Istituto di Scienza e Tecnologie dell'Informazione     
Kharenko D., Padovani C., Pagni A., Pasquinelli G., Semin L. Numerical methods for a class of nonlinear hyperbolic problems: a comparative study. Technical report, 2009.
In this paper we consider the problem of the free longitudinal vibrations of a beam made of a bimodular material, i.e. an elastic material whose in-tension Young's modulus is a fraction of that under compression. After recalling the exact solutions for an ifinite beam and for a beam with fixed ends calculated via the characteristics method, we apply high-resolution methods based on the finite-element approach to solve the nonliner equation of the motion. In particular, we compare the exact solutions with the numerical solutions calculated using the space-time element method, the collocation and least-squares method, as well as TVD and Newmark methods.
Subject Bimodular material
Nonlinear dynamics
Exact solutions
J.2 Physical Sciences and Engineering
35L15 Initial value problems for second-order, hyperbolic equations
35L67 Shocks and singularities
74B20 Nonlinear elasticity
74H05 Explicit solutions
74H15 Numerical approximation of solutions
74S05 Finite element methods
74S20 Finite difference methods

Icona documento 1) Download Document PDF

Icona documento Open access Icona documento Restricted Icona documento Private


Per ulteriori informazioni, contattare: Librarian http://puma.isti.cnr.it

Valid HTML 4.0 Transitional