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基于微扰理论,研究了内部存在一个同轴圆柱扰动体时圆柱谐振腔共振频率的偏移问题.其中,圆柱谐振腔的边侧面是刚性的,上下底面应力自由.经过推导,得出了圆柱扰动体存在时谐振腔的声势与共振频率的表达式.在此基础上,分析了谐振腔与圆柱扰动体各种参数对谐振腔共振频率的影响.数值模拟结果表明,谐振腔的共振频率受扰动体在谐振腔中的位置影响较大.圆柱谐振腔的共振频率在圆柱扰动体居中时是最大值,并且其共振频率对扰动体的声速敏感;当扰动体在谐振腔两端时,谐振腔共振频率是最小值,并且其对扰动体的密度敏感.最后,通过数值模拟结果和实验测量结果之间的对比,发现两者的基本变化趋势是吻合的.
Based on the perturbation theory, the problem of the resonance frequency shift of a cylindrical resonator is studied when there exists a coaxial cylindrical perturbation body in which the side of the cylindrical resonator is rigid and the stress on the bottom and the bottom is free. After deducing, On the basis of the analysis, the influence of various parameters of resonant cavity and cylindrical disturbance element on resonant frequency of resonant cavity is analyzed.The numerical simulation results show that the resonant frequency of resonant cavity is affected by The position of the disturbing body in the resonator is greatly affected.The resonant frequency of the cylindrical resonator is the maximum when the cylindrical disturbing body is centered and its resonant frequency is sensitive to the speed of sound of the disturbing body.When the disturbing body is at both ends of the resonator, The resonant frequency of the cavity is the minimum, and it is sensitive to the density of the disturbing body.Finally, through the comparison between the numerical simulation and the experimental measurement, it is found that the basic trend of the two is consistent.