Abstract
This study examines the effect of shear and rotatory inertia on the accuracy of the vibration method with additional mass (VAM). Bending vibration tests were performed for rectangular bars with a width of 30 mm, thicknesses ranging from 5 to 60 mm, and a length of 300 mm, small round bars with diameters in the range of 6–36 mm, and lengths of 150–300 mm, and cross beams for timber guardrails with and without a concentrated mass under a free–free condition. The estimation accuracy of the VAM and the effect of shear and rotatory inertia increased and decreased, respectively, as the length/thickness ratio of the rectangular bar and length/diameter ratio of the round bar increased. The estimation accuracy of the VAM decreased with an increase in the effect of shear and rotatory inertia, and it could be corrected. The range of the effect of shear and rotatory inertia for the sufficient estimation accuracy of the VAM was obtained.
Highlights
The vibration test is widely used because it enables Young’s modulus to be measured quickly, and non-destructively
Three Japanese cedar cross beams for timber guardrails with a pith having a diameter of 200 mm and a length of 1980 mm [11] were used as the specimens
The results showed that the estimation accuracy of the vibration method with additional mass (VAM)
Summary
The vibration test is widely used because it enables Young’s modulus to be measured quickly, and non-destructively. A method for measuring mass, density, and Young’s modulus without needing to weigh the specimen was developed based on a frequency equation that incorporates the effect of an additional mass attached to a wooden bar [1,2,3,4,5,6]. This method is referred to as the vibration method with additional mass (VAM) in this study.
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