基于复刚度法，建立了计入基底层阻尼的理论模型，得到了共振梁法经典公式误差的理论表达式。通过数值仿真分析了主要影响因素对误差的影响规律，并分别使用钢和有机玻璃基底，测量了聚氨酯橡胶的损耗因子，对分析结果进行了试验验证。理论与试验结果的一致性表明：共振梁法测量材料阻尼时，经典公式忽略了基底层阻尼，可能导致较大误差。阻尼层与基底层损耗因子比、模量比和厚度比越小，忽略基底层阻尼导致的误差越大。其中模量比和厚度比的影响又可由复合梁与基底梁的弯曲刚度比反映，并且弯曲刚度比越小，误差越大。对于钢基底，当阻尼层损耗因子大于0.1，且复合梁与基底梁的弯曲刚度比大于1.1时，基底层阻尼可以忽略；对于有机玻璃基底，基底层阻尼一般不能忽略。
Abstract
In the traditional resonance beam method for measuring material damping, the base layer damping is usually neglected to cause some errors more or less. In order to theoretically estimate the error, a formula was then derived here based on the complex stiffness theory. By using this formula, the effects of some main factors on the error were carefully analyzed. Steel and organic glass were taken as base layers, respectively to measure the loss factor of urethane rubber. The analysis results were verified with tests. The test results agreed well with those of the theoretical analysis. It was shown that if material damping is measured with the resonance beam method, due to ignoring the base layer damping, a larger error can be caused; loss factor ratio, modulus one and thickness one of damping layer to base layer are three main factors, the smaller the three factors, the larger the error; the effects of modulus ratio and thickness one can be reflected with the flexural stiffness ratio of a composite beam to a base beam, the smaller the flexural stiffness ratio, the bigger the error; for steel base layer, if the loss factor of the damping layer exceeds 0.1 and the flexural stiffness ratio exceeds 1.1, the base layer damping can be neglected; for organic glass base layer, the base layer damping cannot be neglected.
关键词
共振梁法 /
阻尼材料 /
基底层阻尼 /
误差
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Key words
resonnace beam method /
damping material /
base layer daming /
error
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参考文献
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