2004 Conference on Diff. Eqns. and Appl. in Math. Biology, Nanaimo,
BC, Canada.
Electron. J. Diff. Eqns., Conference 12, 2005, pp. 5764.
On the isospectral beams
Kazem Ghanbari
Abstract:
The free undamped infinitesimal transverse vibrations of a thin
straight beam are modelled by a forthorder differential
equation. This paper investigates the families of
fourthorder systems which have one spectrum in common,
and correspond to four different sets of endconditions. The
analysis is based on the transformation of the beam operator into
a fourthorder selfadjoint linear differential operator. This
operator is factorized as a product
,
where
is a secondorder differential operator of the form
,
and
is its adjoint operator.
Published April 20, 2005.
Math Subject Classifications: 34B05,34B10.
Key Words: Isospectral, EulerBernoulli equation for the vibrating beam,
beam operator.
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Kazem Ghanbari
Department of Mathematics
Sahand University of Technology
Tabriz, Iran
email: kghanbari@sut.ac.ir

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