Method For Designing Bed Structure Of Machining Center Based On Topology Optimization And Response Surface Analysis

The machine tool is also called industrial mother machine,which is a machine for processing and producing other equipment.As a cradle that gave birth to a country's industry,machine tools have a pivotal position.As a country's basic industry,it is related to the strength of the country's national defense,military industry,and science and technology.It also has a profound impact on the national economic development.This paper takes the machining center bed as the research object,and from the perspective of the optimization of the main support bed performance of the vertical machining center,proposes a design method for the machining center bed structure based on topology optimization and response surface analysis.The main content of the full text includes:(1)Solve and calculate the variable-load milling force on the bed of the machining center,and analyze the transmission path of the milling force of the machining center to distinguish different working conditions during the milling process.The variable load milling force component lateral feed force,longitudinal feed force,vertical feed force and its loading position and direction are calculated.(2)Based on the parametric modeling of Solid Works and the pre-processing of the ANSYS finite element model,the average frequency method and the compromise planning method are used to build a mathematical model of topology optimization with variable density method.The gray fuzzy analytic hierarchy process is introduced to determine the weight coefficient value of each sub-goal in the process of topology optimization,and finally the weight coefficient of the natural frequency sub-goal and the flexibility sub-goal.With the help of the improved variable density method topology optimization difference model,the optimal material distribution model of the topological optimization of the machining center bed is obtained.(3)The optimization of the key structural dimensions of the machining center bed is based on topological optimization.Sensitivity analysis is performed on several structural dimensions that constitute the machining center bed unit to determine the influence of the structural dimensions on the unit structure quality and natural frequency.The sample space points are constructed with the help of the optimal filling space design method,and the size variation range is between the set areas.The obtained sample space points are fitted to theresponse surface to construct a second-order response surface with the structural element quality and natural frequency as the target.The MOGA multi-objective genetic algorithm is used to optimize the response surface.Bring the obtained candidate point size into the structural unit.Obtain the best solution for the optimization of the bed size of the machining center.(4)The example of structural optimization scheme adopted in this paper is verified to prove the reasonable effectiveness and feasibility of the research scheme in this paper.By comparing the performance parameters before and after optimization,it is found that the third-order natural frequency of the bed of the optimized machining center has been effectively improved,the quality of the bed has been reduced,the maximum deformation has been reduced,and the maximum stress has been reduced.The optimization scheme makes the structure layout of the bed of the machining center more reasonable and effective,and realizes the design of the structure scheme.