In the optimization design of the gear hobbing machine bed, the finite element model is build and the static analysis and vibration modal analysis are performed. Then sensitivity analysis is used to gain the main design parameters which influence the bed property most. Furthermore, the multi-objective optimization design of the bed is performed in ANSYS Workbench with these design parameters as the design variables. At last, after all optimum proposals are showed up, Analytic Hierarchy Process is used to determine the weighting coefficient, and the most optimal solution is found out. As a result, the dynamic and static performances of the machine bed are improved under control of the machine bed mass.

TX1600 boring and milling machining center milling part was studied. The Three-dimensional solid model was established based on Solidworks. Simultaneously, modal analysis was carried out by ANSYS Workbench software, the first six natural frequencies and corresponding modes were acquired. Based on the modal analysis, the harmonic response analysis of milling part was conducted,and the response curves of the three main motion orientation were obtained respectively, the vibration performance of milling part under forces was further explored,and the finite element model was validated. The feasibility of the model to simplify the program was verified by modal and harmonic response analysis. The study provides a good basis in terms of selecting a specific material. The structures and material are optimized. Ultimately, a lot of energy is saved.

To obtain a prediction model of the equivalent parameters of cylindrical fixed joint, a model based on the micro-element cylinder method was proposed. Although the model based on the micro-element plane method could achieve the goal we wanted to some extent, there was a limitation to the characterization of vector direction and microscopic angle of cylindrical fixed joint; the prediction model of equivalent rotating contact stiffness and equivalent axial contact stiffness based on the micro-element cylinder method was more consistent with the actual contact state of cylindrical fixed joint, consequently, it made up for the shortage of the micro-element plane method; finally, the prediction model was successfully applied in the project, and the feasibility was verified. A new effective way for solving the similar problem is opened up by the model and it also lays a theoretical foundation for the following study of dynamic characteristics.

To obtain a prediction model of the equivalent parameters of rolling guide's joint, an F-P-KC prediction model was established based on force, pressure and equivalent parameters. Firstly, according to the linear assumption of physical parameters within the rated range, an F-P model was established in the consideration of the loads, types and installing modes of guide’s slider group; secondly, a P-KC model was established in terms of the result of the media condition of joint surface; finally, the prediction model was successfully applied in the project, and the feasibility was verified. A new effective way for solving the similar problem is opened up by the model and it also lays a theoretical foundation for the following study of dynamic characteristics.