Department of Physiology and Biomedical Engineering, Mayo Clinic College of Medicine, 200 First Street Southwest, Rochester, Minnesota 55905, USA.
J Acoust Soc Am. 2011 Sep;130(3):1133-41. doi: 10.1121/1.3613939.
The response of an embedded sphere in a viscoelastic medium excited by acoustic radiation force has been studied in both the time- and frequency-domains. This model is important because it can be used to characterize the viscoelastic properties of the medium by fitting the response to the theoretical model. The Kelvin-Voigt model has been used exclusively in these models. An extension to the previously reported models is described so that any viscoelastic rheological model can be used. This theoretical development describes the generalized embedded sphere response both in the time and frequency domains. Comparing the results from derivations in both domains showed very good agreement with a median absolute error (MAE) ranging from 0.0044 to 0.0072. Good agreement is demonstrated with finite element model simulations and the theory with a MAE of 0.006. Lastly, results for characterization of gelatin and rubber materials with the new theory are shown where the MAE values were used to determine which rheological model best describes the measured responses.
已在时域和频域中研究了受声辐射力激发的粘弹性介质中嵌入式球体的响应。 该模型很重要,因为它可以通过拟合响应来对介质的粘弹性特性进行特征化。 这些模型中仅使用了 Kelvin-Voigt 模型。 对以前报告的模型进行了扩展,以便可以使用任何粘弹性流变模型。 该理论发展描述了在时域和频域中通用嵌入式球体的响应。 在两个域中进行推导的结果比较显示,中值绝对误差(MAE)的范围从 0.0044 到 0.0072,吻合度非常好。 与有限元模型模拟和 MAE 为 0.006 的理论吻合度很好。 最后,显示了使用新理论对明胶和橡胶材料进行特性化的结果,其中 MAE 值用于确定哪个流变模型最能描述测量的响应。