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Article information
2003 , Volume 8, ¹ 2, p.27-35
Bodnar T.A.
Numerical analysis of stability of variable stickiness loaded stem
The finite difference method for investigation of the stability of solution of the nonlinear differential equation describing the deformed state by a loaded axial force of an elastic rod of a variable rigidity is considered. The analysis procedure includes the numerical solution of the spectral problem (Euler problem) and the evaluation of the spectral problem of functionals, defining force at which the rod loses the stability, on the eigenvector space. The stability problem of a loaded rod with a rigidity varying according the parabolic law is considered as test.
[full text] Classificator Msc2000:- *74G60 Bifurcation and buckling
- 74S20 Finite difference methods
- 74K10 Rods (beams, columns, shafts, arches, rings, etc.)
Keywords: bifurcation, vector space, rigidity, finite differences method, critical force, eigenvector, eigenvalue, spectrum, spectral problem, elastic rod, stability, elastic rod, spectral problem, finite difference method, Euler problem, eigenvectors, axial load
Author(s):
Bodnar T A
Address: Russia, Biisk
E-mail: bta@bti.secna.ru
Bibliography link:
Bodnar T.A. Numerical analysis of stability of variable stickiness loaded stem // Computational technologies. 2003. V. 8. ¹ 2. P. 27-35
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