薄圓桶壓電振子的彎曲振動(dòng)分析
發(fā)布時(shí)間：2019-02-08 20:10
【摘要】：薄圓桶壓電振子是薄金屬圓桶底部粘合壓電陶瓷圓片的振動(dòng)元件。文章利用瑞利—里茲法,采用彈性邊界約束條件,對薄圓桶壓電振子的振動(dòng)特性進(jìn)行理論分析,推導(dǎo)得到壓電振子振動(dòng)頻率方程,通過數(shù)值計(jì)算分析支撐結(jié)構(gòu)對壓電振子頻率的影響,為該類傳感器的研制提供設(shè)計(jì)依據(jù)。經(jīng)分析計(jì)算,當(dāng)壓電振子中陶瓷圓片結(jié)構(gòu)確定時(shí),振子的諧振頻率隨支撐結(jié)構(gòu)厚度的增加、半徑的減小而增大。其中當(dāng)金屬底面厚度與振子總厚度之比在0.5~0.75之間時(shí),振子諧振頻率變化緩慢,當(dāng)兩者厚度比超過0.75后,諧振頻率迅速增高;而當(dāng)壓電圓片與支撐結(jié)構(gòu)半徑比在0.4~0.9之間變化時(shí),振子諧振頻率隨兩者半徑比的增大而增加,變化斜率也略有增大。
[Abstract]:Thin barrel piezoelectric vibrator is a vibration element which adheres piezoelectric ceramic wafer to the bottom of thin metal drum. In this paper, using the Rayleigh-Ritz method and the elastic boundary constraint condition, the vibration characteristics of the thin circular bucket piezoelectric oscillator are theoretically analyzed, and the vibration frequency equation of the piezoelectric vibrator is derived. The influence of support structure on the frequency of piezoelectric vibrator is analyzed by numerical calculation, which provides the basis for the design of this kind of sensor. By analysis and calculation, when the ceramic wafer structure in the piezoelectric oscillator is determined, the resonant frequency of the oscillator increases with the increase of the thickness of the supporting structure and the decrease of the radius. When the ratio of the metal bottom thickness to the total thickness of the oscillator is between 0.5 and 0.75, the resonant frequency changes slowly, and when the thickness ratio exceeds 0.75, the resonant frequency increases rapidly. When the radius ratio of the piezoelectric wafer to the supporting structure varies between 0.4 and 0.9, the resonant frequency increases with the increase of the radius ratio, and the slope increases slightly.
【作者單位】： 沈陽化工大學(xué)計(jì)算機(jī)科學(xué)與技術(shù)學(xué)院;北京信息科技大學(xué)傳感器重點(diǎn)實(shí)驗(yàn)室;
【基金】：國家自然科學(xué)基金資助項(xiàng)目(No.61102041) 遼寧省高等學(xué)校優(yōu)秀人才支持計(jì)劃(LJQ2013043) 北京市教委科技計(jì)劃重點(diǎn)項(xiàng)目(KZ201110772040)
【分類號】：TB53
[Abstract]:Thin barrel piezoelectric vibrator is a vibration element which adheres piezoelectric ceramic wafer to the bottom of thin metal drum. In this paper, using the Rayleigh-Ritz method and the elastic boundary constraint condition, the vibration characteristics of the thin circular bucket piezoelectric oscillator are theoretically analyzed, and the vibration frequency equation of the piezoelectric vibrator is derived. The influence of support structure on the frequency of piezoelectric vibrator is analyzed by numerical calculation, which provides the basis for the design of this kind of sensor. By analysis and calculation, when the ceramic wafer structure in the piezoelectric oscillator is determined, the resonant frequency of the oscillator increases with the increase of the thickness of the supporting structure and the decrease of the radius. When the ratio of the metal bottom thickness to the total thickness of the oscillator is between 0.5 and 0.75, the resonant frequency changes slowly, and when the thickness ratio exceeds 0.75, the resonant frequency increases rapidly. When the radius ratio of the piezoelectric wafer to the supporting structure varies between 0.4 and 0.9, the resonant frequency increases with the increase of the radius ratio, and the slope increases slightly.
【作者單位】： 沈陽化工大學(xué)計(jì)算機(jī)科學(xué)與技術(shù)學(xué)院;北京信息科技大學(xué)傳感器重點(diǎn)實(shí)驗(yàn)室;
【基金】：國家自然科學(xué)基金資助項(xiàng)目(No.61102041) 遼寧省高等學(xué)校優(yōu)秀人才支持計(jì)劃(LJQ2013043) 北京市教委科技計(jì)劃重點(diǎn)項(xiàng)目(KZ201110772040)
【分類號】：TB53
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2 周利生;圓柱形壓電振子的多維耦合換能器理論[J];聲學(xué)與電子工程;1993年02期
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