{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,6]],"date-time":"2026-02-06T02:46:22Z","timestamp":1770345982400,"version":"3.49.0"},"reference-count":32,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2020,8,30]],"date-time":"2020-08-30T00:00:00Z","timestamp":1598745600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51468007"],"award-info":[{"award-number":["51468007"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Long-span prestressed double-layer composite torsional reticulated shells have beautiful shapes, which make them a solution widely applied in public buildings requiring long-span structures, such as airports and stadiums. However, once the progressive collapse occurs, this will cause serious issues. There are few studies on the damage assessment of long-span spatial structures under accidental loads. This paper proposes a new dynamic damage evaluation index that takes into account the displacement and the cumulative plastic energy dissipation to evaluate the damage of the long-span prestressed double-layer composite torsional reticulated shell. Sleeve structures were applied to the long-span space structures to study their control effect on structural damage. The equivalent load transient unloading method was used to analyze the dynamic time history of the structure. Results show that the structure suffered severe damage and progressive collapse failure after removing four nodes at different positions near the supports. In the position where the plastic hinges first appear and the position with the maximum displacement, the sleeve structures have a poor damage control effect on the structure. Arranging the two sleeve structures in the position of maximum stress, the damage of the structure can be controlled, thus reducing the severe damage and progressive collapse failure to basic intact damage.<\/jats:p>","DOI":"10.3390\/sym12091434","type":"journal-article","created":{"date-parts":[[2020,8,30]],"date-time":"2020-08-30T06:06:22Z","timestamp":1598767582000},"page":"1434","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Damage Assessment and Progressive Collapse Resistance of a Long-Span Prestressed Double-Layer Composite Torsional Reticulated Shell"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7617-8679","authenticated-orcid":false,"given":"Xiaohui","family":"Zhang","sequence":"first","affiliation":[{"name":"Key Laboratory of C &amp; PC Structures of Ministry of Education, National Prestress Engineering Research Center, Southeast University, Nanjing 211189, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Haifang","family":"Long","sequence":"additional","affiliation":[{"name":"The College of Humanities and Science of Guizhou Minzu University, Guiyang 550025, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiyang","family":"Zhang","sequence":"additional","affiliation":[{"name":"Space Structures Research Center, GuiZhou University, Guiyang 550003, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bo","family":"Shen","sequence":"additional","affiliation":[{"name":"Space Structures Research Center, GuiZhou University, Guiyang 550003, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yonghui","family":"Hou","sequence":"additional","affiliation":[{"name":"Key Laboratory of C &amp; PC Structures of Ministry of Education, National Prestress Engineering Research Center, Southeast University, Nanjing 211189, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,8,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1061\/(ASCE)0887-3828(2001)15:1(31)","article-title":"Another look at Hartford civic center coliseum collapse","volume":"15","author":"Martin","year":"2001","journal-title":"J. Perform. Constr. Fac."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"808","DOI":"10.1016\/j.engfailanal.2004.12.020","article-title":"Recent failures in glulam structures and their causes","volume":"12","author":"Hansson","year":"2005","journal-title":"Eng. Fail. Anal."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"3113","DOI":"10.1016\/j.engstruct.2011.03.015","article-title":"Robustness of large-span timber roof structures\u2014Two examples","volume":"33","author":"Jorgen","year":"2011","journal-title":"Eng. Struct."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1016\/j.jcsr.2016.11.012","article-title":"Comparison of progressive collapse resistance of single-layer latticed domes under different loadings","volume":"129","author":"Zhao","year":"2017","journal-title":"J. Constr. Steel Res."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1016\/j.engstruct.2018.04.097","article-title":"New analytical calculation models for compressive arch action in reinforced concrete structures","volume":"168","author":"Lu","year":"2018","journal-title":"Eng. Struct."},{"key":"ref_6","first-page":"689","article-title":"Structural robustness of RC frame buildings under threat-independent damage scenarios","volume":"65","author":"Ventura","year":"2018","journal-title":"Struct. Eng. Mech."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1016\/j.engstruct.2018.06.060","article-title":"Progressive collapse triggered by fire induced column loss: Detrimental effect of thermal forces","volume":"172","author":"Gernay","year":"2018","journal-title":"Eng. Struct."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"122","DOI":"10.1016\/j.engstruct.2018.06.082","article-title":"Research and practice on progressive collapse and robustness of building structures in the 21st century","volume":"173","author":"Adam","year":"2018","journal-title":"Eng. Struct."},{"key":"ref_9","unstructured":"GSA (2003). Progressive Collapse Analysis and Design Guidelines for New Federal Office Buildings and Major Modernization Projects."},{"key":"ref_10","unstructured":"DOD UFC 4-023-03 (2009). Design of Buildings to Resist Progressive Collapse."},{"key":"ref_11","unstructured":"CECS 392-2014 (2015). Code for Anti-Collapse Design of Building Structures, China Association for Engineering Construction Standardization."},{"key":"ref_12","unstructured":"JSSC & CTBUH (2005). Guidelines for Collapse Control Design\u2014Construction of Steel Buildings with High Redundancy, Japan Iron and Steel Federation."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1061\/(ASCE)ST.1943-541X.0001868","article-title":"Experimental study and numerical simulation of the progressive collapse resistance of single-layer latticed domes","volume":"143","author":"Xu","year":"2017","journal-title":"J. Struct. Eng."},{"key":"ref_14","first-page":"112","article-title":"Structural vulnerability of a single-layer dome based on its form","volume":"140","author":"Zhu","year":"2014","journal-title":"J. Eng. Mech."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1260\/0266351011495197","article-title":"Dynamic Snap-Through Buckling Of Truss-Type Structures","volume":"16","author":"Sheidaii","year":"2001","journal-title":"Int. J. Space Struct."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1061\/(ASCE)CF.1943-5509.0001129","article-title":"Progressive collapse analysis of reticulated shell structure under severe earthquake loading considering the damage accumulation effect","volume":"32","author":"Zhou","year":"2018","journal-title":"J. Perform. Constr. Fac."},{"key":"ref_17","first-page":"20","article-title":"Progressive collapse resistance design of long-span steel structures","volume":"43","author":"Li","year":"2011","journal-title":"J. Sichuan Univ."},{"key":"ref_18","first-page":"45","article-title":"Analysis on progressive collapse resistance of truss string structure of Meijiang Exhibition Center","volume":"34","author":"Zhu","year":"2013","journal-title":"J Build. Struc."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1016\/j.jcsr.2013.06.014","article-title":"A mechanical model and experimental investigations for axially compressed sleeved column","volume":"89","author":"Hu","year":"2013","journal-title":"J. Constr. Steel Res."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"129","DOI":"10.12989\/sem.2013.45.1.129","article-title":"Theoretical and experimental study on load-carrying capacity of combined members consisted of inner and sleeved tubes","volume":"45","author":"Hu","year":"2013","journal-title":"Struct. Eng. Mech."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1016\/j.jcsr.2016.01.018","article-title":"Cyclic behavior of buckling-controlled braces","volume":"121","author":"Shen","year":"2016","journal-title":"J. Constr. Steel Res."},{"key":"ref_22","first-page":"783","article-title":"Theoretical study of sleeved compression members considering the core protrusion","volume":"66","author":"Zhang","year":"2018","journal-title":"Struct. Eng. Mech."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/j.engstruct.2018.09.086","article-title":"Static behaviors of buckling-monitoring members","volume":"178","author":"Zhang","year":"2019","journal-title":"Eng. Struct."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1016\/j.tws.2017.04.012","article-title":"Buckling analysis of stiffened plate structures by an improved meshfree flat shell formulation","volume":"117","author":"Sadamoto","year":"2018","journal-title":"Thin Walled Struct."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"919","DOI":"10.1007\/s00466-017-1384-5","article-title":"An effective meshfree reproducing kernel method for buckling analysis of cylindrical shells with and without cutouts","volume":"59","author":"Sadamoto","year":"2017","journal-title":"Comput. Mech."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"722","DOI":"10.1061\/(ASCE)0733-9445(1985)111:4(722)","article-title":"Mechanistic seismic damage model for reinforced concrete","volume":"111","author":"Park","year":"1985","journal-title":"J. Struct. Eng."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s13296-018-0030-1","article-title":"Assessment of the Progressive Collapse Resistance of Double-Layer Grid Space Structures Using Implicit and Explicit Methods","volume":"18","author":"Fu","year":"2018","journal-title":"Int. J. Steel Struct."},{"key":"ref_28","first-page":"13","article-title":"Performance-based seismic design of reticulated shells","volume":"51","author":"Nie","year":"2018","journal-title":"Chin. Civil Eng. J."},{"key":"ref_29","first-page":"11","article-title":"Parametric analysis of seismic performance of single- layer reticulated shell structure based on strain energy density","volume":"49","author":"Zhang","year":"2016","journal-title":"Chin. Civil Eng. J."},{"key":"ref_30","first-page":"33","article-title":"Theoretical and Experimental Analysis of Axial Compression Sleeved Column and Its Design","volume":"40","author":"Shen","year":"2013","journal-title":"J. Hunan Univ. (Nat. Sci. Ed.)"},{"key":"ref_31","unstructured":"FEMA356 (2000). Prestandard and Commentary for the Seismic Rehabilitation of Buildings."},{"key":"ref_32","first-page":"53","article-title":"Buckling control and application of axial compression steel member","volume":"39","author":"Wu","year":"2009","journal-title":"J. Southeast Univ. (Nat. Sci. Ed.)"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/9\/1434\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:04:48Z","timestamp":1760177088000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/9\/1434"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8,30]]},"references-count":32,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2020,9]]}},"alternative-id":["sym12091434"],"URL":"https:\/\/doi.org\/10.3390\/sym12091434","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,8,30]]}}}