Asymptotic formulas for the eigenvalues of the Timoshenko beam

Authors
Geist, B McLaughlin, JR
Citation
B. Geist et Jr. Mclaughlin, Asymptotic formulas for the eigenvalues of the Timoshenko beam, J MATH ANAL, 253(2), 2001, pp. 341-380
Citations number
24
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
253
Issue
2
Year of publication
2001
Pages
341 - 380
Database
ISI
SICI code
0022-247X(20010115)253:2<341:AFFTEO>2.0.ZU;2-C
Abstract
Asymptotic formulas are derived for the eigenvalues of a free-ended Timoshe nko beam which has variable mass density and constant beam parameters other wise. These asymptotic formulas show how the eigenvalues land hence how the natural frequencies) of such a beam depend on the material and geometric p arameters which appear as coefficients in the Timoshenko differential equat ions.(C) 2000 Academic Press.