Vibration analysis of an elastic-sphere oscillator contacting semi-infinite viscoelastic solids in resonant ultrasound microscopy
Vibration analysis of an elastic-sphere oscillator contacting semi-infinite viscoelastic solids in resonant ultrasound microscopy
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DOI：
10.1063/1.1737472
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发表时间：
2004-06
影响因子：
3.2
通讯作者：
Jiayong Tian;H. Ogi;M. Hirao
中科院分区：
文献类型：
--
作者：
Jiayong Tian;H. Ogi;M. Hirao
共振超声显微镜通过振动振荡器的共振频移来评估材料的局部杨氏模量。本研究提出了一种动态接触模型，用于分析各向同性弹性球振荡器接触两个夹着球体的半无限粘弹性固体的自由振动。假设无摩擦接触和较小的振动幅度，通过线性化的最大接触压力和接触半径获得动态接触压力分布。通过接触位移边界条件将球体振动与固体运动结合起来，得到弹性球体的共振频率。与准静态模型不同，该动态模型与测量结果非常吻合。
Resonant-ultrasound microscopy evaluates local Young’s modulus of materials by the resonant-frequency shift of a vibrating oscillator. This study presents a dynamic-contact model to analyze free vibrations of an isotropic elastic-sphere oscillator contacting two semi-infinite viscoelastic solids, which sandwich the sphere. Assuming frictionless contacts and smaller vibrational amplitude, dynamic-contact pressure distributions are obtained with the linearized maximum contact pressure and contact radius. Combining the sphere oscillation and the solid motions through contact-displacement boundary conditions, resonant frequencies of the elastic sphere are obtained. Unlike the quasistatic model, this dynamic model agrees well with the measurements.