Dynamics of magneto electro elastic curved beams: Quantification of parametric uncertainties

Piován, Marcelo T.; Olmedo, J.F.; Sampaio, Rubens

doi:10.1016/j.compstruct.2015.07.084

Cited by 6 publications

(5 citation statements)

References 24 publications

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“…With the increasing engineering applications of MEE materials, a large number of studies on the examination of structural mechanics of MEE materials have been reported. Several kinds of methods were used to solve the structural mechanics problem of MEE structures, such as Pseudo Stroh method (Wu et al, 2018), state space approach (Xin and Hu, 2015), perturbation method (Razavi and Shooshtari, 2015), and finite element method (FEM) (Alaimo et al, 2014; Kattimani and Ray, 2014; Milazzo and Orlando, 2012; Piovan et al, 2015). The present author studied the buckling and free vibration behavior of MEE plates resting on the Pasternak foundation (Li, 2014; Li and Zhang, 2014).…”

Section: Introductionmentioning

confidence: 99%

Free vibration of porous FG magneto-electro-elastic microbeams in the hygrothermal environment based on differential transformation method

Zhang,

Li,

2023

Journal of Intelligent Material Systems and Structures

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Free vibration of the porous functionally graded magneto-electro-elastic (FGMEE) microbeams in hygrothermal environment is investigated. Four kinds of distributions of porosities including uniform porosity, “O,”“X,” and “V” type porosities are assumed in this paper. For the functionally graded microbeam, the physical neutral surface is considered. The modified couple stress theory is adopted to capture the size effect. The equations of motion for the porous FGMEE microbeam are derived and solved by differential transformation method. In the numerical examples, the effect of electric and magnetic loadings, material length scale parameter, the temperature rise, the moisture concentration, material gradient index, and porosity volume fraction on the natural frequency are analyzed and discussed in detail. The results indicate that different porous distribution modes have different effects on natural frequency. Moisture concentration/temperature rise can reduce the natural frequency regardless of what the temperature and moisture modes is. These results will be useful for the design of the porous FGMEE structures.

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Section: Introductionmentioning

confidence: 99%

Free vibration of porous FG magneto-electro-elastic microbeams in the hygrothermal environment based on differential transformation method

Zhang,

Li,

2023

Journal of Intelligent Material Systems and Structures

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“…Hosseinloo and Turitsyn (2016) examined the uncertainty propagation behaviors of energy harvesters in presence of parametric uncertainties. Piovan et al (2015) evaluated the uncertainty propagation behaviors of MEE curved beams associated with several stochastic uncertain parameters. De Paula et al (2015) set up a theoretical model to reveal the energy harvesting performances of MEE beam under random excitation.…”

Section: Introductionmentioning

confidence: 99%

Vibration performance evaluation of smart magneto-electro-elastic nanobeam with consideration of nanomaterial uncertainties

Liu

2019

Journal of Intelligent Material Systems and Structures

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This study is devoted to examining the vibration behaviors of magneto-electro-elastic nanobeams with consideration of nanomaterial uncertainties induced by the atom defect and manufacturing deviation. Based on the nonlocal Timoshenko beam theory, the governing equations of a magneto-electro-elastic nanobeam resting on a Winkler–Pasternak foundation and subjected to electric and magnetic potentials are derived. The material properties of the magneto-electro-elastic nanobeam are treated as uncertain parameters with well-defined bounds to overcome the extensive information required in probabilistic evaluation. The range of natural frequency of the magneto-electro-elastic nanobeam is predicted via a non-probabilistic evaluation methodology, which is validated by comparing with Monte Carlo simulation and probabilistic evaluation methodology. Then, the parametric analyses are performed to reveal the coupling effects of nanomaterial uncertainties, and nonlocal parameter, as well as elastic foundation parameters on the vibration performance of magneto-electro-elastic nanobeams. It is demonstrated that the nanomaterial uncertainties affect the mechanical behaviors of magneto-electro-elastic nanostructures significantly and the present model can be degenerated into the deterministic model as the nanomaterial uncertainty is eliminated.

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“…The goal in this research field is to power small electronic components by using the vibrational energy available in their environment so that the demand for battery replacement and disposal can be minimized [3]. Basically rule some transformation mechanisms can be used for converting ambient vibrations into electricity such as electrostatic [7], [8], piezoelectric [9], [10], electromagnetic [11], [12] and magnetostrictive [13], [14]. The basic distinction of piezoelectric materials over the other transmit is their high power density, ease of application as well as relative ease of productivity at small scales.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution of piezoelectric energy harvester patch for various thin multilayer composite beams

Paknejad

Rahimi

Farrokhabadi

et al. 2016

Composite Structures

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Dynamics of magneto electro elastic curved beams: Quantification of parametric uncertainties

Cited by 6 publications

References 24 publications

Free vibration of porous FG magneto-electro-elastic microbeams in the hygrothermal environment based on differential transformation method

Free vibration of porous FG magneto-electro-elastic microbeams in the hygrothermal environment based on differential transformation method

Vibration performance evaluation of smart magneto-electro-elastic nanobeam with consideration of nanomaterial uncertainties

Analytical solution of piezoelectric energy harvester patch for various thin multilayer composite beams

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