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On the mathematical model of a viscoelastic bar
Author(s) -
Takači Arpad,
Takači Djurdjica
Publication year - 2007
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.864
Subject(s) - mathematics , viscoelasticity , character (mathematics) , bar (unit) , operator (biology) , base (topology) , nonlinear system , field (mathematics) , construct (python library) , calculus (dental) , mathematical analysis , pure mathematics , geometry , computer science , physics , gene , transcription factor , thermodynamics , programming language , medicine , biochemistry , chemistry , dentistry , repressor , quantum mechanics , meteorology
In this paper we consider a mathematical model describing the shock of a rigid body and a linear viscoelastic bar, resting on a rigid base, in the frames of the Mikusiński operator calculus. We determine and analyse the character of the exact solution of the corresponding problem in the field of Mikusiński operators. We construct an approximate solution of this problem, and estimate the error of approximation. The mentioned problem is taken from the papers ( J. Mech. NCSR Vietnam Tom 1991; 13 (2):1–7; Nonlinear Anal. Theory Meth. Appl. 2001; 43 :547–561). Copyright © 2007 John Wiley & Sons, Ltd.