【摘要】：隨著工業(yè)智能化水平的不斷發(fā)展,在線監(jiān)測系統(tǒng)對石英晶體諧振器的性能要求變得越來越高,主要表現(xiàn)在器件的準(zhǔn)確性、精密性、穩(wěn)定性等方面。已有的石英晶體諧振器的研究,大多數(shù)是根據(jù)Mindlin板或Lee板理論,計算晶體板共振的頻率和主要的性能參數(shù),同時可以得到簡化問題的解析解。但對于頻率較高的基頻、三次泛音、五次泛音等高階泛音諧振器,得出這些精確的解析解是很困難的。石英晶體諧振器是典型的動態(tài)結(jié)構(gòu)組件,目前對它的研究主要是在準(zhǔn)靜態(tài)條件和直行波假設(shè)下進(jìn)行的,一般合理地忽略了寬度方向的振動模態(tài)。但是,這樣的設(shè)計方法容易引起寬度方向的寄生模態(tài)的忽略,難以滿足實際的工程產(chǎn)品設(shè)計需求。在設(shè)計產(chǎn)品時,設(shè)計者一般需要結(jié)合實驗數(shù)據(jù)的經(jīng)驗等,利用有限元軟件進(jìn)行計算。本文應(yīng)用一階Mindlin板理論,分析了矩形石英晶體板的振動,得到了包含厚度剪切模態(tài)、彎曲模態(tài)和面切變模態(tài)的振動解。為了研究寄生模態(tài)對石英板振動的影響,我們應(yīng)用COMSOL軟件,在耦合三個模態(tài)和五個模態(tài)的條件下,得到了板的振動頻率和沿板的長度和寬度方向的中線處的位移。通過編寫腳本文件,應(yīng)用MATLAB和COMSOL軟件進(jìn)行聯(lián)合仿真,考慮了不同電極質(zhì)量比等參數(shù),得到了長厚比和寬厚比的頻譜關(guān)系圖,這些結(jié)果與已有文獻(xiàn)的結(jié)果一致。本文還研究了石英晶體諧振器的不同的封裝結(jié)構(gòu)因素,如電極尺寸、導(dǎo)電膠直徑、導(dǎo)電膠位置、封裝上蓋等對石英晶體諧振器共振頻率和厚度切變模態(tài)的影響。石英晶體板的分析基于Mindlin板理論,加上諧振器的完整結(jié)構(gòu)模型,可以詳細(xì)分析上述變量因素對振動位移和器件特性的影響程度,而這些分析結(jié)果為石英晶體諧振器的參數(shù)優(yōu)化設(shè)計提供了重要參考。
[Abstract]:With the development of industrial intelligence, the performance requirements of quartz crystal resonator are becoming higher and higher in the on-line monitoring system, which is mainly reflected in the accuracy, precision and stability of the device. Most of the existing researches on quartz crystal resonators are based on the Mindlin plate or Lee plate theory to calculate the resonance frequency and main performance parameters of the crystal plate. At the same time the analytical solution of the simplified problem can be obtained. But for high-order overtone resonators such as base frequency, cubic overtone and quintic overtone, it is very difficult to obtain these exact analytical solutions. Quartz crystal resonator is a typical dynamic structure component. At present, the research of quartz crystal resonator is mainly carried out under the quasi-static condition and the assumption of straight traveling wave, and the vibration mode in width direction is generally and reasonably ignored. However, this design method is easy to cause the parasitic modes in width direction to be ignored, so it is difficult to meet the actual design requirements of engineering products. When designing products, designers generally need to combine the experience of experimental data and use finite element software to calculate. In this paper, the vibration of rectangular quartz crystal plate is analyzed by using the first order Mindlin plate theory, and the vibration solutions including thickness shear mode, bending mode and plane shear mode are obtained. In order to study the effect of parasitic modes on the vibration of quartz plate, we use COMSOL software, under the condition of coupling three modes and five modes, we obtain the vibration frequency of the plate and the displacement along the midline along the direction of the length and width of the plate. By writing the script file, using MATLAB and COMSOL software to carry on the joint simulation, considering the different electrode mass ratio and other parameters, the spectrum relation diagram of the ratio of length to thickness and the ratio of width to thickness is obtained. These results are consistent with the results of the previous literature. The effects of different packaging structure factors such as electrode size, conductive adhesive diameter, conductive adhesive position and package cover on the resonant frequency and thickness shear mode of quartz crystal resonator are also studied in this paper. The analysis of quartz crystal plate is based on Mindlin plate theory and the complete structure model of the resonator can be used to analyze the influence of the above variables on the vibration displacement and device characteristics in detail. These results provide an important reference for the optimization design of quartz crystal resonator.
【學(xué)位授予單位】：寧波大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：TN752.2

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