Nonlinear thermal vibration of functionally graded non-uniform and imperfect micro-tube including the porosity in the thermal environment for different cross-section DOI

Suxia Hou,

Shengbin Wu

Waves in Random and Complex Media, Journal Year: 2021, Volume and Issue: 34(5), P. 4632 - 4657

Published: Nov. 10, 2021

In producing small-scale structures, having nonuniform geometrics and voids as the generation defect is inevitable problem. However, in mathematical simulations, researchers have been more attentive to perfect uniform structures because of simple modeling. This article investigates nonlinear free vibrational behavior truncated conical imperfect functionally graded (FG) micro-scale tubes, including porosity, various cross-section functions. The modified couple stress theory Euler-Bernoulli beam coupled with Von-Kármán are employed based on Hamilton's principles derive general equation motion related boundary conditions. assumed basis four different functions, involving section, linear convex exponential section. temperature-dependent materials were combined by ceramic metal phases along tube radius that this combination made a tube. Furthermore, derived equations finally solved via generalized differential quadrature method (GDQM) numerical approach iteration technique. Since thermal fins, fluid flow diffuser, nozzle, etc., designed for specific purposes non-uniform cross-section, presented results an excellent sight developing designing macro/- micro-electromechanical systems (MEMS).

Language: Английский

Bending information and dynamic stability of the laminated axisymmetric nanoplate on the linear and torsional elastic substrate based on zigzag theory DOI
Weiyong Wang

Mechanics Based Design of Structures and Machines, Journal Year: 2023, Volume and Issue: 52(5), P. 2451 - 2479

Published: March 7, 2023

In the current work, for first time, bending and vibration information of axisymmetric thick annular nanoplate made laminated composite layers is studied. The structure placed on Winkler-Pasternak substrate with elastic tortional coefficients. Initial stress as an external load also considered in structure. For modeling mechanical deformation layer-wise materials, zigzag theory that its functions themselves are continues interface presented. By coupled quasi-3D new refined (Q3D-NRT) nonlocal strain gradient used obtaining nonclassical governing equations a general boundary condition nanoplate. Also, static dynamic nanostructure, Hamilton's, Minimum total potential energy principles used, respectively. Via differential quadrature method weighting factors nth-order derivative, aid size-dependent conditions solved. comparing results outputs previous reports, accuracy shown.

Language: Английский

Citations

1
Capability of energy harvesting in cantilever piezoelectric-actuated arch structures via highly accurate semi numerical method DOI
Jian-Feng Wen

Mechanics of Advanced Materials and Structures, Journal Year: 2023, Volume and Issue: 31(26), P. 8085 - 8094

Published: Sept. 19, 2023

AbstractThe use of nanoscale arch structures in vibration detection has become popular due to their ability capture resonance two independent directions. This study investigates the behavior a small-scale cantilever curved beam structure made functionally graded carbon nanotube reinforced nanocomposite core and piezoelectric surface layers on viscoelastic substrate. The convert motion into electrical signals, allowing for harvesting high-frequency motions delicate manner. Various theories, including first-order shear deformation theory, strain gradient nonlocal are used mechanical properties FG at both nano- micro-scales. equations natural boundary conditions derived using Hamilton's principle solved Akbari-Ganji's method. An artificial intelligence method is also presented simplify solution procedure calculate numerical results based important parameters vibrational analysis. demonstrates significance substrate volume fraction CNT composite frequency analysis structure, as shown by AI methods.Keywords: Composite structurescantilever beamHamilton's principlepiezoelectricnonlocal theoryartificial intelligenceAkbari-Ganji's Disclosure statementNo potential conflict interest was reported author(s).

Language: Английский

Citations

1
Some improvements on the energy absorbed in composite plate resting on the viscoelastic substrate DOI
Huimin Xie, Gongxing Yan

Mechanics Based Design of Structures and Machines, Journal Year: 2022, Volume and Issue: 51(11), P. 6056 - 6075

Published: Feb. 8, 2022

The vibration, as well energy of a reinforced three-phase hybrid composite plate resting on viscoelastic foundation subjected to initial stress, is examined with the aid three-dimensional elasticity theory. two-parameter Winkler–Pasternak formulated. multilayer three, five, and seven layers are modeled compatibility conditions. state-space-based analytical method utilized solution procedure extract results. To attain material properties, rule mixture alongside modified Halpin–Tsai model incorporated. distribution carbon nanotubes supposed be nonuniform. parametric examination impacts sequence layers, stresses, coefficients, nanocomposite related constants vibration frequency stored in system carried out. extracted results indicate that stresses parameters play significant role determining value along system.

Language: Английский

Citations

2
Green–Naghdi generalized thermoelasticity of FG-GPLRC layer under thermal shock with viscosity effects DOI
Guoliang Liu,

Hongzhi Zhao,

Chengwen Liu

et al.

Waves in Random and Complex Media, Journal Year: 2022, Volume and Issue: unknown, P. 1 - 25

Published: March 1, 2022

This research deals with the generalized thermoelasticity of a one-dimensional domain viscosity effects. It is considered that epoxy layer reinforced by graphene platelets (GPL). The distribution pattern GPLs along founded on functionally graded power law. homogenization procedure material properties based second-order correlation rules which take into account particles' size and shape property modeled Kelvin–Voigt assumption parameter. Green–Nghdi theory, includes three types models, utilized to achieve coupled energy equation. Highly partially differential motion equations are solved implementing quadrature Newmark methods. constant average acceleration strategy most well-known type method used. influences law index, GPL weight fraction, thermal damping speed coefficient, factor temporal evaluation temperature, longitudinal displacement, axial stress investigated.

Language: Английский

Citations

2
Nonlinear thermal vibration of functionally graded non-uniform and imperfect micro-tube including the porosity in the thermal environment for different cross-section DOI

Suxia Hou,

Shengbin Wu

Waves in Random and Complex Media, Journal Year: 2021, Volume and Issue: 34(5), P. 4632 - 4657

Published: Nov. 10, 2021

In producing small-scale structures, having nonuniform geometrics and voids as the generation defect is inevitable problem. However, in mathematical simulations, researchers have been more attentive to perfect uniform structures because of simple modeling. This article investigates nonlinear free vibrational behavior truncated conical imperfect functionally graded (FG) micro-scale tubes, including porosity, various cross-section functions. The modified couple stress theory Euler-Bernoulli beam coupled with Von-Kármán are employed based on Hamilton's principles derive general equation motion related boundary conditions. assumed basis four different functions, involving section, linear convex exponential section. temperature-dependent materials were combined by ceramic metal phases along tube radius that this combination made a tube. Furthermore, derived equations finally solved via generalized differential quadrature method (GDQM) numerical approach iteration technique. Since thermal fins, fluid flow diffuser, nozzle, etc., designed for specific purposes non-uniform cross-section, presented results an excellent sight developing designing macro/- micro-electromechanical systems (MEMS).

Language: Английский

Citations

2