Hiroshima Mathematical Journal

On the construction and investigation of hierarchic models for elastic rods

Mariam Avalishvili

Full-text: Open access

Abstract

In the present paper static and dynamical one-dimensional models for elastic rods are constructed. The existence and uniqueness of solutions to the corresponding boundary and initial boundary value problems are proved, the rate of approximation of the solutions to the original three-dimensional problems by vector-functions restored from the solutions of one-dimensional problems is estimated.

Article information

Source
Hiroshima Math. J., Volume 36, Number 3 (2006), 365-386.

Dates
First available in Project Euclid: 13 February 2007

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1171377079

Digital Object Identifier
doi:10.32917/hmj/1171377079

Mathematical Reviews number (MathSciNet)
MR2290663

Zentralblatt MATH identifier
1378.74037

Subjects
Primary: 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) 65M60: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods 74K10: Rods (beams, columns, shafts, arches, rings, etc.)

Keywords
Boundary and initial boundary value problems for elastic rod Fourier-Legendre series modelling error estimation

Citation

Avalishvili, Mariam. On the construction and investigation of hierarchic models for elastic rods. Hiroshima Math. J. 36 (2006), no. 3, 365--386. doi:10.32917/hmj/1171377079. https://projecteuclid.org/euclid.hmj/1171377079


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