【摘要】：將譜方法應(yīng)用于平板和充水圓柱管中彈性波頻散曲線的計算,采用Chebyshev插值和微分矩陣把本征方程離散為一系列線性方程.將超越方程搜根問題轉(zhuǎn)化為廣義本征值求解問題,求得的本征值即為波數(shù),改變頻率進而獲得彈性波頻散曲線.計算算例表明,與搜根方法相比,該方法回避了大量特殊函數(shù)的計算,因而計算速度更快并且更易實現(xiàn);將此方法得到的頻散曲線與搜根方法的結(jié)果進行比較,證明該方法是合理的、可行的.
[Abstract]:The spectral method is applied to the calculation of elastic wave dispersion curves in flat and water-filled cylindrical tubes. The intrinsic equations are discretized into a series of linear equations by Chebyshev interpolation and differential matrix. The root search problem of transcendental equation is transformed into a generalized eigenvalue problem. The obtained eigenvalue is wavenumber. The frequency is changed and the elastic wave dispersion curve is obtained. The calculation examples show that the method avoids the calculation of a large number of special functions compared with the root search method, so it is faster and easier to implement. The results of the dispersion curve obtained by this method are compared with the results of the root search method, and it is proved that the method is reasonable and feasible.
【作者單位】： 上海交通大學(xué)高新船舶與深海開發(fā)裝備協(xié)同創(chuàng)新中心海洋工程國家重點實驗室;勒芒大學(xué)聲學(xué)實驗室;
【基金】：青年科學(xué)基金項目(11504233)資助
【分類號】：O347.41

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