Static and free vibration analysis of laminated composite plates using the conforming radial point interpolation method

Liu, G.R.; Zhao, Xin; Dai, K. Y.; Zhong, Zhihua; Li, G.Y.; Han, Xu

doi:10.1016/j.compscitech.2007.07.014

Cited by 122 publications

(47 citation statements)

References 42 publications

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“…The RPIM within the framework of weak form applied in various engineering problems: solid mechanics , Liu et al 2005, plate structures , geometrical nonlinearity , composite materials (Liu et al 2008) and consolidation process . Ghaffarzadeh and mansouri (2013) studied the longitudinal wave propagation based on RPIM in rods.…”

Section: Latin American Journal Of Solids and Structures 13 (2016) 26mentioning

confidence: 99%

Study on Meshfree Hermite Radial Point Interpolation Method for Flexural Wave Propagation Modeling and Damage Quantification

Ghaffarzadeh

Barghian

Mansouri

et al. 2016

Lat. Am. j. solids struct.

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This paper investigates the numerical modeling of the flexural wave propagation in Euler-Bernoulli beams using the Hermite-type radial point interpolation method (HRPIM) under the damage quantification approach. HRPIM employs radial basis functions (RBFs) and their derivatives for shape function construction as a meshfree technique. The performance of Multiquadric(MQ) RBF to the assessment of the reflection ratio was evaluated. HRPIM signals were compared with the theoretical and finite element responses. Results represent that MQ is a suitable RBF for HRPIM and wave propagation. However, the range of the proper shape parameters is notable. The number of field nodes is the main parameter for accurate wave propagation modeling using HRPIM. The size of support domain should be less thanan upper bound in order to prevent high error. With regard to the number of quadrature points, providing the minimum numbers of points are adequate for the stable solution, but the existence of more points in damage region does not leads to necessarily the accurate responses. It is concluded that the pure HRPIM, without any polynomial terms, is acceptable but considering a few terms will improve the accuracy; even though more terms make the problem unstable and inaccurate.

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Section: Latin American Journal Of Solids and Structures 13 (2016) 26mentioning

confidence: 99%

Study on Meshfree Hermite Radial Point Interpolation Method for Flexural Wave Propagation Modeling and Damage Quantification

Ghaffarzadeh

Barghian

Mansouri

et al. 2016

Lat. Am. j. solids struct.

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“…The plates is not only analysed under first order shear deformation theory but, Ferreira [12][13][14] and his group produced numerous research on plates using RBF under higher order shear deformation theories since last few years, and Liu et al [15] also investigated laminated composite plates with same method. Meanwhile, Sanyasiraju [16], also used this technique to solve some problems Spline is another type of approximation involves scattered data interpolation, where it used widely in numerical analysation. This method introduced by Schoenberg for a special study, then developed by Bickley [17] for two point boundary problems.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Study of Anti-Symmetric Angle-Ply Laminated Plates under Clamped Boundary Conditions

Viswanathan

Karthik

Sanyasiraju

et al. 2016

Curved and Layered Structures

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Two type of numerical approach namely, Radial Basis Function and Spline approximation, used to analyse the free vibration of anti-symmetric angle-ply laminated plates under clamped boundary conditions. The equations of motion are derived using YNS theory under first order shear deformation. By assuming the solution in separable form, coupled differential equations obtained in term of mid-plane displacement and rotational functions. The coupled differential is then approximated using Spline function and radial basis function to obtain the generalize eigenvalue problem and parametric studies are made to investigate the effect of aspect ratio, length-to-thickness ratio, number of layers, fibre orientation and material properties with respect to the frequency parameter. Some results are compared with the existing literature and other new results are given in tables and graphs.

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“…Metin and Taner [11] employed the Ritz method to find the natural frequencies of anti-symmetric angle-ply laminated thin square composite plates for different boundary conditions. The static deflections and free vibration of plates with different shapes and boundary conditions were examined by the Liu et al [12]. They used the first order shear deformation theory.…”

Section: Introductionmentioning

confidence: 99%

Prediction of Natural Frequency of Laminated Composite Plates Using Artificial Neural Networks

Mutra¹,

Reddy²,

Reddy³

et al. 2012

ENG

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The paper is focused on the application of artificial neural networks (ANN) in predicting the natural frequency of laminated composite plates under clamped boundary condition. For training and testing of the ANN model, a number of finite element analyses have been carried out using D-optimal design in the design of experiments (DOE) by varying the fibre orientations, -45˚, 0˚, 45˚ and 90˚. The composite plate is modeled using linear layered structural shell element. The natural frequencies were found by analyses which were done by finite element (FE) analysis software. The ANN model has been developed using multilayer perceptron (MLP) back propagation algorithm. The adequacy of the developed model is verified by coefficient of determination (R). It was found that the R 2 (R: coefficient of determination) values are 1 and 0.998 for train and test data respectively. The results showed that, the training algorithm of back propagation was sufficient enough in predicting the natural frequency of laminated composite plates. To judge the ability and efficiency of the developed ANN model, absolute relative error has been used. The results predicted by ANN are in very good agreement with the finite element (FE) results. Consequently, the D-optimal design and ANN are shown to be effective in predicting the natural frequency of laminated composite plates.

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Static and free vibration analysis of laminated composite plates using the conforming radial point interpolation method

Cited by 122 publications

References 42 publications

Study on Meshfree Hermite Radial Point Interpolation Method for Flexural Wave Propagation Modeling and Damage Quantification

Study on Meshfree Hermite Radial Point Interpolation Method for Flexural Wave Propagation Modeling and Damage Quantification

Free Vibration Study of Anti-Symmetric Angle-Ply Laminated Plates under Clamped Boundary Conditions

Prediction of Natural Frequency of Laminated Composite Plates Using Artificial Neural Networks

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