In this study, the disordered grid interpenetrating structure (DGIS) of wire turns in flexible microporous metal rubber (FMP-MR) for vibration and noise reduction is investigated, and an effective constitutive model is developed to dynamically capture the nonlinear mechanical behavior of FMP-MR. In this model, a micro spring element with adaptive deformation (MSEAD) model with random spatial distribution is employed, based on the phenomena of irregular overlapping and interlacing of material turns. The spatial distribution of micro springs and the evolution of the contact area morphology in FMP-MR are taken into consideration and introduced as key variables in model development. The concept of combined probability distribution (CPD) of micro spring pairs between wire turns in FMP-MR is proposed to characterize the random combination mode of material turns. Eventually, based on the micro-patterns of wire turns in FMP-MR, a constitutive model including macroscopic parameters, such as shape, density, wire diameter, helix pitch, and wire elastic modulus, and microstructure parameters, such as spatial distribution of wire turns, contact shape, and friction coefficient is developed for the first time. By analyzing and discussing the fitting degree of quasi-static compression experimental results and the model constitutive curves, the validity of the proposed constitutive model is quantitatively confirmed by residual analysis. According to the results, the FMP-MR constitutive model based on DGIS can effectively reflect the nonlinear mechanical behavior and complex micro-contact friction phenomena of the material.

本研究研究了柔性微孔金属橡胶（FMP-MR）中用于降低振动和噪声的线匝的无序网格互穿结构（DGIS），并开发了有效的本构模型来动态捕获FMP-M的非线性力学行为。先生。在该模型中，基于材料匝的不规则重叠和交错现象，采用了具有随机空间分布的具有自适应变形的微弹簧元件（MSEAD）模型。FMP-MR中微弹簧的空间分布和接触区域形态的演变已被考虑，并作为模型开发中的关键变量引入。提出了FMP-MR中线匝间微弹簧对的组合概率分布（CPD）的概念，以表征材料匝的随机组合方式。最终，基于FMP-MR中线匝的微观模式，本构模型包括宏观参数（例如形状，密度，线径，螺旋螺距和线弹性模量）以及微观结构参数（例如线的空间分布）首次开发出转弯，接触形状和摩擦系数。通过分析和讨论准静态压缩实验结果与模型本构曲线的拟合程度，通过残差分析定量地验证了本构模型的有效性。根据结果​​，