Analysis and optimization of nonlinear carrying performance of hydrostatic ram based on finite difference method and Runge–Kutta method

Yumo Wang; Zhifeng Liu; Qiang Cheng; Yongsheng Zhao; Yida Wang; Ligang Cai

doi:10.1177/1687814019856128

Advances in Mechanical Engineering (Jun 2019)

Analysis and optimization of nonlinear carrying performance of hydrostatic ram based on finite difference method and Runge–Kutta method

Yumo Wang,
Zhifeng Liu,
Qiang Cheng,
Yongsheng Zhao,
Yida Wang,
Ligang Cai

Affiliations

Yumo Wang: Institute of Advanced Manufacturing and Intelligent Technology, and Mechanical Industry Laboratory of Heavy Machine Tool Digital Design and Testing, Beijing University of Technology, Beijing, China
Zhifeng Liu: Institute of Advanced Manufacturing and Intelligent Technology, and Mechanical Industry Laboratory of Heavy Machine Tool Digital Design and Testing, Beijing University of Technology, Beijing, China
Qiang Cheng: Institute of Advanced Manufacturing and Intelligent Technology, and Mechanical Industry Laboratory of Heavy Machine Tool Digital Design and Testing, Beijing University of Technology, Beijing, China
Yongsheng Zhao: Institute of Advanced Manufacturing and Intelligent Technology, and Mechanical Industry Laboratory of Heavy Machine Tool Digital Design and Testing, Beijing University of Technology, Beijing, China
Yida Wang: Shandong Institute of Space Electronic Technology, Yantai, China
Ligang Cai: Institute of Advanced Manufacturing and Intelligent Technology, and Mechanical Industry Laboratory of Heavy Machine Tool Digital Design and Testing, Beijing University of Technology, Beijing, China

DOI: https://doi.org/10.1177/1687814019856128
Journal volume & issue: Vol. 11

Abstract

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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–Kutta 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.

Published in Advances in Mechanical Engineering

ISSN: 1687-8132 (Print); 1687-8140 (Online)
Publisher: SAGE Publishing
Country of publisher: United Kingdom
LCC subjects: Technology: Mechanical engineering and machinery
Website: https://journals.sagepub.com/home/ade

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