Abstract
Wave propagation simulation in a multi-hybrid nanocomposite (MHC)-reinforced doubly curved open shell covered with piezoelectric actuator is examined for the first time. The third-order shear deformation theory (third-order SDT) is applied to formulate the stress–strain relations. Rule of the mixture and modified Halpin–Tsai model are engaged to provide the effective material constants of the MHC-reinforced open shell. By employing Hamilton’s principle, the governing equations of the structure are derived. Via the compatibility rule, the bonding between the smart layer and sandwich open shell is modeled. Also, with the aid of Maxwell's equation, the mechanics of the piezoelectric layer are formulated. Afterward, a parametric study is carried out to investigate the effects of the CNTs’ weight fraction, various FG face sheet patterns, small radius to total thickness ratio, the thickness of the smart layer, externally applied voltage, and carbon fiber angle on the phase velocity of the MHC-reinforced open shell. Another necessary consequence is that as the externally applied voltage to the piezoelectric layer of the smart open shell increases, there will be seen an enhancement on the phase velocity or wave response of the system and without a doubt this issue is much more substantial at the lower wave number. It is also observed that when the applied voltage is more than zero, we can find a range for the fiber angle that these values are the critical fiber angle and this critical range will expand by increasing the external electrical load. The useful suggestion of this study is that for designing the structure, we should attention to the FG pattern and higher value of the wavenumber, simultaneously. The presented study outputs can be used in ultrasonic inspection techniques and structural health monitoring.
Similar content being viewed by others
References
Al-Furjan MSH, Habibi M, Jung DW, Sadeghi S, Safarpour H, Tounsi A et al (2020) A computational framework for propagated waves in a sandwich doubly curved nanocomposite panel. Eng Comput. https://doi.org/10.1007/s00366-020-01130-8
Mishra BP, Barik M (2019) NURBS-augmented finite element method for stability analysis of arbitrary thin plates. Eng Comput 35:351–362
Nguyen LB, Thai CH, Nguyen-Xuan H (2016) A generalized unconstrained theory and isogeometric finite element analysis based on Bézier extraction for laminated composite plates. Eng Comput 32:457–475
Civalek Ö (2009) Fundamental frequency of isotropic and orthotropic rectangular plates with linearly varying thickness by discrete singular convolution method. Appl Math Model 33:3825–3835
Ebrahimi F, Barati MR, Civalek Ö (2019) Application of Chebyshev-Ritz method for static stability and vibration analysis of nonlocal microstructure-dependent nanostructures. Eng Comput. https://doi.org/10.1007/s00366-019-00742-z
Akgöz B, Civalek Ö (2017) Effects of thermal and shear deformation on vibration response of functionally graded thick composite microbeams. Compos B Eng 129:77–87
Mercan K, Demir Ç, Civalek Ö (2016) Vibration analysis of FG cylindrical shells with power-law index using discrete singular convolution technique. Curved Layer Struct. https://doi.org/10.1515/cls-2016-0007
Civalek Ö, Uzun B, Yaylı MÖ, Akgöz B (2020) Size-dependent transverse and longitudinal vibrations of embedded carbon and silica carbide nanotubes by nonlocal finite element method. Eur Phys J Plus 135:381
Jrad H, Mars J, Wali M, Dammak F (2019) Geometrically nonlinear analysis of elastoplastic behavior of functionally graded shells. Eng Comput 35:833–847
Farhangi V, Karakouzian M, Geertsema M (2020) Effect of micropiles on clean sand liquefaction risk based on CPT and SPT. Appl Sci 10:3111
Farhangi V, Karakouzian M (2019) Design of bridge foundations using reinforced micropiles. In: Proceedings of the international road federation global R2T conference & expo, Las Vegas, pp 19–22
Oyarhossein M, Khiali V, Hosseinmostofi K, Adineh M, Bayatghiasi H (2019) Numerical study of the gap at the base of the bridge on the river flow parameters. Int J Sci Eng Appl. https://doi.org/10.7753/IJSEA0808.1001
Gao N-S, Guo X-Y, Cheng B-Z, Zhang Y-N, Wei Z-Y, Hou H (2019) Elastic wave modulation in hollow metamaterial beam with acoustic black hole. IEEE Access 7:124141–124146
Gao N, Wei Z, Zhang R, Hou H (2019) Low-frequency elastic wave attenuation in a composite acoustic black hole beam. Appl Acoust 154:68–76
Gao N, Zhang Y (2019) A low frequency underwater metastructure composed by helix metal and viscoelastic damping rubber. J Vib Control 25:538–548
Gao N, Hou H, Wu JH (2018) A composite and deformable honeycomb acoustic metamaterial. Int J Mod Phys B 32:1850204
Gao N, Wu JH, Yu L, Hou H (2016) Ultralow frequency acoustic bandgap and vibration energy recovery in tetragonal folding beam phononic crystal. Int J Mod Phys B 30:1650111
Tian X, Song Z, Wang J (2019) Study on the propagation law of tunnel blasting vibration in stratum and blasting vibration reduction technology. Soil Dyn Earthq Eng 126:105813
Mou B, Bai Y, Patel V (2020) Post-local buckling failure of slender and over-design circular CFT columns with high-strength materials. Eng Struct 210:110197
Guo C, Hu M, Li Z, Duan F, He L, Zhang Z et al (2020) Structural hybridization of bimetallic zeolitic imidazolate framework (ZIF) nanosheets and carbon nanofibers for efficiently sensing α-synuclein oligomers. Sens Actuators B Chem 309:127821
Mou B, Li X, Qiao Q, He B, Wu M (2019) Seismic behaviour of the corner joints of a frame under biaxial cyclic loading. Eng Struct 196:109316
Mou B, Zhao F, Qiao Q, Wang L, Li H, He B et al (2019) Flexural behavior of beam to column joints with or without an overlying concrete slab. Eng Struct 199:109616
Luo X, Guo J, Chang P, Qian H, Pei F, Wang W et al (2020) ZSM-5@ MCM-41 composite porous materials with a core-shell structure: adjustment of mesoporous orientation basing on interfacial electrostatic interactions and their application in selective aromatics transport. Sep Purif Technol 239:116516
Chen H, Zhang G, Fan D, Fang L, Huang L (2020) Nonlinear lamb wave analysis for microdefect identification in mechanical structural health assessment. Measurement. https://doi.org/10.1016/j.measurement.2020.108026
Chen S, Wang G, Zuo S, Yang C (2019) Experimental investigation on microstructure and permeability of thermally treated beishan granite. J Test Eval. https://doi.org/10.1520/JTE20180879
Farhangi V, Karakouzian M (2020) Effect of fiber reinforced polymer tubes filled with recycled materials and concrete on structural capacity of pile foundations. Appl Sci 10:1554
Moayedi H, Hayati S (2018) Applicability of a CPT-based neural network solution in predicting load-settlement responses of bored pile. Int J Geomech. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001125
Moayedi H, Hayati S (2018) Modelling and optimization of ultimate bearing capacity of strip footing near a slope by soft computing methods. Appl Soft Comput 66:208–219
Moayedi H, Rezaei A (2019) An artificial neural network approach for under-reamed piles subjected to uplift forces in dry sand. Neural Comput Appl 31:327–336.
Liu C, Yu J, Xu W, Zhang X, Zhang B (2020) Theoretical study of elastic wave propagation through a functionally graded micro-structured plate base on the modified couple-stress theory. Meccanica. https://doi.org/10.1007/s11012-020-01156-8
Ebrahimi F, Barati MR, Haghi P (2017) Thermal effects on wave propagation characteristics of rotating strain gradient temperature-dependent functionally graded nanoscale beams. J Therm Stress 40:535–547
Barati MR (2017) On wave propagation in nanoporous materials. Int J Eng Sci 116:1–11. https://doi.org/10.1016/j.ast.2020.105860
Gao W, Qin Z, Chu F (2020) Wave propagation in functionally graded porous plates reinforced with graphene platelets. Aerosp Sci Technol. https://doi.org/10.1177/1099636219848282
Safaei B, Moradi-Dastjerdi R, Qin Z, Behdinan K, Chu F (2019) Determination of thermoelastic stress wave propagation in nanocomposite sandwich plates reinforced by clusters of carbon nanotubes. J Sandw Struct Mater. https://doi.org/10.1016/j.tws.2019.106482
Bakhtiari M, Tarkashvand A, Daneshjou K (2020) Plane-strain wave propagation of an impulse-excited fluid-filled functionally graded cylinder containing an internally clamped shell. Thin-Walled Struct. https://doi.org/10.1080/17455030.2019.1694729
Ebrahimi F, Mohammadi K, Barouti MM, Habibi M (2019) Wave propagation analysis of a spinning porous graphene nanoplatelet-reinforced nanoshell. Waves Random Complex Media. https://doi.org/10.1080/15397734.2019.1666722
Ebrahimi F, Seyfi A (2019) Wave propagation response of multi-scale hybrid nanocomposite shell by considering aggregation effect of CNTs. Mech Based Des Struct Mach 1–22
Karami B, Shahsavari D, Janghorban M, Dimitri R, Tornabene F (2019) Wave propagation of porous nanoshells. Nanomaterials 9:22. https://doi.org/10.1016/j.apm.2020.01.016
Li C, Han Q, Wang Z, Wu X (2020) Analysis of wave propagation in functionally graded piezoelectric composite plates reinforced with graphene platelets. Appl Math Model. https://doi.org/10.1016/j.apm.2020.01.016
Ebrahimi F, Dabbagh A (2018) Thermo-magnetic field effects on the wave propagation behavior of smart magnetostrictive sandwich nanoplates. Eur Phys J Plus 133:97
Abad F, Rouzegar J (2019) Exact wave propagation analysis of moderately thick Levy-type plate with piezoelectric layers using spectral element method. Thin-Walled Struct 141:319–331
Habibi M, Mohammadgholiha M, Safarpour H (2019) Wave propagation characteristics of the electrically GNP-reinforced nanocomposite cylindrical shell. J Braz Soc Mech Sci Eng 41:221
Zhao X, Li D, Yang B, Ma C, Zhu Y, Chen H (2014) Feature selection based on improved ant colony optimization for online detection of foreign fiber in cotton. Appl Soft Comput 24:585–596
Wang M, Chen H (2020) Chaotic multi-swarm whale optimizer boosted support vector machine for medical diagnosis. Appl Soft Comput 88:105946
Zhao X, Zhang X, Cai Z, Tian X, Wang X, Huang Y et al (2019) Chaos enhanced grey wolf optimization wrapped ELM for diagnosis of paraquat-poisoned patients. Comput Biol Chem 78:481–490
Xu X, Chen H-L (2014) Adaptive computational chemotaxis based on field in bacterial foraging optimization. Soft Comput 18:797–807
Shen L, Chen H, Yu Z, Kang W, Zhang B, Li H et al (2016) Evolving support vector machines using fruit fly optimization for medical data classification. Knowl Based Syst 96:61–75
Wang M, Chen H, Yang B, Zhao X, Hu L, Cai Z et al (2017) Toward an optimal kernel extreme learning machine using a chaotic moth-flame optimization strategy with applications in medical diagnoses. Neurocomputing 267:69–84
Xu Y, Chen H, Luo J, Zhang Q, Jiao S, Zhang X (2019) Enhanced Moth-flame optimizer with mutation strategy for global optimization. Inf Sci 492:181–203
Chen H, Zhang Q, Luo J, Xu Y, Zhang X (2020) An enhanced bacterial foraging optimization and its application for training kernel extreme learning machine. Appl Soft Comput 86:105884
Tornabene F, Bacciocchi M, Fantuzzi N, Reddy J (2019) Multiscale approach for three-phase CNT/polymer/fiber laminated nanocomposite structures. Polym Compos 40:E102–E126
Karimiasl M, Ebrahimi F, Vinyas M (2019) Nonlinear vibration analysis of multiscale doubly curved piezoelectric composite shell in hygrothermal environment. J Intell Mater Syst Struct 30:1594–1609
Ghayesh MH (2019) Asymmetric viscoelastic nonlinear vibrations of imperfect AFG beams. Appl Acoust 154:121–128
Gholipour A, Ghayesh MH, Zhang Y (2020) A comparison between elastic and viscoelastic asymmetric dynamics of elastically supported AFG beams. Vibration 3:3–17
Gholipour A, Ghayesh MH, Hussain S (2020) A continuum viscoelastic model of Timoshenko NSGT nanobeams. Eng Comput. https://doi.org/10.1007/s00366-020-01017-8
Ghayesh MH (2019) Dynamical analysis of multilayered cantilevers. Commun Nonlinear Sci Numer Simul 71:244–253
Ghayesh MH, Farokhi H (2020) Extremely large dynamics of axially excited cantilevers. Thin Walled Struct. https://doi.org/10.1016/j.tws.2019.106275
Ghayesh MH (2018) Functionally graded microbeams: simultaneous presence of imperfection and viscoelasticity. Int J Mech Sci 140:339–350
Farokhi H, Ghayesh MH (2020) Extremely large-amplitude dynamics of cantilevers under coupled base excitation. Eur J Mech A/Solids 81:103953
Shariati A, Ghabussi A, Habibi M, Safarpour H, Safarpour M, Tounsi A et al (2020) Extremely large oscillation and nonlinear frequency of a multi-scale hybrid disk resting on nonlinear elastic foundation. Thin Walled Struct 154:106840
Al-Furjan M, Habibi M, Chen G, Safarpour H, Safarpour M, Tounsi A (2020) Chaotic simulation of the multi-phase reinforced thermo-elastic disk using GDQM. Eng Comput. https://doi.org/10.1007/s00366-020-01144-2
Al-Furjan M, Habibi M, Jung DW, Chen G, Safarpour M, Safarpour H (2020) Chaotic responses and nonlinear dynamics of the graphene nanoplatelets reinforced doubly-curved panel. Eur J Mech A/Solids. https://doi.org/10.1016/j.euromechsol.2020.104091
Al-Furjan M, Habibi M, Chen G, Safarpour H, Safarpour M, Tounsi A (2020) Chaotic oscillation of a multi-scale hybrid nano-composites reinforced disk under harmonic excitation via GDQM. Compos Struct. https://doi.org/10.1016/j.compstruct.2020.112737
Li J, Tang F, Habibi M (2020) Bi-directional thermal buckling and resonance frequency characteristics of a GNP-reinforced composite nanostructure. Eng Comput. https://doi.org/10.1007/s00366-020-01110-y
Al-Furjan M, Habibi M, Safarpour H (2020) Vibration control of a smart shell reinforced by graphene nanoplatelets. Int J Appl Mech. https://doi.org/10.1142/S1758825120500660
Shi X, Li J, Habibi M (2020) On the statics and dynamics of an electro-thermo-mechanically porous GPLRC nanoshell conveying fluid flow. Mech Based Des Struct Mach. https://doi.org/10.1080/15397734.2020.1772088
Habibi M, Safarpour M, Safarpour H (2020) Vibrational characteristics of a FG-GPLRC viscoelastic thick annular plate using fourth-order Runge-Kutta and GDQ methods. Mech Based Des Struct Mach. https://doi.org/10.1080/15397734.2020.1779086
Al-Furjan M, Safarpour H, Habibi M, Safarpour M, Tounsi A (2020) A comprehensive computational approach for nonlinear thermal instability of the electrically FG-GPLRC disk based on GDQ method. Eng Comput. https://doi.org/10.1007/s00366-020-01088-7
Reddy JN (2003) Mechanics of laminated composite plates and shells: theory and analysis. CRC Press, Boca Raton
Zhang X, Shamsodin M, Wang H, Noormohammadi Arani O, Khan AM, Habibi M et al (2020) Dynamic information of the time-dependent tobullian biomolecular structure using a high-accuracy size-dependent theory. J Biomol Struct Dyn. https://doi.org/10.1080/07391102.2020.1760939
Ghabussi A, Habibi M, Noormohammadi Arani O, Shavalipour A, Moayedi H, Safarpour H (2020) Frequency characteristics of a viscoelastic graphene nanoplatelet–reinforced composite circular microplate. J Vib Control. https://doi.org/10.1177/1077546320923930
Safarpour M, Ghabussi A, Ebrahimi F, Habibi M, Safarpour H (2020) Frequency characteristics of FG-GPLRC viscoelastic thick annular plate with the aid of GDQM. Thin Walled Struct 150:106683
Cheshmeh E, Karbon M, Eyvazian A, Jung D, Tran T, Habibi M et al (2020) Buckling and vibration analysis of FG-CNTRC plate subjected to thermo-mechanical load based on higher-order shear deformation theory. Mech Based Des Struct Mach. https://doi.org/10.1080/15397734.2020.1744005
Najaafi N, Jamali M, Habibi M, Sadeghi S, Jung DW, Nabipour N (2020) Dynamic instability responses of the substructure living biological cells in the cytoplasm environment using stress-strain size-dependent theory. J Biomol Struct Dyn. https://doi.org/10.1080/07391102.2020.1751297
Jermsittiparsert K, Ghabussi A, Forooghi A, Shavalipour A, Habibi M, Jung DW et al (2020) Critical voltage, thermal buckling and frequency characteristics of a thermally affected GPL reinforced composite microdisk covered with piezoelectric actuator. Mech Based Des Struct Mach. https://doi.org/10.1080/15397734.2020.1748052
Shariati A, Mohammad-Sedighi H, Żur KK, Habibi M, Safa M (2020) Stability and dynamics of viscoelastic moving rayleigh beams with an asymmetrical distribution of material parameters. Symmetry 12:586
Moayedi H, Darabi R, Ghabussi A, Habibi M, Foong LK (2020) Weld orientation effects on the formability of tailor welded thin steel sheets. Thin-Walled Struct 149:106669
Oyarhossein MA, Alizadeh AA, Habibi M, Makkiabadi M, Daman M, Safarpour H et al (2020) Dynamic response of the nonlocal strain-stress gradient in laminated polymer composites microtubes. Sci Rep 10:5616
Lori ES, Ebrahimi F, Supeni EEB, Habibi M, Safarpour H (2020) The critical voltage of a GPL-reinforced composite microdisk covered with piezoelectric layer. Eng Comput. https://doi.org/10.1007/s00366-020-01004-z
Moayedi H, Ebrahimi F, Habibi M, Safarpour H, Foong LK (2020) Application of nonlocal strain–stress gradient theory and GDQEM for thermo-vibration responses of a laminated composite nanoshell. Eng Comput. https://doi.org/10.1007/s00366-020-01002-1
Safarpour M, Ebrahimi F, Habibi M, Safarpour H (2020) On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk. Eng Comput. https://doi.org/10.1007/s00366-020-00949-5
Shokrgozar A, Ghabussi A, Ebrahimi F, Habibi M, Safarpour H (2020) Viscoelastic dynamics and static responses of a graphene nanoplatelets-reinforced composite cylindrical microshell. Mech Based Des Struct Mach. https://doi.org/10.1080/15397734.2020.1719509
Ebrahimi F, Supeni EEB, Habibi M, Safarpour H (2020) Frequency characteristics of a GPL-reinforced composite microdisk coupled with a piezoelectric layer. Eur Phys J Plus 135:144
Ebrahimi F, Hashemabadi D, Habibi M, Safarpour H (2019) Thermal buckling and forced vibration characteristics of a porous GNP reinforced nanocomposite cylindrical shell. Microsyst Technol. https://doi.org/10.1007/s00542-019-04542-9
Adamian A, Safari KH, Sheikholeslami M, Habibi M, Al-Furjan M, Chen G (2020) Critical temperature and frequency characteristics of gpls-reinforced composite doubly curved panel. Appl Sci 10:3251. https://doi.org/10.3390/app10093251
Shariati A, Habibi M, Tounsi A, Safarpour H, Safa M (2020) Application of exact continuum size‑dependent theory for stability and frequency analysis of a curved cantilevered microtubule by considering viscoelastic properties. Eng Comput
Shariati A, Mohammad-Sedighi H, Żur KK, Habibi M, Safa M (2020) On the vibrations and stability of moving viscoelastic axially functionally graded nanobeams. Materials 13:1707
Moayedi H, Habibi M, Safarpour H, Safarpour M, Foong L (2019) Buckling and frequency responses of a graphen nanoplatelet reinforced composite microdisk. Int J Appl Mech. https://doi.org/10.3390/app10093251
Eringen AC (2002) Nonlocal continuum field theories. Springer Science & Business Media
Ke L, Wang Y, Reddy J (2014) Thermo-electro-mechanical vibration of size-dependent piezoelectric cylindrical nanoshells under various boundary conditions. Compos Struct 116:626–636
Wang Q (2002) On buckling of column structures with a pair of piezoelectric layers. Eng Struct 24:199–205
Moayedi H, Aliakbarlou H, Jebeli M, Noormohammadiarani O, Habibi M, Safarpour H et al (2020) Thermal buckling responses of a graphene reinforced composite micropanel structure. Int J Appl Mech 12:2050010
Shokrgozar A, Safarpour H, Habibi M (2020) Influence of system parameters on buckling and frequency analysis of a spinning cantilever cylindrical 3D shell coupled with piezoelectric actuator. Proc Inst Mech Eng Part C J Mech Eng Sci 234:512–529
Ghabussi A, Ashrafi N, Shavalipour A, Hosseinpour A, Habibi M, Moayedi H et al (2019) Free vibration analysis of an electro-elastic GPLRC cylindrical shell surrounded by viscoelastic foundation using modified length-couple stress parameter. Mechanics Based Design of Structures and Machines, pp 1–25
Habibi M, Mohammadi A, Safarpour H, Ghadiri M (2019) Effect of porosity on buckling and vibrational characteristics of the imperfect GPLRC composite nanoshell. Mech Based Design Struct Mach. https://doi.org/10.1080/15397734.2019.1701490
Habibi M, Mohammadi A, Safarpour H, Shavalipour A, Ghadiri M (2019) Wave propagation analysis of the laminated cylindrical nanoshell coupled with a piezoelectric actuator. Mech Based Design Struct Mach. https://doi.org/10.1080/15397734.2019.1697932
Habibi M, Taghdir A, Safarpour H (2019) Stability analysis of an electrically cylindrical nanoshell reinforced with graphene nanoplatelets. Compos B Eng 175:107125
Mohammadgholiha M, Shokrgozar A, Habibi M, Safarpour H (2019) Buckling and frequency analysis of the nonlocal strain–stress gradient shell reinforced with graphene nanoplatelets. J Vib Control 25:2627–2640
Ebrahimi F, Habibi M, Safarpour H (2019) On modeling of wave propagation in a thermally affected GNP-reinforced imperfect nanocomposite shell. Engineering with Computers 35:1375–1389
Safarpour H, Hajilak ZE, Habibi M (2019) A size-dependent exact theory for thermal buckling, free and forced vibration analysis of temperature dependent FG multilayer GPLRC composite nanostructures restring on elastic foundation. Int J Mech Mater Des 15:569–583
Hashemi HR, Alizadeh AA, Oyarhossein MA, Shavalipour A, Makkiabadi M, Habibi M (2019) Influence of imperfection on amplitude and resonance frequency of a reinforcement compositionally graded nanostructure. Waves Random Complex Media. https://doi.org/10.1080/17455030.2019.1662968
Ghazanfari A, Soleimani SS, Keshavarzzadeh M, Habibi M, Assempuor A, Hashemi R (2019) Prediction of FLD for sheet metal by considering through-thickness shear stresses. Mech Based Des Struct Mach. https://doi.org/10.1080/15397734.2019.1662310
Hajilak ZE, Pourghader J, Hashemabadi D, Bagh FS, Habibi M, Safarpour H (2019) Multilayer GPLRC composite cylindrical nanoshell using modified strain gradient theory. Mech Based Des Struct Mach 47:521–545
Alipour M, Torabi MA, Sareban M, Lashini H, Sadeghi E, Fazaeli A et al (2019) Finite element and experimental method for analyzing the effects of martensite morphologies on the formability of DP steels. Mech Based Des Struct Mach. https://doi.org/10.1080/15397734.2019.1633343
Ebrahimi F, Hajilak ZE, Habibi M, Safarpour H (2019) Buckling and vibration characteristics of a carbon nanotube-reinforced spinning cantilever cylindrical 3D shell conveying viscous fluid flow and carrying spring-mass systems under various temperature distributions. Proc Inst Mech Eng Part C J Mech Eng Sci 233:4590–4605
Mohammadi A, Lashini H, Habibi M, Safarpour H (2019) Influence of viscoelastic foundation on dynamic behaviour of the double walled cylindrical inhomogeneous micro shell using MCST and with the aid of GDQM. J Solid Mech 11:440–453
Habibi M, Hashemabadi D, Safarpour H (2019) Vibration analysis of a high-speed rotating GPLRC nanostructure coupled with a piezoelectric actuator. Eur Phys J Plus 134:307
Pourjabari A, Hajilak ZE, Mohammadi A, Habibi M, Safarpour H (2019) Effect of porosity on free and forced vibration characteristics of the GPL reinforcement composite nanostructures. Comput Math Appl 77:2608–2626
Safarpour H, Pourghader J, Habibi M (2019) Influence of spring-mass systems on frequency behavior and critical voltage of a high-speed rotating cantilever cylindrical three-dimensional shell coupled with piezoelectric actuator. J Vib Control 25:1543–1557
Mahdi Alipour S, Mohammadi K, Mohammadi A, Habibi M, Safarpour H (2019) On dynamic of electro-elastic GNPRC cylindrical shell using modified length-couple stress parameter. Mech Based Des Struct Mach 1–20
Safarpour H, Ghanizadeh SA, Habibi M (2018) Wave propagation characteristics of a cylindrical laminated composite nanoshell in thermal environment based on the nonlocal strain gradient theory. Eur Phys J Plus 133:532
Hosseini S, Habibi M, Assempour A (2018) Experimental and numerical determination of forming limit diagram of steel-copper two-layer sheet considering the interface between the layers. Modares Mech Eng 18:174–181
Habibi M, Hashemi R, Ghazanfari A, Naghdabadi R, Assempour A (2018) Forming limit diagrams by including the M-K model in finite element simulation considering the effect of bending. Proc Inst Mech Eng Part L J Mater Des Appl 232:625–636
Fazaeli A, Shahbazi Karami J, Habibi M, Payganeh G (2018) Experimental and finite element investigation of titanium tubes hot gas forming and production of square cross-section specimens. Aerosp Mech J 14
Habibi M, Hashemi R, Tafti MF, Assempour A (2018) Experimental investigation of mechanical properties, formability and forming limit diagrams for tailor-welded blanks produced by friction stir welding. J Manuf Process 31:310–323
Habibi M, Ghazanfari A, Assempour A, Naghdabadi R, Hashemi R (2017) Determination of forming limit diagram using two modified finite element models. Mech Eng 48:141–144
Ghazanfari A, Assempour A, Habibi M, Hashemi R (2016) Investigation on the effective range of the through thickness shear stress on forming limit diagram using a modified Marciniak–Kuczynski model. Modares Mech Eng 16:137–143
Habibi M, Hashemi R, Sadeghi E, Fazaeli A, Ghazanfari A, Lashini H (2016) Enhancing the mechanical properties and formability of low carbon steel with dual-phase microstructures. J Mater Eng Perform 25:382–389
Fazaeli A, Habibi M, Ekrami A (2016) Experimental and finite element comparison of mechanical properties and formability of dual phase steel and ferrite-pearlite steel with the same chemical composition. Metall Eng 19(2):84–93
Safarpour H, Mohammadi K, Ghadiri M (2017) Temperature-dependent vibration analysis of a FG viscoelastic cylindrical microshell under various thermal distribution via modified length scale parameter: a numerical solution. J Mech Behav Mater 26:9–24
SafarPour H, Mohammadi K, Ghadiri M, Rajabpour A (2017) Influence of various temperature distributions on critical speed and vibrational characteristics of rotating cylindrical microshells with modified lengthscale parameter. Eur Phys J Plus 132:281
SafarPour H, Hosseini M, Ghadiri M (2017) Influence of three-parameter viscoelastic medium on vibration behavior of a cylindrical nonhomogeneous microshell in thermal environment: an exact solution. J Therm Stress 40:1353–1367
Ebrahimi F, Safarpour H (2018) Vibration analysis of inhomogeneous nonlocal beams via a modified couple stress theory incorporating surface effects. Wind Struct 27:431–438
Mohammadi K, Barouti MM, Safarpour H, Ghadiri M (2019) Effect of distributed axial loading on dynamic stability and buckling analysis of a viscoelastic DWCNT conveying viscous fluid flow. J Braz Soc Mech Sci Eng 41:93
Ebrahimi F, Dabbagh A (2019) Vibration analysis of multi-scale hybrid nanocomposite plates based on a Halpin-Tsai homogenization model. Compos B Eng 173:106955
Wattanasakulpong N, Chaikittiratana A (2015) Exact solutions for static and dynamic analyses of carbon nanotube-reinforced composite plates with Pasternak elastic foundation. Appl Math Model 39:5459–5472
Khdeir A (1988) Free vibration and buckling of symmetric cross-ply laminated plates by an exact method. J Sound Vib 126:447–461
Thinh TI, Nguyen MC, Ninh DG (2014) Dynamic stiffness formulation for vibration analysis of thick composite plates resting on non-homogenous foundations. Compos Struct 108:684–695
Funding
National Natural Science Foundation of China (51675148). The Outstanding Young Teachers Fund of Hangzhou Dianzi University (GK160203201002/003). National Natural Science Foundation of China (51805475). This research was supported by the 2020 scientific promotion funded by Jeju National University.
Author information
Authors and Affiliations
Corresponding authors
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Al-Furjan, M.S.H., Oyarhossein, M.A., Habibi, M. et al. Wave propagation simulation in an electrically open shell reinforced with multi-phase nanocomposites. Engineering with Computers 38 (Suppl 1), 629–645 (2022). https://doi.org/10.1007/s00366-020-01167-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00366-020-01167-9