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基于材料透射阻抗的定义阐述了粘弹性材料的局域和非局域性质,并阐述了阻抗矩阵和频响函数矩阵之间的关系.通过将声压表面力的分布离散为等效点力的方法导出了频响函数表达式.基于频响函数矩阵元素的表达式,对粘弹性材料平板进行了点力激振下振动透射的频响测量实验,同时用粘弹性有限元方法数值计算了该板的振动频率响应,实验和数值结果的一致不但验证了粘弹性材料频率响应和声阻抗的非局域特性,也说明了实验及数值方法的正确,为进一步研究打下基础.
Based on the definition of material transmission impedance, the local and non-local properties of viscoelastic material are expounded and the relationship between impedance matrix and frequency response function matrix is expounded. By dispersing the distribution of sound pressure surface force into equivalent point force The frequency response function expression is derived.According to the expression of matrix element of frequency response function, the frequency response experiment of vibration transmission of viscoelastic material plate under point excitation is carried out, and the viscoelastic finite element method is used to calculate the frequency response The vibrational frequency response of the plate, the agreement between the experimental and numerical results not only verify the non-local characteristics of the frequency response and acoustic impedance of the viscoelastic material, but also demonstrate the correctness of the experimental and numerical methods and lay the foundation for further research.