Abstract To better exert the vibration suppression effect of magnetorheological elastomer (MRE) embedded into a composite structure with structural and functional integration advantage, this study proposes a nonlinear analytical model of such composite plate with an MRE function (MREF) layer, accounting for internal magnetic and temperature fields for the first time. Initially, a 9-layer fiber metal laminated (FML) plate with the MREF composites, consisting of two layers of metal protective skins, two layers of fiber-reinforced polymer (FRP) and one layer of MREF, is taken as an example to describe such a modelling method. Nonlinear expressions of elastic moduli of MRE and FRP involving thermal and magnetic fitting coefficients are also proposed, followed by derivation of the energy expressions of the constituent layers by the Rayleigh-Ritz method. After the free and forced vibrations are solved, the identification procedure of fitting coefficients is described and some literature results are employed to preliminarily validate this model without consideration of internal magnetic field or temperature field or both. Finally, dynamic experiments under different magnetic and temperature conditions are undertaken. The detailed comparison of the natural frequencies and resonant responses are conducted to provide a solid validation of the model developed. It has been found that enlarging the magnetic and temperature fields both facilitate the improvement of the anti-vibration performance. Also, by further increasing the shear modulus of MRE, the volume fraction of carbonyl iron particles or the thickness ratio of the MRE layer to the overall structure, a better vibration suppression capability can be obtained.

中文翻译：

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考虑内部磁场和温度场的具有MRE功能层的复合板结构非线性分析模型

摘要 为了更好地发挥嵌入具有结构和功能一体化优势的复合材料结构中磁流变弹性体（MRE）的振动抑制作用，本研究提出了具有磁流变功能（MREF）层的复合板的非线性分析模型，考虑了内部磁性。和温度场第一次。首先，以带有MREF复合材料的9层纤维金属层压（FML）板为例，该板由两层金属保护皮、两层纤维增强聚合物（FRP）和一层MREF组成。这样的建模方法。还提出了涉及热和磁拟合系数的 MRE 和 FRP 弹性模量的非线性表达式，然后通过 Rayleigh-Ritz 方法推导了组成层的能量表达式。在解出自由振动和受迫振动后，描述了拟合系数的识别过程，并利用一些文献结果对该模型进行了初步验证，而无需考虑内部磁场或温度场或两者。最后，进行了不同磁场和温度条件下的动态实验。进行自然频率和共振响应的详细比较，以提供对所开发模型的可靠验证。已经发现，扩大磁场和温度场都有助于提高抗振性能。此外，通过进一步提高 MRE 的剪切模量、羰基铁颗粒的体积分数或 MRE 层与整体结构的厚度比，