{"title":"Dynamic analysis of the machine tools load-bearing system considering the ball arrangement and carriage flexibility","authors":"","doi":"10.1016/j.triboint.2024.110127","DOIUrl":null,"url":null,"abstract":"<div><p>The balls in the machine tool load-bearing system inevitably alternate with the movement of the worktable, resulting in the worktable’s posture to change periodically during the ball circulation process. In the past, the dynamic behaviors of the machine tool load-bearing system have been analyzed by assuming that the worktable is in a specific position, and few models consider the effects of the ball circulation motion. To address this problem, this paper presents a five degree-of-freedom (DOF) nonlinear dynamic model for the machine tool load-bearing system, taking into account the ball arrangement and carriage flexibility, which is used to predict the dynamic behaviors under both constant and excitation loads. Firstly, the relation between the contact load and the carriage flexibility is determined, and the contact load in the working phase is derived by homogeneous coordinate transformation. Secondly, the elastic release is discussed for different cases and the contact load in the transition phase is derived. Then, a nonlinear dynamic model for the machine tool load-bearing system is established by deriving the restoring loads and moments, and the validity of the proposed model is verified experimentally. Finally, the variation law of the nonlinear dynamic response for the machine tool load-bearing system is discussed.</p></div>","PeriodicalId":23238,"journal":{"name":"Tribology International","volume":null,"pages":null},"PeriodicalIF":6.1000,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tribology International","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0301679X2400879X","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
Abstract
The balls in the machine tool load-bearing system inevitably alternate with the movement of the worktable, resulting in the worktable’s posture to change periodically during the ball circulation process. In the past, the dynamic behaviors of the machine tool load-bearing system have been analyzed by assuming that the worktable is in a specific position, and few models consider the effects of the ball circulation motion. To address this problem, this paper presents a five degree-of-freedom (DOF) nonlinear dynamic model for the machine tool load-bearing system, taking into account the ball arrangement and carriage flexibility, which is used to predict the dynamic behaviors under both constant and excitation loads. Firstly, the relation between the contact load and the carriage flexibility is determined, and the contact load in the working phase is derived by homogeneous coordinate transformation. Secondly, the elastic release is discussed for different cases and the contact load in the transition phase is derived. Then, a nonlinear dynamic model for the machine tool load-bearing system is established by deriving the restoring loads and moments, and the validity of the proposed model is verified experimentally. Finally, the variation law of the nonlinear dynamic response for the machine tool load-bearing system is discussed.
期刊介绍:
Tribology is the science of rubbing surfaces and contributes to every facet of our everyday life, from live cell friction to engine lubrication and seismology. As such tribology is truly multidisciplinary and this extraordinary breadth of scientific interest is reflected in the scope of Tribology International.
Tribology International seeks to publish original research papers of the highest scientific quality to provide an archival resource for scientists from all backgrounds. Written contributions are invited reporting experimental and modelling studies both in established areas of tribology and emerging fields. Scientific topics include the physics or chemistry of tribo-surfaces, bio-tribology, surface engineering and materials, contact mechanics, nano-tribology, lubricants and hydrodynamic lubrication.