Natural frequencies of a multilayer SMA laminated composite cantilever plate

Balapgol, Basavaraj S.; Bajoria, Kamal M.; Kulkarni, Sudhakar A.

doi:10.1088/0964-1726/15/4/015

Cited by 17 publications

(15 citation statements)

References 16 publications

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“…Most of substrates are plate and a few of them are wave-shaped shell. The structures with plate substrate are reliable and easy to composite so that they are applied widely in deformation and noise control of beams and panels in engineering applications, and the results show that this composite structure can make full use of SMA's damping characteristics to achieve better vibration and deformation suppression effects [5][6][7][8]14,15].…”

Section: Introductionmentioning

confidence: 94%

“…They have been widely applied in mechanical engineering, civil engineering, aerospace engineering and so on [1][2][3][4][5][6]. At present, in the static and dynamic analysis of engineering structure, research on SMA composite structure mainly involves active and passive control of the deformation, vibration and noise of the beam and shell structure, of which the main composite structures adopted are: (1) SMA films are laminated with a substrate [6][7][8][9][10]; (2) SMA wires and alloying pellets are embedded into a substrate [11,12]; (3) SMA fiber woven layer composite structures [13]. For the first laminated structure, the SMA is usually used as a surface, while the other elastic material is used as a substrate.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Force-displacement characteristics of simply supported beam laminated with shape memory alloys

Zhen-hua

2011

Acta Mech Sin

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As a preliminary step in the nonlinear design of shape memory alloy (SMA) composite structures, the forcedisplacement characteristics of the SMA layer are studied. The bilinear hysteretic model is adopted to describe the constitutive relationship of SMA material. Under the assumption that there is no point of SMA layer finishing martensitic phase transformation during the loading and unloading process, the generalized restoring force generated by SMA layer is deduced for the case that the simply supported beam vibrates in its first mode. The generalized force is expressed as piecewise-nonlinear hysteretic function of the beam transverse displacement. Furthermore the energy dissipated by SMA layer during one period is obtained by integration, then its dependencies are discussed on the vibration amplitude and the SMA's strain (Ms-Strain) value at the beginning of martensitic phase transformation. It is shown that SMA's energy dissipating capacity is proportional to the stiffness difference of bilinear model and nonlinearly dependent on Ms-Strain. The increasing rate of the dissipating capacity gradually reduces with the amplitude increasing. The condition corresponding to the maximum dissipating capacity is deduced for given value of the vibration amplitude. The obtained results are helpful for designing beams laminated with shape memory alloys.

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Section: Introductionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Force-displacement characteristics of simply supported beam laminated with shape memory alloys

Zhen-hua

2011

Acta Mech Sin

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“…If the martensitic residual strain, r ε , initially constituted in the SMA layers is less than the recovery strain limit, L ε , in Eqs. (29)- (33), Ω should be replaced by a corrected value c Ω , which can be computed from…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Ghomshei et al [31,32] presented a mathematical model for analysis of a thermally driven shape memory alloy/elastomer actuator under arbitrary loading and boundary conditions. Balapgol et al [33] studied the free vibration analysis of an SMA surface laminated composite cantilever plate by means of a finite-element method. Chen and Levy [34] proposed the mathematical model of a flexible beam covered with SMA layers.…”

Section: Introductionmentioning

confidence: 99%

A mathematical model for smart functionally graded beam integrated with shape memory alloy actuators

2009

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This paper presents a theoretical study of the thermally driven behavior of a shape memory alloy (SMA)/FGM actuator under arbitrary loading and boundary conditions by developing an integrated mathematical model. The model studied is established on the geometric parameters of the three-dimensional laminated composite box beam as an actuator that consists of a functionally graded core integrated with SMA actuator layers with a uniform rectangular cross section. The constitutive equation and linear phase transformation kinetics relations of SMA layers based on Tanaka and Nagaki model are coupled with the governing equation of the actuator to predict the stress history and to model the thermo-mechanical behavior of the smart shape memory alloy/FGM beam. Based on the classical laminated beam theory, the explicit solution to the structural response of the structure, including axial and lateral deflections of the structure, is investigated. As an example, a cantilever box beam subjected to a transverse concentrated load is solved numerically. It is found that the changes in the actuator's responses during the phase transformation due to the strain recovery are significant.

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“…Balapgol et. al [3,4], studied the deflection, natural frequency and time response of shape memory alloy laminated composite plate using finite element model with first order shear deformation theory. The composite plate consists of a thin layer of SMA bonded to elastomer core.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Analysis of Shape Memory Alloy Laminated Composite Plates

Kassem

Elshafei

Negm

2014

The International Conference on Applied Mechanics and Mechanica

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In the present work, laminated composite plates with surface bonded shape memory alloy sheets are modeled and analyzed based on the modified higher-order shear deformation theory. The energy balance equations in conjunction with Brinson's SMA constitutive model are used to formulate the heat transfer governing equations. The static responses as well as dynamic characteristics of the plates are obtained using Ritz solution technique. The plates are subjected to mechanical loads with two types of boundary conditions, simply-supported and cantilevered. A Mathematica code is developed to analyze different plate problems. The time response of the shape memory alloy laminated composite plate is studied. The obtained results are compared to the available studies solved by different theories. Parametric studies are conducted to demonstrate the effect of thickness ratio, aspect ratio, material properties, thermal expansion coefficient, and thickness of shape memory alloy sheet on the transverse deflections, natural frequencies, and response time. KEY WORDSShape memory alloys, composite plate, Higher-order shear deformation theory, heat transfer modeling, Ritz energy method, static and dynamic analysis of plates.---

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Natural frequencies of a multilayer SMA laminated composite cantilever plate

Cited by 17 publications

References 16 publications

Force-displacement characteristics of simply supported beam laminated with shape memory alloys

Force-displacement characteristics of simply supported beam laminated with shape memory alloys

A mathematical model for smart functionally graded beam integrated with shape memory alloy actuators

Modeling and Analysis of Shape Memory Alloy Laminated Composite Plates

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