Longitudinal–Transverse Vibration of a Functionally Graded Nanobeam Subjected to Mechanical Impact and Electromagnetic Actuation DOI Open Access
Nicolae Herişanu, Bogdan Marinca, Vasile Marinca

et al.

Symmetry, Journal Year: 2023, Volume and Issue: 15(7), P. 1376 - 1376

Published: July 6, 2023

This study addresses the nonlinear forced vibration of a functionally graded (FG) nanobeam subjected to mechanical impact and electromagnetic actuation. Two symmetrical actuators were present in model, their behaviors analyzed considering symmetry The model considered longitudinal–transverse simple supported Euler–Bernoulli beam, which accounted for von Kármán geometric nonlinearity, including first-order strain–displacement relationship. FG was made mixture metals ceramics, while volume fraction varied terms thickness when power law function used. nonlocal Eringen theory elasticity used nanobeam. governing equations associated boundary conditions gained using Hamilton’s principle. To truncate system with an infinite degree freedom, coupled discretized Galerkin–Bubnov approach. resulting nonlinear, ordinary differential equations, took into account curvature nanobeam, studied via Optimal Auxiliary Functions Method (OAFM). For this complex problem, explicit, analytical, approximate solution proposed near primary resonance. simultaneous effects following elements paper: presence curved nanobeam; transversal inertia, is not neglected paper; impact; proposes highly accurate analytical abovementioned conditions. Moreover, these conditions, local stability developed two variable expansion methods, Jacobian matrix Routh–Hurwitz criteria, global Lyapunov function.

Language: Английский

Moving load excited dynamics of multi-layered imperfect microplates based on various micromechanical models DOI Creative Commons
Behrouz Karami, Mergen H. Ghayesh

International Journal of Engineering Science, Journal Year: 2024, Volume and Issue: 197, P. 104017 - 104017

Published: Feb. 2, 2024

This paper presents an investigation into the importance of micromechanical models in analysis forced vibrations multi-layered microplates under a moving load. The microplate has core fabricated from functionally graded materials and face sheets consisting metal foam. problem is modelled via quasi-3D shear deformable method modified couple stress theory. study assumes that material follows power gradation pattern. Various models, i.e., Hashin-Shtrikman bounds, Voigt-Reuss-Hill, Voigt, Reuss, Tamura, are applied to estimate characteristics core. sheets, composed foams, possess closed- open-cell solid porosities. System's response time history type determined by numerically solving coupled motion equations obtained using force-moment balance method. A finite element conducted for simplified macroplate system, agreement between numerical results, proposed theoretical approach theory developed this paper, found be very good. results show influence mechanical properties layer, consequently impacting moving-load excited microsystem.

Language: Английский

Citations

29
Modelling issues and advances in nonlocal beams mechanics DOI Creative Commons
Raffaele Barretta, Raimondo Luciano, Francesco Marotti de Sciarra

et al.

International Journal of Engineering Science, Journal Year: 2024, Volume and Issue: 198, P. 104042 - 104042

Published: Feb. 20, 2024

Nonlocal continuum mechanics presents still open questions about applicability of integral constitutive theories to nanostructures current interest in Engineering Science. Nevertheless, nonlocal elasticity is widely exploited model size effects small-scale structures since it represents an effective tool avoid computationally expensive procedures. The known strain-driven approach proposed by Eringen has shown intrinsic incompatibility between and equilibrium requirements when applied structures. Such issue been acknowledged the scientific community merely for bounded continua. For structural problems defined unbounded domains, obstruction caused formulation a issue. present contribution definitely proves inapplicability spatial convolution proposes consistent both presented methodology based on stress-driven convolutions, representing key paradigm formulate well-posed theory effectively scale nanobeams applicative Nano-Mechanics.

Language: Английский

Citations

22
On mechanics of piezocomposite shell structures DOI Creative Commons
Mohammad Malikan

International Journal of Engineering Science, Journal Year: 2024, Volume and Issue: 198, P. 104056 - 104056

Published: March 12, 2024

This study presents an original and novel investigation into the mechanics of piezo-flexo-magneto-elastic nanocomposite doubly-curved shells (PFMDCSs) ability to detect lower higher levels electro-magnetic fields. In this context, by utilizing first-order shear deformation shell model, stresses strains are acquired. By imposing Hamilton's principle von Kármán approach, governing equations have been obtained. The intelligent model consists size-dependent influences, viz., strain gradients. will take place via Mindlin's gradient elasticity theory subsequent re-establishing mathematical framework incorporating concept. results in a flexoelectric/flexomagnetic effect. converse effect magnetic field on basis close circuit has assumed. developed bending transferred algebraic ones substituting analytical technique based homogeneous immovable simple support for four edges. problem solved according Newton-Raphson iteration scheme, transverse deflections computed. For researching rightness precision models together with solution process, comparison is prepared finite element method (FEM) simplified shells, good correlation observed. At last, examining several factors problem, conditions under which effects can be noticeable dominant sought. could serve as benchmark reference piezoceramic-DCSs, presented original. most interesting outcome research that response structures entirely geometry-dependent.

Language: Английский

Citations

15
On wave propagation in nanobeams DOI Creative Commons
Raffaele Barretta, Annalisa Iuorio, Raimondo Luciano

et al.

International Journal of Engineering Science, Journal Year: 2024, Volume and Issue: 196, P. 104014 - 104014

Published: Jan. 6, 2024

Wave propagation in Rayleigh nanobeams resting on nonlocal media is investigated this paper. Small-scale structure-foundation problems are formulated according to a novel consistent approach extending the special elastostatic analysis Barretta et al. (2022). Nonlocal effects of nanostructure modelled stress-driven integral law. External elasticity nano-foundation instead described by displacement-driven spatial convolution. The developed methodology leads well-posed continuum problems, thus circumventing issues and applicative difficulties Eringen–Wieghardt approach. interacting with nano-foundations then analysed dispersive features analytically detected exploiting strategy. Closed form expressions size-dependent dispersion relations established connection outcomes available literature contributed. A general provided address wave nanomechanical problems. Parametric studies finally accomplished discussed show length scale parameters characteristics small-scale systems current interest Nano-Engineering.

Language: Английский

Citations

10
Examination of the high-frequency behavior of functionally graded porous nanobeams using nonlocal simple higher-order shear deformation theory DOI
Mofareh Hassan Ghazwani, Ali Alnujaie, Mehmet Avcar

et al.

Acta Mechanica, Journal Year: 2024, Volume and Issue: 235(5), P. 2695 - 2714

Published: Feb. 7, 2024

Language: Английский

Citations

10
On analysis of nanocomposite conical structures DOI
Shahriar Dastjerdi, Ömer Cívalek, Mohammad Malikan

et al.

International Journal of Engineering Science, Journal Year: 2023, Volume and Issue: 191, P. 103918 - 103918

Published: July 2, 2023

Language: Английский

Citations

18
On torsion of FG elastic nanobeams on nonlocal foundations DOI Creative Commons
Raffaele Barretta, Raimondo Luciano, Francesco Marotti de Sciarra

et al.

Composite Structures, Journal Year: 2024, Volume and Issue: 340, P. 118146 - 118146

Published: April 24, 2024

A plethora of challenging nanomechanical applications deals with ultrasmall composite structures interacting nonlocal media. To capture size dependent behaviors, effective tools Nonlocal Continuum Mechanics can be conveniently adopted, provided that the relevant structural problem is well-posed. crucial improvement in modeling nanobeams on nanofoundations present work respect to formulation based Eringen–Wieghardt approach. Scale effects FG under torsion are effectively captured by exploiting consistent stress-driven integral theory elasticity. novel elastic foundations here introduced. Notably, constitutive behavior describing interaction between twisted and surrounding media modeled spatial convolution driven torsional rotation field. It shown governing mathematically represented an integro-differential formulation. An equivalent simpler differential then proven reduce computational burdens. Exemplar case-studies finally examined show efficacy developed methodology.

Language: Английский

Citations

8
An investigation on ensemble machine learning algorithms for nonlinear stability response of a two-dimensional FG nanobeam DOI
Aiman Tariq, Büşra Uzun, Babür Deliktaş

et al.

Journal of the Brazilian Society of Mechanical Sciences and Engineering, Journal Year: 2024, Volume and Issue: 46(9)

Published: Aug. 16, 2024

Language: Английский

Citations

7
Thermal buckling response of foam core smart sandwich nanoplates with electro-elastic and magneto-strictive layers DOI
Adem Fatih Ozalp, İsmail Esen

Acta Mechanica, Journal Year: 2024, Volume and Issue: unknown

Published: Nov. 29, 2024

Language: Английский

Citations

6
Free vibration analysis of functionally graded nanobeams based on surface stress-driven nonlocal model DOI
Luciano Feo, Giuseppe Lovisi, Rosa Penna

et al.

Mechanics of Advanced Materials and Structures, Journal Year: 2023, Volume and Issue: unknown, P. 1 - 9

Published: Dec. 7, 2023

A surface stress-driven nonlocal model is employed in this manuscript to study the coupled effects of long-range interaction and energy on free vibrations nano-beams made metal-ceramic functionally graded material. The nanobeam theory formulated based Bernoulli-Euler kinematics include elasticity, residual stresses, density rotary inertia. Hamilton's principle applied derive size-dependent governing equation. main results a parametric investigation, carried out considering four different kinematic boundary conditions, i.e. Cantilever, Simply-Supported, Clamped-Pinned Doubly-Clamped, are also presented discussed, varying parameter material gradient index. show how proposed able capture overall dynamic behavior nanobeams provides cost-effective method for design optimization nano-scaled structures.

Language: Английский

Citations

13