Reliability analysis of bistable composite laminates

Saberi, Saeid; Abdollahi, Azam

doi:10.3934/matersci.2021003

Cited by 10 publications

(8 citation statements)

References 37 publications

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“…After that, increasing a/b causes a growth in this parameter, which forms a parabola. It should be mentioned that bistable laminates do not have two stable shapes for ratios that are equal to or less than the critical ratio, and the natural frequency in this point is zero [20,35]. In addition to the parametric studies that shed more light on the trend of the inputs and the output parameters with relevant physical interpretations, to find the level of contribution of the inputs (i.e., a/b and t), the percentage of the sensitivity of each model is calculated using the following formula [57]:…”

Section: Parametric Study and Sensitivity Analysismentioning

confidence: 99%

“…Betts et al [19] investigated the stable configurations of angle-ply bistable plates using an analytical method, and the results were justified comparing the surface profiles obtained by experimental tests. According to Saberi et al [20], besides the stacking sequences, the material properties, geometrical features, and environmental conditions have a noticeable impact on the nonlinear behaviors of bistable structures. Saberi et al [21] estimated the probability of five types of bistable composite laminates using the principle of minimum energy, applying the Rayleigh-Ritz method with the subset simulation technique, which is an efficient approach to predict small failure probabilities.…”

Section: Introductionmentioning

confidence: 99%

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Developing Equations for Free Vibration Parameters of Bistable Composite Plates Using Multi-Objective Genetic Programming

et al. 2022

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For the last three decades, bistable composite laminates have gained publicity because of their outstanding features, including having two stable shapes and the ability to change these states. A common challenge regarding the analysis of these structures is the high computational cost of existing analytical methods to estimate their natural frequencies. In the current paper, a new methodology combining the Finite Element Method (FEM) and Multi-Objective Genetic Programming (MOGP) is proposed for the analysis of bistable composite structures, leading to some analytical relations derived to obtain the modal parameters of the shells. To achieve this aim, the data extracted from FEM, consisting of the ratio of the length to width (a/b) and the thickness (t) of the laminate, is split into Train and Validation, and Test, subsets. The former is used in MOGP, and four formulas are proposed for the prediction of the free vibration parameters of bistable laminates. The formulas are checked against the Test subset, and the statistical indices are calculated. An excellent performance is observed for all GP formulas, which indicates the reliability and accuracy of the predictions of these models. Parametric studies and sensitivity analyses are conducted to interpret the trend of input parameters in the GP models and the level of sensitivity of each natural frequency formula to the input parameters. These explicit mathematical expressions can be extended to the other bistable laminates to obtain their natural frequencies on the basis of their geometrical dimensions. The results are validated against the experimental data and verified against FEM outcomes.

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Section: Parametric Study and Sensitivity Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Developing Equations for Free Vibration Parameters of Bistable Composite Plates Using Multi-Objective Genetic Programming

et al. 2022

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“…The significance of randomness in the orientation of layers for laminates with balanced and corner layers was analyzed. In [5], bistable composite laminates are considered. They can be used in the design of engineering structures because of their low density and deformation properties.…”

Section: Introductionmentioning

confidence: 99%

A Probable Approach to Reliability Assessment of Reinforced Plates

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et al. 2023

ASI

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A scheme for solving the problem of determining the probability of failure and probabilistic (statistical) characteristics of the failure loading magnitude of a composite material plate is considered. The plate structure is a flat homogeneous matrix with stochastically distributed rigid rod inclusions. The geometric parameters of inclusions are considered independent random variables with given probability distribution laws. The expressions for the failure loading distribution function, the probability of failure, the mean value, and the dispersion of the failure loading were received and presented. Their dependence on the type of stress state, the inclusion number, and matrix Poisson’s ratio were studied graphically.

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“…Of particular interest is the variety of uncertainties in the composite materials due to the production and manufacturing processes used. This leads to variability in the mechanical properties, which affects the analytical and experimental results, and has a significant influence upon structural responses and reliability [11,12]. Consequently, to improve the performance of composite laminates, these uncertainties should be recognized and analyzed.…”

Section: Introductionmentioning

confidence: 99%

“…The sensitivity of the cured shape to each parameter was determined by considering a ±5% change in the parameter using the total potential energy and the Rayleigh-Ritz method. Recently, Saberi et al [12] investigated the reliability of a cross-ply bistable laminate using the combination of minimum potential energy, Rayleigh-Ritz and Monte Carlo methods. The thickness and coefficient of thermal expansion were shown to have a larger effect on the bistability behavior compared to other input parameters.…”

Section: Introductionmentioning

confidence: 99%