A novel stabilized node-based smoothed radial point interpolation method (SNS-RPIM) for coupling analysis of magneto-electro-elastic structures in hygrothermal environment

Ren, Shuhui; Meng, Guangwei; Nie, Bin; Zhou, Liming; Zhao, Hongwei

doi:10.1016/j.cma.2020.112975

Cited by 23 publications

(3 citation statements)

References 55 publications

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“…Then, we analyzed the energy errors of NS-RPIM and FEM when using the same number of nodes. The calculation equation of the energy error norm is (Ren et al, 2020a)…”

Section: Numerical Casesmentioning

confidence: 99%

“…To overcome these defects, a series of smoothed FEMs (S-FEMs) have been derived and completed in recent years (Li and Cui, 2020;Zeng and Liu, 2018;Zhou et al, 2019a). The smoothed radial point interpolation method (S-RPIM) (Tao et al, 2019;Ren et al, 2020aRen et al, , 2020b using the GS-Galerkin weak formulations based on the G-space theory (Gori et al, 2019;Liu, 2010aLiu, , 2010b reduces the limitation of consistency of shape function. Besides, the node-based S-RPIM (NS-RPIM) is a novel numerical method (Bie et al, 2018;Cui et al, 2016;Hu et al, 2017) with the gradient smoothing technique (Liu, 2008;Zhou et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

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Dynamic analysis of magneto-electro-elastic nanostructures using node-based smoothed radial point interpolation method combined with micromechanics-based asymptotic homogenization technique

Zhou

Nie

Ren

et al. 2020

Journal of Intelligent Material Systems and Structures

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The node-based smoothed radial point interpolation method combined with the asymptotic homogenization method was proposed, as an addition to the finite element method, to address the static and dynamic reactions of magneto-electro-elastic coupling micromechanical problems. First, several basic equations for relevant problems were derived. Second, asymptotic homogenization method was utilized to determine the material properties of magneto-electro-elastic nanomaterials. Third, node-based smoothed radial point interpolation method was applied to obtain the discrete equations of magneto-electro-elastic nanostructures. Then, the Newmark method was introduced to solve the response of microcosmic problems. Finally, several numerical examples were calculated to prove the accuracy, convergence, and reliability of node-based smoothed radial point interpolation method by comparing the results of node-based smoothed radial point interpolation method with those of finite element method.

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“…Then, we analyzed the energy errors of NS-RPIM and FEM when using the same number of nodes. The calculation equation of the energy error norm is (Ren et al, 2020a)…”

Section: Numerical Casesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of magneto-electro-elastic nanostructures using node-based smoothed radial point interpolation method combined with micromechanics-based asymptotic homogenization technique

Zhou

Nie

Ren

et al. 2020

Journal of Intelligent Material Systems and Structures

Self Cite

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“…Further, under varying geometric features, 42 material composition, 43 and additional damping, 44 studies on the nonlinear motion processes have demonstrated the effectiveness of this method. 45,46 Some new finite element methods, such as uniform 47 or nonuniform 48 and coupled multiphysical cell-based 49 smoothed finite element algorithms 50 can also solve the multifield coupling dynamics problem, 51 under a thermal environment 52 or hygrothermal environment, 53,54 under various boundary conditions. These methods could also be combined with other algorithms, such as the asymptotic homogenization method.…”

Section: Introductionmentioning

confidence: 99%

Piezoelectric generator with nonlinear structure

Wang

Liu

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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Motion in nature is usually a low-frequency vibration such as walking, running, swinging arms, and so on, but traditional piezoelectric cantilever structures are inefficient at harvesting energy from low-frequency vibrations. T in the environment. To overcome this, a novel piezoelectric generator was designed. A cantilevered bimorph with a tip mass and a pair of preloading springs were fixed on its base to form a nonlinear piezoelectric generator. The energy transmission in the structure was analyzed. The harvester was modeled as a Euler–Bernoulli beam, and the piezoelectric material was assumed to be linear. The bending vibration was calculated using the Rayleigh–Ritz procedure, and the frequency characteristics of the output voltage were analyzed under different preloading distances. It was found that changing the preloading of the spring helped reduce the natural frequency of the cantilever, which facilitated conversion of ambient low-frequency vibrations into electrical energy. Then, the characteristics of low frequency energy harvesting were investigated experimentally. The theoretical results were consistent with the experimental data; moreover, the resonance frequency, which changes with the preloading distance, reduced from 43 to 35 Hz when the preloading distance was increased from 0 to 1 mm. In this paper, an effective structure to control the resonant frequency is proposed and its motion equation stated. The structure has potential for applications in predicting the effect of preloading distance on resonance frequency.

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Stabilized node‐based smoothed radial point interpolation method for micromechanical analysis of the magneto‐electro‐elastic structures in thermal environment

Ren

Meng

et al. 2020

Math Methods in App Sciences

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In this paper, the stabilized node‐based smoothed radial point interpolation method (SNS‐RPIM) is combined with asymptotic homogenization method (AHM) to investigate the static and transient responses of magneto‐electro‐elastic (MEE) structures in thermal environment. Stabilization terms are applied to construct a “close‐to‐exact” stiffness for the model; the temporal instability is also cured. To study the microscopic multi‐physics coupling problems more accurately, the effective material parameters related to the volume fraction of fiber are obtained based on AHM. Through numerical calculation, it is confirmed that SNS‐RPIM could simulate the responses of MEE structures well when combined with AHM. Therefore, the combination of SNS‐RPIM and AHM has great potential in studying nanostructures including nanobeams, nanoplates, and nanotubes.

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A novel stabilized node-based smoothed radial point interpolation method (SNS-RPIM) for coupling analysis of magneto-electro-elastic structures in hygrothermal environment

Cited by 23 publications

References 55 publications

Dynamic analysis of magneto-electro-elastic nanostructures using node-based smoothed radial point interpolation method combined with micromechanics-based asymptotic homogenization technique

Dynamic analysis of magneto-electro-elastic nanostructures using node-based smoothed radial point interpolation method combined with micromechanics-based asymptotic homogenization technique

Piezoelectric generator with nonlinear structure

Stabilized node‐based smoothed radial point interpolation method for micromechanical analysis of the magneto‐electro‐elastic structures in thermal environment

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