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Eigenvalue formulas for the uniform Timoshenko beam: the free-free
problem
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## Eigenvalue formulas for the uniform Timoshenko beam: the free-free
problem

### Bruce Geist and Joyce R. McLaughlin

**Abstract.**
This announcement presents asymptotic formulas for the eigenvalues of a
free-free uniform Timoshenko beam.

*Copyright 1998 American Mathematical Society*

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#### Article Info

- ERA Amer. Math. Soc.
**04** (1998), pp. 12-17
- Publisher Identifier: S 1079-6762(98)00041-9
- 1991
*Mathematics Subject Classification*. Primary 34Lxx;
Secondary 73Dxx
*Key words and phrases*. Timoshenko beam, asymptotic
distribution of eigenvalues, boundary value problems
- Received by the editors January 5, 1998
- Posted on March 20, 1998
- Communicated by Michael Taylor
- Comments (When Available)

**Bruce Geist**

Unisys Corporation, 41100 Plymouth Road, Plymouth, MI 48170

*E-mail address:* `Bruce.Geist@unisys.com`

**Joyce R. McLaughlin**

Department of Mathematical Sciences, Rensselaer Polytechnic
Institute, Troy, NY 12180

*E-mail address:* `mclauj@rpi.edu`

The work of both authors was completed at Rensselaer Polytechnic Institute, and was partially supported by funding from the
Office of Naval Research, grant number N00014-91J-1166. The work of the first author was also partially supported by the
Department of Education fellowship grant number 6-28069. The work of the second author was also partially supported by the
National Science Foundation, grant number DMS-9410700.

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