
- Publication Date: Oct. 29, 2019
- Vol. 68, Issue 8, 080101-1 (2019)
- Publication Date: Oct. 29, 2019
- Vol. 68, Issue 8, 080201-1 (2019)
- Publication Date: Oct. 29, 2019
- Vol. 68, Issue 8, 080301-1 (2019)
- Publication Date: Oct. 29, 2019
- Vol. 68, Issue 8, 080501-1 (2019)
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- Vol. 68, Issue 8, 083401-1 (2019)
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- Vol. 68, Issue 8, 084101-1 (2019)
- Publication Date: Oct. 29, 2019
- Vol. 68, Issue 8, 084201-1 (2019)
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- Vol. 68, Issue 8, 084202-1 (2019)
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- Vol. 68, Issue 8, 084203-1 (2019)
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- Vol. 68, Issue 8, 084204-1 (2019)
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- Vol. 68, Issue 8, 084205-1 (2019)
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- Vol. 68, Issue 8, 084206-1 (2019)
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- Vol. 68, Issue 8, 084207-1 (2019)
- Publication Date: Oct. 29, 2019
- Vol. 68, Issue 8, 084301-1 (2019)
In order to improve the low-frequency acoustical insulation performance of Helmholtz phononic crystals, a structure coupling Helmholtz resonator with elastic oscillator is designed. This structure combines the characteristics of Helmholtz resonators with those of the local resonant solid-solid phononic crystals. In this structure, the elastic oscillator is bonded to the inner wall of the conventional Helmholtz resonator by rubber. The structure has two bandgaps in the low-frequency range, i.e. 24.5 47.7 Hz and 237.6 308.6 Hz for a lattice constant of 6 cm. However, for the same lattice constant, the lower limit of the bandgap of the traditional Helmholtz resonator without the elastic oscillator structure is only 42.1 Hz. Our structure reduces the minimum lower limit of the bandgap by 40% compared with the traditional Helmholtz structure and has better low-frequency acoustical insulation characteristics.
In this study, the generation mechanism of the bandgap is analyzed with the sound pressure field and vibration mode. It is found that the elastic oscillator and the air in the air passage of the resonator vibrate in the same direction at the frequency of upper and lower limit for the first bandgap while they vibrate in the reverse direction for the second bandgap. Outside the resonator, air sound pressure is zero at the lower limit of the bandgap. The spring-oscillator system is established as an equivalent model. In the model, the elastic oscillator and the air in the passage are regarded as oscillators, and the air separated by the elastic oscillator, the air outside the resonator, and the rubber connected with the elastic oscillator are all regarded as springs. Besides, it can be found that the air in the resonator shows different equivalent stiffness for different vibration mode.
In the discussion, the effects of structural parameters on the bandgap are studied by theoretical calculation and the finite element method. The results show that when the lattice constant decreases without changing the side length of the resonator, the bandgap width increases without affecting the lower limit of the bandgap. The increase of the length of the air passage can increase the width of the first bandgap while the second bandgap decreases. However, the increase of the mass effect of the elastic oscillator results in the first bandgap width decreasing and the second bandgap width increasing. The increase of the length of the air passage and the mass of the elastic oscillator both can reduce the bandgap frequency. It can be found that the volume of the right cavity only affects the frequency of the second bandgap, while the volume of the left cavity can influence the frequency of each bandgap. Therefore, the shorter distance between the elastic oscillator and the passage, the better low-frequency acoustical insulation performance of the structure can be reached. Finally, the increase of the length of the rubber produces new vibration modes, which leads to the generation of new small bandgaps and the change of the frequency of the original bandgaps. However, it is found that the influence of the mode of vibration on the bandgap is smaller than that of the mass of the elastic oscillator, and the regularity of its impact is not apparent.
- Publication Date: Oct. 29, 2019
- Vol. 68, Issue 8, 084302-1 (2019)
- Publication Date: Oct. 29, 2019
- Vol. 68, Issue 8, 084303-1 (2019)
The β-type Ti-Nb alloys are potential shape memory and superelasticity materials. The interstitial atoms in the alloys have important effect on their physical and mechanical properties. For the interstitial atoms, the internal friction technique can be used to detect their distributions and status in the alloys. The influences of chemical compositions and heat treatments on the microstructures of the containing-oxygen Ti-Nb alloys are given, and a clear understanding and the relaxational mechanism of the internal friction peak correlated with oxygen are also clearly discussed by investigating the internal friction behavior of the alloys and the detecting their microstructures.
The Ti-Nb alloys with different Nb content values are prepared by powder metallurgy. The internal friction behaviors of Ti-Nb alloys with different Nb content values and heat treatments are investigated by using dynamic mechanical analysis (dynamic mechanical analyzer, DMA) Q800 from TA Instruments in single cantilever mode under different testing parameters and conditions from room temperature to 350 ℃. The X-ray diffraction experiments are also carried out in order to detect the differences among the microstructures of the specimens with different heat treatments for the Ti-35.4Nb alloy. It is shown that relaxational internal friction peaks are found on the internal friction temperature dependent curves of the sintered and water-quenched alloys. The internal friction peak is correlated with Nb content. The peak does not appear in the sintered Ti-Nb alloys with low Nb content. The maximum of the internal friction peak appears in the quenched alloy with about 35% Nb. The internal friction peak height increases monotonically with Nb content increasing in the present testing composition range for the sintered alloys. The relaxation parameters are the activation energy Hwq = (1.67 ± 0.1) eV and the preexponential factor τowq = 1.1 × 10-17 ± 1 s for the quenched Ti-35.4Nb alloy . In addition, the peak height also depends on heat treatment. The water-quenched Ti-35.4Nb alloy has much higher internal friction peak than the as-sintered alloy with identical compositions. The internal friction peak height is also correlated with the quenching temperature. It is found that the peak is linked to the β phase of Ti-Nb alloys and that the peak height is determined by the stability and amount of the β phase from their microstructures. When the stability of the β phase decreases, the peak height increases, and the increase in the amount of β phase results in the increase of the peak height. The β phase in the quenched Ti-35.4Nb specimen is metastable β phase (βM), which can be transformed into the stable α and βS by ageing. The β phase in as-sintered specimen is the stable β phase (βS). The modifications of microstructures of the specimens with different heat treatments result in the difference in peak height between the water-quenched and as-sintered Ti-35.4Nb specimens. That the peak height presents a maximum in the vicinity of 35 wt.% Nb for the quenched alloys results from the variation of the stability and amount of βM with Nb content. That the height of the peak increases monotonically with Nb content increasing in as-sintered alloys is attributed to the increase of the amount of βS. It is suggested that the internal friction peak is related to oxygen jump in lattice or the interaction between the oxygen-substitute atoms in βM phase for the water-quenched alloys and those in βS phase for the as-sintered alloys.
- Publication Date: Oct. 29, 2019
- Vol. 68, Issue 8, 086201-1 (2019)
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- Vol. 68, Issue 8, 086401-1 (2019)
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- Vol. 68, Issue 8, 086501-1 (2019)
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- Vol. 68, Issue 8, 086801-1 (2019)
- Publication Date: Oct. 29, 2019
- Vol. 68, Issue 8, 087101-1 (2019)
Mobility edge as one of the most important concepts in a disordered system in which there exists an energy dependent conductor-to-insulator transition has aroused great interest. Unlike an arbitrarily small disorder inducing the Anderson localization in one-dimensional random potential, the well-known Aubry-André model presents a metal-to-insulator transition without mobility edges. Some generalized Aubry-André models are proposed whose the mobility edges in compactly analytic forms are found. However, the existence of the many-body mobility edges in thermodynamic limit for an interacting disordered system is still an open question due to the dimension of the Hilbert space beyond the numerical capacity. In this paper, we demonstrate the existence of the mobility edges of bosonic pairs trapped in one dimensional quasi-periodical lattices subjected to strongly interactions. We believe that our theory will provide a new insight into the studying of the many-body mobility edges.
- Publication Date: Oct. 29, 2019
- Vol. 68, Issue 8, 087201-1 (2019)
- Publication Date: Oct. 29, 2019
- Vol. 68, Issue 8, 087301-1 (2019)
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- Vol. 68, Issue 8, 087302-1 (2019)
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- Vol. 68, Issue 8, 087801-1 (2019)
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- Vol. 68, Issue 8, 087802-1 (2019)
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- Vol. 68, Issue 8, 088701-1 (2019)
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- Vol. 68, Issue 8, 089701-1 (2019)
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- Vol. 68, Issue 8, 082801-1 (2019)