Technology Phu Cuong Nguyen Advanced Analysis for for Three-Dimensional Three-Dimensional Semi-Rigid Steel Frames subjected to Static and Dynamic Loadings Doctoral Thesis / Dissertation Bibliographic information published by the German National Library: The German National Library lists this publication in the National Bibliography; detailed bibliographic data are available on the Internet at http://dnb.dnb.de This book is copyright material and must not be copied, reproduced, transferred, distributed, leased, licensed or publicly performed or used in any way except as specifically permitted in writing by the publishers, as allowed under the terms and conditions under which it was purchased or as strictly permitted by applicable copyright law Any unauthorized distribution or use of this text may be a direct infringement of the author s and publisher s rights and those responsible may be liable in law accordingly Imprint: Copyright © 2014 GRIN Verlag ISBN: 9783668031371 This book at GRIN: https://www.grin.com/document/304587 Phu Cuong Nguyen Advanced Analysis for Three-Dimensional Semi-Rigid Steel Frames subjected to Static and Dynamic Loadings GRIN Verlag GRIN - Your knowledge has value Since its foundation in 1998, GRIN has specialized in publishing academic texts by students, college teachers and other academics as e-book and printed book The website www.grin.com is an ideal platform for presenting term papers, final papers, scientific essays, dissertations and specialist books Visit us on the internet: http://www.grin.com/ http://www.facebook.com/grincom http://www.twitter.com/grin_com Advanced Analysis for Three-Dimensional Semi-Rigid Steel Frames subjected to Static and Dynamic Loadings Nguyen Phu Cuong The Graduate School Sejong University Department of Civil & Environmental Engineering Advanced Analysis for Three-Dimensional Semi-Rigid Steel Frames subjected to Static and Dynamic Loadings Nguyen Phu Cuong A Dissertation Submitted to the Department of Civil & Environmental Engineering and the Graduate School of Sejong University in partial fulfillment of the requirements for the degree of Doctor of Philosophy June 2014 Approved by Seung-Eock Kim Major Advisor This certifies that the dissertation of Nguyen Phu Cuong is approved The Graduate School Sejong University June 2014 DEDICATION This dissertation is dedicated to my parents, my wife, and my daughters ACKNOWLEDGEMENTS First of all, I would like to express my deep gratitude and respect to my advisor, Professor Seung-Eock Kim, for his guidance and support throughout my doctoral course in South Korea The professional knowledge and research methodology that I learned from him have been useful in order to pursue my goal in life In addition, I wish to thank Professors Seung-Eock Kim, Hyuk-Chun Noh, Jong-Jae Lee, Dong-Joo Kim, JaeHong Lee, Nam-Shik Ahn and Ki-Hak Lee for their t heir valuable lectures and warm-hearted treatment towards me over the years Besides my adviser, I wish to thank my thesis committee committ ee members for their guidance and positive comments on my thesis I greatly appreciate Professor Nguyen-Vu Duong, Director, John Von Neumann Institute - Vietnam National University HCMC, who firstly taught me scientific research methodology I am grateful for the assistance from all my friends in the Vietnamese Student Association and in the Bridge and Steel Structure Laboratory at Sejong University I can never forget about what you have shared with me in happiness I wish you all brilliant success in your future The financial support given by both Sejong University and the Bridge and Steel Structure Laboratory for my doctoral course is greatly appreciated Finally, the great motivation that helped me to overcome obstacles during the course of this research was the endless encouragement and support from my family, especially my wife and my parents I would like to thank deeply them for this invaluable sacrifice and love I would like to dedicate this dissertation to my parents Van-Phu and My-Le, my lovely daughters Dan-Chau and Lam-Chau and my wife Ngoc-Chi Seoul, June 2014 Nguyen Phu Cuong functions The spread-of-plasticity and residual stresses are indirectly considered using the reduced tangent modulus In the Chapter IV, a nonlinear inelastic beam-column finite element formulation using stability functions is presented for nonlinear inelastic static and dynamic analysis of space semi-rigid steel frames The spread-of-plasticity is captured by dividing into several fibers on the cross sections and monitoring throughout the member length using selected integration points Residual stresses stresses can be directly assigned for fibers f ibers as initial stresses The benefit of employing the stability functions is that using only one element per member can accurately capture the second-order effects 198 A space multi-spring element is developed to simulate semi-rigid beam-to-column connections The mathematic models proposed from curve fitting of static experimental tests of beam-to-column joints are employed for skeleton s keleton curves of the moment-rotation relationship of semi-rigid connections The cyclic behavior of connections is traced by the independent hardening model For the nonlinear static analysis, the generalized displacement displacement control method is used to solve nonlinear equilibrium equations because of its general numerical stability and efficiency This algorithm can accurately trace the equilibrium path of nonlinear problems with multiple limit points For the nonlinear time-history analysis, the HilbertHill-Taylor method combined with the Newton-Raphson equilibrium iterative method is adopted for solving nonlinear equations of motion The accuracy and computational efficiency of the proposed programs are verified throughout a wide range of numerical examples by comparing the obtained results with those predicted by ABAQUS, SAP2000, and other results available in the literature l iterature Based on the results of this study, the conclusions can be made as follows: The nonlinear inelastic 2-D beam-column finite element including semi-rigid connections is developed for nonlinear time-history analysis of planar steel frames in the Chapter II The effects of distributed plasticity, geometric nonlinearities, flexibility of connections, bowing are directly considered in the elemental tangent stiffness matrix These effects can be captured accurately by using several sub-elements per member A structural analysis program named NSAP (Nonlinear Structural Analysis Program) was successfully successfu lly developed using the procedure mentioned in the Chapter II 199 The Chapter III and IV presented the innovations for the Practical Advanced Analysis Program (PAAP) in detail The PAAP program can accurately and computationally efficiently perform the nonlinear inelastic behavior of threedimensional steel frames with semi-rigid connections subjected to static and dynamic loadings The second-order spread-of-plasticity beam-column element and the beam-tocolumn connection element are successfully added to the element library of PAAP program Using only one element per member with two to five integration points along the member length, it can be capture exactly the spread-of-plasticity behavior of steel framed structures Thus, it can be concluded that the PAAP program promises to be a valuable tool not only for research but also for daily use in practical pr actical design 2. Recommendations Based on the results of this study, some recommendations are suggested for future works as follows: Most current analysis programs using the beam-column methods are unable to model the inelastic lateral-torsional buckling and warping effects directly For this reason, the slenderness ratios of all members must be checked depending on the suggestions in the specification Therefore, the future research should properly consider these effects directly in the formulation of beam-column element The effects of panel zone and axial shortening due to member curvature bending (bowing effects) are ignored in this study The panel zone is the position which connects column to column of two different stories and column to beam In practical analysis and design, the panel zone is usually assumed to be perfectly rigid for simplify However, the flexibility of panel zone is finite The future work should include these effects 200 In this study, the proposed beam-to-column element can be used to modeling complicated space connections such as truss joints, bridge joints, concrete joints, etc However, it only is used for simulating stiffness of nonlinear rotational springs Since the application of the proposed program is limited to the structural members made from steel material, the structural members made from concrete material is not considered herein Thus, the high priority should be given to the development of material library as well as element library of the proposed program so that it can be applied to a more wide range of structures So the steel-concrete composite beamcolumn element can be developed in the future study In recent decades, the structural members with concrete-filled steel tube (CFT) section have become popular due to their excellent performances such as high ductility and improved strength without increasing the member size Several computational models have been developed to represent the behavior of CFT member Among them, a flexibility-based fiber model is the most promising one for the second-order inelastic analysis of CFT member The proposed plastic-fiber beam-column element can be upgraded for the CFT member In the nonlinear time-history analysis, it has been acknowledged that Rayleigh damping lack physical consistency, hence, it must be carefully used to avoid encountering unintended consequences as the appearance of artificial damping Since the stiffness matrix of structures is change step-by-step, which type of structural stiffness matrix should be used to calculate Rayleigh damping for analyzing nonlinear structures? 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Hermite - - Newmark NewtonRaphson ABAQUS - ( -RPH) (-PF) PAAP , 210 , , , , - Newton-Raphson Newton-Raphson Hilber-Hughes-Taylor NewtonRaphson Newmark : (1) (NSAP) C++ ; (2) (PAAP) FORTRAN 77 ABAQUS SAP2000 211 , (PAAP) 212 ... six-story space steel frame frame 192 xiii ABSTRACT Advanced Analysis for Three-Dimensional Semi-Rigid Steel Frames subjected to Static and Dynamic Loadings. .. Environmental Engineering Advanced Analysis for Three-Dimensional Semi-Rigid Steel Frames subjected to Static and Dynamic Loadings Nguyen Phu Cuong A Dissertation Submitted to the Department of Civil... https://www.grin.com/document/304587 Phu Cuong Nguyen Advanced Analysis for Three-Dimensional Semi-Rigid Steel Frames subjected to Static and Dynamic Loadings GRIN Verlag GRIN - Your knowledge has