## 1 Introduction  
Magnetroheological elastomer (MRE) is a type of composite material whose magnetic field-dependent particles are suspended within non-magnetic elastomer matrix [1, 2, 3], and is considered a \"smart\" material. Magnetic field effect can cause variations in stiffness and damping properties and make this material more adaptive and controllable, thereby creating a wide range of prospects for the application of this type of vibration isolation [4; 5; 6]. The MREs have an ability to change their mechanical properties with the external magnetic field [7; 8; 9; 10; 11; 12; 13; 14]. Limited and narrow working frequency bandwidth is regarded as the biggest disadvantage of traditional MR absorbers. To improve the performance of energy dissipation, an MRE-based absorber was studied to enhance shift-frequency property and vibration absorption capacity [15]. An active-damping MRE-based vibration absorber was presented and theoretically analyzed [16]. A frequency tunable passive absorber was developed to suppress vibration and provide good controllability of structures [17]. An axial semi-active MRE-based dynamic vibration absorber was designed to achieve good vibration absorption capacity [18]. The resonance shift property of MRE was studied to verify the nonlinearity and adaptability of the absorber, which had wider effective frequency bandwidths [19]. Due to energy absorption and damping characteristics of MRE absorbers, it is concluded that this material has potential application in seismic isolation [20; 21; 22; 23]. Some scholars have carried out a series of investigations and reviews on MRE Isolators. A proposed variable stiffness and damping isolator was developed by appropriately designing a magnetic circuit optimally passing through MRE layers [24]. An innovative MRE-based isolator was designed with adjustable lateral stiffness to protect structures against near- or far-fault earthquakes [25]. The shear forces were forecasted in real-time and the hysteretic behavior was characterized from the test data of an MRE isolator [26]. An adaptive isolator was developed when a suitable preload and magnetic field were applied together [27]. An MRE isolation system was developed to attenuate the severe vibration of inertial measurement units in three directions [28]. A new variable stiffness and damping isolator was verified in a scaled building with a Lyapunov-based control scheme [29]. The effectiveness of an MRE-based isolation device was proved by implementing it in a single story building structure with fuzzy logic control under seismic excitation [30]. An improved semi-active variable stiffness control law was proposed to achieve better efficiency than traditional on-off control law. The inverse dynamics of an MRE-based isolator was established based on optimal general regression neural network, and an LQR controller was utilized for real-time semi-active vibration control [31]. As a brief review of the literature on the application of MRE materials for seismic isolation indicates, several studies have also been conducted regarding the fabrication and implementation of MRE materials for utilization in civil and mechanical structures. However, to the best of the authors' knowledge, limited work has been reported on the novel MRE with multiwall carbon nanotubes (MWCNTs), which is a new approach to functionally enhance the magnetorheological behavior of traditional MRE. Compared to traditional MRE, MRE with MWCNTs was developed by mixing carbon nanotubes or acetone contents during the curing process. With such additives, the magnetic-induced property of MRE could be enhanced and improved [32; 33]. The MRE with MWCNTs will be a novel MRE adaptive seismic isolator, which is the focus of the study presented in this manuscript. Micro and macro mechanical properties have always been the focus of scholarly research, which can help us better reveal the physical behavior of materials under stress. The physical phenomenon of MRE is similar to MR fluids.