A parametric study of the clustering of modes in the vibration of partially embedded beams

The phenomenon of modal clustering is investigated for any beam which is partially embedded in an elastic Winkler foundation. An exact closed-form solution to the governing equations enables an understanding of the phenomenon to be developed. A specially written computer algorithm allows a parametri...

Full description

Saved in:
Bibliographic Details
Published in:International journal of mechanical sciences 1999-04, Vol.41 (4), p.547-559
Main Authors: West, R.P., Pavlović, M.N.
Format: Article
Language:English
Subjects:
Algorithms
Beam vibration
Elasticity
Foundations
Mathematical models
Natural frequencies
Partial embedment
Structural analysis
Vibrations (mechanical)
Winkler foundation
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The phenomenon of modal clustering is investigated for any beam which is partially embedded in an elastic Winkler foundation. An exact closed-form solution to the governing equations enables an understanding of the phenomenon to be developed. A specially written computer algorithm allows a parametric study to be undertaken from which a series of charts are developed which facilitate the prediction of the existence of clustered modes for a wide range of problems. Trends in natural frequencies are explained and mode shapes are examined where clustering exists.
ISSN:0020-7403
1879-2162
DOI:10.1016/S0020-7403(98)00081-2