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对弹性支撑的各向同性矩形板的标准频率进行计算。基于特征灵敏度分析,通过Mauclarin级数和一个闭合屈服方程,对特征参数进行近似计算。近似闭合方程的好处是其计算比较简单有效,且便于重复计算。通过与利用正交多项式和梁形状系数的Rayleigh-Ritz法计算的结果进行对比,验证了近似方程的有效性。通过简支、固定和无支撑等几种组合支撑方式,考虑了各种不同的边界条件。结果表明:敏感分析中对高频率计算的准确性更多地依赖于基函数的选择。
Calculate the standard frequency of an elastically supported isotropic rectangular plate. Based on the characteristic sensitivity analysis, the characteristic parameters are approximated by Mauclarin series and a closed yield equation. The approximate closed equation has the advantage of its calculation is relatively simple and effective, and easy to repeat the calculation. The validity of the approximate equation is verified by comparing with the results of Rayleigh-Ritz method using orthogonal polynomials and beam shape coefficients. By simple support, fixed and unsupported several combinations of support methods, consider a variety of different boundary conditions. The results show that the accuracy of high-frequency calculations in sensitivity analysis depends more on the choice of basis functions.