Article(id=1259474415461458596, tenantId=1146029695717560320, journalId=1259198796492718097, issueId=1259474414219964747, articleNumber=null, orderNo=null, doi=10.15951/j.tmgcxb.24060501, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1719417600000, receivedDateStr=2024-06-27, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1778211700549, onlineDateStr=2026-05-08, pubDate=null, pubDateStr=null, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1778211700549, onlineIssueDateStr=2026-05-08, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1778211700549, creator=13701087609, updateTime=1778211700549, updator=13701087609, issue=Issue{id=1259474414219964747, tenantId=1146029695717560320, journalId=1259198796492718097, year='2026', volume='59', issue='1', pageStart='1', pageEnd='128', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=1, specialIssue=null, createTime=1778211700252, creator=13701087609, updateTime=1778211964781, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1259475523919594262, tenantId=1146029695717560320, journalId=1259198796492718097, issueId=1259474414219964747, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1259475523919594263, tenantId=1146029695717560320, journalId=1259198796492718097, issueId=1259474414219964747, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=28, endPage=36, ext={EN=ArticleExt(id=1259474415801197223, articleId=1259474415461458596, tenantId=1146029695717560320, journalId=1259198796492718097, language=EN, title=Spectral analysis of crowd-structure coupling vibration during coupling vibration during bouncing activities, columnId=null, journalTitle=China Civil Engineering Journal, columnName=null, runingTitle=null, highlight=null, articleAbstract=A structure is treated as a multi-degree-of-freedom system, and each bouncing person on the structure is treated as an individual spring-mass-damper system. The influence coefficient and mode decomposition methods are used to derive the equation of motion for the coupled system in canonical coordinates. Furthermore, the frequency response function linking the state vector of coupled system with the crowd bouncing load time history is established by the state space method. The spectral analysis solution for the equation of motion of coupled system is derived by the stochastic vibration theory, and then it is used to calculate the auto-power spectrum and root mean square value of structural acceleration response. A comparison between theoretical predictions and field-measured responses of large-span floors demonstrates that the proposed spectral analysis model and the computational method are rational, and they can be applied to analyzing and caleulating structural responses during crowd bouncing activities., correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, authorCompany=null, fund=null, authors=null, authorsList=null), CN=ArticleExt(id=1259474415717311142, articleId=1259474415461458596, tenantId=1146029695717560320, journalId=1259198796492718097, language=CN, title=屈伸律动人群-结构耦合振动的谱分析模型, columnId=1259474415444701518, journalTitle=土木工程学报, columnName=结构工程, runingTitle=null, highlight=null, articleAbstract=将结构视为多自由度系统，结构上每个屈伸律动者视为单独的弹簧-质量-阻尼器系统，采用影响系数法和振型分解法推导正则坐标下的耦合系统运动方程。采用状态空间法建立耦合系统的状态向量和人群屈伸律动荷载时程之间的频响函数。基于随机振动理论推导耦合系统运动方程的谱分析解，用于计算结构加速度响应的自功率谱与均方根值。理论预测结果与大跨楼板的现场实测响应结果对比表明，所建议的谱分析模型和计算方法合理，可用于人群屈伸律动荷载作用下结构响应的分析与计算。, correspAuthors=段淑倩, authorNote=熊杰程(1991-),男,博士,副教授。主要从事人致振动方面的研究。E-mail: xiongjc2019@zzu.edu.cn。1 , 刘志豪1 , 段淑倩1 , authorsList=熊杰程, 刘志豪, 段淑倩)}, authors=[Author(id=1275230995053879741, tenantId=1146029695717560320, journalId=null, articleId=1259474415461458596, orderNo=null, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=null, email=null, emailSecond=null, emailThird=null, correspondingAuthor=null, authorType=null, ext={CN=AuthorExt(id=null, tenantId=null, journalId=1259198796492718097, articleId=1259474415461458596, authorId=1275230995053879741, language=CN, stringName=熊杰程, 刘志豪, 段淑倩, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=null, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null)}, companyList=null)], keywords=[Keyword(id=1259566345964892284, tenantId=1146029695717560320, journalId=1259198796492718097, articleId=1259474415461458596, language=CN, orderNo=1, keyword=人致振动), Keyword(id=1259566346552094852, tenantId=1146029695717560320, journalId=1259198796492718097, articleId=1259474415461458596, language=CN, orderNo=2, keyword=人群-结构相互作用), Keyword(id=1259566348556972173, tenantId=1146029695717560320, journalId=1259198796492718097, articleId=1259474415461458596, language=CN, orderNo=3, keyword=随机振动), Keyword(id=1259566348758298771, tenantId=1146029695717560320, journalId=1259198796492718097, articleId=1259474415461458596, language=CN, orderNo=4, keyword=屈伸律动荷载), Keyword(id=1259566349748154526, tenantId=1146029695717560320, journalId=1259198796492718097, articleId=1259474415461458596, language=EN, orderNo=1, keyword=human induced vibration), Keyword(id=1259566350108864680, tenantId=1146029695717560320, journalId=1259198796492718097, articleId=1259474415461458596, language=EN, orderNo=2, keyword=crowd-structure interaction), Keyword(id=1259566350561849519, tenantId=1146029695717560320, journalId=1259198796492718097, articleId=1259474415461458596, language=EN, orderNo=3, keyword=stochastic vibration), Keyword(id=1259566351077748917, tenantId=1146029695717560320, journalId=1259198796492718097, articleId=1259474415461458596, language=EN, orderNo=4, keyword=bouncing load)], refs=null, funds=null, companyList=null, figs=null, attaches=null, journal=Journal(id=1259198239191351309, delFlag=0, nameCn=土木工程学报, nameEn=China Civil Engineering Journal, nameHistory1=null, nameHistory2=null, issn=1000-131X, eissn=null, cn=11-2120/TU, coden=null, periodic=0, language=CN, oaType=null, ccby=null, superviseOffice=null, ownerOffice=null, pubOffice=null, editorOffice=null, officeType=null, aims=null, clcCode=null, officeProv=null, officeCity=null, officeAddr=null, officeZip=null, officeEmail=null, officePhone=null, editDirector=null, officeDirector=null, officeDirectorPhone=null, officeStaffNum=null, officeEmpNum=null, coverPicUrl=zqJd1DY17lPb6psFNANXBw==, journalPrice=null, startedYear=null, abbrevIsoEn=China Civil Engineering Journal, journalRemark=null, publicationField=null, createdTime=1778145854997, updatedTime=1778146820997, createdBy=18614031015, updatedBy=13701087609, firstLetterCn=C, firstLetterEn=C, subjectCode=Engineering, subjectName=null, subjectCodeEn=Engineering, subjectNameEn=null, picCn=zqJd1DY17lPb6psFNANXBw==, picEn=jSXc0Hu8yFdgq3cEbrcPbA==, jcr=null, cjcr=null, exts=[JournalExt(id=1259202291035455545, language=CN, name=土木工程学报, nameHistory1=null, nameHistory2=null, managedBy=, sponsoredBy=, publishedBy=, editorOffice=, officeProv=null, officeCity=null, officeAddr=, officeZip=, editDirector=, officeDirector=null, officePhone=null, coverPicUrl=null, journalRemark=, submitArticleUrl=null, websiteUrl=, createdTime=1778146821030, updatedTime=1778146821030, createdBy=13701087609, updatedBy=13701087609, submissionGuidelinesUrl=, submissionAuthorUrl=http://manu39.magtech.com.cn/Journalx_tumu/authorLogOn.action, submissionEditorUrl=http://manu39.magtech.com.cn/Journalx_tumu/editorLogOn.action, submissionReviewUrl=http://manu39.magtech.com.cn/Journalx_tumu/expertLogOn.action, submissionCeEditorUrl=, submissionAeEditorUrl=, option={"copyright":""}), JournalExt(id=1259202291169673274, language=EN, name=China Civil Engineering Journal, nameHistory1=null, nameHistory2=null, managedBy=, sponsoredBy=, publishedBy=, editorOffice=, officeProv=null, officeCity=null, officeAddr=, officeZip=, editDirector=, officeDirector=null, officePhone=null, coverPicUrl=null, journalRemark=, submitArticleUrl=null, websiteUrl=, createdTime=1778146821062, updatedTime=1778146821062, createdBy=13701087609, updatedBy=13701087609, submissionGuidelinesUrl=, submissionAuthorUrl=http://manu39.magtech.com.cn/Journalx_tumu/authorLogOn.action, submissionEditorUrl=http://manu39.magtech.com.cn/Journalx_tumu/editorLogOn.action, submissionReviewUrl=http://manu39.magtech.com.cn/Journalx_tumu/expertLogOn.action, submissionCeEditorUrl=, submissionAeEditorUrl=, option={"copyright":""})], databaseList=null, tenantJournalId=1259198796492718097, websiteList=[Website(id=1259211369325388415, webName=null, webTitle=null, webDomain=null, webCopyrigh=null, webIpcNo=null, seoTitle=null, seoKeywords=null, seoDescription=null, tenantJournalId=null, journalId=1259198796492718097, journalNameCn=null, journalNameEn=null, grayFlag=null, tenantId=1146029695717560320, platformId=null, journalGroupId=null, journalGroupNameCn=null, journalGroupNameEn=null, type=1, domain=https://castjournals.cast.org.cn/joweb/tmgcxb/CN, language=CN, createTime=1778148985463, createBy=18614031015, updateTime=1778149032366, updateBy=18614031015, name=土木工程学报-中文, tplId=1146099689490845704, title=土木工程学报, delFlag=0, indexPage=/home, props=[WebsiteProps(id=1259211772150539029, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369325388415, code=articleTextType, value=kx, createTime=1778149081504, updateTime=1778149081504, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211772121178898, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369325388415, code=banner, value=null, createTime=1778149081497, updateTime=1778149081497, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211772171510552, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369325388415, code=grayFlag, value=0, createTime=1778149081509, updateTime=1778149081509, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211772112790289, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369325388415, code=logo, value=https://castjournals.cast.org.cn/joweb/tmgcxb/CN/file/pic?fileId=qsQI9tm0hKbIZhflfE4OUw==, createTime=1778149081495, updateTime=1778149081495, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211772184093466, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369325388415, code=minRunFlag, value=0, createTime=1778149081512, updateTime=1778149081512, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211772142150420, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369325388415, code=picServerUrl, value=https://castjournals.cast.org.cn/joweb/tmgcxb/CN/file/pic, createTime=1778149081502, updateTime=1778149081502, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211772179899161, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369325388415, code=silenceFlag, value=0, createTime=1778149081511, updateTime=1778149081511, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211772129567507, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369325388415, code=staticResourcePath, value=https://castjournals.cast.org.cn/joweb/cast_kjdb_cn_619/, createTime=1778149081499, updateTime=1778149081499, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211772158927638, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369325388415, code=themeColor, value=null, createTime=1778149081506, updateTime=1778149081506, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211772167316247, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369325388415, code=themeStyle, value=null, createTime=1778149081508, updateTime=1778149081508, creator=18614031015, updator=18614031015)]), Website(id=1259211369581240963, webName=null, webTitle=null, webDomain=null, webCopyrigh=null, webIpcNo=null, seoTitle=null, seoKeywords=null, seoDescription=null, tenantJournalId=null, journalId=1259198796492718097, journalNameCn=null, journalNameEn=null, grayFlag=null, tenantId=1146029695717560320, platformId=null, journalGroupId=null, journalGroupNameCn=null, journalGroupNameEn=null, type=1, domain=https://castjournals.cast.org.cn/joweb/tmgcxb/EN, language=EN, createTime=1778148985524, createBy=18614031015, updateTime=1778149026947, updateBy=18614031015, name=土木工程学报-英文, tplId=1146101810881728533, title=China Civil Engineering Journal, delFlag=0, indexPage=/home, props=[WebsiteProps(id=1259211740236079867, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369581240963, code=articleTextType, value=kx, createTime=1778149073895, updateTime=1778149073895, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211740206719736, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369581240963, code=banner, value=null, createTime=1778149073888, updateTime=1778149073888, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211740278022910, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369581240963, code=grayFlag, value=0, createTime=1778149073905, updateTime=1778149073905, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211740198331127, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369581240963, code=logo, value=https://castjournals.cast.org.cn/joweb/tmgcxb/EN/file/pic?fileId=qsQI9tm0hKbIZhflfE4OUw==, createTime=1778149073886, updateTime=1778149073886, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211740294800128, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369581240963, code=minRunFlag, value=0, createTime=1778149073909, updateTime=1778149073909, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211740227691258, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369581240963, code=picServerUrl, value=https://castjournals.cast.org.cn/joweb/tmgcxb/EN/file/pic, createTime=1778149073893, updateTime=1778149073893, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211740286411519, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369581240963, code=silenceFlag, value=0, createTime=1778149073907, updateTime=1778149073907, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211740219302649, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369581240963, code=staticResourcePath, value=https://castjournals.cast.org.cn/joweb/cast_kjdb_en_623/, createTime=1778149073891, updateTime=1778149073891, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211740252857084, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369581240963, code=themeColor, value=null, createTime=1778149073899, updateTime=1778149073899, creator=18614031015, updator=18614031015), WebsiteProps(id=1259211740265439997, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1259211369581240963, code=themeStyle, value=null, createTime=1778149073902, updateTime=1778149073902, creator=18614031015, updator=18614031015)])], journalTitle=土木工程学报, weixinUrl=null, journalUrl=http://manu36.magtech.com.cn/Jwk_tmgcxb, iacademicId=null, status=1, seqNo=null, journalTitleEn=China Civil Engineering Journal, journalPhotoCn=zqJd1DY17lPb6psFNANXBw==, journalPhotoEn=jSXc0Hu8yFdgq3cEbrcPbA==, journalFirstLetter=C, journalRecommend=null, journalNew=null, journalCollection=null, jcrJf=null, cjcrJf=null, jcrJfStr=null, cjcrJfStr=null, submissionFirstDecision=null, sciSubjectClassification=null, casSubjectClassification=null, citeScore=null, totalCitationFrequency=null, icpCode=null, psCode=null, advertisingLicenseCode=null, copyrightInformation=null, country=null, option=, provinceCode=null, provinceName=null, collectFlag=false), detailUrlCn=https://castjournals.cast.org.cn/joweb/tmgcxb/CN/10.15951/j.tmgcxb.24060501, detailUrlEn=https://castjournals.cast.org.cn/joweb/tmgcxb/EN/10.15951/j.tmgcxb.24060501, pdfUrlCn=https://castjournals.cast.org.cn/joweb/tmgcxb/CN/PDF/10.15951/j.tmgcxb.24060501, pdfUrlEn=https://castjournals.cast.org.cn/joweb/tmgcxb/EN/PDF/10.15951/j.tmgcxb.24060501, aliStartDate=null, aliEndDate=null, collectionFlag=false, citedCount=null, citedUrl=null, reference=null)
土木工程学报
| 结构工程 2026, 59(1): 28-36
屈伸律动人群-结构耦合振动的谱分析模型
全屏
熊杰程, 刘志豪, 段淑倩
作者信息
Spectral analysis of crowd-structure coupling vibration during coupling vibration during bouncing activities
Affiliations
doi: 10.15951/j.tmgcxb.24060501
文章导航
将结构视为多自由度系统，结构上每个屈伸律动者视为单独的弹簧-质量-阻尼器系统，采用影响系数法和振型分解法推导正则坐标下的耦合系统运动方程。采用状态空间法建立耦合系统的状态向量和人群屈伸律动荷载时程之间的频响函数。基于随机振动理论推导耦合系统运动方程的谱分析解，用于计算结构加速度响应的自功率谱与均方根值。理论预测结果与大跨楼板的现场实测响应结果对比表明，所建议的谱分析模型和计算方法合理，可用于人群屈伸律动荷载作用下结构响应的分析与计算。
人致振动
/
人群-结构相互作用
/
随机振动
/
屈伸律动荷载
A structure is treated as a multi-degree-of-freedom system, and each bouncing person on the structure is treated as an individual spring-mass-damper system. The influence coefficient and mode decomposition methods are used to derive the equation of motion for the coupled system in canonical coordinates. Furthermore, the frequency response function linking the state vector of coupled system with the crowd bouncing load time history is established by the state space method. The spectral analysis solution for the equation of motion of coupled system is derived by the stochastic vibration theory, and then it is used to calculate the auto-power spectrum and root mean square value of structural acceleration response. A comparison between theoretical predictions and field-measured responses of large-span floors demonstrates that the proposed spectral analysis model and the computational method are rational, and they can be applied to analyzing and caleulating structural responses during crowd bouncing activities.
human induced vibration
/
crowd-structure interaction
/
stochastic vibration
/
bouncing load
熊杰程, 刘志豪, 段淑倩.
屈伸律动人群-结构耦合振动的谱分析模型.
土木工程学报,
2026
, 59
(1)
: 28
-36
.
DOI: 10.15951/j.tmgcxb.24060501
.
Spectral analysis of crowd-structure coupling vibration during coupling vibration during bouncing activities[J].
China Civil Engineering Journal ,
2026
, 59
(1)
: 28
-36
.
DOI: 10.15951/j.tmgcxb.24060501
2026年第59卷第1期
PDF下载
48
12
引用本文
BibTeX
文章信息
doi: 10.15951/j.tmgcxb.24060501
接收时间：2024-06-27
首发时间：2026-05-08
https://castjournals.cast.org.cn/joweb/tmgcxb/CN/10.15951/j.tmgcxb.24060501
引用本文
BibTeX
2种不同金属材料的力学参数
科 属数 种数 占总种数比例 属 种数 占总种数比例 鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78 小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39 多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39 红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87 小菇属 Mycena 11 5.26 光柄菇属 Pluteus 5 2.39 红菇属 Russula 17 8.13 栓菌属 Trametes 5 2.39
关闭全屏
BibTeX
EndNote
RefWorks
TxT
PDF下载
全屏
48
12
关闭全屏
北京市海淀区学院南路86号
010-62199257
qkjq@cast.org.cn
