Error analysis of the symmetric free-layer beam method for determining Young&rsquo;s modulus and loss factor of damping materials

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (22) : 100-103.

Error analysis of the symmetric free-layer beam method for determining Young’s modulus and loss factor of damping materials

QU Zhongpeng , SHENG Meiping

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Abstract

The inverse formulas of the symmetric free-layer beam method are simplified by introducing the medium variables. Based on the simplified formulas, a total error analysis is made and the higher order expressions for error prediction are derived. The research shows that the stiffness ratio is the most significant factor influencing the inverse accuracy. More accurate results can be obtained from specimens with bigger stiffness ratios. The errors of the frequency ratio and the mass ratio are violently magnified as the stiffness ratio reaches 1, which will lead to great inverse errors. The stiffness ratio can be increased by increasing the thickness ratio and the modulus ratio between the damping and the base layer. Thus the inverse accuracy will be improved. The conclusion is verified by the simulation analysis.

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damping materials / the flexural resonance method / the symmetric free-layer beam / the error analysis / the stiffness ratio

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QU Zhongpeng,SHENG Meiping. Error analysis of the symmetric free-layer beam method for determining Young’s modulus and loss factor of damping materials[J]. Journal of Vibration and Shock, 2017, 36(22): 100-103

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