Non-Dimensional Vibration of Timoshenko Beams with Axial Loads

Yi Zhang; Li Chen; Guo Liang Cheng; Qing Hua Li

doi:10.4028/www.scientific.net/AMR.368-373.1577

Paper Titles

Experimental Study on Anti-Frozen Durability of Concrete in Saline Soil Region
p.1555

Experimental Research on High Performance Concrete under Drying-Wetting Cycles in Saline-Lake Environment
p.1561

A New Method of Determining the Pile-Soil Parameters
p.1566

Experimental Research on Earth Pressure of Double-Sided Reinforced Earth Retaining Wall
p.1572

Non-Dimensional Vibration of Timoshenko Beams with Axial Loads
p.1577

Shape Classification Using Multiple Classifiers with Different Feature Sets
p.1583

Finite Element Modeling of Drying Shrinkage in Concrete Blending with Mineral Admixtures
p.1588

The Finite Element Analysis on Axial Tensile Bearing Capacity of Round Steel-Tubes Reinforced with CFRP Sheets
p.1595

Use of Fuzzy QFD in Construction Project Developing
p.1600

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 368-373Non-Dimensional Vibration of Timoshenko Beams with...

Non-Dimensional Vibration of Timoshenko Beams with Axial Loads

Abstract:

The paper is supposed to establish a non-dimensional approach to analyze the free vibration of axially loaded beams with different kinds of boundary conditions, based on the Timoshenko’s beam theory and the method of separation of variables. When the mode-shapes and frequencies are known, it is convenient to get the equivalent load vector, equivalent mass matrix and the frequencies matrix, then, the characteristics of vibration of axially loaded beams will be obtained by the approach. The results and conclusions were also helpful to the anti-blast analysis of columns

You might also be interested in these eBooks

Advances in Civil Engineering and Architecture Innovation

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 368-373)

Pages:

1577-1582

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.368-373.1577

Citation:

Cite this paper

Online since:

October 2011

Authors:

Yi Zhang, Li Chen, Guo Liang Cheng, Qing Hua Li

Keywords:

Axial Load, Non-Dimensional Vibration, Timoshenko Beam

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] H. Abramovich. Natural frequencies of Timoshenko beams under compressive axial loads: Journal of Sound and Vibration Vol. 157(1992), pp.183-189.

DOI: 10.1016/0022-460x(92)90574-h

Google Scholar

[2] J.B. Kosmatka. An improved two-node finite element for stability and natural frequencies of axial-loaded Timoshenko beams: Computer & Structures Vol. 57 (1995), pp.141-149.

DOI: 10.1016/0045-7949(94)00595-t

Google Scholar

[3] Q.S. Li. Vibratory characteristics of Timoshenko beams with arbitrary number of cracks: Journal of Engineering Mechanics Vol. 129(2003), p.1355–1359.

DOI: 10.1061/(asce)0733-9399(2003)129:11(1355)

Google Scholar

[4] Kamil Aydin. Vibratory Characteristics of axially-loaded Timoshenko beams with arbitrary number of cracks: Journal of Vibration and Acoustics Vol. 129(2007), pp.341-354.

DOI: 10.1115/1.2731411

Google Scholar

[5] C. Mei and D. Allen. Analytical approach to free and forced vibrations of axially loaded cracked Timoshenko beams: Journal of Sound and Vibration Vol. 291(2006), pp.1041-1060.

DOI: 10.1016/j.jsv.2005.07.017

Google Scholar