Abstract

Thermoelastic damping (TED) is one of the significant factor to design the high-efficiency sensors or resonators. Up to now, the single-phase-lagging (SPL) has been analyzed for the various TED models without imperfections. Practically, the perfect system cannot be available in a real structure, because imperfections are usually involved as a result of small error in a manufacturing process. And then, the non-uniformity eventually developes the inaccuracy of the precision parts. In this regard, the effect of the point masses is analyzed for the dissipation with time delay of heat flux. The governing equation is established according to the eigenfrequency of the rectangular-cross-sectional ring. And the temperature profile is obtained by the function of the lagging time, vibration mode numbers. Numerical results are compared with experimental and analytical literatures, and the effect due to the imperfection is discussed by the quality factors (Q-factors) for the TED with SPL. Moreover, the temperature distribution is graphically demonstrated through the thickness direction to represent the lagging effect due to the point mass. Significantly, the influence of the imperfection is compared to the models based on classical Fourier’s heat conduction equation in the high-frequency or ultralow temperature.

摘要

热弹性阻尼（TED）是设计高效传感器或谐振器的重要因素之一。到目前为止，已经针对各种TED模型分析了单相滞后（SPL），没有缺陷。实际上，完美的系统无法在实际的结构中使用，因为通常会由于制造过程中的小误差而导致缺陷。然后，不均匀性最终导致了精密零件的不准确性。在这方面，分析了点质量的影响，以了解热通量随时间的延迟而耗散的情况。根据矩形截面环的本征频率建立控制方程。并且通过滞后时间，振动模式编号的函数获得温度曲线。将数值结果与实验和分析文献进行了比较，并通过具有SPL的TED的质量因子（Q因子）讨论了由于缺陷引起的影响。此外，通过厚度方向以图形方式显示了温度分布，以表示由于点质量引起的滞后效应。重要的是，将缺陷的影响与基于经典傅里叶热传导方程的模型在高频或超低温下进行了比较。