Insertion
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Numerical Study of the Acoustic Efficiency of Sound-Absorbing Structures with Resonators of Various Forms
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Building Structures Thermal Calculation
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One Example of Comparison between the Efficiency of Two Approaches to Differential Equations Computational Solution
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Modification of the Local Variation Method to Minimize the Functionals of the Elasticity Theory
p.174

Vibration-Based Damage Detection Techniques for Health Monitoring of Construction of a Multi-Storey Building
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An Analogue of Smirnov's Theorem in Spaces of the Functions which are Inductive Limits of some Hölder Spaces
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Comparative Analysis of Methods for Calculating Cold-Formed Steel Structures
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The Influence of the Characteristics of the Structural System on the Results of the Calculation of High-Rise Building on Seismic Action
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HomeMaterials Science ForumMaterials Science Forum Vol. 931Modification of the Local Variation Method to...

Modification of the Local Variation Method to Minimize the Functionals of the Elasticity Theory

Abstract:

In this paper a modification of the local variation method for minimizing the elasticity functionals, which reduces the counting time when varying them with small steps is proposed. Example of the solution of the inverse problem of the theory of elasticity by the finite element method is given. The problem of finding the elastic characteristics of a three-layer cable insulation, in which the annular stresses and deformations practically do not vary radially, is solved.

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Periodical:

Materials Science Forum (Volume 931)

Pages:

174-177

DOI:

https://doi.org/10.4028/www.scientific.net/MSF.931.174

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Online since:

September 2018

Authors:

Muaed M. Oshkhunov*, Madina A. Dzhankulaeva, Fatima M. Nakhusheva, Maria M. Tkabisimova

Keywords:

Acceleration of Convergence with Minimization of the Functional, Finite Element Method (FEM), Inverse Problems in the Theory of Elasticity, Method of Local Variations

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References

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