Abstract
This work investigates the single rod impact test technique, from which wave propagation characteristics, i.e. the propagation coefficient and wave speed, can be obtained and used to identify the material modulus as a function of frequency. To accomplish this, an elastic Titanium rod and a viscoelastic Polymethyl Methacrylate (PMMA) rod have been tested. With a known modulus, the Titanium rod modulus was successfully recovered from the wave propagation coefficient in a frequency range of 5 kHz ∼ 30 kHz, which verifies the validity of this technique. The PMMA modulus identified by this technique agrees reasonably with the modulus derived from DMA tests in the range 2 kHz ∼ 20 kHz. The good agreement between the theoretical and simulation-based modulus further confirms the effectiveness of the single rod impact test in this use. It is also demonstrated that the single rod impact technique is capable of detecting the minor mechanical changes induced by temperature variations as small as 2 °C.
Highlights
The ∅12.7 × 1000 mm Titanium rod, with a known modulus of about 110 GPa, was tested at T = 22.6 ◦C to verify the effectiveness of the single rod impact technique and the validity of the frequency domain analysis method
A typical Titanium rod impact strain recording is shown in Fig. 3, the nearly constant amplitudes indicate that no energy dissipation appeared during the strain wave propagation in the elastic Titanium rod
The ability of the single rod impact technique to derive the wave propagation characteristics and identify the material modulus was demonstrated in this paper
Summary
The work is based on the wave propagation theories in a slender rod. Many theories have been established for characterizing wave propagation in a rod, either elastic [5] or viscoelastic [6]. These theories vary in whether it is 1D or 3D, what cross-section it can be applied to, etc. The complexity of these theories is out of this paper’s scope, and only basic wave propagation theories will be introduced here.
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