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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.