## 1 Introduction
proposed a V-shaped folded ABH beam, and the numerical simulation and experimental results show that the V-shaped folded ABH beam has an ultra-wide and complete band gap below 1 kHz, which is expected to be used for low-frequency vibration reduction and wave attenuation [21]. [PERSON] et al. experimentally measured the average mobility and radiated sound power of the surface of the aluminum plate embedded with 20 two-dimensional ABH arrays attached with damping layers [22]. The results showed that compared with the reference plate of uniform thickness, the average surface mobility of the fully damped ABH plate is reduced by up to 14 dB. [PERSON] et al. experimentally studied the influence of the power-law contour grooves in the plate on the damped flexural vibration of the one-dimensional ABH structure [23] and carried out experiments to study the vibration response of the two-dimensional ABH structures, mainly including rectangular and circular ABH plates which are made of steel, aluminum or composite materials and contain circular indentations or dimples wedge [24; 25]. Besides, traditional ABH structures cannot be changed to different frequencies, and [PERSON] et al. found that the active control can be applied to black hole characteristics of the flexural wave, which can provide a much wider frequency region [26; 27]. The acoustic black hole can concentrate flexural waves in the structure at or near the ABH region, and with the help of the damping layer or other additional components to dissipate flexural wave energy, it can achieve a good effect of suppressing structural vibration with a very small amount of damping layer. However, most of the current research on ABH still stays in the basic theory, and expanding the application research of ABH structures in different engineering fields to achieve better vibration reduction effects in practice is one of the main issues needed to be studied for the ABH [28]. The compressor is the core component of the refrigerator, and when the compressor works, the internal motor drives the piston to reciprocate. At this time, the working torque of the piston, the unbalanced moment of inertia of the structure, the friction between the moving pairs, the electromagnetic force inside the motor, etc., can all cause vibration [29], and the generated vibration is transmitted to the compressor shell and further to the support plate and the body of the refrigerator. The vibration of the compressor is the main source of vibration for all types of refrigerators. Since the refrigerator compressor is generally a fully enclosed structure, it is often difficult to optimize internal structures to reduce compressor vibration. Therefore, blocking the transmission of compressor vibration to the refrigerator body as much as possible is an important method to solve such problems. The support plate is an important component connecting the compressor and the refrigerator body, and almost all vibrations generated by the compressor are transmitted to the refrigerator body through the support plate. Utilizing the concentration effect of the ABH on flexural waves, it is expected to concentrate the vibration energy of the compressor in the ABH region by embedding ABHs on the support plate. At this time, the gathered vibration energy cannot be transferred to the refrigerator body through the support plate. Therefore, it is feasible to apply the ABH to suppress the propagation of refrigerator compressor vibration. In this paper, the vibration and noise measurement and analysis of key components such as the compressor and the support plate were carried out, and then the damping ABHs were embedded in the support plate, and the effect of the damping ABHs in suppressing the vibration transmission of the compressor was studied through numerical simulation. It is expected to provide a certain reference and guidance for the application of ABHs in the field of home appliances for vibration reduction. To our best knowledge, this paper is the first to study the vibration suppression effect of ABH on refrigerators.