基于薄板理论与欧拉梁理论，研究了弯曲波在偏心加筋板中的能量传递特性。通过充分考虑由于加筋偏心引起的面内纵波与剪切波，建立加筋处的耦合方程，然后采用波动法求解不同波型的能量传递系数，并与有限元仿真结果进行对比，验证了理论模型的准确性。在此基础上，研究了波形转换与能量传递系数在频域与入射角度上的特性，并分析了加筋偏心距、加筋高度-板厚比对传递系数的影响。结果表明，弯曲波向面内波的转换存在临界角，且在入射角接近临界角时弯曲波会大量转换为面内波，不可忽略偏心距的影响。
Abstract
Based on the thin plate theory and Euler-Bernoulli beam theory, energy transmission characteristics of flexural wave in an eccentrically stiffened plate were studied. Considering longitudinal wave and shear wave in-plane due to stiffener eccentricity, coupled equations at stiffener were established. Then energy transmission coefficients of different wave types were solved with the wave method, the results were compared with the finite element simulation ones to verify the correctness of the theoretical model. Furthermore, characteristics of elastic wave type conversion and energy transmission coefficient in frequency domain and at wave’s incident angle were investigated to analyze effects of stiffener eccentricity, ratio of stiffener height to plate thickness on energy transmission coefficient. The results showed that there is a critical angle for conversion of flexural wave into in-plane ones, when the incidence angle is close to the critical one, a large amount of flexural wave can be converted into in-plane ones, and the influence of eccentricity can’t be neglected.
关键词
加筋板 /
阻振质量 /
振动传递 /
波动法 /
弹性波
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Key words
stiffened plate /
blocking mass /
vibration transmission /
wave method /
elastic wave
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