Analytical Solution for Free Vibration of Laminated Curved Beam with Magnetostrictive Layers

Bayat, R.; Jafari, Ali; Rahmani, O.

doi:10.1142/s1758825115500507

Cited by 24 publications

(6 citation statements)

References 30 publications

(31 reference statements)

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“…For the curved beams restricted asymmetrically, the nonlinear frequency-amplitude curves are drawn in Fig. (3). In the case of fixed-simple supporting, the nonlinear frequencies increase with increasing amplitude for each curves.…”

Section: Figurementioning

confidence: 99%

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Elasti̇k Mesnetleri̇n Hafi̇fçe Eğri̇ Bi̇r Ki̇ri̇şi̇n Nonli̇neer Ti̇treşi̇mleri̇ne Etki̇leri̇

Sarıgül¹

2018

Uludağ University Journal of the Faculty of Engineering

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In this study, nonlinear vibrations of a slightly curved beam having arbitrary rising function are handled. The beam is restricted in longitudinal direction using elastic supports on both ends. Sag-to-span ratio of the beam, which is assumed to have sinusoidal curvature function at the beginning, is taken as 1/10. Beam being of Euler-Bernoulli type rests on Winkler elastic foundation and carries an arbitrarily placed concentrated mass. Equations of motion are obtained by using Hamilton Principle. Cubic and quadratic nonlinear terms have been aroused at the mathematical model because of the foundation and the beam's elongation. The Method of Multiple Scales (MMS), a perturbation technique, is used to solve the equations of motion analytically. The primary resonance case is taken into account during steady-state vibrations. The natural frequencies are obtained exactly for different control parameters such as supports' types, locations of the masses and linear coefficient of foundation. Frequency-amplitude and frequencyresponse graphs are drawn by using amplitude-phase modulation equations.

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Section: Figurementioning

confidence: 99%

“…A solid regular polygon cross section has been selected. Bayat et al(2015) studied a laminated curved beam with the embedded magnetostrictive layers under simply-supported boundary conditions. They examined the effects of material properties, radius of the curvature and magnetostrictive layers on the vibration suppression.…”

mentioning

confidence: 99%

Elasti̇k Mesnetleri̇n Hafi̇fçe Eğri̇ Bi̇r Ki̇ri̇şi̇n Nonli̇neer Ti̇treşi̇mleri̇ne Etki̇leri̇

Sarıgül¹

2018

Uludağ University Journal of the Faculty of Engineering

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“…They found that higher gain control leads to a lower frequency. The analysis of a curved beam with magnetostrictive layers was performed by Bayat et al (2015). They used Terfenol-D as the magnetostrictive material.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of magnetorheological fluid circular sandwich plates with magnetostrictive facesheets exposed to monotonic magnetic field located on visco-Pasternak substrate

Amir

Arshid

Maraghi

et al. 2020

Journal of Vibration and Control

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Magnetorheological fluids are materials that react to the applied magnetic field and are converted to the quasi-solid phase from the liquid one. Their applications in control and suppression of vibration have interested scientists nowadays. The present study is focused on the vibrational behavior of magnetorheological fluid circular plates that are embedded with magnetostrictive face layers. Magnetostrictive materials are also playing an important role in vibration control and are used widely in smart devices such as sensors and actuators. The structure is exposed to the transverse monotonic magnetic field and is located on the visco-Pasternak elastic substrate. Using Hamilton’s principle and based on classical plate theory, the motion equations and boundary conditions are extracted, and the generalized differential quadrature method is selected to solve them. Three different types of magnetorheological fluids are considered, and their effect on the results is discussed. The outcomes of this study can be used to design more capable and precise dampers, smart structures, and devices.

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“…After about a decade, Hong 3 presented a new paper dealing with the thermo-mechanical transient dynamic responses of laminated composite plates. The free vibration problem of laminated composite curved beams including magnetostrictive layers was solved by Rahmani et al 4 On the other hand, evidently there is no doubt in the science society on the enhanced specifications of composite materials. As a matter of fact, these improved characteristics are not unbelievable because once two different materials are mixed the achieved material would possess some properties of each of those initial components.…”

Section: Introductionmentioning

confidence: 99%

“…The free vibration problem of laminated composite curved beams including magnetostrictive layers was solved by Rahmani et al. 4…”

Section: Introductionmentioning

confidence: 99%

Wave propagation analysis of magnetostrictive sandwich composite nanoplates via nonlocal strain gradient theory

Ebrahimi

Dabbagh

2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this study, the survey of the wave dispersion behaviors of sandwich composite nanoplates is carried out by considering the magnetostriction phenomenon. The nanoplate is assumed to be made up of a central magnetostrictive core in addition to two composite face sheets. The scale influences are covered based on the nonlocal strain gradient theory. Moreover, the equations of plate motion are derived according to the classical plate theory. Afterward, the magnetization effects are considered by introducing a feedback control system. Then, Hamilton’s principle is introduced to obtain the Euler–Lagrange equations of the magnetostrictive sandwich composite nanoplate. Also, by relating the achieved equations with those of the nonlocal strain gradient theory, the nonlocal governing equations of magnetostrictive sandwich composite nanoplate are developed. The wave frequency and phase velocity values are computed by the application of an analytical solution. Finally, the effects of participant coefficients are illustrated separately through certain figures.

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Analytical Solution for Free Vibration of Laminated Curved Beam with Magnetostrictive Layers

Cited by 24 publications

References 30 publications

Elasti̇k Mesnetleri̇n Hafi̇fçe Eğri̇ Bi̇r Ki̇ri̇şi̇n Nonli̇neer Ti̇treşi̇mleri̇ne Etki̇leri̇

Elasti̇k Mesnetleri̇n Hafi̇fçe Eğri̇ Bi̇r Ki̇ri̇şi̇n Nonli̇neer Ti̇treşi̇mleri̇ne Etki̇leri̇

Vibration analysis of magnetorheological fluid circular sandwich plates with magnetostrictive facesheets exposed to monotonic magnetic field located on visco-Pasternak substrate

Wave propagation analysis of magnetostrictive sandwich composite nanoplates via nonlocal strain gradient theory

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