Static and free vibration analyses of stiffened folded plates using a cell-based smoothed discrete shear gap method (CS-FEM-DSG3)

Nguyen-Minh, N.; Nguyen-Thoi, T.; Bui-Xuan, T.; Vo-Duy, T.

doi:10.1016/j.amc.2015.05.042

Cited by 27 publications

(11 citation statements)

References 56 publications

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“…Substituting equations (1)∼(8), (10), (13), and (17) into equation (16), linear equations in the matrix form are available by employing the Rayleigh-Ritz method:…”

Section: Steady-state Vibration Solutionmentioning

confidence: 99%

“…In Ref. [13], the CS-FEM-DSG3 method was also extended to analyze the static and free vibration of stiffened folded plates, where three-node triangular element was adopted. Four hierarchical models were developed by Bhaskar and Pydah [14] to obtain the natural frequencies of the isotropic and orthotropic stiffened plate with simply supported boundary condition.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dynamic Analysis of Rectangular Plate Stiffened by Any Number of Beams with Different Lengths and Orientations

Cao¹,

Zhong

Shao

et al. 2019

Shock and Vibration

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The present work is concerned with dynamic characteristics of beam-stiffened rectangular plate by an improved Fourier series method (IFSM), including mobility characteristics, structural intensity, and transient response. The artificial coupling spring technology is introduced to establish the clamped or elastic connections at the interface between the plate and beams. According to IFSM, the displacement field of the plate and the stiffening beams are expressed as a combination of the Fourier cosine series and its auxiliary functions. Then, the Rayleigh–Ritz method is applied to solve the unknown Fourier coefficients, which determines the dynamic characteristics of the coupled structure. The Newmark method is adopted to obtain the transient response of the coupled structure, where the Rayleigh damping is taken into consideration. The rapid convergence of the current method is shown, and good agreement between the predicted results and FEM results is also revealed. On this basis, the effects of the factors related to the stiffening beam (including the length, orientations, and arrangement spacing of beams) and elastic parameters, as well as damping coefficients on the dynamic characteristics of the stiffened plate are investigated.

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“…Substituting equations (1)∼(8), (10), (13), and (17) into equation (16), linear equations in the matrix form are available by employing the Rayleigh-Ritz method:…”

Section: Steady-state Vibration Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Rectangular Plate Stiffened by Any Number of Beams with Different Lengths and Orientations

Cao¹,

Zhong

Shao

et al. 2019

Shock and Vibration

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show abstract

“…For more details of the formulation of the CS-DSG3, the interested readers are encouraged to refer to the literature. 51–60…”

Section: Basic Formulationmentioning

confidence: 99%

Frequency optimization of laminated functionally graded carbon nanotube reinforced composite quadrilateral plates using smoothed FEM and evolution algorithm

Vo-Duy

Truong-Thi

Ho-Huu

et al. 2017

Journal of Composite Materials

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The paper presents an efficient numerical optimization approach to deal with the optimization problem for maximizing the fundamental frequency of laminated functionally graded carbon nanotube-reinforced composite quadrilateral plates. The proposed approach is a combination of the cell-based smoothed discrete shear gap method (CS-DSG3) for analyzing the first natural frequency of the functionally graded carbon nanotube reinforced composite plates and a global optimization algorithm, namely adaptive elitist differential evolution algorithm (aeDE), for solving the optimization problem. The design variables are the carbon nanotube orientation in the layers and constrained in the range of integer numbers belonging to [−900 900]. Several numerical examples are presented to investigate optimum design of quadrilateral laminated functionally graded carbon nanotube reinforced composite plates with various parameters such as carbon nanotube distribution, carbon nanotube volume fraction, boundary condition and number of layers.

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“…Some other numerical methods used for analyses of plate structures include meshfree methods [9][10][11] and boundary element method [12,13]. Recent works also include triangular elements merged with advanced discretization techniques [14][15][16][17].…”

Section: Introductionmentioning

confidence: 98%

A computationally efficient numerical model for a dynamic analysis of thin plates based on the combined finite–discrete element method

Uzelac

Smoljanović

Peroš

2015

Engineering Structures

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Static and free vibration analyses of stiffened folded plates using a cell-based smoothed discrete shear gap method (CS-FEM-DSG3)

Cited by 27 publications

References 56 publications

Dynamic Analysis of Rectangular Plate Stiffened by Any Number of Beams with Different Lengths and Orientations

Dynamic Analysis of Rectangular Plate Stiffened by Any Number of Beams with Different Lengths and Orientations

Frequency optimization of laminated functionally graded carbon nanotube reinforced composite quadrilateral plates using smoothed FEM and evolution algorithm

A computationally efficient numerical model for a dynamic analysis of thin plates based on the combined finite–discrete element method

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