为探究金属膜片联轴器等多螺栓连接多层结合面的动力学等效建模方法，提出了两种基于虚拟材料层模拟螺栓连接的建模方法。通过赫兹接触理论和分形几何理论求得虚拟材料参数，探究膜片组的结构参数对膜片联轴器整机轴向振动传递特性的影响规律。同时，将金属膜片组件和联轴器整机作为实验对象，进行实验与仿真数据的对比研究。研究表明：金属膜片组件前5阶固有频率平均偏差在5%以内，联轴器整机阻抗曲线吻合较好，频段内的平均偏差在5%以内，曲线峰值对应的频率偏差在3%以内；虚拟材料法适用于多层螺栓连接结合面的等效建模，将每层结合面均等效为一层虚拟材料具有更高的计算精度；膜片数量主要影响第1阶固有频率，随着膜片数量增多隔振效果降低；膜片厚度会对多个固有频率位置产生影响，随着膜片厚度增大固有频率向高频移动，隔振效果逐渐降低。

In order to explore the dynamic equivalent modeling of multilayer joints of multibolt joints such as metal diaphragm couplings, two modeling methods based on virtual material layer to simulate bolted joints were proposed. The virtual material parameters were obtained by Hertz contact theory and fractal geometry theory. The influence law of the structural parameters of the diaphragm group on the axial vibration transmission characteristics of the whole diaphragm coupling was further explored. Meanwhile, the metal diaphragm assembly and the whole coupling were taken as the experimental objects to carry out the comparison of experimental and simulation data. Study results show that the average deviation of the first fiveorder natural frequencies of the metal diaphragm assembly is within 5%, and the impedance curve of the whole coupling is in good agreement. The average deviation in the frequency band is within 5%, and the frequency deviation corresponding to the peak value of the curve is within 3%; the virtual material method is suitable for the equivalent modeling of the multilayer bolted joint surface, and each layer of joint surface is equivalent to a layer of virtual material with higher calculation accuracy; the number of diaphragms mainly affects the firstorder natural frequency, and the vibration isolation effect decreases with the increase of the number of diaphragms; the thickness of the diaphragm will affect the position of multiple natural frequencies. As the thickness of the diaphragm increases, the natural frequency moves to high frequency, and the vibration isolation effect gradually decreases.

U661.44