含周期裂纹的平板弯曲波反射与透射问题的研究

Research on reflection and transmission of elastic wave in thin plates with a periodic cracks

受损伤的固体中含有的微裂纹或微孔洞往往具有周期性,对含周期性缺陷的结构中弹性波分析是力学研究中的重要课题,它直接关系到结构的强度和使用寿命。目前对损伤固体中弹性波散射与透射研究结果主要是弹性动力学平面问题。本文基于弹性动力学理论,分析研究了含有横向周期裂纹的平板中弯曲波的反射与透射问题。给出含有横向周期裂纹的平板中弯曲波的反射波与透射波系数的数值结果。

There. is usually an array of periodic＇, cracks in damaged solids. It is an important subject, which is related directly with the intensity and lifetime of the structure, to research on elastic wave in mechanic. Presently, it is focus on the plane problem of elastic dynamics to research on the reflection and transmission of elastics waves in damaged solids. Based on the theory of elastic dynamics, using the governing equation of thin plates, the reflection and transmission of flexural wave in thin plates with an array of periodic cracks were. studied. The analytic results, they can be used in vibration design and control in engineering, of reflection and transmission coefficients were obtained.