基于多层可行方向法液体静压转台优化设计

DESIGN OPTIMIZATION OF HYDROSTATIC WORKTABLE BASED ON MULTI-LAYER METHOD OF FEASIBLE DIRECTION

为提高液体静压转台的动力学性能,该文从N-S方程着手,计算了液体静压油腔处的动压承载力。通过供油压力计算了同位置处的静压承载力,利用动压承载力和静压承载力的相互叠加,计算了液体静压导轨综合承载力,继而推导了油膜刚度的计算公式。在此基础上,建立了以综合承载力和油膜刚度为目标函数,以液体静压转台的振动基频为约束的优化模型,利用响应面方法和分层可行下降方向法对优化模型进行了求解,并对优化后的设计进行了瞬态冲击载荷下加工精度的验证,从而为工程设计提供了理论依据。

To improve the dynamic performance of a hydrostatic worktable, this paper gives a formula of hydrodynamic loads at a hydrostatic recesses firstly. Next the static bearing capacity load of an oil film from an oil pump at the same recesses is calculated. Then both dynamic and static bearing capacity loads are integrated as a formula. Based on the formula, the oil film stiffness is inferred. On the next stage, an optimization design model of a benchmark hydrostatic worktable system is established, in which the optimal target is to maximize integrated bearing capacity loads and oil film stiffness mentioned above, and the constraint is the frequency at the first order. Next response surface methodology and multi-layer method of a feasible direction are applied to solve the optimal model. Finally, the analysis for time history response under a transient impact load is completed to check over the working accuracy of a finished optimal structure. Overall the optimal results and methodology provide a theoretical basis in new generation design of practical structures.