Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/16894
Title: Numerical evaluation of high-order modes for stepped beam
Authors: Xu, W
Cao, M
Ren, Q
Su, Z 
Keywords: Euler-Bernoulli theory
High-order mode
Local coordinate system
Numerical evaluation
Stepped beam
Issue Date: 2014
Publisher: American Society of Mechanical Engineers
Source: Journal of vibration and acoustics, 2014, v. 136, no. 1, 14503 How to cite?
Journal: Journal of vibration and acoustics 
Abstract: The numerical evaluation of high-order modes of a uniform Euler-Bernoulli beam has been studied by reformatting the classical expression of mode shapes. That method, however, is inapplicable to a stepped beam due to the nonuniform expressions of the mode shape for each beam segment. Given that concern, this study develops an alternative method for the numerical evaluation of high-order modes for stepped beams. This method effectively expands the space of high-order modal solutions by introducing local coordinate systems to replace the conventional global coordinate system. This set of local coordinate systems can significantly simplify the frequency determinant of vibration equations of a stepped beam, in turn, largely eliminating numerical round-off errors and conducive to high-order mode evaluation. The efficacy of the proposed scheme is validated using various models of Euler-Bernoulli stepped beams. The principle of the method has the potential for extension to other types of Euler-Bernoulli beams with discontinuities in material and geometry. (The Matlab code for the numerical evaluation of high-order modes for stepped beams can be provided by the corresponding author upon request.).
URI: http://hdl.handle.net/10397/16894
ISSN: 1048-9002
EISSN: 1528-8927
DOI: 10.1115/1.4025696
Appears in Collections:Journal/Magazine Article

Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

3
Last Week
0
Last month
0
Citations as of Aug 19, 2017

WEB OF SCIENCETM
Citations

4
Last Week
0
Last month
0
Citations as of Aug 21, 2017

Page view(s)

42
Last Week
4
Last month
Checked on Aug 21, 2017

Google ScholarTM

Check

Altmetric



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.