Numerical Modeling of Compound Element for Static Inelastic Analysis of Steel Frames with Semi-rigid Connections

Bandyopadhyay, Milan; Banik, Atul Krishna; Datta, T. K.

doi:10.1007/978-81-322-2190-6_44

Cited by 5 publications

(5 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…where: Coupling the moments in A and B according to Equations ( 1) and ( 5) and Equations ( 6) and (7), Equations ( 10) and (11) are obtained:…”

Section: Obtaintion Of the Vector Of Internal Forces From Its Analyti...mentioning

confidence: 99%

“…The resolution of the case using an incremental method is only one element of the heuristic: the fundamental difficulty is in modelling the union when the stiffness matrix is not constant throughout the process. In the context of the idea of a tangent stiffness matrix, or simply a tangent matrix, in a non-linear finite element method (FEM), some previous works are still relevant [ 6 , 7 , 8 ].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear Analysis of Rotational Springs to Model Semi-Rigid Frames

Antonio

Mancera

Hernández-Torres

et al. 2022

Entropy

View full text Add to dashboard Cite

This paper explains the mathematical foundations of a method for modelling semi-rigid unions. The unions are modelled using rotational rather than linear springs. A nonlinear second-order analysis is required, which includes both the effects of the flexibility of the connections as well as the geometrical nonlinearity of the elements. The first task in the implementation of a 2D Beam element with semi-rigid unions in a nonlinear finite element method (FEM) is to define the vector of internal forces and the tangent stiffness matrix. After defining the formula for this vector and matrix in the context of a semi-rigid steel frame, an iterative adjustment of the springs is proposed. This setting allows a moment–rotation relationship for some given load parameters, dimensions, and unions. Modelling semi-rigid connections is performed using Frye and Morris’ polynomial model. The polynomial model has been used for type-4 semi-rigid joints (end plates without column stiffeners), which are typically semi-rigid with moderate structural complexity and intermediate stiffness characteristics. For each step in a non-linear analysis required to adjust the matrix of tangent stiffness, an additional adjustment of the springs with their own iterative process subsumed in the overall process is required. Loops are used in the proposed computational technique. Other types of connections, dimensions, and other parameters can be used with this method. Several examples are shown in a correlated analysis to demonstrate the efficacy of the design process for semi-rigid joints, and this is the work’s application content. It is demonstrated that using the mathematical method presented in this paper, semi-rigid connections may be implemented in the designs while the stiffness of the connection is verified.

show abstract

“…where: Coupling the moments in A and B according to Equations ( 1) and ( 5) and Equations ( 6) and (7), Equations ( 10) and (11) are obtained:…”

Section: Obtaintion Of the Vector Of Internal Forces From Its Analyti...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear Analysis of Rotational Springs to Model Semi-Rigid Frames

Antonio

Mancera

Hernández-Torres

et al. 2022

Entropy

View full text Add to dashboard Cite

show abstract

“…Inelastic analysis may also be carried out by replacing the springs-in-series at each beam ends with a compound element [30][31], which takes care of combined effect of semi-rigid connection and material nonlinearity.…”

Section: Numerical Alternativesmentioning

confidence: 99%

Numerical modeling and nonlinear analysis of semi-rigid jointed steel frames

Bandyopadhyay¹,

Banik

2022

ASPS Conf. Proc.

View full text Add to dashboard Cite

This paper investigates the effect of semi-rigid connection, geometric nonlinearity and material nonlinearity in steel frame analysis. To study the independent and combined effects of different nonlinearities, elastic and inelastic analyses are carried out using general purpose finite element software SAP2000. Connections are modeled as rotational springs and frame as one dimensional beam element. Verification and application of the simplified numerical model developed in the present study is demonstrated by considering different examples and comparing the results of present study with those available in the published literature. Numerical alternatives, key features about modeling and necessary input parameters are discussed in detail. Rotational springs are characterized by linear, bilinear, multi-linear or nonlinear moment-rotation relationships of the connection. Results in terms of beam moment and nodal displacement are presented for both elastic and inelastic analyses. With the increase in connection flexibility, beam mid-span moments and displacements increase, but beam-end moments decrease. It is observed that the influence of connection nonlinearity dominates over material and geometric nonlinearities.

show abstract

“…Extensive studies are reported in the published literature for the analysis and design of semi-rigid jointed steel frames (Bandyopadhyay et al, 2014; Diaz et al, 2011; Ihaddoudene et al, 2009; Jones et al, 1983). Hayalioglu and Degertekin (2005) performed genetic algorithm–based optimum design of a series of two-dimensional rigid and semi-rigid jointed steel frames as per American Institute of Steel Construction (AISC, 1995).…”

Section: Development Of Numerical Modelmentioning

confidence: 99%

Improvement of progressive collapse resistance potential of semi-rigid jointed steel frames through bracings

Bandyopadhyay

Banik

2016

International Journal of Protective Structures

View full text Add to dashboard Cite

Progressive collapse studies of both unbraced and braced semi-rigid jointed steel frames have been carried out to evaluate the contribution of bracings in improving progressive collapse resistance potential. Numerical models of 10-story frames with different types of semi-rigid connections have been developed using SAP2000. Progressive collapse potential of semi-rigid frames is first investigated without bracings. Bracings are then included in a systematic manner, and response of the braced frame is compared with that of unbraced frame to evaluate the contribution of bracings. Two different arrangements of bracings, that is, bay-wise and floor-wise arrangements, are considered to find out a preferred arrangement of bracings. Parametric studies include eight column removal conditions at center and corner locations of different floors. Development of catenary action has also been considered as it gives additional resistance, especially to braced frame. Apart from nonlinear static analysis, effects of bracings are evaluated also through nonlinear dynamic analysis and the responses of the frames in nonlinear dynamic analysis are compared with those of nonlinear static analysis. From the study, it is found that provision of bracings significantly improves the progressive collapse resistance potential of the semi-rigid frames under different column removal conditions. Floor-wise arrangement of bracings is much effective as compared to bay-wise arrangement.

show abstract

Numerical Modeling of Compound Element for Static Inelastic Analysis of Steel Frames with Semi-rigid Connections

Cited by 5 publications

References 17 publications

Nonlinear Analysis of Rotational Springs to Model Semi-Rigid Frames

Nonlinear Analysis of Rotational Springs to Model Semi-Rigid Frames

Numerical modeling and nonlinear analysis of semi-rigid jointed steel frames

Improvement of progressive collapse resistance potential of semi-rigid jointed steel frames through bracings

Contact Info

Product

Resources

About