Dynamic Optimization of Hydrostatic Supported Worktable System with Circular Oil Recess

In this paper, optimal parameters in hydrostatic supported worktable system with circular oil recess are calculated. The optimal model is established in which the objective is to make natural frequency deviate from speeds of the rotary work axis, and the design variables are recess number, initial oil film thickness and recess radius. As the design variable vector includes both discrete and continuous components, two-phase optimization strategy is developed. Furthermore Fibonacci method is applied to deal with the problem of discrete variable, and response surface methodology is used to form an explicit expression between the objective expression and continuous variables. Then the optimal model is solved by gradient projection method and simplex method. As a result, numerical calculation of dynamic optimization with hydrostatic worktable system with circular recess shows that two-strategy optimization algorithm is stable and effectively.