本論文探討如何利用共振超音波頻譜儀量測固體材料的高頻性質，以實驗的方式實際量測材料的剪力模數、楊氏模數、線黏彈性阻尼。固體材料由兩個超音波壓電傳導器支持，一端產生振動波、另一端接收振動波。以試體角點接觸壓電傳導器，使得壓電與試體接觸條件屬於弱彈性偶合，因此引起微小振動，微量轉為振動頻率，量測所得訊號，並利用電腦快速的從共振頻率去推斷剪力模數，以及測量共振曲線的寬度，計算材料的正切消散係數tan δ；另外再利用有限元素軟體模擬固體材料在各個共振模態的頻率以及形變。由實驗結果可知，剪力波與縱向波電壓傳導器量測出的共振頻率差不多，但前者的訊號比後者還要大約３至２０倍，而剪力波電壓傳導器量測短柱時，試體擺設角度也會影響實驗訊號的大小；當固體材料的共振頻率越高，所量測出來的阻尼會越小；另外在模擬不同厚度的中空柱時也發現，在共振的扭轉模態會有相同的共振頻率，與ＲＵＳ實驗結果吻合。實驗結果得知，鋁的線黏彈性阻尼約2.29~5.58×10-4，304不銹鋼的線黏彈性阻尼約3.21~8.46×10-4，以及錫的線黏彈性阻尼約4.55~ 1.29×10-3，最後以Lorentzian curve fit 的結果比較，兩者相差不大。

In this thesis, a resonant ultrasound spectroscopy was developed for determination of material properties of solids at high frequency, such as the shear modulus G, Young’s modulus E and linear viscoelastic damping of the material. Specimens are mounted between two piezoelectric ultrasonic transducers by corner contact without gluing. One of the transducers generates mechanical excitation, and the other behaves as a receiver. The corner contact provides elastically weak coupling to the transducers, and hence minimal perturbation to the vibration, minimal shift in resonant frequency and minimum parasitic damping. To compare with experimental results, finite element calculations with ABAQUS are performed. It is found that shear transducers provide stronger signals than compressional ones due to the lowest resonance mode being shear modes. For short cylinders, the orientation of the cylinder may influence the strength of measured signals when shear transducers are adopted. The tilt of the specimens may affect measurements as well. The linear viscoelastic damping is found to be linearly decreases as frequency increases, suggesting the string theory of vibrating dislocations is correct in metals, such as Sn, Al and stainless steel. In experiment result, the damping tan δ of Al about 2.29 ~ 5.58 × 10-4, SS about 3.21~8.46×10-4, and Sn about 4.55~ 1.29×10-3, roughly consistent with the data reduction method by using the Lorentzian curve fitting.

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