Research On The Design Method Of Ultrathin Circular Saw Blade Slot Structure Based On Topology And Shape Optimization

Ultra-thin carbide circular saw blades have attracted much attention in the wood processing industry because of their low sawpath loss and high material yield.However,in the practical application,the lateral vibration of ultra-thin circular saw blades will lead to the degradation of processing quality,and also produce noise and other problems,which becomes an important factor to restrict its ultra-thinness.Although the optimized design of slot structure can effectively reduce the vibration and noise of circular saw blade,its design and optimization still lack theoretical support at present.In order to solve the above problems,a method based on the combination of topology optimization and shape optimization is proposed to optimize the design of slot structure of ultra-thin carbide circular saw blades.The study provides a new idea and method for the optimized design of slot structure of ultra-thin carbide circular saw blade,which is important for realizing the efficient and stable processing of ultra-thin circular saw blade.Taking the ultra-thin carbide circular saw blade as the research object,the Krichhoff theory is used to simplify it into a thin plate problem and analyze its transverse vibration mechanism.The finite element model of the ultra-thin carbide circular saw blade is automatically established by writing a script program using APDL,and the solution and postprocessing are carried out to obtain the intrinsic frequency,vibration pattern and the overall amplitude of each frequency band.The analysis results provide data support for further optimization of the slot structure.An idea is proposed to solve the slot optimization problem of ultra-thin carbide circular saw blade,which is transformed into a topology optimization problem and a shape optimization problem.By adopting the variable density method for topology optimization of the ultra-thin carbide circular saw blade,the saw blade substrate with the teeth and flange clamping position removed is taken as the optimization object,the mass of the circular saw blade removed is taken as the constraint,the pseudo density of the circular saw blade unit is taken as the design variable,and the flexibility of the circular saw blade is taken as the objective function to obtain the design area of the slot structure.On this basis,the design idea of generating the slotted structure in the design domain through four stages of point-line surface-space structure is proposed.Based on the harmonious response analysis of the pattern search algorithm,the shape and dimensional parameters of the slotted structure in the design region are optimized by the joint simulation of MATLAB/ANSYS.The optimization results show that the "M" slot structure,with a radial length of 28.6 mm and a width of 0.62 mm,not only ensures the overall stiffness of the circular saw blade,but also effectively reduces the overall amplitude of the saw blade.In addition,the sensitivity analysis of the shape and dimensional parameters of the slot structure was conducted,and it was found that the influence of the shape of the slot structure on the vibration damping effect was greater than that of its dimensional parameters.The experimental modal analysis was carried out using the hammering method with the customized non-slotted circular saw blade and the slotted circular saw blade after optimizing the slotted structure,and the experimental data were compared with the calculated modal analysis results.The results show that the relative error between the experimental results and the numerical simulation results is within 5%,which proves the reliability of the simulation experimental analysis.