Research Articles | Challenge Journal of Structural Mechanics

Research on relation between natural frequency and axial stress of round bar with intermediate-supported ends

Tsutomu Yoshida, Takeshi Watanabe, Kunihiko Sakurada
Tsutomu Yoshida * Department of Mechanical Systems Engineering, Takushoku University, Bunkyo-ku, Tokyo 112-8585, Japan
Takeshi Watanabe Department of Mechanical Systems Engineering, Takushoku University, Bunkyo-ku, Tokyo 112-8585, Japan
Kunihiko Sakurada Department of Mechanical Systems Engineering, Takushoku University, Bunkyo-ku, Tokyo 112-8585, Japan
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Abstract

In order to make a method be useful to measure an axial stress of a member by a natural frequency, we investigated a relation between a natural frequency and an axial stress of a round bar with intermediate-supported ends, the boundary condition of which was one between a fix-supported end and a simply-supported end. To define an intermediate-supported end condition, we adopted a parameter, a ratio of a moment of a force to a deflection angle at the end. It was shown theoretically that the parameter of an intermediate-supported end could be evaluated by one at a support on a continuous beam consisted of 3 spans. The 3-spanned beam has same vibration characteristics of a beam with intermediate-supported ends. We manufactured a test device of a 3-spanned beam by which we could simulate a vibration under various intermediate-supported end conditions. The theoretical relation and experimental results between a natural frequency and an axial stress agreed for the most part.

Keywords

natural frequency; axial stress; intermediate support; three-spanned beam

References

Jinbo Y, Furukawa E (1971). Exercise of Vibration Engineering. Gakukensha. 126-128 (in Japanese).

Kudryavsev YF, Residual Stress (2008). Springer Handbook on Experimental Solid Mechanics. Springer -SEM. 371-387.

Leplay P, Rethore J, Meille J, Baietto MC (2011). Identification of damage and cracking behaviors based on energy dissipation mode analysis in a quasi-brittle material using digital image correlation. International Journal of Fracture, 171(1), 35-50.

Moreira PMGP, Lucas FM, Silva, Loureiro ALD (2012). Determination of the strain distribution in adhesive joints using fiber gragg grating sensors. Proceedings of the 15th International Conference on Experimental Mechanics, Porto, Portugal, 581-582.

Timoshenko SP (1954). Vibration Problems in Engineering. D.Van Nostrad Company Inc., Toronto, Canada.

Yoshida T, Sakurada K, Hoshino M (2010). Development on measurement technology of axial load in truss structure member by impact sound. Proceedings of the 14th International Conference on Experimental Mechanics, Poitier, France.

Yoshida T, Ismail MZB, Watanabe T (2013). Measurement of static stress in round bar by impact sound. Proceedings of the 4th International Conference on Integrity, Reliability & Failure, Funchal, Portugal, 63-64.

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Peer-review under responsibility of the organizing committee of ICEM17.

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