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**Harvard**

Billger, D. och Folkow, P. (2003) *Wave propagators for the Timoshenko beam*.

** BibTeX **

@article{

Billger2003,

author={Billger, Dag V. J. and Folkow, Peter D.},

title={Wave propagators for the Timoshenko beam},

journal={Wave motion},

issn={0165-2125},

volume={37},

issue={4},

pages={313-332},

abstract={The propagation and scattering of waves on the Timoshenko beam are investigated by using the method of wave propagators. This method is more general than the scattering operators connected to the imbedding and Green function approaches; the wave propagators map the incoming field at an internal position onto the scattering fields at any other internal position of the scattering region. This formalism contains the imbedding method and Green function approach as special cases. Equations for the propagator kernels are derived, as are the conditions for their discontinuities. Symmetry requirements on certain coupling matrices originating from the wave splitting are considered. They are illustrated by two specific examples. The first being an unrestrained beam with a varying cross-section and the other a homogeneous, viscoelastically restrained beam. A numerical algorithm for solving the equations for the propagator kernels is described. The algorithm is tested for the case of a viscoelastically restrained, homogeneous beam. In a limit these results agree with the ones obtained for the reflection kernel by a previously developed algorithm for the imbedding reflection equation.},

year={2003},

keywords={time-domain, transient waves, periodic media, forerunners},

}

** RefWorks **

RT Journal Article

SR Electronic

ID 170244

A1 Billger, Dag V. J.

A1 Folkow, Peter D.

T1 Wave propagators for the Timoshenko beam

YR 2003

JF Wave motion

SN 0165-2125

VO 37

IS 4

SP 313

OP 332

AB The propagation and scattering of waves on the Timoshenko beam are investigated by using the method of wave propagators. This method is more general than the scattering operators connected to the imbedding and Green function approaches; the wave propagators map the incoming field at an internal position onto the scattering fields at any other internal position of the scattering region. This formalism contains the imbedding method and Green function approach as special cases. Equations for the propagator kernels are derived, as are the conditions for their discontinuities. Symmetry requirements on certain coupling matrices originating from the wave splitting are considered. They are illustrated by two specific examples. The first being an unrestrained beam with a varying cross-section and the other a homogeneous, viscoelastically restrained beam. A numerical algorithm for solving the equations for the propagator kernels is described. The algorithm is tested for the case of a viscoelastically restrained, homogeneous beam. In a limit these results agree with the ones obtained for the reflection kernel by a previously developed algorithm for the imbedding reflection equation.

LA eng

DO 10.1016/S0165-2125(02)00094-X

LK http://publications.lib.chalmers.se/records/fulltext/170244/local_170244.pdf

LK http://dx.doi.org/10.1016/S0165-2125(02)00094-X

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