具有有限强度的砌体拱和穹顶的极限分析:漏斗分析法与稳定面积法的比较

IF 1.9 3区 工程技术 Q3 MECHANICS Meccanica Pub Date : 2024-04-07 DOI:10.1007/s11012-024-01781-7
Danila Aita, Matteo Bruggi, Alberto Taliercio
{"title":"具有有限强度的砌体拱和穹顶的极限分析:漏斗分析法与稳定面积法的比较","authors":"Danila Aita, Matteo Bruggi, Alberto Taliercio","doi":"10.1007/s11012-024-01781-7","DOIUrl":null,"url":null,"abstract":"<p>This study, framed within the context of the lower bound theorem of limit analysis, aims to assess the anti-funicular equilibrium of masonry arches and domes using a computational approach based on the constrained force density method. In contrast to the commonly adopted classical Heyman’s assumptions, the approach proposed here considers the effects of finite compressive strength in the material. Assuming a fixed plan projection for a network with independent sets of branches, a suitable set of local constraints is enforced at each joint to account for the limit bending moment resulting from the material’s assumptions, including limited compressive strength and zero tensile strength. Additionally, the stereotomy of the voussoirs is considered by assigning a geometric law to the joint inclination. The collapse load is determined by formulating a multi-constrained maximization problem. The method is validated using a modern version of the semi-analytical Durand-Claye’s method. For benchmark case studies, such as symmetric masonry arches and domes with specific stereotomies subjected to axi-symmetrical load conditions, the set of statically admissible solutions compatible with equilibrium and strength requirements is graphically determined in terms of the horizontal thrust and its eccentricity at the crown, examining the shape of the stability area. Assuming an infinite value for the friction coefficient, the collapse condition is reached when the stability area shrinks to a single point. The results obtained from both of these methods are in excellent agreement. The influence of compressive strength on the bearing capacity of the structures is also discussed.</p>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"97 1","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2024-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Limit analysis of masonry arches and domes with finite strength: funicular analysis versus stability area method\",\"authors\":\"Danila Aita, Matteo Bruggi, Alberto Taliercio\",\"doi\":\"10.1007/s11012-024-01781-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This study, framed within the context of the lower bound theorem of limit analysis, aims to assess the anti-funicular equilibrium of masonry arches and domes using a computational approach based on the constrained force density method. In contrast to the commonly adopted classical Heyman’s assumptions, the approach proposed here considers the effects of finite compressive strength in the material. Assuming a fixed plan projection for a network with independent sets of branches, a suitable set of local constraints is enforced at each joint to account for the limit bending moment resulting from the material’s assumptions, including limited compressive strength and zero tensile strength. Additionally, the stereotomy of the voussoirs is considered by assigning a geometric law to the joint inclination. The collapse load is determined by formulating a multi-constrained maximization problem. The method is validated using a modern version of the semi-analytical Durand-Claye’s method. For benchmark case studies, such as symmetric masonry arches and domes with specific stereotomies subjected to axi-symmetrical load conditions, the set of statically admissible solutions compatible with equilibrium and strength requirements is graphically determined in terms of the horizontal thrust and its eccentricity at the crown, examining the shape of the stability area. Assuming an infinite value for the friction coefficient, the collapse condition is reached when the stability area shrinks to a single point. The results obtained from both of these methods are in excellent agreement. The influence of compressive strength on the bearing capacity of the structures is also discussed.</p>\",\"PeriodicalId\":695,\"journal\":{\"name\":\"Meccanica\",\"volume\":\"97 1\",\"pages\":\"\"},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2024-04-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Meccanica\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1007/s11012-024-01781-7\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Meccanica","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s11012-024-01781-7","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0

摘要

本研究以极限分析下限定理为框架,旨在使用基于约束力密度法的计算方法,评估砌体拱和穹顶的反船形平衡。与通常采用的经典海曼假设不同,本文提出的方法考虑了材料中有限抗压强度的影响。假设具有独立分支集的网络具有固定的平面投影,则在每个关节处强制执行一套合适的局部约束,以考虑材料假设(包括有限抗压强度和零抗拉强度)所产生的极限弯矩。此外,通过为连接倾斜度指定一个几何定律,考虑了榫槽的立体结构。坍塌荷载是通过提出一个多约束最大化问题来确定的。该方法使用现代版的半分析杜兰-克雷方法进行验证。对于基准案例研究,如对称砌体拱和穹顶在轴对称荷载条件下的特定立体结构,根据水平推力及其在顶部的偏心率,以图形方式确定了符合平衡和强度要求的静态可接受解集,并检查了稳定区域的形状。假设摩擦系数为无限值,当稳定区域缩小到一个点时,就达到了坍塌条件。这两种方法得出的结果非常吻合。此外,还讨论了抗压强度对结构承载能力的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

摘要图片

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Limit analysis of masonry arches and domes with finite strength: funicular analysis versus stability area method

This study, framed within the context of the lower bound theorem of limit analysis, aims to assess the anti-funicular equilibrium of masonry arches and domes using a computational approach based on the constrained force density method. In contrast to the commonly adopted classical Heyman’s assumptions, the approach proposed here considers the effects of finite compressive strength in the material. Assuming a fixed plan projection for a network with independent sets of branches, a suitable set of local constraints is enforced at each joint to account for the limit bending moment resulting from the material’s assumptions, including limited compressive strength and zero tensile strength. Additionally, the stereotomy of the voussoirs is considered by assigning a geometric law to the joint inclination. The collapse load is determined by formulating a multi-constrained maximization problem. The method is validated using a modern version of the semi-analytical Durand-Claye’s method. For benchmark case studies, such as symmetric masonry arches and domes with specific stereotomies subjected to axi-symmetrical load conditions, the set of statically admissible solutions compatible with equilibrium and strength requirements is graphically determined in terms of the horizontal thrust and its eccentricity at the crown, examining the shape of the stability area. Assuming an infinite value for the friction coefficient, the collapse condition is reached when the stability area shrinks to a single point. The results obtained from both of these methods are in excellent agreement. The influence of compressive strength on the bearing capacity of the structures is also discussed.

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
Meccanica
Meccanica 物理-力学
CiteScore
4.70
自引率
3.70%
发文量
151
审稿时长
7 months
期刊介绍: Meccanica focuses on the methodological framework shared by mechanical scientists when addressing theoretical or applied problems. Original papers address various aspects of mechanical and mathematical modeling, of solution, as well as of analysis of system behavior. The journal explores fundamental and applications issues in established areas of mechanics research as well as in emerging fields; contemporary research on general mechanics, solid and structural mechanics, fluid mechanics, and mechanics of machines; interdisciplinary fields between mechanics and other mathematical and engineering sciences; interaction of mechanics with dynamical systems, advanced materials, control and computation; electromechanics; biomechanics. Articles include full length papers; topical overviews; brief notes; discussions and comments on published papers; book reviews; and an international calendar of conferences. Meccanica, the official journal of the Italian Association of Theoretical and Applied Mechanics, was established in 1966.
期刊最新文献
Investigation of droplet collision characteristics with moving film and its comparison with stationary film: unsteady and 3D CLSVOF method Compound control method for reliability of the robotic arms with clearance joint Multiscale topology optimization of anisotropic multilayer periodic structures based on the isogeometric analysis method CFD and ray tracing analysis of a discrete nozzle for laser metal deposition Design and performance investigation of a sliding-mode adaptive proportional–integral–derivative control for cable-breakage scenario
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1