活塞驱动的指数形谐振管内的非线性振荡

工程热物理学报 , 2012, 33(4): 569-572.

活塞驱动的指数形谐振管内的非线性振荡

冯和英 ^1, , 张晓青 ^2, , 彭叶辉 ^3, , 陈焕新 ^4,

1.华中科技大学能源与动力工程学院,湖北武汉430074

2.华中科技大学能源与动力工程学院,湖北武汉430074

3.湖南科技大学数学与计算科学学院,湖南湘潭411201

4.华中科技大学能源与动力工程学院,湖北武汉430074

基金项目: 国家自然科学基金资助项目(50976037)

关键词：指数形谐振管 , 非线性声振荡 , 压比

Nonlinear Oscillations in an Exponential Shaped Resonator Driven by a Piston

Keywords： exponential shaped resonator , nonlinear oscillation , pressure ratio

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.

参考文献

[1]	Luo C;Huang XY;Nguyen NT .Generation of shock-free pressure waves in shaped resonators by boundary driving[J].The Journal of the Acoustical Society of America,2007(5):2515-2521.
[2]	张晓青,冯和英,彭叶辉,陈焕新.管内气体声振荡特性的气-动格式模拟[J].工程热物理学报,2011(03):403-406.
[3]	Yurii A. Ilinskii;Bart Lipkens;Timothy S. Lucas;Thomas W. Van Doren;Evgenia A. Zabolotskaya .Nonlinear standing waves in an acoustical resonator[J].The Journal of the Acoustical Society of America,1998(5):2664-2674.
[4]	The evolution of macrosonic standing waves in a resonator[J].International journal of engineering science,2009(11/12):1305.

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