Algorithms of solving the matrix equations for deformation mechanics of flexible structures at finite displacements

The algorithms of forming the matrix equations of equilibrium in solving geometrically nonlinear problems are described. These algorithms provide the procedure of solution extension with respect to a parameter, accelerate the convergence process, and permit the solution to be obtained by the most ef...

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Bibliographic Details
Published in:Russian aeronautics 2011-06, Vol.54 (2), p.131-135
Main Author: Gainutdinova, T. Yu
Format: Article
Language:English
Subjects:
Algorithms
Automotive Engineering
Computation
Convergence
Engineering
Flexible structures
Forming
Mathematical analysis
Mathematical models
Nonlinearity
Structural Mechanics and Strength of Flight Vehicles
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Description
Summary:The algorithms of forming the matrix equations of equilibrium in solving geometrically nonlinear problems are described. These algorithms provide the procedure of solution extension with respect to a parameter, accelerate the convergence process, and permit the solution to be obtained by the most efficient way in terms of computational burden.
ISSN:1068-7998
1934-7901
DOI:10.3103/S1068799811020036