Doświadczalne i obliczeniowe podejście do oceny struktur łukowych z blach podwójnie giętych. Przegląd najnowszych osiągnięć
DOI:
https://doi.org/10.24425/ace.2021.137152Abstrakt
Podwójnie gięte, samonośne struktury łukowe systemu K-span, stosowane są obecnie na runku światowym do wykonywania zadaszeń obiektów budowlanych jako alternatywna technologia w odniesieniu do tradycyjnych rozwiązań. System konstrukcyjny K-span zyskał popularność głównie z powodu prostej i taniej metody wytwarzania oraz szybkiego montażu. Obecnie powstają nowe odmiany tego sytemu, jednak nadal brak jest odpowiedniego sposobu projektowania. Trudności w projektowaniu są jedną z przyczyn awarii a nawet katastrof tego typu struktur. W latach osiemdziesiątych ubiegłego stulecia powstały pierwsze opracowania studialne dotyczące analiz badawczych i obliczeniowych zadaszeń łukowych z blach podwójnie giętych. Stanowiły one podstawy rozwoju dzisiejszej technologii systemu K-span, jednak straciły walory praktyczne z uwagi na zmieniające się uwarunkowania techniczne. Artykuł stanowi przegląd rozwoju technik badawczych i obliczeniowych dotyczących struktur łukowych z blach podwójnie giętych. W artykule przedstawiono wybrane prace naukowe, które były podstawą rozwoju technik badawczych i metod obliczeniowych a także ich współczesną kontynuację.Bibliografia
[1] J. Decker, C. Chiei, Quonset Hut, Princeton Archit.Press, New York, NY, 2005. https://doi.org/10.1007/1-56898-654-8
[2] J.S. Garnetr, World War II Temporary Military Buildings: A Brief History of the Architecture and Planning of Cantonments and Training Stations in the United States., Virginia, 1993
[3] K.L. Draper, Wartime Huts: The Development, Typology and Identification of Temporary Military Buildings in Britain 1914-1945, University of Cambridge, 2017
[4] H.A. Mang, Analysis of Double Corrugated Shell Structures by the Finite Element Method, Texas Tech University, 1974
[5] H.A. Mang, “Finite element analysis of doubly corrugated shells”, Journal of the Structural Division, no. 102, pp.2033-2051, 1976. http://cedb.asce.org/CEDBsearch/record.jsp?dockey=0006980 (accessed January 24, 2018)
[6] J.B. Richman, “K-span-consulting” n.d. http://k-span-consulting.com (accessed March 28, 2017)
[7] European Committee for Standardisation, EN 1993-1-1: Eurocode 3: Design of steel structures - Part 1-1: General rules and rules for buildings, 2005
[8] European Committee for Standardisation, EN 1993-1-3: Eurocode 3: Design of steel structures - Part 1-3: General rules - Supplementary rules for cold-formed members and sheeting, 2006
[9] European Committee for Standardisation, EN 1993-1-5: Eurocode 3: Design of steel structures - Part 1-5: General rules - Plated structural elements, 2006
[10] European Committee for Standardisation, EN 1993-1-6: Eurocode 3: Design of steel structures - Part 1-6: Strength and stability of shell structures, 2007
[11] A. Biegus, A. Kowal, “Collapse of halls made from cold-formed steel sheets”, Engineering Failure Analysis, no. 31, pp.189-194, Jul. 2013. https://doi.org/10.1016/j.engfailanal.2012.12.009
[12] P. Rindos, “V Starej Ľubovni sa zrútila strecha zimného štadióna”, Denník SME, n.d. https://spis.korzar.sme.sk/c/6696874/v-starej-lubovni-sa-zrutila-strecha-zimneho-stadiona.html (accessed December 8, 2017)
[13] J. Pustayová, “Spadnutá strecha štadióna: Príčina je už známa”, PLUS Jeden Deň, n.d. http://www.pluska.sk/regiony/stredne-slovensko/spadnuta-strecha-stadiona-pricina-je-znama.html (accessed December 8, 2017)
[14] А. Загуменская, “Руководство парка Южно-Сахалинска ищет причины обрушения крыши ангара (in Russian)”, Губернские Ведомости, 2018. https://skr.su/news/post/105972/ (accessed November 24, 2020)
[15] V. Amghel, S. Sorohan, N. Constatnin, I. Stolica, On the analysis on a cold formed steel profile arch structure, in: Acta Electroteh., 2016
[16] A. Piekarczuk, “Test-supported numerical analysis for evaluation of the load capacity of thin-walled corrugated profiles”, Bulletin of the Polish Academy of Sciences Technical Sciences, no. 65, Jan. 2017. https://doi.org/10.1515/bpasts-2017-0087
[17] R. Walentyński, R. Cybulski, K.J. Kozieł, Achilles’ heel of the ABM 120 double corrugated profiles, in: New Trends Statics Dyn. Build. Slovakia Univ. Technol. Bratislava, Faculty of Civil Engineering STU Bratislava Slovak Society of Mechanics SA, 2011: pp. 25-28
[18] S. Sweeney, D. Briassoulis, A. Kao, AD-A231 699. Evaluation of K-Span as a Rapidly Erectable Lightweight Mobilization Structure (RELMS), 1991. http://www.dtic.mil/docs/citations/ADA231699 (accessed July 10, 2018)
[19] D. Briassoulis, A. Kao, S. Sweeney, AD-A187 716. Determination of the Ultimate Loads for Corrugated-Steel, Barrel-Type Shell Structures., 1987. http://www.dtic.mil/docs/citations/ADA187716 (accessed July 10, 2018)
[20] K.L. Roye, Metal building construction using the MIC-240 ABM K-Span machine, Monterey, California, USA, 1996. http://www.dtic.mil/docs/citations/ADA322031 (accessed July 10, 2018)
[21] M.J. Yagodich, Numerical Evaluation of Thin-Shelled Structural Panels - D-Scholarship@Pitt, University of Pittsburgh, 2003. http://d-scholarship.pitt.edu/6977/ (accessed April 10, 2018)
[22] D. Zhadanov, V. Ulascvich, I. Zinkevich, “Experimental Testing of an Arched Roofing Panel Made of MIC-120 Thin-walled Cold-formed Steel Profiles with Transverse Corrugations”, СТРОИТЕЛЬСТВО. ПРИКЛАДНЫЕ НАУКИ. Строительные Конструкции, pp.33-38, 2015
[23] E. Airumyan, O. Boyko, Full-Scale Testing and Design of Frameless Arch Steel Roof, in: K. Virdi, F. Raras, J. Clarke, G. Armer (Eds.), Struct. Assessment. Role Large Full Scale Test., E & FN Spon, 1997: pp. 211-217
[24] L. Wu, X. Gao, Y. Shi, Y. Wang, “Theoretical and experimental study on interactive local buckling of archshaped corrugated steel roof”, Steel Structures, no. 6, pp.45-54, 2006
[25] L. Xu, Y. Gong, P. Guo, “Compressive tests of cold-formed steel curved panels”, Journal of Constructional Steel Research, no. 57, pp.1249-1265, Dec. 2001. https://doi.org/10.1016/S0143-974X(01)00048-7
[26] J. Zaraś, K. (Katarzyna) Kowal-Michalska, J. Rhodes, A simplified Computation Model of Arch-Shaped Corrugated Shell Roof, in: Thin-Walled Struct. Adv. Dev. Third Int. Conf. Thin-Walled Struct., Elsevier, 2001: pp. 109-118
[27] A. Piekarczuk, M. Malesa, M. Kujawinska, K. Malowany, “Application of Hybrid FEM-DIC Method for Assessment of Low Cost Building Structures”, Experimental Mechanics, 2012. https://doi.org/10.1007/s11340-012-9616-2
[28] European Committee for Standardisation, EN 1991-1-3: Eurocode 1: Actions on structures - Part 1-3: General actions - Snow loads, 2003
[29] F. Chen, X. Chen, X. Xie, X. Feng, L. Yang, “Full-field 3D measurement using multi-camera digital image correlation system”, Optics and Lasers in Engineering, no. 51, pp.1044-1052, Sep. 2013. https://doi.org/10.1016/j.optlaseng.2013.03.001
[30] M. Malesa, K. Malowany, U. Tomczak, B. Siwek, M. Kujawińska, A. Siemińska-Lewandowska, “Application of 3D digital image correlation in maintenance and process control in industry”, Computers in Industry, no. 64, pp.1301-1315, Dec. 2013. https://doi.org/10.1016/j.compind.2013.03.012
[31] H. Schreier, J.-J. Orteu, M.A. Sutton, Image Correlation for Shape, Motion and Deformation Measurements, Springer US, Boston, MA, 2009. https://doi.org/10.1007/978-0-387-78747-3
[32] W.H. Peters, W.F. Ranson, “Digital Imaging Techniques In Experimental Stress Analysis”, Optical Engineering, no. 21, Jun. 1982. https://doi.org/10.1117/12.7972925
[33] B. Pan, “Bias error reduction of digital image correlation using Gaussian pre-fiItering”, Optics and Lasers in Engineering, no. 51, pp.1-7, 2013. https://doi.org/10.1016/j.optlaseng.2013.04.009
[34] B. Pan, H. Xie, Z. Wang, K. Qian, Z. Wang, “Study on subset size selection in digital image correlation for speckle patterns”. Optics Express, no. 16, pp.7037-7048, 2008. https://doi.org/10.1364/OE.16.007037
[35] Y. Zhou, C. Sun, Y. Song, J. Chen, “Image pre-filtering for measurement error reduction in digital image correlation”, Optics and Lasers in Engineering, no. 65, pp.46-56, 2015. https://doi.org/10.1016/j.optlaseng.2014.04.018
[36] B. Pan, K. Li, W. Tong, “Fast, Robust and Accurate Digital Image Correlation Calculation Without Redundant Computations”, Experimental Mechanics, no. 53, pp.1277-1289, 2013. https://doi.org/10.1007/s11340-013- 9717-6
[37] M.A. Sutton, J.H. Yan, V. Tiwari, H.W. Schreier, J.J. Orteu, “The effect of out-of-plane motion on 2D and 3D digital image correlation measurements”, Optics and Lasers in Engineering, no. 46, pp.746-757, Oct. 2008. https://doi.org/10.1016/j.optlaseng.2008.05.005
[38] H.W. Schreier, “Systematic errors in digital image correlation caused by intensity interpolation”, Optical Engineering, no. 39, pp.2915, Nov. 2000. https://doi.org/10.1117/1.1314593
[39] P. Lava, S. Cooreman, S. Coppieters, M. De Strycker, D. Debruyne, “Assessment of measuring errors in DIC using deformation fields generated by plastic FEA”, Optics and Lasers in Engineering, no. 47, pp.747-753, Jul. 2009. https://doi.org/10.1016/j.optlaseng.2009.03.007
[40] M. Bornert, F. Brémand, P. Doumalin, J.C. Dupré, M. Fazzini, M. Grédiac, F. Hild, S. Mistou, J. Molimard, J.J. Orteu, L. Robert, Y. Surrel, P. Vacher, B. Wattrisse, “Assessment of digital image correlation measurement errors: Methodology and results”, Experimental Mechanics, no. 49, pp.353-370, 2009. https://doi.org/10.1007/s11340-008-9204-7
[41] R. Balcaen, L. Wittevrongel, P.L. Reu, P. Lava, D. Debruyne, “Stereo-DIC Calibration and Speckle Image Generator Based on FE Formulations”, Experimental Mechanics, no. 57, pp.703-718, Jun. 2017. https://doi.org/10.1007/s11340-017-0259-1
[42] Z. Tang, J. Liang, Z. Xiao, C. Guo, “Large deformation measurement scheme for 3D digital image correlation method”, Optics and Lasers in Engineering, no. 50, pp.122-130, Feb. 2012. https://doi.org/10.1016/j.optlaseng.2011.09.018
[43] M. Kujawinska, M. Malesa, K. Malowany, A. Piekarczuk, L. Tymińska-Widmer, P. Targowski, Digital image correlation method: a versatile tool for engineering and art structures investigations, in: R. Rodríguez-Vera, R. Díaz-Uribe (Eds.), 22nd Congr. Int. Comm. Opt. Light Dev. World, Aug. 2011: p. 80119R. https://doi.org/10.1117/12.915566
[44] M. Malesa, K. Malowany, J. Pawlicki, M. Kujawinska, P. Skrzypczak, A. Piekarczuk, T. Lusa, A. Zagorski, “Non-destructive testing of industrial structures with the use of multi-camera Digital Image Correlation method”, Engineering Failure Analysis, no. 69, pp.122-134, Nov. 2016. https://doi.org/10.1016/j.engfailanal.2016.02.002
[45] H.A. Bruck, S.R. McNeill, M.A. Sutton, W.H. Peters, “Digital image correlation using Newton-Raphson method of partial differential correction”, Experimental Mechanics, no. 29, pp.261-267, Sep. 1989. https://doi.org/10.1007/BF02321405
[46] A. Piekarczuk, “Experimental and numerical studies of double corrugated steel arch panels”, Thin-Walled Structures, no. 140, pp.60-73, Jul. 2019. https://doi.org/10.1016/j.tws.2019.03.032
[47] X.P. Wang, C.R. Jiang, G.Q. Li, S.Y. Wang, “Full-scale tests and finite element analysis of arched corrugated steel roof under static loads”, Steel and Composite Structures, no. 7, pp.339-354, Aug. 2007. https://doi.org/10.12989/scs.2007.7.4.339
[48] L.T. Sun, L.S. Lin, “Equivalent Analysis of Elastic Constants and Stability Calculation of Corrugated-Arch Metal Roof”, Advanced Materials Research, no. 542-543, pp.106-110, Jun. 2012. https://doi.org/10.4028/www.scientific.net/amr.542-543.106
[49] A. Piekarczuk, K. Malowany, P. Więch, M. Kujawińska, P. Sulik, “Stability and bearing capacity of archshaped corrugated shell elements: experimental and numerical study”, Bulletin of the Polish Academy of Sciences Technical Sciences, no. 63, pp.113-123, Jan. 2015. https://doi.org/10.1515/bpasts-2015-0013
[50] A. Piekarczuk, K. Malowany, “Comparative analysis of numerical models of arch-shaped steel sheet sections”, Archives of Civil and Mechanical Engineering, no. 16, pp.645-658, Sep. 2016. https://doi.org/10.1016/j.acme.2016.04.006
[51] A. Piekarczuk, P. Więch, R. Cybulski, “Experimental method to evaluate the load-carrying capacity of double corrugated sheet profiles”, Thin-Walled Structures, no. 144, pp.106283, Nov. 2019. https://doi.org/10.1016/j.tws.2019.106283
[52] R. Cybulski, R. Walentyński, M. Cybulska, “Local buckling of cold-formed elements used in arched building with geometrical imperfections”, Journal of Constructional Steel Research, no. 96, pp.1-13, May 2014. https://doi.org/10.1016/j.jcsr.2014.01.004
[53] R. Cybulski, Analysis of local stability of doubly corrugated thin-walled structures, Silesian University of Technology. Poland, 2015
[54] R.S. Crespo, Linear Stability Analysis of Double Corrugated 120 ABM Steel Arch Panels, Silesian University of Technology. Poland, 2012
[55] A. Piekarczuk, Experimental and computational evaluation methods of arch-shaped roof made of double corrugated shells (In Polish), Instytut Techniki Budowlanej, Warsaw, 2018
[56] Y.L. Pi, M.A. Bradford, F. Tin-Loi, “Nonlinear analysis and buckling of elastically supported circular shallow arches”, International Journal of Solids and Structures, no. 44, pp.2401-2425, Apr. 2007. https://doi.org/10.1016/j.ijsolstr.2006.07.011
[57] Y.L. Pi, M.A. Bradford, “Non-linear in-plane postbuckling of arches with rotational end restraints under uniform radial loading”, International Journal of Non-Linear Mechanics, no. 44, pp.975-989, Nov. 2009. https://doi.org/10.1016/j.ijnonlinmec.2009.07.003
[58] Y.-L. Pi, M.A. Bradford, “Lateral-Torsional Buckling Analysis of Arches Having In-Plane Rotational End Restraints under Uniform Radial Loading”, Journal of Engineering Mechanics, no. 139, pp.1602-1609, Nov. 2013. https://doi.org/10.1061/(asce)em.1943-7889.0000599
[59] Q. Han, Y. Cheng, Y. Lu, T. Li, P. Lu, “Nonlinear buckling analysis of shallow arches with elastic horizontal supports”, Thin-Walled Structures, no. 109, pp.88-102, Dec. 2016. https://doi.org/10.1016/j.tws.2016.09.016
[60] Y. Lu, Y. Cheng, Q. Han, “Experimental investigation into the in-plane buckling and ultimate resistance of circular steel arches with elastic horizontal and rotational end restraints”, Thin-Walled Structures, no. 118, pp.164-180, Sep. 2017. https://doi.org/10.1016/J.TWS.2017.05.010
[61] Y. Zhou, Z. Yi, I. Stanciulescu, “Nonlinear Buckling and Postbuckling of Shallow Arches With Vertical Elastic Supports”, Journal of Applied Mechanics, no. 86, Jun. 2019. https://doi.org/10.1115/1.4042572
[62] X. Gao, L. Wu, H. Zhu, “Interactive local buckling analysis of corrugated plate assemblies of channel sections under uniform compression”, Journal of Building Structures, no. 26, pp.39-44, 2005
[63] L. Bruno, M. Sassone, F. Venuti, “Effects of the Equivalent Geometric Nodal Imperfections on the stability of single layer grid shells”, Engineering Structures, no. 112, pp.184-199, Apr. 2016. https://doi.org/10.1016/j.engstruct.2016.01.017
[64] J.L. Morais, F.M.A. Silva, “Influence of modal coupling and geometrical imperfections on the nonlinear buckling of cylindrical panels under static axial load”, Engineering Structures, no. 183, pp.816-829, Mar. 2019. https://doi.org/10.1016/j.engstruct.2018.12.032
[65] J. Shen, M.A. Wadee, “Sensitivity of elastic thin-walled rectangular hollow section struts to manufacturing tolerance level imperfections”, Engineering Structures, no. 170, pp.146-166, Sep. 2018. https://doi.org/10.1016/j.engstruct.2018.05.045
[66] X.Z. Cui, Y.G. Li, H.P. Hong, “Reliability of stability of single-layer latticed shells with spatially correlated initial geometric imperfection modeled using conditional autoregressive model”, Engineering Structures, no. 201, pp.109787, Dec. 2019. https://doi.org/10.1016/j.engstruct.2019.109787
[67] Z.L. Du, Z.X. Ding, Y.P. Liu, S.L. Chan, “Advanced flexibility-based beam-column element allowing for shear deformation and initial imperfection for direct analysis”, Engineering Structures, no. 199, pp.109586, Nov. 2019. https://doi.org/10.1016/j.engstruct.2019.109586
[68] Z.C. Fasoulakis, X.A. Lignos, T.P. Avraam, S.P. Katsatsidis, “Investigation on single-bolted cold-formed steel angles with geometric imperfections under compression”, Journal of Constructional Steel Research, no. 162, pp.105733, Nov. 2019. https://doi.org/10.1016/j.jcsr.2019.105733
[69] A. Beyer, N. Boissonnade, A. Khelil, A. Bureau, “Influence of assumed geometric and material imperfections on the numerically determined ultimate resistance of hot-rolled U-shaped steel members”, Journal of Constructional Steel Research, no. 147, pp.103-115, Aug. 2018. https://doi.org/10.1016/j.jcsr.2018.03.021
[70] Z. Sadovský, J. Kriváček, V. Ivančo, A. Ďuricová, “Computational modelling of geometric imperfections and buckling strength of cold-formed steel”, Journal of Constructional Steel Research, no. 78, pp.1-7, Nov. 2012. https://doi.org/10.1016/j.jcsr.2012.06.005
[71] J.M.F.. Holst, J.M. Rotter, C.R. Calladine, “Imperfections and buckling in cylindrical shells with consistent residual stresses”, Journal of Constructional Steel Research, no. 54, pp.265-282, May 2000. https://doi.org/10.1016/S0143-974X(99)00047-4
[72] J. Shen, M.A. Wadee, “Sensitivity to local imperfections in inelastic thin-walled rectangular hollow section struts”, Structures, no. 17, pp.43-57, 2019. https://doi.org/10.1016/j.istruc.2018.12.006
[73] F. Walport, L. Gardner, D.A. Nethercot, “Equivalent bow imperfections for use in design by second order inelastic analysis”, Structures, no. 26, pp.670-685, Aug. 2020. https://doi.org/10.1016/j.istruc.2020.03.065
[74] J. Sorić, “Imperfection sensitivity of internally-pressurized torispherical shells”, Thin-Walled Structures, no. 23, pp.57-66, Jan. 1995. https://doi.org/10.1016/0263-8231(95)00004-W
[75] Z. Lu, H. Obrecht, W. Wunderlich, “Imperfection sensitivity of elastic and elastic-plastic torispherical pressure vessel heads”, Thin-Walled Structures, no. 23, pp.21-39, Jan. 1995. https://doi.org/10.1016/0263-8231(95)94359-2
[76] C.K. Mak, K. Der-Wang, “Finite element analysis of buckling and post-buckling behaviors of arches with geometric imperfections”, Computers and Structures, no. 3, pp.149-161, Jan. 1973. https://doi.org/10.1016/0045-7949(73)90080-1
[77] Y. Zhou, W. Chang, I. Stanciulescu, “Non-linear stability and remote unconnected equilibria of shallow arches with asymmetric geometric imperfections”, International Journal of Non-Linear Mechanics, no. 77, pp.1-11, Dec. 2015. https://doi.org/10.1016/j.ijnonlinmec.2015.06.015
[78] P.C. Vales, M.C. Ribera, M.F. Ballester, F.M. Carvajal, “Compression behaviour of trapezoidal steel sheets with transverse corrugations”, Steel Construction, no. 12, pp.215-221, Aug. 2019. https://doi.org/10.1002/stco.201900017
[79] C.A. Dimopoulos, C.J. Gantes, “Nonlinear in-plane behavior of circular steel arches with hollow circular crosssection”, Journal of Constructional Steel Research, no. 64, pp.1436-1445, Dec. 2008. https://doi.org/10.1016/j.jcsr.2008.01.005
[80] D. Camotim, C. Basaglia, N. Silvestre, “GBT buckling analysis of thin-walled steel frames: A state-of-the-art report”, Thin-Walled Structures, no. 48, pp.726-43, Oct. 2010. https://doi.org/10.1016/j.tws.2009.12.003
[81] N. Silvestre, A.P.C. Duarte, J.P. Martins, L.S. da Silva, “GBT Buckling Analysis of Cylindrical Panels Under Compression”, Structures, no. 17, pp.34-42, Feb. 2019. https://doi.org/10.1016/j.istruc.2018.12.007
[82] A.D. Martins, N. Silvestre, “Modal analysis and imperfection sensitivity of the post-buckling behaviour of cylindrical steel panels under in-plane bending”, Engineering Structures, no. 207, pp.110127, Mar. 2020. https://doi.org/10.1016/j.engstruct.2019.110127
[83] V.K. Verma, “Thin-walled curved beams. I: Formulation of Nonlinear Equations”, Journal of Engineering Mechanics, no. 122, pp.483-483, May 1996. https://doi.org/10.1061/(ASCE)0733-9399(1996)122:5(483)
[84] Y.J. Kang, C.H. Yoo, “Thin-walled curved beams. II: Analytical solutions for buckling of arches”, Journal of Engineering Mechanics, no. 120, pp.2102-2125, Oct. 1994. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:10(2102)
[85] H.R. Meyer-Piening, R. Anderegg, “Buckling and postbuckling investigations of imperfect curved stringerstiffened composite shells. Part A: Experimental investigation and effective width evaluation”, Thin-Walled Structures, no. 23, pp.323-338, Jan. 1995. https://doi.org/10.1016/0263-8231(95)94360-6
[86] M.A. Stiftinger, I.C. Skrna-Jakl, F.G. Rammerstorfer, “Buckling and postbuckling investigations of imperfect curved stringer-stiffened composite shells. Part B: Computational investigations”, Thin-Walled Structures, no. 23, pp.339-350, Jan. 1995. https://doi.org/10.1016/0263-8231(95)00021-5
[87] R.S. Srinivasan, L.S. Ramachandra, “Axisymmetric buckling and post-buckling of bimodulus annular plates”, Engineering Structures, no. 11, pp.195-198, Jul. 1989. https://doi.org/10.1016/0141-0296(89)90007-2
[88] A.F. Mateus, J.A. Witz, “Parametric study of the post-buckling behaviour of steel plates”, Engineering Structures, no. 23, pp.172-185, Feb. 2001. https://doi.org/10.1016/S0141-0296(00)00005-5
[89] L. Gardner, A. Fieber, L. Macorini, “Formulae for Calculating Elastic Local Buckling Stresses of Full Structural Cross-sections”, Structures, no. 17, pp.2-20, Feb. 2019. https://doi.org/10.1016/j.istruc.2019.01.012
[90] Y.-L.L. Pi, N.S.S. Trahair, “Non-linear buckling and postbuckling of elastic arches”, Engineering Structures, no. 20, pp.571-579, Jul. 1998. https://doi.org/10.1016/S0141-0296(97)00067-9
[91] M.A. Bradford, Y.L. Pi, G. Yang, X.C. Fan, “Effects of approximations on non-linear in-plane elastic buckling and postbuckling analyses of shallow parabolic arches”, Engineering Structures, no. 101, pp.58-67, Oct. 2015. https://doi.org/10.1016/j.engstruct.2015.07.008
[92] C.-F. Hu, Y.-M. Huang, “In-plane nonlinear elastic stability of pin-ended parabolic multi-span continuous arches”, Engineering Structures, no. 190, pp.435-446, Jul. 2019. https://doi.org/10.1016/j.engstruct.2019.04.013
[93] D. Kim, R.A. Chaudhuri, “Postbuckling behavior of symmetrically laminated thin shallow circular arches”, Composite Structures, no. 87, pp.101-108, Jan. 2009. https://doi.org/10.1016/j.compstruct.2008.01.005
[94] E.H. Boutyour, H. Zahrouni, M. Potier-Ferry, M. Boudi, “Asymptotic-numerical method for buckling analysis of shell structures with large rotations”, Journal of Computational and Applied Mathematics, no. 168, pp.77-85, Jul. 2004. https://doi.org/10.1016/J.CAM.2003.05.010
[95] A.D. Martins, N. Silvestre, “Modal analysis of the post-buckling behaviour of cylindrical steel panels under compression: Imperfection sensitivity and local2 interaction”, Thin-Walled Structures, no. 144, pp.106345, Nov. 2019. https://doi.org/10.1016/j.tws.2019.106345
[96] J. Zhu, M.M. Attard, D.C. Kellermann, “In-plane nonlinear buckling of circular arches including shear deformations”, Archive of Applied Mechanics, no. 84, pp.1841-1860, 2014. https://doi.org/10.1007/s00419-014-0890-6
[97] Y.L. Pi, M.A. Bradford, B. Uy, “In-plane stability of arches”, International Journal of Solids and Structures, no. 39, pp.105-125, Jan. 2001. https://doi.org/10.1016/S0020-7683(01)00209-8
[98] M.A. Bradford, B. Uy, Y.-L. Pi, “In-Plane Elastic Stability of Arches under a Central Concentrated Load”, Journal of Engineering Mechanics, no. 128, pp.710-719, Jul. 2002. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:7(710)
[99] H. Lu, A. Liu, Y.L. Pi, M.A. Bradford, J. Fu, Y. Huang, “Localized loading and nonlinear instability and postinstability of fixed arches”, Thin-Walled Structures, no. 131, pp.165-178, Oct. 2018. https://doi.org/10.1016/j.tws.2018.06.019
[100] M. Bateni, M.R.R. Eslami, “Non-linear in-plane stability analysis of FG circular shallow arches under uniform radial pressure”, Thin-Walled Structures, no. 94, pp.302-313, Sep. 2015. https://doi.org/10.1016/j.tws.2015.04.019
[101] S. Yan, X. Shen, Z. Jin, “Instability of imperfect non-uniform shallow arch under uniform radial pressure for pinned and fixed boundary conditions”, Thin-Walled Structures, no. 132, pp.217-236, Nov. 2018. https://doi.org/10.1016/j.tws.2018.08.018
[102] S. Jin, Z. Li, F. Huang, D. Gan, R. Cheng, G. Deng, “Constrained shell finite element method for elastic buckling analysis of thin-walled members”, Thin-Walled Structures, no. 145, pp.106409, Dec. 2019. https://doi.org/10.1016/J.TWS.2019.106409
[103] J.K. Paik, J.K. Seo, “Nonlinear finite element method models for ultimate strength analysis of steel stiffened-plate structures under combined biaxial compression and lateral pressure actions-Part II: Stiffened panels”, Thin-Walled Structures, no. 47, pp.998-1007, Aug. 2009. https://doi.org/10.1016/j.tws.2008.08.006
[104] S. Ádány, “Constrained shell Finite Element Method for thin-walled members, Part 1: constraints for a single band of finite elements”, Thin-Walled Structures, no. 128, pp.43-55, Jul. 2018. https://doi.org/10.1016/j.tws.2017.01.015
[105] S. Ádány, D. Visy, R. Nagy, “Constrained shell Finite Element Method, Part 2: application to linear buckling analysis of thin-walled members”, Thin-Walled Structures, no. 128, pp.56-70, Jul. 2018. https://doi.org/10.1016/j.tws.2017.01.022
[106] S. Ádány, “Modal identification of thin-walled members by using the constrained finite element method”, Thin-Walled Structures, no. 140, pp.31-42, Jul. 2019. https://doi.org/10.1016/j.tws.2019.03.029
[107] S. Ádány, “Shell element for constrained finite element analysis of thin-walled structural members”, Thin-Walled Structures, no. 105, pp.135-146, Aug. 2016. https://doi.org/10.1016/j.tws.2016.04.012
[108] M. Maali, A.C. Aydın, H. Showkati, M. Sağıroğlu, M. Kılıç, “The effect of longitudinal imperfections on thin-walled conical shells”, Journal of Building Engineering, no. 20, pp.424-441, Nov. 2018. https://doi.org/10.1016/j.jobe.2018.08.005
[109] A.T. Sarawit, Y. Kim, M.C.M. Bakker, T. Peköz, The finite element method for thin-walled members-applications, in: Thin-Walled Struct., Elsevier, Feb. 2003: pp. 191-206. https://doi.org/10.1016/S0263-8231(02)00087-3
[110] M.C.M. Bakker, T. Peköz, The finite element method for thin-walled members - Basic principles, in: Thin-Walled Struct., Elsevier, Feb. 2003: pp. 179-189. https://doi.org/10.1016/S0263-8231(02)00086-1
[111] V. Ungureanu, D. Dubina, “Recent research advances on ECBL approach. Part I: Plastic-elastic interactive buckling of cold-formed steel sections”, Thin-Walled Structures, no. 42, pp.177-194, Feb. 2004. https://doi.org/10.1016/S0263-8231(03)00056-9
[112] M. Kotełko, “Load-capacity estimation and collapse analysis of thin-walled beams and columns - Recent advances”, Thin-Walled Structures, no. 42, pp.153-175, Feb. 2004. https://doi.org/10.1016/S0263-8231(03)00055-7
[113] A. Teter, Z. Kolakowski, “Interactive buckling and load carrying capacity of thin-walled beam-columns with intermediate stiffeners”, Thin-Walled Structures, no. 42, pp.211-254, Feb. 2004. https://doi.org/10.1016/S0263-8231(03)00058-2
[114] P. Casariego, M. Casafont, M. Ferrer, F. Marimon, “Analytical study of flat and curved trapezoidal cold formed steel sheets by means of the yield line theory. Part 2: Curved sheets with transverse corrugations”, Thin-Walled Structures, no. 141, pp.693-712, Aug. 2019. https://doi.org/10.1016/j.tws.2018.12.018
[115] I.D. Thanasoulas, C.E. Douthe, C.J. Gantes, X.A. Lignos, “Influence of roller-bending on RHS steel arches: Experimental and numerical investigation”, Thin-Walled Structures, no. 131, pp.668-680, Oct. 2018. https://doi.org/10.1016/j.tws.2018.07.027
[116] W.M. Quach, J.G. Teng, K.F. Chung, “Finite element predictions of residual stresses in press-braked thin-walled steel sections”, Engineering Structures, no. 28, pp.1609-1619, Sep. 2006. https://doi.org/10.1016/j.engstruct.2006.02.013
[117] C.D. Moen, T. Igusa, B.W.W. Schafer, “Prediction of residual stresses and strains in cold-formed steel members”, Thin-Walled Structures, no. 46, pp.1274-1289, Nov. 2008. https://doi.org/10.1016/j.tws.2008.02.002
[118] W.M. Quach, J.G. Teng, K.F. Chung, “Residual stresses in steel sheets due to coiling and uncoiling: A closed-form analytical solution”, Engineering Structures, no. 26, pp.1249-1259, Jul. 2004. https://doi.org/10.1016/j.engstruct.2004.04.005
[119] S.H. Li, G. Zeng, Y.F. Ma, Y.J. Guo, X.M. Lai, “Residual stresses in roll-formed square hollow sections”, Thin-Walled Structures, no. 47, pp.505-513, May 2009. https://doi.org/10.1016/j.tws.2008.10.015
[120] Q. Han, Z. Han, Y. Lu, “Experimental and numerical investigations on residual stresses in hot-bent circular steel tube”, Journal of Constructional Steel Research, no. 161, pp.31-46, Oct. 2019. https://doi.org/10.1016/j.jcsr.2019.06.008
[121] D. Kollár, B. Kövesdi, “Welding simulation of corrugated web girders - Part 2: Effect of manufacturing on shear buckling resistance”, Thin-Walled Structures, no. 141, pp.477-488, Aug. 2019. https://doi.org/10.1016/j.tws.2019.04.035
[122] D. Kollár, B. Kövesdi, “Welding simulation of corrugated web girders - Part 1: Effect of manufacturing on residual stresses and imperfections”, Thin-Walled Structures, pp.106107, May 2019. https://doi.org/10.1016/j.tws.2019.04.006
[123] H. Amouzegar, B.W. Schafer, M. Tootkaboni, “An incremental numerical method for calculation of residual stresses and strains in cold-formed steel members”, Thin-Walled Structures, no. 106, pp.61-74, Sep. 2016. https://doi.org/10.1016/j.tws.2016.03.019
[124] Y. Yao, W.M. Quach, B. Young, “Finite element-based method for residual stresses and plastic strains in cold-formed steel hollow sections”, Engineering Structures, no. 188, pp.24-42, Jun. 2019. https://doi.org/10.1016/j.engstruct.2019.03.010
[125] W. Liu, K.J.R. Rasmussen, H. Zhang, “Modelling and probabilistic study of the residual stress of cold-formed hollow steel sections”, Engineering Structures, no. 150, pp.986-995, Nov. 2017. https://doi.org/10.1016/j.engstruct.2017.08.004
[126] M.M. Pastor, J. Bonada, F. Roure, M. Casafont, “Residual stresses and initial imperfections in non-linear analysis”, Engineering Structures, no. 46, pp.493-507, Jan. 2013. https://doi.org/10.1016/j.engstruct.2012.08.013
[127] A. Mutafi, N. Yidris, J. Loughlan, R. Zahari, M.R. Ishak, “Investigation into the distribution of residual stresses in pressed-braked thin-walled steel lipped channel sections using the 3D-FEM technique”, Thin-Walled Structures, no. 135, pp.437-445, Feb. 2019. https://doi.org/10.1016/j.tws.2018.11.003
[128] I.C. Noyan, J.B. Cohen, Residual Stress. Measurement by Diffraction and Interpretation, Springer-Verlag, New York, 2013
[129] M. Howes, T. Inoue, M. Park, Handbook of Residual Stress and Deformation of Steel, ASM International, 2002.
English
Język Polski