###### Abstract
[14] designed honeycomb structures with negative Poisson's ratio (NPR) curved concave edges. The Poisson's ratio and energy absorption capacity were studied with different arc angles at different compression speeds using finite element methods. Studying gradient structures can provide important references for the editable performance of composite structures. The study and comparison of the compression performance of positive gradient auxetic  
Figure 1: The damage to logs and the feeding roller of LAKO 43 forest harvester [7]. honeycomb (PGAH) and negative gradient auxetic honeycomb (NGAH) indicate that NGAH is an ideal energy-absorbing structure [15]. Significant progress has also been made in researching some unique gradient structures, such as parallel [16] and chiral [17; 18] gradient structures. The feeding roller mainly bears cyclic loads during the feeding stage. In this regard, scholars have studied honeycomb structures' mechanical properties and energy evolution under multiple loads. An experiment of graded cyclic loading and unloading shows that the honeycomb's initial peak strength and platform stress are related to the level of release of the elastic properties of the honeycomb during the unloading process [19]. In addition, the honeycomb has greater platform stress and platform stress efficiency under cyclic loading [20]. [PERSON] et al. [21] analyzed the fatigue failure modes and damage mechanisms of paper honeycomb sandwich structures, proposed a method for predicting the fatigue life of honeycomb sandwich structures, and verified its feasibility. [PERSON] et al. [22] designed a reusable gradient negative stiffness (GNS) honeycomb structure and verified the repeatability of the honeycomb using numerical simulation and cyclic compression experiments. Combined with the results of impact experiments, it was concluded that the new GNS honeycomb has better buffering performance than the NNS honeycomb. For the crushing behavior of honeycomb structures, [PERSON] et al. [23] studied the initial yield behavior of bent hexagonal honeycomb under shear compression composite loads and the relationship between geometrical parameters and initial peak stress. Another issue with applying honeycomb structures to feed rollers is studying the mechanical properties of cylindrical honeycomb structures. [PERSON] et al. [24] studied the effects of transverse shear and orthogonal anisotropy on the modal density of circular honeycomb and derived mathematical expressions. [PERSON] et al. [25] analyzed the deformation characteristics and Poisson's ratio relationship between cylindrical and planar metastructures. They found that when the number of circumferential unit cells exceeds a specific value, the Poisson's ratio of cylindrical metastructures is close to that of planar metamaterials. [PERSON] et al. [26] studied the cylindrical shell formed by the curling of honeycomb bread, and analyzed the crushing behavior and mechanism of the cylindrical shell. [PERSON] et al. [27] proposed a new cylindrical honeycomb structure of vertically stacked double-arrow honeycomb (DAH). After establishing a mechanical performance analysis model, it was validated through a finite element model. [PERSON] et al. [28] studied the response problem of inclined impact by applying loads in axisymmetric shape changes on viscoelastic circular honeycomb walls. There is insufficient research on the rolling state of circular honeycomb structures, with non-pneumatic tires (NPT) being the main application of fitting honeycomb structures into roller-shaped spaces. The performance of NPT is better than that of traditional pneumatic tires. Studies have shown that the maximum stress on NPT spokes and tread is much lower than that of traditional pneumatic tires, but their load-bearing capacity is higher than that of traditional pneumatic tires [29]. The study of dynamic behavior has been carried out in the extensive research on pneumatic tires.