%0 Journal Article
%T Analysis and optimization of nonlinear carrying performance of hydrostatic ram based on finite difference method and Runge¨CKutta method
%A Ligang Cai
%A Qiang Cheng
%A Yida Wang
%A Yongsheng Zhao
%A Yumo Wang
%A Zhifeng Liu
%J Advances in Mechanical Engineering
%@ 1687-8140
%D 2019
%R 10.1177/1687814019856128
%X Analyzing of nonlinear carrying performance of hydrostatic ram is among key research questions to improve heavy machine tools because the machining precision will be directly influenced by it. A dynamic model of nonlinear supporting characters for hydrostatic ram is developed in this work. Modified Reynolds equation is resolved by finite difference method numerically to determine the carrying capability. Dynamic equilibrium equation of hydrostatic ram under cutting force impact is solved by Runge¨CKutta method to obtain the variation of tool tip position and evaluate the machining accuracy. An optimal oil supply rate allocation and oil pad size is proposed to improve the static and dynamic performance simultaneously based on method of bisection
%K Hydrostatic ram
%K dynamic characteristic optimization
%K parameter reallocation
%K FDM
%K RKM
%K experiment
%U https://journals.sagepub.com/doi/full/10.1177/1687814019856128