Hydrostatic bearings play an indispensable role in high precision machines and equipment such as precision machine tools, measuring instruments, optical equipment, and large-scale scientific facilities, owing to their high precision potential, high stiffness, high damping, low friction, and high loading capacity. However, the error motion of hydrostatic bearings as defined indicates the deviation of their actual motion trajectory or altitude from their ideal state, which is a key factor limiting their performance and the ultimate accuracy of the precision machines and equipment they support. This paper provides a systematic and comprehensive review and the insights on the research and development progress of hydrostatic bearing error motions in the contexts of past, present and the future. Firstly, it elaborates in details on the definition, classification, and standardized characterization and evaluation metrics of hydrostatic bearing error motions. Secondly, it provides an in-depth analysis of the main generation mechanisms of the error motions. Building upon this, it further reviews and categorizes the modeling and analysis methods for the error motions, and systematically formulates and summarizes their suppression and control strategies. Finally, it discusses the existing scientific and technological challenges, and highlights the future research trends and directions. This review aims to provide researchers and engineering practitioners with a comprehensive overview of the current research status, key enabling technologies, and future trends in hydrostatic bearing error motions. It is also intended to promote further improvements in the motion accuracy of hydrostatic bearings and thus enhance their further development in precision engineering applications with higher precision and accuracy requirements particularly in an industrial scale.
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