Magnetorheological (MR) gel as a novel group of field-induced smart materials, which is composed of micro-or sub-microferromagnetic and carrier polymer soft gel. Its rheological properties, i.e., dynamic viscoelasticity in the oscillatory shear mode can be controlled by applied magnetic flux density. [1,2] Therefore, MR gel has a great potential engineering application, which absorbs significant recognition in the community. [3][4][5] The viscoelastic rheological behaviors under the action of the magnetic field have the characteristics of reversible, significant, and instantaneous, which make MR gel a significant candidate in the engineering applications such as damper, clutch, brake, and valve. [6][7][8][9][10][11] Many of those MR devices are adopted to control vibration or shock absorption by consuming mechanical energy and convert it into the internal energy of MR materials. [12][13][14][15] Such dissipative work of the magnetorheological absorb system will heat the MR device and undoubtedly result in a temperature rise. Therefore, increasing the materials operating temperature will in turn affect the engineering applications of materials, such as the complexity of the control model and control accuracy.Most MR devices such as MR damper works in the dynamic mode. Therefore, the dynamic behaviors controlled by the magnetic field of the MR materials have attracted increasing attention in the community. The most obvious change in the mechanical properties of MR materials under the dynamic shear is viscoelastic behaviors, which are affected by many factors, i.e., magnetic field, composition, temperature, weight of soft magnetic particle, and additives. Li et al. [16] have performed experimental and modeling investigations of viscoelastic characteristics of MR elastomer under sinusoidal excitations. The experimental results show that the MR elastomers behave as linear viscoelastic properties and the modeling study shows that the four-parameter viscoelastic model has a great potential to describe the hysteresis