Department of Theory of Vibrations, Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova Strasse, Kyiv 03057, Ukraine.
J Acoust Soc Am. 2010 Apr;127(4):2282-9. doi: 10.1121/1.3291035.
The problem of nonstationary wave radiation in an infinitely long thick-wall piezoelectric cylinder in fluid medium is considered. The influence of an oscillating circuit with lumped parameters on characteristics of transient process is taken into consideration. Problem formulation is executed within the forced electrostatic theory, acoustic approximations, and quasistatic theory for electric circuit. The solution method is based on the integral Laplace transform in time. This allows analytically reducing the problem to solving a system of Volterra integral equations with retarded arguments. The numerical results of calculations are presented and analyzed.
本文研究了无限长厚壁压电圆柱中不稳定波辐射问题。考虑了集中参数的振荡电路对瞬态过程特性的影响。问题的提法基于强制静电理论、声学近似和电路的准静态理论。求解方法基于时间上的积分拉普拉斯变换。这使得问题可以解析地简化为求解具有时滞变量的 Volterra 积分方程组。给出并分析了计算的数值结果。