Analyze on a Coupled Beam Vibration System by FEM (I): Theory

Juan Juan Wen; Li Yun Yi

doi:10.4028/www.scientific.net/AMR.933.281

Paper Titles

Study on Dynamic Slotting Optimization in Storage System
p.260

A Mechanical Analysis of BHA Used in Casing-Window-Milling for Sidetracking
p.265

Research on Mechanical Properties and Structural Optimum Design of Aluminum Sheets-with-Ribs
p.272

Literature Review of Studies on Self-Centering Bridge Pier Joint
p.276

Analyze on a Coupled Beam Vibration System by FEM (I): Theory
p.281

Analyze on a Coupled Beam Vibration System by FEM (II): Case Study
p.285

Equilibrium State of Football Players Affected by Disturbance
p.291

Research on the Process of Liquid Droplet Impinging on the Liquid Film
p.295

Experimental Investigations for Compression-Flexure Characters of Laminated Box Beam Columns
p.300

HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 933Analyze on a Coupled Beam Vibration System by FEM...

Analyze on a Coupled Beam Vibration System by FEM (I): Theory

Abstract:

An approach based on finite element analysis is presented to analyze the free vibration of coupled beams with spring-mass attachments. The equation of motion of the beam system with attachments is established by conventional finite element method. The natural frequencies and the associated mode shapes are obtained from the generalized eigenvalue problem. It is found that the results from the proposed method agree well with those from analytical methods in the literature.

You might also be interested in these eBooks

Manufacture Engineering, Quality and Production System III

View Preview

Info:

Periodical:

Advanced Materials Research (Volume 933)

Pages:

281-284

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.933.281

Citation:

Cite this paper

Online since:

May 2014

Authors:

Juan Juan Wen*, Li Yun Yi

Keywords:

Coupled Beam, Finite Element Method (FEM), Theoretical Analysis, Vibration Analysis

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] Bendiksen: Localization phenomenon in structural dynamics, Chaos. Solitons and Fractals Vol. 11, pp.1621-1660, (2000).

DOI: 10.1016/s0960-0779(00)00013-8

Google Scholar

[2] K.T. Chan, T.P. Leung, and W.O. Wong: Free vibration of simply supported beam partially loaded with distributed mass, Journal of Sound and Vibration Vol. 191, pp.590-597, (1996).

DOI: 10.1006/jsvi.1996.0143

Google Scholar

[3] K.T. Chan, X.Q. Wang: Free vibration of a Timoshenko beam partially loaded with distributed mass, Journal of Sound and Vibration Vol. 206, pp.353-369, (1997).

DOI: 10.1006/jsvi.1997.1124

Google Scholar

[4] D.W. Chen, J.S. Wu: The exact solutions for the natural frequencies and mode shapes of non-uniform beams with multiple spring-mass systems, Journal of Sound and Vibration Vol. 255, pp.299-322, (2002).

DOI: 10.1006/jsvi.2001.4156

Google Scholar

[5] P.T. Chen, J.H. Ginsberg: On the relationship between veering of eigenvalue loci and parameter sensitivity of eigenfunctions, J. Vib. Acoustics, Trans. ASME Vol. 114, pp.141-148, (1992).

DOI: 10.1115/1.2930242

Google Scholar

[6] M. Gurgoze, H. Batan: On the effect of an attached spring-mass system on the frequency spectrum of a cantilever beam, Journal of Sound and Vibration Vol. 195, pp.163-168, (1996).

DOI: 10.1006/jsvi.1996.0413

Google Scholar

[7] Y. W. Kwon, H. Bang, in: The Finite Element Method Using Matlab, CRC press, Version 1.

Google Scholar

[8] H.Y. Lin, Y.C. Tsai: Free vibration analysis of a uniform multi-span beam carrying multiple spring-mass systems, Journal of Sound and Vibration Vol. 302, pp.442-456, (2007).

DOI: 10.1016/j.jsv.2006.06.080

Google Scholar

[9] K.H. Low: A modified Dunkerley formula fro eigenfrequencies of beams carrying concentrated masses, International Journal of Mechanical Sciences Vol. 42, pp.1287-1305, (2003).

DOI: 10.1016/s0020-7403(99)00049-1

Google Scholar

[10] K.H. Low: Natural frequencies of a beam-mass system in transverse vibration: Rayleigh estimation versus eigenanalysis solutions, International Journal of Mechanical Sciences Vol. 45, pp.981-993, (2003).

DOI: 10.1016/j.ijmecsci.2003.09.009

Google Scholar