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

Vo-Duy, T.; Truong-Thi, T.; Ho-Huu, V.; Nguyen-Thoi, T.

doi:10.1177/0021998317737831

Cited by 14 publications

(4 citation statements)

References 71 publications

(128 reference statements)

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“…In these fields, various optimization studies have been carried out to maximize the performance of these structures while reducing cost [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Vo-Duy et al [24,25] presented the weight minimization and natural frequency maximization problems of laminated plates using an adaptive elitist differential evolution algorithm treating the ply thicknesses, fiber orientations, and the fiber volume fractions as the variables of optimization. As the constraint of optimization, the first fundamental frequency of the laminated plate was kept above a certain lower bound in every iteration.…”

Section: Introductionmentioning

confidence: 99%

Metaheuristic Optimization of Laminated Composite Plates with Cut-Outs

et al. 2021

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The stacking sequence optimization of laminated composite plates while maximizing the structural performance or minimizing the weight is a subject investigated extensively in the literature. Meanwhile, research on the optimization of laminates with cut-outs has been relatively limited. Cut-outs being an indispensable feature of structural components, this paper concentrates on the stacking sequence optimization of composite laminates in the presence of circular cut-outs. The buckling load of a laminate is used as a metric to quantify the structural performance. Here the laminates are modeled as carbon fiber-reinforced composites using the finite element analysis software, ABAQUS. For the optimization, the widely used harmony search algorithm is applied. In terms of design variables, ply thickness, and fiber orientation angles of the plies are used as continuously changing variables. In addition to the stacking sequence, another geometric variable to consider is the aspect ratio (ratio of the length of the longer sides to the length of the shorter sides of the plate) of the rectangular laminates. The optimization is carried out for three different aspect ratios. It is shown that, by using dispersed stacking sequences instead of the commonly used 0°/±45°/±90° fiber angle stacks, significantly higher buckling loads can be achieved. Furthermore, changing the cut-out geometry is found to have a significant effect on the structural performance.

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Section: Introductionmentioning

confidence: 99%

Metaheuristic Optimization of Laminated Composite Plates with Cut-Outs

et al. 2021

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“…An edge-based smoothed FEM was proposed for static eigenvalue assessment of 2D piezoelectric structures [54]. An effective numerical method was presented to optimize and maximize the basic frequency of functionally graded carbon-nanotube-strengthened four-sided sheets [55]. On the commercial software ABAQUS, Bhowmick and Liu established a phase-field model based on cellbased smoothed FEM (CSFEM) to address the brittle fracturing in solids [56].…”

Section: Introductionmentioning

confidence: 99%

A Coupling Electromechanical Cell-Based Smoothed Finite Element Method Based on Micromechanics for Dynamic Characteristics of Piezoelectric Composite Materials

Zheng

Zhang

Wang

2019

Advances in Materials Science and Engineering

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Coupling electromechanical cell-based smoothed finite element method (CSFEM) with the asymptotic homogenization method (AHM) is presented to overcome the overstiffness of FEM. This method could accurately simulate the dynamic responses and electromechanical coupling effects of piezoelectric composite material (PCM) structures. Firstly, the efficient performances for active compounds of round cross-section fibers are calculated based on AHM. Secondly, in the CSFEM, electromechanical multi-physic-field FEM is coupled with gradient smoothing technique. CSFEM returns the nearly exact stiffness of continuum structures, which auto discretes the elements in complex areas more readily and thus remarkably reduces the numerical errors. Static and dynamic characteristics of four PCM structures are investigated using CSFEM with AHM. Results are compared with analytical solution and those of FEM, which proves that CSFEM with AHM is more accurate and reliable than the standard FEM when solving problems of complex structures. Additionally, CSFEM could provide results of higher accuracy even using distorted meshes. Therefore, such method is a robust tool for analyzing mechanical properties of PCM structures.

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“…In [19], Vo-Duy T et al suggested a global numerical approach for lightweight design optimization of laminated composite plates subjected to frequency constraints by applying aeDE. Moreover, in [20], this author also proposed an aeDE based-effective approach to maximize the fundamental frequency of laminated functionally graded carbon nanotube-reinforced composite quadrilateral plates. Besides, in [21], Demertzis K and liadis L utilized aeDE to optimize extreme learning machine model, and then it is applied to create an advanced computer vision system for the phenotype based automatic recognition of invasive or other unknown species.…”

Section: Introductionmentioning

confidence: 99%

A New Binary Adaptive Elitist Differential Evolution Based Automatic k‐Medoids Clustering for Probability Density Functions

Phamtoan

Vovan

Pham-Chau

et al. 2019

Mathematical Problems in Engineering

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This paper proposes an evolutionary computing based automatic partitioned clustering of probability density function, the so-called binary adaptive elitist differential evolution for clustering of probability density functions (baeDE-CDFs). Herein, the k-medoids based representative probability density functions (PDFs) are preferred to the k-means one for their capability of avoiding outlier effectively. Moreover, addressing clustering problem in favor of an evolutionary optimization one permits determining number of clusters “on the run”. Notably, the application of adaptive elitist differential evolution (aeDE) algorithm with binary chromosome representation not only decreases the computational burden remarkably, but also increases the quality of solution significantly. Multiple numerical examples are designed and examined to verify the proposed algorithm’s performance, and the numerical results are evaluated using numerous criteria to give a comprehensive conclusion. After some comparisons with other algorithms in the literature, it is worth noticing that the proposed algorithm reveals an outstanding performance in both quality of solution and computational time in a statistically significant way.

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

Cited by 14 publications

References 71 publications

Metaheuristic Optimization of Laminated Composite Plates with Cut-Outs

Metaheuristic Optimization of Laminated Composite Plates with Cut-Outs

A Coupling Electromechanical Cell-Based Smoothed Finite Element Method Based on Micromechanics for Dynamic Characteristics of Piezoelectric Composite Materials

A New Binary Adaptive Elitist Differential Evolution Based Automatic k‐Medoids Clustering for Probability Density Functions

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