Van Dat Pham, Ha Nguyen, Ngoc Tien Dao, Manh Khuyen Truong
{"title":"支承刚度对不完全平面拱桁架屈曲和后屈曲的影响","authors":"Van Dat Pham, Ha Nguyen, Ngoc Tien Dao, Manh Khuyen Truong","doi":"10.1134/S0025654424605834","DOIUrl":null,"url":null,"abstract":"<p>This paper presents a study on the effects of support stiffness on buckling and postbuckling of imperfect plane arch trusses. A imperfect plane truss element model considering large displacements is constructed based on the Updated Lagrangian formulation. This truss element model is used for buckling and postbuckling analysis of a plane arch truss with consideration of support stiffness, in order to investigate the effects of support stiffness on the overall stability of plane arch trusses. Some notable results presented herein include: (1) the relationship between critical load and support stiffness, (2) the load – displacement curves corresponding to different values of support stiffness, (3) the effects of imperfection on postbuckling of trusses. Two examples of plane arch truss are described and the results have been verified against the results of previous studies for a special case (i.e., rigid supports). This study shows that the effects of support stiffness on buckling and postbuckling of imperfect plane arch trusses is very significant and should be taken into account in the analysis of trusses considering large displacements.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 6","pages":"3656 - 3672"},"PeriodicalIF":0.6000,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Effect of Support Stiffness on Buckling and Post-Buckling of Imperfect Plane Arch Trusses\",\"authors\":\"Van Dat Pham, Ha Nguyen, Ngoc Tien Dao, Manh Khuyen Truong\",\"doi\":\"10.1134/S0025654424605834\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This paper presents a study on the effects of support stiffness on buckling and postbuckling of imperfect plane arch trusses. A imperfect plane truss element model considering large displacements is constructed based on the Updated Lagrangian formulation. This truss element model is used for buckling and postbuckling analysis of a plane arch truss with consideration of support stiffness, in order to investigate the effects of support stiffness on the overall stability of plane arch trusses. Some notable results presented herein include: (1) the relationship between critical load and support stiffness, (2) the load – displacement curves corresponding to different values of support stiffness, (3) the effects of imperfection on postbuckling of trusses. Two examples of plane arch truss are described and the results have been verified against the results of previous studies for a special case (i.e., rigid supports). This study shows that the effects of support stiffness on buckling and postbuckling of imperfect plane arch trusses is very significant and should be taken into account in the analysis of trusses considering large displacements.</p>\",\"PeriodicalId\":697,\"journal\":{\"name\":\"Mechanics of Solids\",\"volume\":\"59 6\",\"pages\":\"3656 - 3672\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2025-03-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mechanics of Solids\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0025654424605834\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0025654424605834","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
The Effect of Support Stiffness on Buckling and Post-Buckling of Imperfect Plane Arch Trusses
This paper presents a study on the effects of support stiffness on buckling and postbuckling of imperfect plane arch trusses. A imperfect plane truss element model considering large displacements is constructed based on the Updated Lagrangian formulation. This truss element model is used for buckling and postbuckling analysis of a plane arch truss with consideration of support stiffness, in order to investigate the effects of support stiffness on the overall stability of plane arch trusses. Some notable results presented herein include: (1) the relationship between critical load and support stiffness, (2) the load – displacement curves corresponding to different values of support stiffness, (3) the effects of imperfection on postbuckling of trusses. Two examples of plane arch truss are described and the results have been verified against the results of previous studies for a special case (i.e., rigid supports). This study shows that the effects of support stiffness on buckling and postbuckling of imperfect plane arch trusses is very significant and should be taken into account in the analysis of trusses considering large displacements.
期刊介绍：
Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.
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