In-plane vibrations of shear deformable curved beams

Citation
M. Eisenberger et E. Efraim, In-plane vibrations of shear deformable curved beams, INT J NUM M, 52(11), 2001, pp. 1221-1234
Citations number
15
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN journal
00295981 → ACNP
Volume
52
Issue
11
Year of publication
2001
Pages
1221 - 1234
Database
ISI
SICI code
0029-5981(200112)52:11<1221:IVOSDC>2.0.ZU;2-5
Abstract
This paper presents the exact dynamic stiffness matrix for a circular beam with a uniform cross-section. The stiffness matrix is frequency dependent, and the natural frequencies are those that cause the matrix to become singu lar. Using this matrix the exact natural frequencies of circular beams with various boundary conditions are calculated and compared with available res ults in the literature. Copyright (C) 2001 John Wiley & Sons, Ltd.