冷彎薄壁構(gòu)件屈曲模態(tài)力學(xué)準(zhǔn)則的有限元驗(yàn)證
張登祥1,李占杰2,B W Schafer2
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張登祥1,李占杰2,B W Schafer2(1 長(zhǎng)沙理工大學(xué)水利工程學(xué)院,長(zhǎng)沙 410076;2 美國(guó)約翰霍普金斯大學(xué)土木工程系,巴爾的摩 21218)[摘要] 現(xiàn)有冷彎薄壁型鋼設(shè)計(jì)規(guī)范中需要獲知薄壁結(jié)構(gòu)各個(gè)模態(tài)屈曲特性,如局部板件屈曲、畸變屈曲和整體屈曲。從工程設(shè)計(jì)需要出發(fā),系統(tǒng)介紹約束有限元條分法的基礎(chǔ)理論及進(jìn)展,并著重闡述其在區(qū)分屈曲模態(tài)時(shí)的相關(guān)力學(xué)假設(shè)。對(duì)于由這些力學(xué)假設(shè)定義的模態(tài)是否正確,基于有限元靜力分析從一個(gè)全新的角度驗(yàn)證其合理性。[關(guān)鍵詞] 冷彎薄壁構(gòu)件;約束有限元條分法;屈曲分析;有限元方法中圖分類號(hào):TU31,O343,TU33文獻(xiàn)標(biāo)識(shí)碼:A文章編號(hào):1002-848X(2012)10-0065-06Finite element verification of the mechanic criteria of cold-formed thin-walled -steel member’s buckling mode definitionsZhang Dengxiang1, Li Zhanjie2, B W Schafer2(1 College of Hydraulic Engineering, Changsha University of Science and Technology, Changsha 410076, China; 2 Department of Civil Engineering, Johns Hopkins University, Baltimore MD 21218, USA)Abstract: In current-cold-formed thin-walled steel design specifications, buckling information of all the three types, local-plate buckling, distortional buckling and global buckling (or Euler buckling), are desired. From the desire of practical design, the basic theory of constrained finite strip method (cFSM) was systematically introduced and new progress was presented. An emphasis had been put on the associated mechanic assumptions for defining the buckling modes. For these mechanic assumptions, a brand-new view in terms of the definition of buckling modes was illustrated via the static finite element analysis to verify its validity.Keywords: cold-formed thin-walled-steel member;constrained finite strip method;buckling analysis;finite element method通訊作者:李占杰,博士,Email: lizhanjie@jhu.edu。參考文獻(xiàn)[1]YU W W. Cold-formed steel design[M]. NYC:Johns Wiley & Sons, Inc., 2000.[2]SCHAFER B W, PEKOZ T. Computational modeling of cold-formed steel: haracterizing geometric imperfections and residual stresses[J]. Journal of Constructional Steel Research, 1998, 47(3): 193-210.[3]MOEN C D, IGUSA T, SCHAFER B W. Prediction of residual stresses and strains in coldformed steel members[J]. Thin-Walled Structures, 2008, 46(11): 1274-1289.[4]AISI-S100-07 AISI specification for the design of cold-formed steel structural members[S]. Washington, D.C.: American Iron and Steel Institute,1996.[5]AS/NZS 4600 Cold-formed steel structures[S]. AS/NZS,1996.[6]AISI-S100-07 Appendix 1: Design of cold-formed steel structural members using Direct Strength Method supplement to the north American specification for the design of coldformed steel structures [S]. Washington, D.C.: American Iron and Steel Institute, 2004.[7]SCHAFER B W.Review: the direct strength method of cold-formed steel member design[J]. Journal of Constructional Steel Research, 2008,64(7-8):766-778.[8]CHEUNG Y K, THAM L G. The finite strip method[M]. Boca Raton: CRC Press, 1997.[9]HANCOCK G J. Local, distortional and lateral buckling of I beams[J]. Journal of the Structural Division, ASCE, 1978, 104(11):1787-1798.[10]AISI. Direct strength method design guide[M]. Washington D.C.:American Iron and Steel Institute, 2006.[11]SILVESTRE N, CAMOTIM D.First-order generalised beam theory for arbitrary orthotropic materials[J]. Thin-walled Structures,2002, 40(9):755-789.[12]SILVESTRE N, CAMOTIM D. Second-order generalised beam theory for arbitrary orthotropic materials[J]. Thin-walled Structures,2002, 40(9):791-820.[13]SCHAFER B W, D-NY S. Buckling analysis of cold-formed steel members using CUFSM: conventional and constrained finite strip methods[C]//Eighteenth International Specialty Conference on Cold-Formed Steel Structures, Orlando, FL, United States, 2006.[14]D-NY S, SCHAFER B W. Buckling mode decomposition of single-branched open crosssection members via finite strip method: derivation[J]. Thin-walled Structures, 2006, 44(5): 563-584.[15]D-NY S, SCHAFER B W. Buckling mode decomposition of single-branched open cross-section members via finite strip method: application and examples[J]. Thin-walled Structures,2006, 44(5):585-600.[16]D-NY S, SCHAFER B W. A full modal decomposition of thin-walled, single-branched open cross-section members via the constrained finite strip method[J]. Journal of Constructional Steel Research,2008, 64(1): 12-29.[17]D-NY S, SILVESTRE N, SCHAFER B W, et al. Buckling mode identification of thin-walled members: a comparison between the cFSM and GBT approaches[C]// Fifth International Conference on Coupled Instabilities in Metal Structures, Sydney, Australia, 2008.[18]LI Z, SCHAFER B W. FSM stability solutions for general boundary conditions and extension of cFSM[C]//The Twelfth International Conference on Civil, Structural and Environmental Engineering Computing, Funchal, Madeira, Portugal, 2009.
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