活塞驱动的指数形谐振管内的非线性振荡

Nonlinear Oscillations in an Exponential Shaped Resonator Driven by a Piston

本文通过理论分析和推导得到了活塞驱动的指数形谐振管内气体的压力和压比的近似表达式。对指数形谐振管的各种驱动幅值,计算了管端压比随形状参数m的变化曲线,获得最大压比时的谐振管形状参数。本文的研究结果可用于活塞驱动的指数形谐振管内非线性振荡的分析和大声幅谐振管的设计。

The paper presents the approximate formulas for pressure and pressure ratio in the exponential shaped resonator driven by a piston through theory analysis.These curves for changes of pressure ratio with the shape parameter m of resonator under various driving amplitudes are computed at the closed end of an exponential shaped resonator.Moreover,the shape parameter of the resonator is obtained for the largest pressure ratio.The studied results in the paper can be used to analyze the nonlinear oscillations in the exponential shaped resonator as well as to design the resonator with large acoustic amplitude.