## 1 Introduction
The optimized worktable maintained its original static rigidity performance while enhancing its dynamic performance. Additionally, the original structure weight was reduced to achieve a better worktable design [12]. [PERSON] et al. (2010) proposed an optimal design approach for a machine tool bed structure, which consisted of three stages: first, a reasonable and simplified model called the \"fiber model\" was applied to optimize the layout of stiffner plates within the bed structure. Second, detailed sizing optimization was performed on the stiffner plates and support blocks under the bed. Third, a topology design optimization for the distribution of the manufacturing hole in bed structure was executed. A typical cylindrical grinding machine tool bed was chosen as an example to validate the proposed method. The results demonstrated the effectiveness of this approach, and it led to an improvement in the structural eco-efficiency [13]. [PERSON] et al. (2008) used a structural bionic approach based on the configuration principles of biological skeletons and plant stems to redesign the stiffner ribs of a machine tool column to improve its static and dynamic performance. After verifying the lightening effects through finite element simulations, scaled-down models of both the conventional column and the bionic column were manufactured and tested. The results showed that both the maximum static displacement and mass could be reduced, and a better dynamic performance with an increase in the first two natural frequencies was exhibited for the bionic column. Structural bionic design proved to be effective in enhancing the static and dynamic structural performance of high-speed machine tools [14]. [PERSON] et al. (2016) proposed a method for arranging the frame of a heavy-duty lathe to distribute forces along the coordinate axes loads that act on the machine tool during operation. A three-dimensional mathematical model of the large bearing system for the heavy-duty lathe was developed, which accounts for typical and boundary loads. On-site tests were conducted to analyze the frame's movement along the coordinate axes under high loads. Physical modeling and study of the support structure for the heavy-duty lathe were carried out using simulation software. A method for studying the composite bed accuracy through mathematical modeling was developed. By using the preliminary calculation results as boundary conditions of contact deformation for designing individual load-bearing structures, a support structure technique for heavy machinery was designed. The design geometry of the cross section with the lowest possible weight while meeting specified performance and precision machining standards was achieved and allowed. The results showed the design of a high-precision heavy-duty lathe frame with a load capacity of 100 tons, capable of machining up to 12.5 m in length and 2.5 m in diameter, with a maximum cutting force of 200 kN. Recommendations for designing CNC high-precision heavy-duty machine tool bearing systems were provided [15]. [PERSON] et al. (2023) conducted a study to examine structural optimization of machine tools using finite element analysis. The stability of the structure under the influence of cutting forces is crucial for achieving machining precision. To initiate the investigation, a machine tool structure was created, and cutting forces were estimated for different wood and aluminum samples using an energy method. Initially, static and dynamic analyses were performed on the initial structure, and maximum displacement values and modal frequencies were recorded. Subsequently, structural optimization was carried out by using stiffener plates with a fixed mass constraint rate of the initial volume. The optimized structure was reanalyzed and reductions of the maximum static and dynamic displacements were achieved. Furthermore, the modal frequencies of the optimized structure increased as compared to the original structure, which increased the gap with excitation frequencies and thereby avoided resonance occurrence.