Free Vibration of Laminated Composite Plate with Shape Memory Alloy Fibers

Mahabadi, Rayehe Karimi; Shakeri, M.; Pazhooh, Mitra Danesh

doi:10.1590/1679-78252162

Cited by 25 publications

(14 citation statements)

References 24 publications

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“…where [Q] k is the reduced stiffness matrix of the k th layer of the laminated composite. {s} 12 and {e} 12 are the stress and strain vectors in 1-2 plane and V a is the volume fraction of the shape memory alloy within the composite.…”

Section: The Finite Element Methods Formulationmentioning

confidence: 99%

“…The Brinson's model was used in this study to predict the amount of recovery stress induced by the shape memory alloy within the composite [13]. Using the constitutive and the evolutionary equations of the model, with initial strain, e L = 0.001, the amount of recovery stress, s r and the Young's modulus, E s of the shape memory alloy correspond to the activation temperature, T a are shown, Table 2.…”

Section: The Brinson's Modelmentioning

confidence: 99%

“…It was found that the thermal buckling was enhanced and hence the shape memory alloy can be used to improve buckling problem in the structures that are exposed to high temperature. In a recent paper, the free vibration response of composite plate reinforced with shape memory alloy fibres was determined using Ritz method to obtain an analytical closed form solution where Brinson's model was applied to predict the shape memory alloy properties [12][13]. Several parametric studies were conducted to investigate the effect of shape memory alloy on the first frequency response of the composite.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic instability response of smart composite material

Roslan

Yusof

Rasid

et al. 2019

Materialwissenschaft Werkst

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Laminated composite is common to replace traditional metals in today's industries due to its high specific strength. Shape memory alloy has been used to improve structural behaviours such as buckling, vibration and fatigue through its well‐ known property of shape memory effect. This ability of shape memory alloy to improve the parametric instability behaviour of laminated composite plate has not been studied in the past and as such, this study is conducted. Here, shape memory alloy wires are embedded within the outer layers of the laminated composite plates. The Mathieu‐Hill equation for the parametric instability of the shape memory alloy composite plate has been developed using finite element method based on the first order shear deformation theory. The formulation is validated and parametric studies have been conducted to investigate the effect of shape memory alloy on the dynamic instability behaviour of the composite that corresponds to factors such as static load factor, thickness of the plate and boundary conditions. The study shows that shape memory alloy improves significantly the dynamic instability behaviour of the laminated composite plate by shifting the instability chart to the right. The effect of shape memory alloy can increase the frequency centre of the instability chart by more than 100 %.

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Section: The Finite Element Methods Formulationmentioning

confidence: 99%

Section: The Brinson's Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamic instability response of smart composite material

Roslan

Yusof

Rasid

et al. 2019

Materialwissenschaft Werkst

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“…Ostachowicz et al [ 3 ] established a finite element model for predicting the first three natural frequencies subjected to several kinds of pre-strain. Malekzadeh et al [ 4 , 5 , 6 , 7 ] developed the linear free vibration of hybrid laminated composite plates embedded with SMA fibers, employing the Ritz method, which lead to extracting the fundamental natural frequency, and investigated the dynamic behavior on detailed parametric analyses such as volume fraction, pre-strain, and aspect ratio. Park et al [ 8 ] studied the vibration behavior of thermally buckled SMA composite plates using the von Karman nonlinear incremental strain–displacement relation.…”

Section: Introductionmentioning

confidence: 99%

Sound Radiation of Orthogonal Antisymmetric Composite Laminates Embedded with Pre-Strained SMA Wires in Thermal Environment

Huang

Zhang

et al. 2020

Materials

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The interest of this article lies in the sound radiation of shape memory alloy (SMA) composite laminates. Different from the traditional method of avoiding resonance sound radiation of composite laminates by means of structural parameter design, this paper explores the potential of adjusting the modal peak of the resonant acoustic radiation by using material characteristics of shape memory alloys (SMA), and provides a new idea for avoiding resonance sound radiation of composite laminates. For composite laminates embedded with pre-strained SMA, an innovation of vibration-acoustic modeling of SMA composite laminates considering pre-stain of SMA and thermal expansion force of graphite-epoxy resin is proposed. Based on the classical thin plate theory and Hamilton principle, the structural dynamic governing equation and the frequency equation of the laminates subjected to thermal environment are derived. The vibration sound radiation of composite laminates is calculated with Rayleigh integral. Effects of ambient temperature, pre-strain, SMA volume fraction, substrate ratio, and geometrical parameters on the sound radiation were analyzed. New laws of SMA material and pre-strain characteristics on sound radiation of composite laminates under temperature environment are revealed, which have theoretical and engineering functional significance for vibration and sound radiation control of SMA composite laminates.

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“…So far, many researchers have studied the vibration characteristics of SMAs. Mahabadi et al. (2016) presented a closed form solution for free vibration response of composite plate reinforced with SMA fibers.…”

Section: Introductionmentioning

confidence: 99%

Active tuning and maximization of natural frequency in three-dimensional functionally graded shape memory alloy composite structures using meshless local Petrov–Galerkin method

Nazari

Hosseini

Abolbashari

2019

Journal of Vibration and Control

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A mesh-less method based on the local Petrov–Galerkin approach is developed and numerically implemented for active tuning and three-dimensional (3D) analysis of free vibration response of functionally graded (FG) shape memory alloy (SMA) sandwich composites. The local symmetric weak formulation is derived based on the 3D equilibrium equations of elasticity and the field variables are interpolated using the moving-least squares approach. Two main goals are followed. Firstly, free vibration analysis of a sandwich plate made of a SMA fiber reinforced composite core and two FG face sheets are presented. A parametric study is performed to investigate the influences of design parameters on the fundamental natural frequency (FNF) of composite structure and also maximize that. Secondly, SMA wires are embedded to fiber reinforced (FR) composite structures to enable precisely active control of their dynamic characteristics and change that in a required manner. To increase the controllability level and tune the complex exhibits, functionally graded shape memory alloys are considered which have the advantage of combining the functionalities of the shape memory effect and those of FG structures. This paper uses multi-layer activation patterns and the polynomial graded orientation angle of SMA wire along the structure thickness to furnish the FR composite designer with a powerful free vibration control tool. Finally, two activation techniques of SMA wires, the active property tuning (APT) and the active strain energy tuning (ASET) techniques, are compared. It is concluded from all investigated cases that the obtained FNF of ASET technique is always larger than the APT technique.

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Free Vibration of Laminated Composite Plate with Shape Memory Alloy Fibers

Cited by 25 publications

References 24 publications

Dynamic instability response of smart composite material

Dynamic instability response of smart composite material

Sound Radiation of Orthogonal Antisymmetric Composite Laminates Embedded with Pre-Strained SMA Wires in Thermal Environment

Active tuning and maximization of natural frequency in three-dimensional functionally graded shape memory alloy composite structures using meshless local Petrov–Galerkin method

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