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Engineering with Computers
Erschienen in: Engineering with Computers 4/2021

17.03.2020 | Original Article

Nonlinear thermo-mechanical response of temperature-dependent FG sandwich nanobeams with geometric imperfection

verfasst von: Han Wu, Hu Liu

Erschienen in: Engineering with Computers | Ausgabe 4/2021

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Abstract

In this paper, the nonlinear dynamic response of functionally graded (FG) sandwich nanobeam associated with temperature-dependent material properties by considering the initial geometric imperfection is investigated. The size-dependent behavior of the FG sandwich nanobeam is simulated based on the nonlocal strain gradient theory, and Von Karman nonlinear hypothesis is used to model the geometrical nonlinearity. Moreover, the geometric imperfection is considered as a slight curvature satisfying the first mode shape, and four different FG sandwich patterns including two asymmetric configurations and two symmetric configurations are taken into account. The governing equation of the FG sandwich nanobeam subjected to thermal and harmonic external excitation loadings is derived on the basis of Hamilton’s principle. The numerical results are obtained by employing the multiple-scale method, which are also validated by comparison with two previous studies. Furthermore, comprehensive investigations into the influences of size-dependent parameters, external temperature variation, geometric imperfection amplitude, gradient index and sandwich configuration on the nonlinear characteristics of imperfect FG sandwich nanobeams are conducted through numerical results.
Vorheriger Artikel Application of nonlocal strain–stress gradient theory and GDQEM for thermo-vibration responses of a laminated composite nanoshell
Nächster Artikel Numerical study of the one-dimensional coupled nonlinear sine-Gordon equations by a novel geometric meshless method

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Literatur
1.
Zenkour A (2005) A comprehensive analysis of functionally graded sandwich plates: part 2—buckling and free vibration. Int J Solids Struct 42:5243–5258MATH
2.
Do VNV, Lee C-H (2017) Thermal buckling analyses of FGM sandwich plates using the improved radial point interpolation mesh-free method. Compos Struct 177:171–186
3.
Meksi R, Benyoucef S, Mahmoudi A, Tounsi A, Adda Bedia EA, Mahmoud SR (2017) An analytical solution for bending, buckling and vibration responses of FGM sandwich plates. J Sandw Struct Mater 21:727–757
4.
Şimşek M, Al-shujairi M (2017) Static, free and forced vibration of functionally graded (FG) sandwich beams excited by two successive moving harmonic loads. Compos B Eng 108:18–34
5.
Tomar SS, Talha M (2019) Influence of material uncertainties on vibration and bending behaviour of skewed sandwich FGM plates. Compos B Eng 163:779–793
6.
Koizumi M, Niino M (1995) Overview of FGM research in Japan. MRS Bull 20:19–21
7.
Tu TM, Quoc TH, Van Long N (2019) Vibration analysis of functionally graded plates using the eight-unknown higher order shear deformation theory in thermal environments. Aerosp Sci Technol 84:698–711
8.
Shen H-S, Xiang Y, Fan Y, Hui D (2018) Nonlinear vibration of functionally graded graphene-reinforced composite laminated cylindrical panels resting on elastic foundations in thermal environments. Compos B Eng 136:177–186
9.
Shen H-S, Xiang Y, Lin F (2017) Nonlinear vibration of functionally graded graphene-reinforced composite laminated plates in thermal environments. Comput Methods Appl Mech Eng 319:175–193MathSciNetMATH
10.
Ni Y, Tong Z, Rong D, Zhou Z, Xu X (2018) Accurate thermal buckling analysis of functionally graded orthotropic cylindrical shells under the symplectic framework. Thin-Walled Struct 129:1–9
11.
Liu Y, Su S, Huang H, Liang Y (2019) Thermal–mechanical coupling buckling analysis of porous functionally graded sandwich beams based on physical neutral plane. Compos B Eng 168:236–242
12.
Zenkour AM, Alghamdi N (2008) Thermoelastic bending analysis of functionally graded sandwich plates. J Mater Sci 43:2574–2589
13.
Van Tung H (2017) Nonlinear thermomechanical response of pressure-loaded doubly curved functionally graded material sandwich panels in thermal environments including tangential edge constraints. J Sandw Struct Mater 20:974–1008
14.
Sid Ahmed Houari M, Tounsi A, Anwar Bég O (2013) Thermoelastic bending analysis of functionally graded sandwich plates using a new higher order shear and normal deformation theory. Int J Mech Sci 76:102–111
15.
Taibi FZ, Benyoucef S, Tounsi A, Bachir Bouiadjra R, Adda Bedia EA, Mahmoud SR (2014) A simple shear deformation theory for thermo-mechanical behaviour of functionally graded sandwich plates on elastic foundations. J Sandw Struct Mater 17:99–129
16.
Li D, Deng Z, Chen G, Xiao H, Zhu L (2017) Thermomechanical bending analysis of sandwich plates with both functionally graded face sheets and functionally graded core. Compos Struct 169:29–41
17.
Li D, Deng Z, Xiao H (2016) Thermomechanical bending analysis of functionally graded sandwich plates using four-variable refined plate theory. Compos B Eng 106:107–119
18.
Karami B, Janghorban M, Li L (2018) On guided wave propagation in fully clamped porous functionally graded nanoplates. Acta Astronaut 143:380–390
19.
20.
Hosseini M, Jamalpoor A, Bahreman M (2016) Small-scale effects on the free vibrational behavior of embedded viscoelastic double-nanoplate-systems under thermal environment. Acta Astronaut 129:400–409
21.
Lyu Z, Yang Y, Liu H (2020) High-accuracy hull iteration method for uncertainty propagation in fluid-conveying carbon nanotube system under multi-physical fields. Appl Math Model 79:362–380MathSciNetMATH
22.
Arvin H (2017) Free vibration analysis of micro rotating beams based on the strain gradient theory using the differential transform method: Timoshenko versus Euler–Bernoulli beam models. Eur J Mech A Solids 65:336–348MathSciNetMATH
23.
Wang Y, Ren H, Fu T, Shi C (2020) Hygrothermal mechanical behaviors of axially functionally graded microbeams using a refined first order shear deformation theory. Acta Astronaut 166:306–316
24.
25.
Eringen AC (1983) On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J Appl Phys 54:4703–4710
26.
Lim CW, Zhang G, Reddy JN (2015) A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation. J Mech Phys Solids 78:298–313MathSciNetMATH
27.
Li L, Hu Y (2016) Post-buckling analysis of functionally graded nanobeams incorporating nonlocal stress and microstructure-dependent strain gradient effects. Int J Mech Sci 120:159–170
28.
Li L, Hu Y (2016) Nonlinear bending and free vibration analyses of nonlocal strain gradient beams made of functionally graded material. Int J Eng Sci 107:77–97MathSciNetMATH
29.
She G-L, Ren Y-R, Yan K-M (2019) On snap-buckling of porous FG curved nanobeams. Acta Astronaut 161:475–484
30.
Barati MR, Shahverdi H (2017) Hygro-thermal vibration analysis of graded double-refined-nanoplate systems using hybrid nonlocal stress-strain gradient theory. Compos Struct 176:982–995
31.
Barati MR, Shahverdi H (2016) An analytical solution for thermal vibration of compositionally graded nanoplates with arbitrary boundary conditions based on physical neutral surface position. Mech Adv Mater Struct 24:840–853
32.
Nami MR, Janghorban M, Damadam M (2015) Thermal buckling analysis of functionally graded rectangular nanoplates based on nonlocal third-order shear deformation theory. Aerosp Sci Technol 41:7–15
33.
Ebrahimi F, Salari E (2015) Nonlocal thermo-mechanical vibration analysis of functionally graded nanobeams in thermal environment. Acta Astronaut 113:29–50
34.
Lv Z, Liu H (2018) Uncertainty modeling for vibration and buckling behaviors of functionally graded nanobeams in thermal environment. Compos Struct 184:1165–1176
35.
Čanađija M, Barretta R, de Sciarra FM (2016) On functionally graded Timoshenko nonisothermal nanobeams. Compos Struct 135:286–296
36.
Ebrahimi F, Barati MR (2017) Hygrothermal effects on vibration characteristics of viscoelastic FG nanobeams based on nonlocal strain gradient theory. Compos Struct 159:433–444
37.
Ebrahimi F, Barati MR (2017) A nonlocal strain gradient refined beam model for buckling analysis of size-dependent shear-deformable curved FG nanobeams. Compos Struct 159:174–182
38.
Ghayesh MH, Farokhi H (2016) Viscoelastically coupled size-dependent behaviour of imperfect extensible microbeams. Int J Mech Mater Des 13:569–581MATH
39.
Ghayesh MH, Farokhi H, Gholipour A (2017) Vibration analysis of geometrically imperfect three-layered shear-deformable microbeams. Int J Mech Sci 122:370–383
40.
Ghayesh MH, Farokhi H, Gholipour A, Tavallaeinejad M (2017) Dynamic characterisation of functionally graded imperfect Kirchhoff microplates. Compos Struct 179:720–731MATH
41.
Farokhi H, Ghayesh MH (2016) Nonlinear size-dependent dynamics of an imperfect shear deformable microplate. J Sound Vib 361:226–242
42.
Dehrouyeh-Semnani AM, Mostafaei H, Dehrouyeh M, Nikkhah-Bahrami M (2017) Thermal pre- and post-snap-through buckling of a geometrically imperfect doubly-clamped microbeam made of temperature-dependent functionally graded materials. Compos Struct 170:122–134MATH
43.
Sahmani S, Aghdam MM, Bahrami M (2015) On the postbuckling behavior of geometrically imperfect cylindrical nanoshells subjected to radial compression including surface stress effects. Compos Struct 131:414–424MATH
44.
Sahmani S, Bahrami M, Aghdam MM (2016) Surface stress effects on the nonlinear postbuckling characteristics of geometrically imperfect cylindrical nanoshells subjected to torsional load. Compos B Eng 84:140–154MATH
45.
Li L, Tang H, Hu Y (2017) Size-dependent nonlinear vibration of beam-type porous materials with an initial geometrical curvature. Compos Struct 184:1177–1188
46.
Liu H, Lv Z, Wu H (2019) Nonlinear free vibration of geometrically imperfect functionally graded sandwich nanobeams based on nonlocal strain gradient theory. Compos Struct 214:47–61
47.
Duc ND, Cong PH, Tuan ND, Tran P, Anh VM, Quang VD (2015) Nonlinear vibration and dynamic response of imperfect eccentrically stiffened shear deformable sandwich plate with functionally graded material in thermal environment. J Sandw Struct Mater 18:445–473
48.
Do VNV, Lee C-H (2019) Free vibration analysis of FGM plates with complex cutouts by using quasi-3D isogeometric approach. Int J Mech Sci 159:213–233
49.
Reddy J, Chin C (1998) Thermomechanical analysis of functionally graded cylinders and plates. J Therm Stress 21:593–626
50.
Duc ND, Quan TQ (2013) Nonlinear postbuckling of imperfect eccentrically stiffened P-FGM double curved thin shallow shells on elastic foundations in thermal environments. Compos Struct 106:590–600
51.
Ghayesh MH (2018) Functionally graded microbeams: Simultaneous presence of imperfection and viscoelasticity. Int J Mech Sci 140:339–350
52.
Li L, Tang H, Hu Y (2018) The effect of thickness on the mechanics of nanobeams. Int J Eng Sci 123:81–91MathSciNetMATH
53.
Tang H, Li L, Hu Y, Meng W, Duan K (2019) Vibration of nonlocal strain gradient beams incorporating Poisson's ratio and thickness effects. Thin-Walled Struct 137:377–391
54.
Chen W, Wang L, Dai H (2019) Nonlinear free vibration of nanobeams based on nonlocal strain gradient theory with the consideration of thickness-dependent size effect. J Mech Mater Struct 14:119–137MathSciNet
55.
Liu H, Wu H, Lyu Z (2020) Nonlinear resonance of FG multilayer beam-type nanocomposites: effects of graphene nanoplatelet-reinforcement and geometric imperfection. Aerosp Sci Technol 98:105702
56.
Ebrahimi F, Zia M (2015) Large amplitude nonlinear vibration analysis of functionally graded Timoshenko beams with porosities. Acta Astronaut 116:117–125
57.
Liu H, Lv Z, Tang H (2019) Nonlinear vibration and instability of functionally graded nanopipes with initial imperfection conveying fluid. Appl Math Model 76:133–150MathSciNetMATH
58.
Tang Y-g, Liu Y, Zhao D (2018) Effects of neutral surface deviation on nonlinear resonance of embedded temperature-dependent functionally graded nanobeams. Compos Struct 184:969–979
59.
Ebrahimi F, Salari E, Hosseini SAH (2016) In-plane thermal loading effects on vibrational characteristics of functionally graded nanobeams. Meccanica 51:951–977MathSciNetMATH
60.
Ansari R, Pourashraf T, Gholami R (2015) An exact solution for the nonlinear forced vibration of functionally graded nanobeams in thermal environment based on surface elasticity theory. Thin-Walled Struct 93:169–176
Metadaten
Titel
Nonlinear thermo-mechanical response of temperature-dependent FG sandwich nanobeams with geometric imperfection
verfasst von
Han Wu
Hu Liu
Publikationsdatum
17.03.2020
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 4/2021
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-020-01005-y

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