An efficient nonlinear analysis of 2D frames using a Newton-like technique

Mansouri, Iman; Saffari, Hamed

doi:10.1016/j.acme.2012.07.003

Cited by 7 publications

(4 citation statements)

References 13 publications

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“…are functions. In addition, if the factor p is considered as insignificant varying from the range 0 to 1, the solution for Equations (13) and (17) could be written as…”

Section: Improved Perturbation Methods For the Nonlinear Problemmentioning

confidence: 99%

“…Moreover, fast algorithms were presented to reduce the computational analysis of various structures [1,[16][17][18][19][20][21][22]. An iterative perturbation method to solve a nonlinear system is proposed by Golbabi and Javidi [23]; however, the proposed method was not able to effectively reduce the convergence time despite reducing the number of iterations.…”

Section: Introductionmentioning

confidence: 99%

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Improved Homotopy Perturbation Method for Geometrically Nonlinear Analysis of Space Trusses

et al. 2020

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The objective of this study is to explore a noble application of the improved homotopy perturbation procedure bases in structural engineering by applying it to the geometrically nonlinear analysis of the space trusses. The improved perturbation algorithm is proposed to refine the classical methods in numerical computing techniques such as the Newton–Raphson method. A linear of sub-problems is generated by transferring the nonlinear problem with perturbation quantities and then approximated by summation of the solutions related to several sub-problems. In this study, a nonlinear load control procedure is generated and implemented for structures. Several numerical examples of known trusses are given to show the applicability of the proposed perturbation procedure without considering the passing limit points. The results reveal that perturbation modeling methodology for investigating the structural performance of various applications has high accuracy and low computational cost of convergence analysis, compared with the Newton–Raphson method.

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“…are functions. In addition, if the factor p is considered as insignificant varying from the range 0 to 1, the solution for Equations (13) and (17) could be written as…”

Section: Improved Perturbation Methods For the Nonlinear Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Improved Homotopy Perturbation Method for Geometrically Nonlinear Analysis of Space Trusses

et al. 2020

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“…In the literature, planar frames are more common (Mansouri and Saffari, 2012). Sotiropoulos (1982) deals with the vibration problems of planar frames using the exact stiffness matrix in a semi-analytical approach.…”

Section: Introductionmentioning

confidence: 99%

Free vibrations of spatial frame structures: Analytical modelling and solution

Genel

Tüfekçi

2022

Journal of Vibration and Control

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This study analytically handles the three-dimensional free vibrations of spatial frames using the initial values method, considering the axial and shear deformations alongside rotary inertias, namely, torsional, in-plane bending and out-of-plane bending. To handle the spatial geometry, the direction cosine matrices are used. Validation is performed with three cases in total, one case available in the literature alongside two numerical examples that are solved analytically and compared to the finite element models. Excellent agreements are found between the analytical results and the results in the literature, as well as those obtained from the finite element models.

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“…Moreover, plastic analysis and design of frames have some limitations [5,6]. Recently, some researchers have analyzed the behavior of the frames under different conditions [7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Parametric analysis of collapse load factor of planar frames

Maleki

Kashyzadeh

2019

SN Appl. Sci.

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The plastic analysis and determining the collapse load factor (CLF) of frames have received much attention in all kinematical methods applied for designing these frames. CLF in frames depends on many effective parameters such as length of the bay, the height of story, loads, and plastic moments. As the number of these parameters increases, the analysis becomes more complex and time-consuming. In this regard, artificial neural networks (ANNs) have been found many applications in prediction and optimization of ill-defined problems. In the present paper, two planar frames were considered and analyzed as examples for modeling via ANN. In order to develop the ANNs, results of thirty samples were gathered from every two examples. Parameters including the length of the bay, the height of story, loads, and plastic moments were regarded as inputs and the CLF was considered as the output of the networks. After developing the networks, the model function was generated and the effects of the input parameters were investigated on the CLF of frames. The results showed tuning networks are finely and adjusting their parameters would lead to very good and acceptable results for the design of frames.

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An efficient nonlinear analysis of 2D frames using a Newton-like technique

Cited by 7 publications

References 13 publications

Improved Homotopy Perturbation Method for Geometrically Nonlinear Analysis of Space Trusses

Improved Homotopy Perturbation Method for Geometrically Nonlinear Analysis of Space Trusses

Free vibrations of spatial frame structures: Analytical modelling and solution

Parametric analysis of collapse load factor of planar frames

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