Static, free vibration and buckling analyses of stiffened plates by CS-FEM-DSG3 using triangular elements

Nguyen-Thoi, T.; Bui-Xuan, T.; Phung‐Van, P.; Nguyen‐Xuan, H.; Ngo-Thanh, P.

doi:10.1016/j.compstruc.2013.04.027

Cited by 82 publications

(42 citation statements)

References 42 publications

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“…Several theoretical aspects of the S-FEM models have been provided in [54,55]. The S-FEM models have also been further investigated and applied to various problems such as plates and shells [56][57][58][59][60][61][62][63][64][65][66][67][68], piezoelectricity [69,70], fracture mechanics [71], visco-elastoplasticity [72][73][74], limit and shakedown analysis for solids [75][76][77], and some other applications [78,79].…”

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confidence: 99%

RETRACTED ARTICLE: A limit analysis of Mindlin plates using the cell-based smoothed triangular element CS-MIN3 and second-order cone programming (SOCP)

Nguyen-Thoi

Phung‐Van

Canh

2014

Asia Pac. J. Comput. Engin.

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Background: The paper presents a numerical procedure for kinematic limit analysis of Mindlin plate governed by von Mises criterion. Methods: The cell-based smoothed three-node Mindlin plate element (CS-MIN3) is combined with a second-order cone optimization programming (SOCP) to determine the upper bound limit load of the Mindlin plates. In the CS-MIN3, each triangular element will be divided into three sub-triangles, and in each sub-triangle, the gradient matrices of MIN3 is used to compute the strain rates. Then the gradient smoothing technique on whole the triangular element is used to smooth the strain rates on these three sub-triangles. The limit analysis problem of Mindlin plates is formulated by minimizing the dissipation power subjected to a set of constraints of boundary conditions and unitary external work. For Mindlin plates, the dissipation power is computed on both the middle plane and thickness of the plate. This minimization problem then can be transformed into a form suitable for the optimum solution using the SOCP. Results and Conclusions: The numerical results of some benchmark problems show that the proposal procedure can provide the reliable upper bound collapse multipliers for both thick and thin plates.

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confidence: 99%

RETRACTED ARTICLE: A limit analysis of Mindlin plates using the cell-based smoothed triangular element CS-MIN3 and second-order cone programming (SOCP)

Nguyen-Thoi

Phung‐Van

Canh

2014

Asia Pac. J. Comput. Engin.

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“…Note that due to its superior and simple properties, the original CS-DSG3 has been developed for various analyses such as: flat shells [36], stiffened plates [37], functionally graded plates [38], composite plates [39] using layerwise theory, piezoelectricity composite plates [40], cracked plates [41] and plates resting on the viscoelastic foundation subjected to moving loads [42,43] etc.…”

Section: A Combination Of the Cs-dsg3 With The Allman's Plane Stress mentioning

confidence: 99%

Static and frequency optimization of folded laminated composite plates using an adjusted Differential Evolution algorithm and a smoothed triangular plate element

Le-Anh

Nguyen-Thoi

Ho-Huu

et al. 2015

Composite Structures

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“…In this proposition, the free and forced vibration analyses of uniform and multipoints supported laminated rectangular plate resting on the Winkler and Pasternak foundations are studied in this paper. As we all know, there are many structural forms of plate in engineering applications, like stiffened plates [31][32][33][34], cracked rectangular plates [35][36][37][38], corroded plates [39][40][41][42][43], and so on. As the most common basic model, the rectangular plate structure is widely studied.…”

Section: Introductionmentioning

confidence: 99%

Free and Forced Vibration of the Moderately Thick Laminated Composite Rectangular Plate on Various Elastic Winkler and Pasternak Foundations

Shi

Zhang

Wang

et al. 2017

Shock and Vibration

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An improved Fourier series method (IFSM) is applied to study the free and forced vibration characteristics of the moderately thick laminated composite rectangular plates on the elastic Winkler or Pasternak foundations which have elastic uniform supports and multipoints supports. The formulation is based on the first-order shear deformation theory (FSDT) and combined with artificial virtual spring technology and the plate-foundation interaction by establishing the two-parameter foundation model. Under the framework of this paper, the displacement and rotation functions are expressed as a double Fourier cosine series and two supplementary functions which have no relations to boundary conditions. The Rayleigh-Ritz technique is applied to solve all the series expansion coefficients. The accuracy of the results obtained by the present method is validated by being compared with the results of literatures and Finite Element Method (FEM). In this paper, some results are obtained by analyzing the varying parameters, such as different boundary conditions, the number of layers and points, the spring stiffness parameters, and foundation parameters, which can provide a benchmark for the future research.

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Static, free vibration and buckling analyses of stiffened plates by CS-FEM-DSG3 using triangular elements

Cited by 82 publications

References 42 publications

RETRACTED ARTICLE: A limit analysis of Mindlin plates using the cell-based smoothed triangular element CS-MIN3 and second-order cone programming (SOCP)

RETRACTED ARTICLE: A limit analysis of Mindlin plates using the cell-based smoothed triangular element CS-MIN3 and second-order cone programming (SOCP)

Static and frequency optimization of folded laminated composite plates using an adjusted Differential Evolution algorithm and a smoothed triangular plate element

Free and Forced Vibration of the Moderately Thick Laminated Composite Rectangular Plate on Various Elastic Winkler and Pasternak Foundations

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