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In‐plane vibrations of shear deformable curved beams
Author(s) -
Eisenberger Moshe,
Efraim Elia
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.246
Subject(s) - vibration , stiffness , beam (structure) , matrix (chemical analysis) , shear (geology) , structural engineering , boundary value problem , stiffness matrix , plane (geometry) , boundary (topology) , section (typography) , natural frequency , mathematics , geometry , mathematical analysis , physics , engineering , materials science , acoustics , computer science , composite material , operating system
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 singular. Using this matrix the exact natural frequencies of circular beams with various boundary conditions are calculated and compared with available results in the literature. Copyright © 2001 John Wiley & Sons, Ltd.