板中Lamb波传播过程仿真分析
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摘要
为了给料位测量的实验研究提供理论上的依据,该文以实验室装置为对象,在合理的简化假设条件下,采用波动理论结合相应的边界条件,建立了板中Lamb的色散方程。通过对方程的求解得到了板在一定厚度范围内变化所对应的色散曲线。通过分析钢板中相速度变化曲线,得出如下几个规律Lamb波在板中传播时,存在多个模式;当板厚确定时,频率越高,存在的模式将越多;当频率一定时,板的厚度增加,各个模式之间将越密集。
In order to provide a theory basis for the experiment of mass level measurement, this paper sees the experiment equipment as the object, and makes some simplification. Then this paper adapts wave theory and corresponding boundary conditions, and deduces the dispersion equations of Lamb waves in a plate. By solving the dispersion equations the dispersion curves are obtained with the change of the plate thickness. Analyzing the change of phase velocity in a steel plate, some laws are got: when Lamb waves propagate in a plate, many modes exist in it; when the plate thickness is changeless, the higher the frequency is, the more modes there are in the plate; when the frequency is changeless, the thicker the plate is, the closeer the modes are.
In order to provide a theory basis for the experiment of mass level measurement, this paper sees the experiment equipment as the object, and makes some simplification. Then this paper adapts wave theory and corresponding boundary conditions, and deduces the dispersion equations of Lamb waves in a plate. By solving the dispersion equations the dispersion curves are obtained with the change of the plate thickness. Analyzing the change of phase velocity in a steel plate, some laws are got: when Lamb waves propagate in a plate, many modes exist in it; when the plate thickness is changeless, the higher the frequency is, the more modes there are in the plate; when the frequency is changeless, the thicker the plate is, the closeer the modes are.
引文
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[9]张锐,等.低频超声类兰姆波超薄黏结复合结构定征方法[J].应用科学学报,2001,19(2):107-112.
[10]Eugene V Malyarenko,Mark K Hinders.Ultr-asonic Lamb wave diffraction tomography[J].Ultraso-nics.2001,39:269-2.
[2]杨大地,等.实用数值分析[M].重庆:重庆大学出版社,2002.
[3]N.H.瑞克.粘弹性介质中的地震波[M].地质出版社,1989.
[4]胡德绥.弹性波动力学[M].地质出版社,1988.
[5]北京技术交流站编.超声波探伤原理及应用[M].机械工业出版社,1982.
[6]朱哲民.有液体层负载时薄板中类lamb波的传播[J].声学学报,1996.21(2):174-181.
[7]袁易全.近代声学原理及应用[M].南京大学出版社,1996-4.
[8]陆小冬,等.两侧有固体层负载时板中Lamb波的传播[J].应用声学,1995,15(2):12-16.
[9]张锐,等.低频超声类兰姆波超薄黏结复合结构定征方法[J].应用科学学报,2001,19(2):107-112.
[10]Eugene V Malyarenko,Mark K Hinders.Ultr-asonic Lamb wave diffraction tomography[J].Ultraso-nics.2001,39:269-2.
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