Second‐Order Refined Plastic‐Hinge Analysis for Frame Design. Part I

This paper is concerned with an incremental iterative force recovery method in the second-order plastic hinge analysis of steel frames mainly modelled by a single element per member. Second-order beam-column elements are preferred in the direct analysis of steel frames due to their high accuracy and efficiency. However, formulations of these elements are complicated, and therefore they may have a problem of getting element force recovery in inelastic analysis. To overcome this difficulty, a novel incremental iterative force recovery method for second-order beam-column elements is proposed to perform plastic hinge analysis. The proposed method is derived more strictly and has good performance. Also, the section assemblage approach and the refined plastic hinge method are adopted in this study to consider the gradual degradation of section stiffness in the plastic hinge analysis. To verify the accuracy, efficiency and robustness of the proposed method, several benchmark examples are analyzed by the proposed method and compared with solutions reported by early researchers.

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Refined second-order plastic-hinge dynamic analysis for planar steel frames

Journal of Physics Conference Series ◽

10.1088/1742-6596/1425/1/012047 ◽

2019 ◽

Vol 1425 ◽

pp. 012047

Author(s):

Văn Tú Nguyễn ◽

Thanh Bìrnh Phạm ◽

Xuân Bàng Nguyễn

Keyword(s):

Dynamic Analysis ◽

Plastic Hinge ◽

Steel Frames ◽

Second Order

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Notional‐Load Plastic‐Hinge Method for Frame Design

Journal of Structural Engineering ◽

10.1061/(asce)0733-9445(1994)120:5(1434) ◽

1994 ◽

Vol 120 (5) ◽

pp. 1434-1454 ◽

Cited By ~ 34

Author(s):

J. Y. Richard Liew ◽

D. W. White ◽

W. F. Chen

Keyword(s):

Plastic Hinge ◽

Frame Design ◽

Plastic Hinge Method

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Closure to “ Second‐Order Elastic Analysis for Frame Design ” by Y. Goto and Wai‐Fah Chen (July 1987, Vol. 113, No. 7)

Journal of Structural Engineering ◽

10.1061/(asce)0733-9445(1989)115:2(503) ◽

1989 ◽

Vol 115 (2) ◽

pp. 503-506

Author(s):

Y. Goto ◽

Wai‐Fah Chen

Keyword(s):

Second Order ◽

Elastic Analysis ◽

Frame Design

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05.05: A flexibility-based element for second-order inelastic analysis using plastic hinge method

ce/papers ◽

10.1002/cepa.146 ◽

2017 ◽

Vol 1 (2-3) ◽

pp. 1056-1065 ◽

Cited By ~ 1

Author(s):

Zuo-Lei Du ◽

Yao-Peng Liu ◽

Siu-Lai Chan ◽

Wei-Qi Tan

Keyword(s):

Plastic Hinge ◽

Second Order ◽

Inelastic Analysis ◽

Plastic Hinge Method

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ADVANCED ANALYSIS OF STEEL–CONCRETE COMPOSITE BEAM-COLUMNS BY REFINED PLASTIC HINGE METHOD

International Journal of Structural Stability and Dynamics ◽

10.1142/s0219455412500460 ◽

2012 ◽

Vol 12 (06) ◽

pp. 1250046 ◽

Cited By ~ 8

Author(s):

M. FONG ◽

S. L. CHAN

Keyword(s):

Cross Section ◽

Cross Sections ◽

Composite Beam ◽

Plastic Hinge ◽

Practical Method ◽

Second Order ◽

Beam Columns ◽

Inelastic Analysis ◽

Code Performance ◽

Advanced Analysis

Based on the second-order inelastic analysis, this paper presents a practical method of design for steel–concrete composite beam-columns that satisfies code performance requirements. The concept of second-order inelastic analysis for structures is to consider both geometric and material nonlinearities and their imperfections so that the real structural behavior can be captured and the assumption for effective lengths is not required. The refined plastic hinge approach proposed herein traces the gradual material yielding and simulates full plasticity of a cross-section. The definitions of the initial and full yield surfaces (which are used to initiate the yielding and to indicate the full plastic stage) for steel–concrete composite cross-sections, based on the cross-section analysis, are presented. The proposed method is verified in examples of isolated composite columns and frames.

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ADVANCED ANALYSIS OF STEEL FRAMES WITH EFFECTS OF JOINT DEFORMABILITY AND PARTIAL STRENGTH ACCOUNTED FOR

Journal of Civil Engineering and Management ◽

10.3846/13923730.2004.9636307 ◽

2004 ◽

Vol 10 (3) ◽

pp. 199-208

Author(s):

Marian A. Gizejowski ◽

Czeslaw J. Branicki ◽

Anna M. Barszcz ◽

Pawel Krol

Keyword(s):

Plastic Hinge ◽

Joint Stiffness ◽

Initial Stiffness ◽

Frame Design ◽

Case Study Analysis ◽

In Series ◽

Advanced Analysis ◽

Section Type ◽

The Moment ◽

Welding Processes

The paper summarises the current progress in methods of advanced analysis for design of frames with semirigid joints. The methods presented in the paper belong to general second‐order refined plastic‐hinge methods that allow for the combined effects of joint stiffness degradation and distributed plasticity along the member length as well as across the member sections. The advanced analysis for steel frame design, proposed by the authors, is based on the spring‐in‐series model. The effect of joint semi‐rigidity and partial strength is taken care of by specifying certain values of the initial stiffness, ultimate moment and the shape factor of the moment‐rotation characteristic for the spring representing the joint. The effect of imperfections affecting the performance of imperfect structural members in compression is modelled by the application of a simplified tangent modulus concept combined with the reduction of the initial value of the elasticity modulus. The effect of residual stresses is taken care of by specifying certain values of the shape parameter for the moment‐rotation characteristic of the spring representing the gradual yielding of the member. It is dependent upon the cross‐section type and fabrication method (ie upon the residual stress pattern resulting from rolling or welding processes). A case study analysis is presented. Concluding remarks referring to the application of advanced analysis in design, pertaining to the study case considered, are drawn.

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