Model-Based Design Approach to Improve Performance Characteristics of Hydrostatic Bearing Using Multivariable Optimization

Waheed Ur Rehman, Xinhua Wang, Yiqi Cheng, Yingchun Chen, Hasan Shahzad, Hui Chai, Kamil Abbas, Zia Ullah and Marya Kanwal
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Waheed Ur Rehman: College of Mechanical Engineering and Applied Electronics Technologies, Beijing University of Technology, Beijing 100124, China
Xinhua Wang: College of Mechanical Engineering and Applied Electronics Technologies, Beijing University of Technology, Beijing 100124, China
Yiqi Cheng: College of Mechanical Engineering and Applied Electronics Technologies, Beijing University of Technology, Beijing 100124, China
Yingchun Chen: College of Mechanical Engineering and Applied Electronics Technologies, Beijing University of Technology, Beijing 100124, China
Hasan Shahzad: College of Mechanical Engineering and Applied Electronics Technologies, Beijing University of Technology, Beijing 100124, China
Hui Chai: College of Mechanical Engineering and Applied Electronics Technologies, Beijing University of Technology, Beijing 100124, China
Kamil Abbas: College of Mechanical Engineering and Applied Electronics Technologies, Beijing University of Technology, Beijing 100124, China
Zia Ullah: College of Mechanical Engineering and Applied Electronics Technologies, Beijing University of Technology, Beijing 100124, China
Marya Kanwal: College of Mechanical Engineering and Applied Electronics Technologies, Beijing University of Technology, Beijing 100124, China

Mathematics, 2021, vol. 9, issue 4, 1-15

Abstract: Research in the field of tribo-mechatronics has been gaining popularity in recent decades. The objective of the current research is to improve static/dynamics characteristics of hydrostatic bearings. Hydrostatic bearings always work in harsh environmental conditions that effect their performance, and which may even result in their failure. The current research proposes a mathematical model-based system for hydrostatic bearings that helps to improve its static/dynamic characteristics under varying conditions of performance-influencing variables such as temperature, spindle speed, external load, and clearance gap. To achieve these objectives, the capillary restrictors are replaced with servo valves, and a mathematical model is developed along with robust control design systems. The control system consists of feedforward and feedback control techniques that have not been applied before for hydrostatic bearings in the published literature. The feedforward control tries to remove a disturbance before it enters the system while feedback control achieves the objective of disturbance rejection and improves steady-state characteristics. The feedforward control is a trajectory-based controller and the feedback controller is a sliding mode controller with a PID sliding surface. The particle swarm optimization algorithm is used to tune the 6-dimensional vector of the tuning parameters with multi-objective performance criteria. Numerical investigations have been carried out to check the performance of the proposed system under varying conditions of viscosity, clearance gap, external load and the spindle speed. The comparison of our results with the published literature shows the effectiveness of the proposed system.

Keywords: multivariable optimization; tribo-mechatronics; hydrostatic bearing; active lubrication; sliding mode control; fluid film thickness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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