Vibration analysis of laminated composite plates with damage using the perturbation method

Qiao, Pizhong; Xu, Jifeng

doi:10.1016/j.compositesb.2014.12.005

Cited by 36 publications

(14 citation statements)

References 23 publications

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“…In numerical approaches for detecting damages, damages are defined as the reduction of material properties (Young's modulus and/or Poisson's ratio) of a specific region. 20,21 In this paper, we restrict the scope of our study in the sense that the damage is considered as the fiber or matrix-stiffness reduction factor at one or more local areas, although this is not a limitation of the approach in general. Specifically, the structure is discretized into a set of finite elements categorized into undamaged and damaged states of different degradation levels.…”

Section: Function-based Micromechanical Damage Modelmentioning

confidence: 99%

Micromechanical damage identification of vibrating laminated composites using bivariate Gaussian function-based genetic algorithms

Lee

Kim

2018

Journal of Composite Materials

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This study deals with a micromechanical detection of stiffness degradation occurred by the fiber damage in vibrating laminated composite plates. Five unknown parameters are considered to determine the fiber or matrix damage distribution, which is a modified form of the bivariate Gaussian distribution function. The proposed approach is more feasible than the conventional element-based damage detection method from the computational efficiency because it is independent on the number of divided elements. The micromechanical model is embedded in the reconstruction algorithm using the modified Halpin–Tsai formulation. The numerical examples show that the proposed technique is a feasible and practical method, which can prove the location of a damaged region as well as inspect the distribution of deteriorated stiffness of composites for different fiber angles and layup sequences.

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Section: Function-based Micromechanical Damage Modelmentioning

confidence: 99%

Micromechanical damage identification of vibrating laminated composites using bivariate Gaussian function-based genetic algorithms

Lee

Kim

2018

Journal of Composite Materials

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“…For nonlinear ordinary and partial differential equations, perturbation methods can be used to quantify the change in solution with respect to unperturbed linear systems due to tiny disturbance to parameters. These methods have been used and developed in various fields with different backgrounds [8]- [10]. The eccentricity of the rotor shaft is defined as the small disturbance in this study.…”

Section: Perturbation Expressionmentioning

confidence: 99%

Perturbation Solutions for Annular Flow of Small Gap

Cao

Wang²

2015

JAMP

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The perturbation method is used to solve the control equations of a three-dimensional annular flow inside a small gap. The nonlinear equations are separated into zeroth-order and first-order perturbation equations. The velocity and pressure distributions are solved successively by different numerical methods with the zeroth-order and first-order equation. Agreement in results is found with the present method and software ANSYS-CFX, which illustrates the applicability of perturbation method in solving complicated flow field inside small gaps.

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“…They concluded that, the developed damage index successfully identified the presence of damage and required only a few mode shapes before and after damage. Wang et al [23] investigated the modal characteristics of damaged laminated composite plates using analytical and numerical approaches. The degradation of stiffness of the structure was considered as damage and concluded that, the modal strain energy and curvature mode shape had higher sensitivity to damage than natural frequencies and displacement mode shapes.…”

Section: Introductionmentioning

confidence: 99%

Damage Detection in Glass/Epoxy Laminated Composite Plates Using Modal Curvature for Structural Health Monitoring Applications

Govindasamy¹,

Kamalakannan²,

Chandrasekaran³

et al. 2020

J. Compos. Sci.

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This paper deals with detection of macro-level crack type damage in rectangular E-Glass fiber/Epoxy resin (LY556) laminated composite plates using modal analysis. Composite plate-like structures are widely found in aerospace and automotive structural applications which are susceptible to damages. The formation of cracks in a structure that undergoes vibration may lead to catastrophic events such as structural failure, thus detection of such occurrences is considered necessary. In this research, a novel technique called as node-releasing technique in Finite Element Analysis (FEA), which was not attempted by the earlier researchers, is used to model the perpendicular cracks (the type of damage mostly considered in all the pioneering research works) and also slant cracks (a new type of damage considered in the present work) of various depths and lengths for Unidirectional Laminate (UDL) ([0]S and [45]S) composite layered configurations using commercial FE code Ansys, thus simulating the actual damage scenario. Another novelty of the present work is that the crack is modeled with partial depth along the thickness of the plate, instead of the through the thickness crack which has been of major focus in the literature so far, in order to include the possibility of existence of the crack up to certain layers in the laminated composite structures. The experimental modal analysis is carried out to validate the numerical model. Using central difference approximation method, the modal curvature is determined from the displacement mode shapes which are obtained via finite element analysis. The damage indicators investigated in this paper are Normalized Curvature Damage Factor (NCDF) and modal strain energy-based methods such as Strain Energy Difference (SED) and Damage Index (DI). It is concluded that, all the three damage detection algorithms detect the transverse crack clearly. In addition, the damage indicator NCDF seems to be more effective than the other two, particularly when the detection is for damage inclined to the longitudinal axis of the plate. The proposed method will provide the base data for implementing online structural health monitoring of structures using technologies such as Machine Learning, Artificial Intelligence, etc.

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Vibration analysis of laminated composite plates with damage using the perturbation method

Cited by 36 publications

References 23 publications

Micromechanical damage identification of vibrating laminated composites using bivariate Gaussian function-based genetic algorithms

Micromechanical damage identification of vibrating laminated composites using bivariate Gaussian function-based genetic algorithms

Perturbation Solutions for Annular Flow of Small Gap

Damage Detection in Glass/Epoxy Laminated Composite Plates Using Modal Curvature for Structural Health Monitoring Applications

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