A NEW APPROACH TO SOLVING A TYPE OF VIBRATION PROBLEM

Authors
XU M CHENG D
Citation
M. Xu et D. Cheng, A NEW APPROACH TO SOLVING A TYPE OF VIBRATION PROBLEM, Journal of sound and vibration, 177(4), 1994, pp. 565-571
Citations number
4
Categorie Soggetti
Acoustics
Journal title
Journal of sound and vibration → ACNP
ISSN journal
0022460X
Volume
177
Issue
4
Year of publication
1994
Pages
565 - 571
Database
ISI
SICI code
0022-460X(1994)177:4<565:ANATSA>2.0.ZU;2-7
Abstract
The integral equation and the additional algebraic equations of the vi bration of beams with elastic supports and elastically mounted concent rated masses are established. By applying integral equation theory, th e frequency equation is derived in terms of the standard eigenvalue pr oblem of a matrix and calculated numerically. This method converges qu ickly. The frequencies and mode shapes to any predetermined accuracy c an be obtained theoretically.