Curved-quartic-function elements with end-springs in series for direct analysis of steel frames

다국어 초록 (Multilingual Abstract)

A robust element is essential for successful design of steel frames with Direct analysis (DA) method. To this end, an innovative and efficient curved-quartic-function (CQF) beam-column element using the fourth-order polynomial shape function with end-springs in series is proposed for practical applications of DA. The member initial imperfection is explicitly integrated into the element formulation, and, therefore, the <i>P</i>-<i>δ</i> effect can be directly captured in the analysis. The series of zero-length springs are placed at the element ends to model the effects of semi-rigid joints and material yielding. One-element-per-member model is adopted for design bringing considerable savings in computer expense. The incremental secant stiffness method allowing for large deflections is used to describe the kinematic motion. Finally, several problems are studied in this paper for examining and validating the accuracy of the present formulations. The proposed element is believed to make DA simpler to use than existing elements, which is essential for its successful and widespread adoption by engineers.

참고문헌 (Reference)

1 Zhang, H., "System reliabilities in steel structural frame design by inelastic analysis" 81 : 341-348, 2014

2 Lui, E. M., "Steel frame analysis with flexible joints" 8 : 161-202, 1987

3 Chen, W. F., "Semirigid steel beam-to-column connections: Data base and modeling" 115 (115): 105-119, 1989

4 Zhou, Z. H., "Self-equilibrating element for second-order analysis of semirigid jointed frames" 121 (121): 896-902, 1995

5 Mohammad Bayat, "Seismic performance of mid-rise steel frames with semi-rigid connections having different moment capacity" 국제구조공학회 25 (25): 1-17, 2017

6 Liew, J. Y. R., "Second-order refined plastic-hinge analysis for frame design. Part II" 119 (119): 3217-3236, 1993

7 Liew, J. Y. R., "Second-order refined plastic-hinge analysis for frame design. Part I" 119 (119): 3196-3216, 1993

8 King, W. S., "Second-order inelastic analysis methods for steel-frame design" 118 (118): 408-428, 1992

9 Chiorean, C., "Second-order flexibility-based model for nonlinear inelastic analysis of 3D semi-rigid steel frameworks" 136 : 547-579, 2017

10 Chan, S. L., "Second-order elastic analysis of frames using single imperfect element per member" 121 (121): 939-945, 1995

11 Zhang, X., "Second-order effects in locally and/or distortionally buckled frames and design based on beam element analysis" 122 : 57-69, 2016

12 Thai, H. T., "Second-order distributed plasticity analysis of steel frames with semi-rigid connections" 94 : 120-128, 2015

13 Gu, J. X., "Second-order analysis and design of steel structures allowing for member and frame imperfections" 62 (62): 601-615, 2005

14 Kim, S. E., "Practical advanced analysis for semi-rigid space frames" 38 (38): 9111-9131, 2001

15 Chan, S. L., "Pointwise equilibrating polynomial element for nonlinear analysis of frames" 120 : 1703-, 1994

16 White, D. W., "Plastic-hinge methods for advanced analysis of steel frames" 24 (24): 121-152, 1993

17 Musa Artar, "Optimum design of steel frames with semi-rigid connections and composite beams" 국제구조공학회 55 (55): 299-313, 2015

18 Cai, J., "Nonlinear stability analysis of a radially retractable suspen-dome" 13 (13): 117-131, 2017

19 Nguyen, P. C., "Nonlinear elastic dynamic analysis of space steel frames with semi-rigid connections" 84 : 72-81, 2013

20 C.K. IU, "Nonlinear analysis of the RC structure by higher-order element with the refined plastic hinge" 사단법인 한국계산역학회 17 (17): 579-596, 2016

21 Chan, S. L., "Large deflection kinematic formulations for three-dimensional framed structures" 95 (95): 17-36, 1992

22 Torbaghan, M. K., "Investigating the behavior of specially pre-fabricated steel moment connection under cyclic loading" 14 (14): 412-423, 2018

23 Yau, C. Y., "Inelastic and Stability Analysis of Flexibly Connected Steel Frames by Springs-in-Series Model" 120 (120): 2803-2819, 1994

24 Huu-Tai Thai, "Improved refined plastic hinge analysis accounting for local buckling and lateral-torsional buckling" 국제구조공학회 24 (24): 339-349, 2017

25 Liew, J. Y. R., "Improved nonlinear plastic hinge analysis of space frame structures" 22 (22): 1324-1338, 2000

26 Iu, C. K., "Higher-order non-linear analysis of steel structures, Part II: Refined plastic hinge formulation" 8 (8): 183-198, 2012

27 Iu, C. K., "Higher-order non-linear analysis of steel structures, Part I: Elastic second-order formulation" 8 (8): 168-182, 2012

28 Iu, C. K., "Generalised element load method with whole domain accuracy for reliable structural design" 12 (12): 466-486, 2016

29 Yang, L., "Flexural buckling design of fabricated austenitic and duplex stainless steel columns" 14 (14): 184-205, 2018

30 Gao, L., "Experimental study on stability of high strength steel long columns with box-sections" 13 (13): 399-411, 2017

31 Abdalla, K. M., "Expanded database of semi-rigid steel connections" 56 (56): 553-564, 1995

32 "Eurocode 3, Eurocode 3: Design of Steel Structures: Part 1-1: General Rules and Rules for Buildings"

33 Mojtaba Farahi, "Employing a fiber-based finite-length plastic hinge model for representing the cyclic and seismic behaviour of hollow steel columns" 국제구조공학회 23 (23): 501-516, 2017

34 Djouaher Fatma Zohra, "Dynamic analysis of steel frames with semi-rigid connections" 국제구조공학회 65 (65): 327-334, 2018

35 Saritas, A., "Distributed inelasticity planar frame element with localized semi-rigid connections for nonlinear analysis of steel structures" 96-97 : 216-231, 2015

36 Liu, S. W., "Direct analysis by an arbitrarily-located-plastic-hinge element — Part 2: Spatial analysis" 103 : 316-326, 2014

37 Liu, S. W., "Direct analysis by an arbitrarily-located-plastic-hinge element — Part 1: Planar analysis" 103 : 303-315, 2014

38 Ziemian, R. D., "Design by advanced analysis–3D benchmark problems: Members subjected to major‐and minor‐axis flexure" 11 (11): 24-29, 2018

39 Donald W. White, "Comprehensive Stability Design of Planar Steel Members and Framing Systems via Inelastic Buckling Analysis" 한국강구조학회 16 (16): 1029-1042, 2016

40 CoPSC, "Code of practice for the structural use of steel 2011; Buildings Department"

41 Alhasawi, A., "Co-rotational planar beam element with generalized elasto-plastic hinges" 151 : 188-205, 2017

42 Vogel, U., "Calibrating frames" 10 : 295-301, 1985

43 Kishi, N., "Behavior of tall buildings with mixed use of rigid and semi-rigid connections" 61 (61): 1193-1206, 1996

44 M. Lezgy-Nazargah, "Analysis of composite steel-concrete beams using a refined high-order beam theory" 국제구조공학회 18 (18): 1353-1368, 2015

45 Hoang, V. L., "An overview of the plastic-hinge analysis of 3D steel frames" 2 (2): 4-, 2015

46 Phu-Cuong Nguyen, "Advanced analysis for planar steel frames with semi-rigid connections using plastic-zone methodAdvanced analysis for planar steel frames with semi-rigid connections using plastic-zone method" 국제구조공학회 21 (21): 1121-1144, 2016

47 "ANSI/AISC360-16, Specification for Structural Steel Buildings"

48 Chiorean, C., "A computer method for nonlinear inelastic analysis of 3D semi-rigid steel frameworks" 31 (31): 3016-3033, 2009