线转复合运动下滚珠丝杠表面对流换热系数的数值拟合

IF 6.4 2区工程技术 Q1 MECHANICS

International Communications in Heat and Mass Transfer Pub Date : 2025-05-05 DOI:10.1016/j.icheatmasstransfer.2025.108977

Xin Sheng , Chen Gao , Lvzhou Li , Xi Lu , Jianrun Zhang , Yadong Xu , Jianning Ding

{"title":"线转复合运动下滚珠丝杠表面对流换热系数的数值拟合","authors":"Xin Sheng , Chen Gao , Lvzhou Li , Xi Lu , Jianrun Zhang , Yadong Xu , Jianning Ding","doi":"10.1016/j.icheatmasstransfer.2025.108977","DOIUrl":null,"url":null,"abstract":"<div><div>For a specific component or system of machine tools, the acknowledgement of temperature rise characteristics is the foundation for subsequent thermal error compensations. However, the exact calculation of boundary conditions is always a problem to be solved for thermal analysis. The rotary-linear composite motion of the ball screw in a <em>Z</em>-direction feed system decides its special convective heat transfer coefficient (CHTC) without referred calculation principles. In this study, analytical solutions to surplus temperature of the ball screw subjected to a reciprocating motion nut heat source are worked out, which leads to a several hundredfold increase in computing efficiency compared with traditional finite element method. Based on influence rules revealed by the nondimensionalized analysis, the numerical fitting result of comprehensive CHTC helps determine the proportionality coefficient valued 5 of natural CHTC and respective weight of each part. When verifying the reliability of revised comprehensive CHTC in designed experiment, the calculation temperature rise curve appears a great consistency with the test values after 2500 s due to the stable tendency of moving nut heat source. The findings could improve the accuracy and efficiency of CHTC calculation and thermal analysis, which exhibits a great potential in the further real-time thermal error compensation process.</div></div>","PeriodicalId":332,"journal":{"name":"International Communications in Heat and Mass Transfer","volume":"165 ","pages":"Article 108977"},"PeriodicalIF":6.4000,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical fitting of convective heat transfer coefficient on ball screw surface with linear -rotary composite motion\",\"authors\":\"Xin Sheng , Chen Gao , Lvzhou Li , Xi Lu , Jianrun Zhang , Yadong Xu , Jianning Ding\",\"doi\":\"10.1016/j.icheatmasstransfer.2025.108977\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>For a specific component or system of machine tools, the acknowledgement of temperature rise characteristics is the foundation for subsequent thermal error compensations. However, the exact calculation of boundary conditions is always a problem to be solved for thermal analysis. The rotary-linear composite motion of the ball screw in a <em>Z</em>-direction feed system decides its special convective heat transfer coefficient (CHTC) without referred calculation principles. In this study, analytical solutions to surplus temperature of the ball screw subjected to a reciprocating motion nut heat source are worked out, which leads to a several hundredfold increase in computing efficiency compared with traditional finite element method. Based on influence rules revealed by the nondimensionalized analysis, the numerical fitting result of comprehensive CHTC helps determine the proportionality coefficient valued 5 of natural CHTC and respective weight of each part. When verifying the reliability of revised comprehensive CHTC in designed experiment, the calculation temperature rise curve appears a great consistency with the test values after 2500 s due to the stable tendency of moving nut heat source. The findings could improve the accuracy and efficiency of CHTC calculation and thermal analysis, which exhibits a great potential in the further real-time thermal error compensation process.</div></div>\",\"PeriodicalId\":332,\"journal\":{\"name\":\"International Communications in Heat and Mass Transfer\",\"volume\":\"165 \",\"pages\":\"Article 108977\"},\"PeriodicalIF\":6.4000,\"publicationDate\":\"2025-05-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Communications in Heat and Mass Transfer\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0735193325004038\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Communications in Heat and Mass Transfer","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0735193325004038","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MECHANICS","Score":null,"Total":0}

引用次数: 0

摘要

对于机床的特定部件或系统，温升特性的识别是后续热误差补偿的基础。然而，边界条件的精确计算一直是热分析中需要解决的问题。z向进给系统中滚珠丝杠的旋转-直线复合运动决定了其特有的对流换热系数（CHTC），没有参考计算原理。本文给出了滚珠丝杠在往复运动螺母热源作用下的剩余温度的解析解，与传统有限元法相比，计算效率提高了几百倍。根据非量纲化分析揭示的影响规律，对综合CHTC进行数值拟合，确定自然CHTC的比例系数5和各部分的权重。在设计试验中验证修正后的综合CHTC的可靠性时，由于动螺母热源趋于稳定，2500 s后的计算温升曲线与试验值有很大的一致性。研究结果可提高CHTC计算和热分析的精度和效率，在进一步的实时热误差补偿过程中具有很大的潜力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Numerical fitting of convective heat transfer coefficient on ball screw surface with linear -rotary composite motion

For a specific component or system of machine tools, the acknowledgement of temperature rise characteristics is the foundation for subsequent thermal error compensations. However, the exact calculation of boundary conditions is always a problem to be solved for thermal analysis. The rotary-linear composite motion of the ball screw in a Z-direction feed system decides its special convective heat transfer coefficient (CHTC) without referred calculation principles. In this study, analytical solutions to surplus temperature of the ball screw subjected to a reciprocating motion nut heat source are worked out, which leads to a several hundredfold increase in computing efficiency compared with traditional finite element method. Based on influence rules revealed by the nondimensionalized analysis, the numerical fitting result of comprehensive CHTC helps determine the proportionality coefficient valued 5 of natural CHTC and respective weight of each part. When verifying the reliability of revised comprehensive CHTC in designed experiment, the calculation temperature rise curve appears a great consistency with the test values after 2500 s due to the stable tendency of moving nut heat source. The findings could improve the accuracy and efficiency of CHTC calculation and thermal analysis, which exhibits a great potential in the further real-time thermal error compensation process.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

International Communications in Heat and Mass Transfer 工程技术-力学

CiteScore

11.00

自引率

10.00%

发文量

648

审稿时长

32 days

期刊介绍： International Communications in Heat and Mass Transfer serves as a world forum for the rapid dissemination of new ideas, new measurement techniques, preliminary findings of ongoing investigations, discussions, and criticisms in the field of heat and mass transfer. Two types of manuscript will be considered for publication: communications (short reports of new work or discussions of work which has already been published) and summaries (abstracts of reports, theses or manuscripts which are too long for publication in full). Together with its companion publication, International Journal of Heat and Mass Transfer, with which it shares the same Board of Editors, this journal is read by research workers and engineers throughout the world.