【摘要】：階梯型輻射體具有輻射面積大、輻射效率高等優(yōu)點,在大功率超聲領域被廣泛應用。在高頻大功率聲輻射條件下,薄盤的機械強度明顯不足;因此應考慮用厚板。從聲學工程力學應用角度研究,基于Mindlin理論推導了新型階梯環(huán)形變幅器自由邊界條件下的彎曲振動頻率方程;并對頻率方程進行數值求解和有限元模擬及實驗測試;同時還研究了各結構參數及材料對變幅器頻率的影響。結果表明,自由邊界條件下,有限元模擬結果與厚板理論計算結果都比較接近實驗測試結果,誤差較小。當其他參數一定時,在厚板范圍內,前三階頻率隨圓盤基底厚度、圓盤厚度的增加而增加;隨內半徑和外徑的增加減小;隨階梯半徑的增大而增大。所取材料的前三階有限元模擬頻率與厚板理論計算結果誤差較小,其中45號鋼頻率最大,而銅頻率最小,鋁頻率居中,研究結論對大功率階梯型輻射體及輻射器的設計和應用提供理論參考和頻率調試依據。
[Abstract]:Stepped radiators are widely used in the field of high power ultrasound because of their advantages of large radiation area and high radiation efficiency. Under the condition of high frequency and high power acoustic radiation, the mechanical strength of the thin disk is obviously insufficient, so the thick plate should be considered. Based on the theory of Mindlin, the frequency equation of bending vibration is derived from the application of acoustical engineering mechanics, and the frequency equation is solved numerically, simulated by finite element method and tested experimentally. At the same time, the influence of structural parameters and materials on the frequency of the transducer is also studied. The results show that the results of finite element simulation and the theoretical calculation of thick plates are close to the experimental results under free boundary conditions, and the error is small. When other parameters are fixed, the first three order frequencies increase with the thickness of the substrate and the thickness of the disk, decrease with the increase of the inner radius and outer diameter, and increase with the increase of the step radius in the thick plate. The error between the first three order finite element simulation frequency of the material and the result of thick plate theory is small, among which 45 steel frequency is the largest, copper frequency is the least, and aluminum frequency is the middle. The results provide theoretical reference and frequency adjustment basis for the design and application of high power stepped radiators and radiators.
【作者單位】： 渭南師范學院數理學院;
【基金】：陜西省教育廳自然科學專項(15JK1250) 陜西省軍民融合研究基金項目(17JMR35) 渭南師范學院校級項目(17YKS08);渭南師范學院校級教改項目(JG201648)資助
【分類號】：TB55

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1 薛開;王久法;李秋紅;王威遠;王平;;Mindlin矩形板在任意彈性邊界條件下的振動特性分析[J];哈爾濱工程大學學報;2014年04期

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本文編號：2261569