Ji Xiaojun, Fan Yanping, Han Tao, Cai Ping «Nonlinear thickness-stretch vibration of thin-film acoustic wave resonators» Акустический журнал, 62, № 2, с. pp160-164 (2016)

We perform a theoretical analysis on nonlinear thickness-stretch free vibration of thin-film acoustic wave resonators made from AlN and ZnO. The third-order or cubic nonlinear theory by Tiersten is employed. Using Green’s identify, under the usual approximation of neglecting higher time harmonics, a perturbation analysis is performed from which the resonator frequency-amplitude relation is obtained. Numerical calculations are made. The relation can be used to determine the linear operating range of these resonators. It can also be used to compare with future experimental results to determine the relevant thirdand/or fourth-order nonlinear elastic constants.

Chen Yong, Chen Xiaoqian, Huang Yiyong, Bai Yuzhu, Hu Dengpeng, Fei Shaoming «Study of thermoviscous dissipation on axisymmetric wave propagating in a shear pipeline flow confined by rigid wall. Part I. Theoretical formulation» Акустический журнал, 62, № 1, с. pp27-37 (2016)

Axisymmetric acoustic wave propagation in a shear pipeline flow confined by a rigid wall is studied in the two-part paper. The effects of viscous friction and thermal conduction on the acoustic wave propagating in the liquid and perfect gas are respectively analyzed under different configurations of acoustic frequency and shear flow profile. In Part 1 of this paper, mathematical models of non-isentropic and isentropic acoustic waves are formulated based on the conservation of mass, momentum and energy for both liquid and perfect gas. Meanwhile, comprehensive solutions based on the Fourier-Bessel theory are provided, which gives a general methodology of iteratively calculating features of the acoustic wave. Numerical comparisons with previous simplified models verify the validity of the proposed models and solutions.

Chen Xiaoqian, Chen Yong, Huang Yiyong, Bai Yuzhu, Hu Dengpeng, Fei Shaoming «Study of thermoviscous dissipation on axisymmetric wave propagating in a shear pipeline flow confined by rigid wall. Part II. Numerical study» Акустический журнал, 62, № 2, с. pp143-150 (2016)

Axisymmetric acoustic wave propagating in a shear pipeline flow confined by a rigid wall is studied in the two-part paper. The effects of viscous friction and thermal conduction on the acoustic wave propagating in the liquid and perfect gas are respectively analyzed under different configurations of acoustic frequency and shear mean flow. In Part 2 of this paper, comprehensive analysis of the effects of shear mean flow and acoustic frequency on the features (relative phase velocity and attenuation coefficient) of the acoustic wave are numerically addressed in cases of water and perfect gas respectively. Comparisons between the non-isentropic and isentropic models are provided in details. Meanwhile, discussions of the thermoviscous effects on the acoustic wave between water and perfect gas are given.