Article(id=1261267655189738090, tenantId=1146029695717560320, journalId=1146123166801305609, issueId=1261262687258985194, articleNumber=null, orderNo=null, doi=10.12404/j.issn.1671-1815.2406945, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=research-article, receivedDate=1726416000000, receivedDateStr=2024-09-16, revisedDate=1745510400000, revisedDateStr=2025-04-25, acceptedDate=null, acceptedDateStr=null, onlineDate=1778639242216, onlineDateStr=2026-05-13, pubDate=1752768000000, pubDateStr=2025-07-18, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1778639242216, onlineIssueDateStr=2026-05-13, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1778639242216, creator=13701087609, updateTime=1778639242216, updator=13701087609, issue=Issue{id=1261262687258985194, tenantId=1146029695717560320, journalId=1146123166801305609, year='2025', volume='25', issue='20', pageStart='8317', pageEnd='8759', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1778638057769, creator=13701087609, updateTime=1778753106634, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1261745237240722095, tenantId=1146029695717560320, journalId=1146123166801305609, issueId=1261262687258985194, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1261745237240722096, tenantId=1146029695717560320, journalId=1146123166801305609, issueId=1261262687258985194, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=8571, endPage=8582, ext={EN=ArticleExt(id=1261267656481583737, articleId=1261267655189738090, tenantId=1146029695717560320, journalId=1146123166801305609, language=EN, title=Development and Application of Ice Force Sensors for Marine Structures Based on Fiber Optic Sensing Technology, columnId=1156262729162810294, journalTitle=Science Technology and Engineering, columnName=Papers·Automation and Computational Technology, runingTitle=null, highlight=null, articleAbstract=
Due to the limitations of traditional ice force measurement methods in terms of stability and reliability, and the high sensitivity and anti-interference capabilities of fiber optic sensing technology was given, a fiber optic ice force sensor was developed. The effectiveness of this sensor was evaluated in the context of its application in marine structures. Based on the fundamental principles of fiber optic sensing technology and the design requirements of the ice force sensor, the research, design, and installation processes of the sensor were described in detail, including the design calculations of the elastic element, the selection and arrangement of the fiber optic sensors, and the construction of the data acquisition system to ensure that the precision requirements for ice force measurement were met. A winter field measurement of ice force was conducted at an observation station in the northern Bohai Sea. Field ice force data were successfully collected and analyzed, and the actual monitoring performance of the sensor was evaluated. The experimental results indicate that the system exhibits good stability and reliability in practical applications. The developed fiber optic ice force sensor provides a new reliable technical means for ice force measurement in marine engineering and lays a foundation for further research in structural health monitoring.
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因传统的冰力测量方法存在稳定性和可靠性的局限,而光纤传感技术具有高灵敏度和抗干扰能力,研发了一种基于光纤传感技术的冰力传感器,并评估其在海洋结构现场应用中的有效性。基于光纤传感技术的基本原理和冰力传感器的设计要求,详细描述了传感器的研究、设计与安装过程,包括弹性元件的设计计算、光纤传感器的选择与布置、以及数据采集系统的构建,以确保满足冰力测量的精度要求,并在渤海北部海域的观测站进行一个冬季现场冰力测量。成功收集并分析现场冰力数据,评估了传感器的实际监测效果。实验结果表明:该系统在实际应用中表现出良好的稳定性和可靠性,所研发的光纤冰力传感器为海洋工程现场的冰力测量提供了新的可靠技术手段,为进一步的结构健康监测研究奠定了基础。
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1 中海油研究总院有限责任公司工程研究设计院, 北京 100010, bio={"content":"
李伟(1988—),男,汉族,河北张家口人,博士,高级工程师。研究方向:海上油气平台及新能源结构设计。E-mail:liwei172@cnooc.com.cn。
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李伟(1988—),男,汉族,河北张家口人,博士,高级工程师。研究方向:海上油气平台及新能源结构设计。E-mail:liwei172@cnooc.com.cn。
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49(12): 12-17., articleTitle=Design of an improved fiber optic pressure sensor, refAbstract=null)], funds=[Fund(id=1261377089077371414, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, awardId=52071055, language=CN, fundingSource=国家自然科学基金(52071055), fundOrder=null, country=null), Fund(id=1261377089287086617, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, awardId=KJZH-2023-2402, language=CN, fundingSource=中国海洋石油有限公司科技项目(KJZH-2023-2402), fundOrder=null, country=null)], companyList=[AuthorCompany(id=1261377036006842447, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, xref=1, ext=[AuthorCompanyExt(id=1261377036023619665, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, companyId=1261377036006842447, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=
1 Engineering Research and Design Institute, Research Institute of China National Offshore Oil Corporation, Beijing 100010, China), AuthorCompanyExt(id=1261377036073951315, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, companyId=1261377036006842447, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=
1 中海油研究总院有限责任公司工程研究设计院, 北京 100010)]), AuthorCompany(id=1261377037260939357, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, xref=2, ext=[AuthorCompanyExt(id=1261377037269327966, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, companyId=1261377037260939357, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=
2 School of Chemical Engineering, Ocean and Life Sciences, Dalian University of Technology, Panjin 124000, China), AuthorCompanyExt(id=1261377037298688095, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, companyId=1261377037260939357, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=
2 大连理工大学化工海洋与生命学院, 盘锦 124000)])], figs=[ArticleFig(id=1261377071343853867, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Fig.1, caption=
Forms of interaction between ice and vertical structures[10], figureFileSmall=bozbPNM0il7IkcpgHBMQhw==, figureFileBig=zMMmjEghGTy2ERFJ9ojFgQ==, tableContent=null), ArticleFig(id=1261377071801033007, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=CN, label=图1, caption=
冰与直立结构作用形式[10], figureFileSmall=bozbPNM0il7IkcpgHBMQhw==, figureFileBig=zMMmjEghGTy2ERFJ9ojFgQ==, tableContent=null), ArticleFig(id=1261377072073662774, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Fig.2, caption=
Physical model of ice force sensor, figureFileSmall=yaome48i7cEwISJFpisnKA==, figureFileBig=68mLD+XhASiC86C9jw4VmA==, tableContent=null), ArticleFig(id=1261377072325321022, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=CN, label=图2, caption=
冰力传感器的物理模型 F为冰力,即海冰作用于传感器的力;K为弹性元件的刚度;C为弹性元件的阻尼系数
, figureFileSmall=yaome48i7cEwISJFpisnKA==, figureFileBig=68mLD+XhASiC86C9jw4VmA==, tableContent=null), ArticleFig(id=1261377074107900229, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Fig.3, caption=
Simply supported beam with force diagram, figureFileSmall=uyqZ2Bst67T+C20e+bTh7w==, figureFileBig=I85s6XdzyMpa0b8ptRf1mQ==, tableContent=null), ArticleFig(id=1261377074426667335, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=CN, label=图3, caption=
两端固支梁及受力图, figureFileSmall=uyqZ2Bst67T+C20e+bTh7w==, figureFileBig=I85s6XdzyMpa0b8ptRf1mQ==, tableContent=null), ArticleFig(id=1261377074728657230, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Fig.4, caption=
Elastic element design schematic, figureFileSmall=EWsjFfe1QegkK05XqH/TWA==, figureFileBig=KzhVb/FkRAf6Pnn4KLnu0g==, tableContent=null), ArticleFig(id=1261377074967732563, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=CN, label=图4, caption=
弹性元件设计示意图 R为圆孔半径;M6表示公称直径为6 mm的普通螺纹;threaded hole为螺纹孔
, figureFileSmall=EWsjFfe1QegkK05XqH/TWA==, figureFileBig=KzhVb/FkRAf6Pnn4KLnu0g==, tableContent=null), ArticleFig(id=1261377075135504727, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Fig.5, caption=
Overall structure diagram of ice force sensor, figureFileSmall=mvP39Md8sZjMx0yxF6hzQA==, figureFileBig=c4V6NVrz/isY6/sJ/JXtEg==, tableContent=null), ArticleFig(id=1261377075349414233, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=CN, label=图5, caption=
冰力传感器整体结构图, figureFileSmall=mvP39Md8sZjMx0yxF6hzQA==, figureFileBig=c4V6NVrz/isY6/sJ/JXtEg==, tableContent=null), ArticleFig(id=1261377075483631968, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Fig.6, caption=
Finite element model x-direction displacement cloud diagram, figureFileSmall=qtVXLFy62rMBDi9KAU0E1Q==, figureFileBig=TSLtqUe9ayT3d2aBU5VxIA==, tableContent=null), ArticleFig(id=1261377075835953507, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=CN, label=图6, caption=
有限元模型x方向位移云图, figureFileSmall=qtVXLFy62rMBDi9KAU0E1Q==, figureFileBig=TSLtqUe9ayT3d2aBU5VxIA==, tableContent=null), ArticleFig(id=1261377076242801001, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Fig.7, caption=
Variation of non-uniform load under different conditions, figureFileSmall=xdFAzOGBBafrmERKRt1Usg==, figureFileBig=P9UusSDdWJVdmEQUmjJlNw==, tableContent=null), ArticleFig(id=1261377076624482671, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=CN, label=图7, caption=
不同条件下非均匀载荷变化 图7(a)1~5表示将受力面沿x方向等分为5个区域,x正方向依次标记为1、2、3、4、5;图7(b)1~5表示将受力面沿y方向等分为5个区域,y正方向依次标记为1、2、3、4、5
, figureFileSmall=xdFAzOGBBafrmERKRt1Usg==, figureFileBig=P9UusSDdWJVdmEQUmjJlNw==, tableContent=null), ArticleFig(id=1261377077052301688, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Fig.8, caption=
Structure diagram after installation completion, figureFileSmall=qBxXGKGQq2rNMkYxWlFGxQ==, figureFileBig=o7AwHXdoa44GD2NsFY1DoA==, tableContent=null), ArticleFig(id=1261377078662914428, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=CN, label=图8, caption=
安装完成后的结构图, figureFileSmall=qBxXGKGQq2rNMkYxWlFGxQ==, figureFileBig=o7AwHXdoa44GD2NsFY1DoA==, tableContent=null), ArticleFig(id=1261377078952321409, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Fig.9, caption=
Calibration results of the ice force sensor, figureFileSmall=jw8PLqzX8+apqDtexG9N7A==, figureFileBig=EfOMywHrW+navJGF7v6vuw==, tableContent=null), ArticleFig(id=1261377079183008138, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=CN, label=图9, caption=
冰力传感器标定结果, figureFileSmall=jw8PLqzX8+apqDtexG9N7A==, figureFileBig=EfOMywHrW+navJGF7v6vuw==, tableContent=null), ArticleFig(id=1261377079464026513, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Fig.10, caption=
Overall assembly method of the ice force sensor, figureFileSmall=wfgpuC2AJ3CBKetwLVdBxQ==, figureFileBig=msPLZMWRtmp225ptdess9A==, tableContent=null), ArticleFig(id=1261377079648575893, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=CN, label=图10, caption=
冰力传感器的整体组装方式, figureFileSmall=wfgpuC2AJ3CBKetwLVdBxQ==, figureFileBig=msPLZMWRtmp225ptdess9A==, tableContent=null), ArticleFig(id=1261377079845708186, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Fig.11, caption=
Indoor test device, figureFileSmall=WZoJnfc0ngxEbrgYlOCkOQ==, figureFileBig=cwIJmg86/jpUhXbXHtYwAA==, tableContent=null), ArticleFig(id=1261377080122532256, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=CN, label=图11, caption=
室内试验装置, figureFileSmall=WZoJnfc0ngxEbrgYlOCkOQ==, figureFileBig=cwIJmg86/jpUhXbXHtYwAA==, tableContent=null), ArticleFig(id=1261377080328053160, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Fig.12, caption=
Sensor-recorded ice force time history curve, figureFileSmall=NEaLf3XcQ8CoHMAHWjmusg==, figureFileBig=kYK/2DMNk5Dtd6RwtitnLQ==, tableContent=null), ArticleFig(id=1261377080541962671, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=CN, label=图12, caption=
传感器记录冰力时程曲线, figureFileSmall=NEaLf3XcQ8CoHMAHWjmusg==, figureFileBig=kYK/2DMNk5Dtd6RwtitnLQ==, tableContent=null), ArticleFig(id=1261377080839758263, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Fig.13, caption=
Statistics of ice force amplitudes under different ice velocities, figureFileSmall=i31aROlphaYG4qE3w3nOLQ==, figureFileBig=ZWq5T/KoTkrZNGWoAduPPw==, tableContent=null), ArticleFig(id=1261377081112388034, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=CN, label=图13, caption=
不同冰速下冰力幅值统计, figureFileSmall=i31aROlphaYG4qE3w3nOLQ==, figureFileBig=ZWq5T/KoTkrZNGWoAduPPw==, tableContent=null), ArticleFig(id=1261377082899161544, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Fig.14, caption=
On-site layout of the monitoring station, figureFileSmall=yTK9v7fzDV4MfEqen9Sqag==, figureFileBig=72ArMbdoaGtq/oh/TaFxTw==, tableContent=null), ArticleFig(id=1261377083217928651, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=CN, label=图14, caption=
监测站现场布置, figureFileSmall=yTK9v7fzDV4MfEqen9Sqag==, figureFileBig=72ArMbdoaGtq/oh/TaFxTw==, tableContent=null), ArticleFig(id=1261377083415060944, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Fig.15, caption=
Sensor tapping test, figureFileSmall=wV5Uk2fd3ZRojp2HEsQYew==, figureFileBig=cD7wTucL/XPwRZ7Ahy4dhw==, tableContent=null), ArticleFig(id=1261377083566055893, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=CN, label=图15, caption=
传感器敲击测试, figureFileSmall=wV5Uk2fd3ZRojp2HEsQYew==, figureFileBig=cD7wTucL/XPwRZ7Ahy4dhw==, tableContent=null), ArticleFig(id=1261377083901600220, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Fig.16, caption=
Large ice accumulation and ice force time history, figureFileSmall=yiPMS0qDykNNDEvQeqggkQ==, figureFileBig=E7ePtu9vdaoVVibGrXOAig==, tableContent=null), ArticleFig(id=1261377084253921763, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=CN, label=图16, caption=
大块冰堆积及冰力时程, figureFileSmall=yiPMS0qDykNNDEvQeqggkQ==, figureFileBig=E7ePtu9vdaoVVibGrXOAig==, tableContent=null), ArticleFig(id=1261377084585271783, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Fig.17, caption=
Broken ice accumulation and ice force time history, figureFileSmall=uAC1NedwjFFGKwor77Q55w==, figureFileBig=+MYsssLab6RDmHNJWo31LQ==, tableContent=null), ArticleFig(id=1261377084740461038, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=CN, label=图17, caption=
碎冰堆积及冰力时程, figureFileSmall=uAC1NedwjFFGKwor77Q55w==, figureFileBig=+MYsssLab6RDmHNJWo31LQ==, tableContent=null), ArticleFig(id=1261377085193445878, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1261267655189738090, language=EN, label=Table 1, caption=
Relative displacement variation under different conditions
, figureFileSmall=null, figureFileBig=null, tableContent=
| 方向 | 位移相对变化量/mm |
| 组1 | 组2 | 组3 | 组4 |
| x | 2.22×10-8 | 2.24×10-8 | 2.30×10-8 | 2.35×10-8 |
| y | 2.42×10-8 | 2.41×10-8 | 2.39×10-8 | 2.38×10-8 |
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不同条件下位移相对变化量
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| 方向 | 位移相对变化量/mm |
| 组1 | 组2 | 组3 | 组4 |
| x | 2.22×10-8 | 2.24×10-8 | 2.30×10-8 | 2.35×10-8 |
| y | 2.42×10-8 | 2.41×10-8 | 2.39×10-8 | 2.38×10-8 |
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Sensor performance parameters
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单个单元 量程范围/ kN | 整体装置 量程范围/ kN | 分辨 率/N | 波长范 围/nm | 精度 (F.S.)/% | 安装方式 |
| 50 | 200 | 50 | 1 510~1 590 | 0.2 | 螺栓固定 或焊接 |
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传感器性能参数
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单个单元 量程范围/ kN | 整体装置 量程范围/ kN | 分辨 率/N | 波长范 围/nm | 精度 (F.S.)/% | 安装方式 |
| 50 | 200 | 50 | 1 510~1 590 | 0.2 | 螺栓固定 或焊接 |
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Ice force amplitude statistics under different ice velocities
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| 幅值点 | 1 mm/s冰速 | 5 mm/s冰速 | 10 mm/s冰速 | 15 mm/s冰速 |
| 冰力幅值/kN | 误差/% | 冰力幅值/kN | 误差/% | 冰力幅值/kN | 误差/% | 冰力幅值/kN | 误差/% |
| 传感器 | 作动器 | 传感器 | 作动器 | 传感器 | 作动器 | 传感器 | 作动器 |
| 1 | 2.247 | 2.525 | 11.03 | 2.497 | 2.771 | 9.89 | 1.320 | 1.255 | 5.18 | 2.577 | 2.907 | 11.36 |
| 2 | 2.304 | 2.605 | 11.56 | 2.534 | 2.637 | 3.91 | 1.507 | 1.649 | 8.61 | 2.068 | 2.118 | 2.36 |
| 3 | 2.427 | 2.658 | 8.70 | 2.863 | 3.102 | 7.70 | 1.879 | 2.032 | 7.53 | 2.257 | 2.573 | 12.28 |
| 4 | 2.454 | 2.686 | 8.64 | 2.604 | 2.817 | 7.56 | 2.243 | 2.098 | 6.91 | 2.027 | 1.934 | 4.81 |
| 5 | 3.795 | 3.822 | 0.71 | 3.940 | 3.914 | 0.66 | 0.972 | 1.152 | 15.63 | 2.168 | 2.101 | 3.24 |
| 6 | 2.384 | 2.688 | 11.31 | 4.656 | 4.484 | 3.84 | 1.379 | 1.504 | 8.31 | 1.481 | 1.464 | 1.16 |
| 7 | 2.681 | 3.071 | 12.73 | 2.575 | 2.683 | 3.65 | 1.543 | 1.693 | 8.86 | 1.697 | 1.823 | 6.86 |
| 8 | 2.259 | 2.562 | 11.83 | 4.156 | 4.185 | 0.69 | 1.879 | 2.032 | 7.53 | 2.283 | 2.515 | 9.22 |
| 9 | 2.384 | 2.695 | 11.54 | 3.352 | 3.233 | 3.68 | 1.729 | 2.041 | 15.29 | 2.296 | 2.347 | 2.17 |
| 10 | 4.271 | 4.471 | 4.47 | 2.820 | 2.975 | 5.21 | 1.450 | 1.488 | 2.55 | 1.600 | 1.677 | 4.59 |
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不同冰速下冰力幅值统计
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| 幅值点 | 1 mm/s冰速 | 5 mm/s冰速 | 10 mm/s冰速 | 15 mm/s冰速 |
| 冰力幅值/kN | 误差/% | 冰力幅值/kN | 误差/% | 冰力幅值/kN | 误差/% | 冰力幅值/kN | 误差/% |
| 传感器 | 作动器 | 传感器 | 作动器 | 传感器 | 作动器 | 传感器 | 作动器 |
| 1 | 2.247 | 2.525 | 11.03 | 2.497 | 2.771 | 9.89 | 1.320 | 1.255 | 5.18 | 2.577 | 2.907 | 11.36 |
| 2 | 2.304 | 2.605 | 11.56 | 2.534 | 2.637 | 3.91 | 1.507 | 1.649 | 8.61 | 2.068 | 2.118 | 2.36 |
| 3 | 2.427 | 2.658 | 8.70 | 2.863 | 3.102 | 7.70 | 1.879 | 2.032 | 7.53 | 2.257 | 2.573 | 12.28 |
| 4 | 2.454 | 2.686 | 8.64 | 2.604 | 2.817 | 7.56 | 2.243 | 2.098 | 6.91 | 2.027 | 1.934 | 4.81 |
| 5 | 3.795 | 3.822 | 0.71 | 3.940 | 3.914 | 0.66 | 0.972 | 1.152 | 15.63 | 2.168 | 2.101 | 3.24 |
| 6 | 2.384 | 2.688 | 11.31 | 4.656 | 4.484 | 3.84 | 1.379 | 1.504 | 8.31 | 1.481 | 1.464 | 1.16 |
| 7 | 2.681 | 3.071 | 12.73 | 2.575 | 2.683 | 3.65 | 1.543 | 1.693 | 8.86 | 1.697 | 1.823 | 6.86 |
| 8 | 2.259 | 2.562 | 11.83 | 4.156 | 4.185 | 0.69 | 1.879 | 2.032 | 7.53 | 2.283 | 2.515 | 9.22 |
| 9 | 2.384 | 2.695 | 11.54 | 3.352 | 3.233 | 3.68 | 1.729 | 2.041 | 15.29 | 2.296 | 2.347 | 2.17 |
| 10 | 4.271 | 4.471 | 4.47 | 2.820 | 2.975 | 5.21 | 1.450 | 1.488 | 2.55 | 1.600 | 1.677 | 4.59 |
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