Evaluation of Static Axial Stress in Round Bar by Eigen Mode Deflection

When a bar is subjected to a tensile or a compressive load, the natural frequencies of the bar varies in proportion to a magnitude of the axial load. A round steel bar with fixed-end supports or with simple-end supports was subjected experimentally to a tensile or a compressive load and impacted by...

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Bibliographic Details
Published inJournal of Solid Mechanics and Materials Engineering Vol. 6; no. 6; pp. 792 - 800
Main Authors YOSHIDA, Tsutomu, TAKAHASHI, Yuuta, WATANABE, Takeshi, AIN, Noor
Format Journal Article
LanguageEnglish
Published The Japan Society of Mechanical Engineers 2012
Subjects
Axial Stress
Deflection
Eigen Mode Deflection
FFT
Impact
Materials engineering
Mathematical analysis
Natural Frequency
Resonant frequency
Round Bar
Steels
Strain gauges
Stress Measurement Method
Vibration
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Summary:When a bar is subjected to a tensile or a compressive load, the natural frequencies of the bar varies in proportion to a magnitude of the axial load. A round steel bar with fixed-end supports or with simple-end supports was subjected experimentally to a tensile or a compressive load and impacted by a steel ball. Making use of a laser beam displacement detector, a deflection of the vibrating bar after the impact was measured. Natural frequencies of the bar were obtained applying FFT analyzer to the variation of the deflection. Working stress in the bar was measured by strain gauges. Vibration equation of a bar subjected to an axial stress with fixed-end supports or with simple-end supports was analyzed to obtain a theoretical relation between an axial stress and a natural frequency. Experimental results and a theoretical relation between an axial stress and a natural frequency of a bar were compared.
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ISSN:1880-9871
1880-9871
DOI:10.1299/jmmp.6.792