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A wavelet semidiscretisation of elastic multibody systems
Author(s) -
Díaz J.,
Führer C.
Publication year - 2003
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310066
Subject(s) - ansatz , galerkin method , discretization , finite element method , eigenfunction , wavelet , ordinary differential equation , partial differential equation , mathematics , mathematical analysis , connection (principal bundle) , discontinuous galerkin method , differential equation , physics , computer science , geometry , mathematical physics , eigenvalues and eigenvectors , quantum mechanics , artificial intelligence , thermodynamics
In this paper we consider a coupled system of elastic and rigid bodies. It can be mathematically formulated as a coupled system of ordinary and partial differential equations, often written in its weak form. The discretisation is performed by a Galerkin‐type ansatz in connection with a finite element approach or known eigenfunctions. Here, we demonstrate instead the use of a recently published Galerkin‐wavelet method and its application to obtain a reasonable small number of elastic modes.