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Post-yield characteristics of magnetorheological fluids; from modelling to large-amplitude vibration analysis of sandwich plates using nonlinear finite element method

机译:磁流变的后产量特征;非线性有限元法从夹心板大振幅振动分析模拟

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摘要

The present study concerns with post-yield characterization of magnetorheological (MR) fluid and development of a phenomenological model representing the linearized equivalent storage and loss moduli of the fluid in the nonlinear region. It also investigates the nonlinear vibration behaviour of MR based sandwich plates undergoing large amplitude oscillation. To this end, using a magneto-rheometer, the equivalent storage and loss moduli associated with the first harmonic of the measured nonlinear stressstrain data are evaluated under varying shear strain amplitude and magnetic flux intensity. A simple phenomenological model is subsequently proposed to quantify the post-yield moduli of the MR fluid in terms of shear strain magnitude and applied magnetic field. Using the developed model combined with the classical plate theory (CPT), von Karman's formulation and Hamilton's principle, the nonlinear governing equations of motion of the sandwich panel incorporating MR fluid as the core layer have been developed in the finite element form. Displacement control strategy is used to solve the nonlinear equations and identify dynamic characteristics of the structure in terms of natural frequency and loss factor. The results are then compared with those available in literature to validate the developed model. Finally, the developed model has been employed to investigate the effects of post-yield characteristics of the MR fluid, maximum vibration amplitude and applied magnetic field on the nonlinear dynamic characteristics of the MR sandwich panels. (C) 2021 Elsevier Masson SAS. All rights reserved.
机译:本研究涉及磁流变(MR)流体的产量表征以及表示非线性区域中的流体的线性化等同物储存和损耗模量的现象学模型的发展。它还研究了大振幅振荡的基于MR基夹芯板的非线性振动行为。为此,使用磁流变仪,在不同剪切应变幅度和磁通量强度下评估与测量的非线性应力串数据的第一谐波相关联的等效存储和损耗模量。随后提出了一种简单的现象模型,以在剪切应变幅度和施加的磁场方面量化MR流体的产率模量。使用开发的模型与经典板理论(CPT)相结合,von Karman的配方和汉密尔顿的原理,夹层板的非线性控制夹在有限元形状中作为芯层的夹层板的运动的运动方程。位移控制策略用于解决非线性方程,并在固有频率和损耗因子方面识别结构的动态特征。然后将结果与文献中可用的结果进行比较,以验证开发的模型。最后,已经采用开发的模型来研究MR流体,最大振动幅度和施加磁场的产量特征对夹层夹芯板的非线性动态特性的影响。 (c)2021 Elsevier Masson SAS。版权所有。

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