The current work suggests a mathematical model for the dynamic response of sandwich concrete foundation with nano-fiber reinforced polymer (NFRP) layers at the top and bottom face sheets subjected to a blast load. The facesheets are reinforced by carbon nano-fibers where the equivalent material properties of the nanocomposite layers are obtained using Mori-Tanaka model considering agglomeration effects. The Kelvin-Voigt model is employed to consider the viscoelastic properties of the structure. The sandwich structure is rested on a soil foundation which is modeled by spring element. Based on refined zigzag theory, energy method and Hamilton’s principle, the motion equations are derived. The differential quadrature method in conjunction with Newmark method is utilized for obtaining the dynamic deflection of the structure for different boundary conditions. The effects of various parameters such as blast load, soil foundation, structural damping, volume fraction of carbon nano-fibers, NFRP layer, geometrical parameters of the structure are considered on the dynamic deflection of the structure. The results show that the NFRP layer can improve the resistance of the concrete foundation with respect to blast load.
WilkinsDJBertCWEgleDM.Free vibrations of orthotropic sandwich conical shells with various boundary conditions. J. Sound Vib1970;
13: 211–228.
2.
WangZXShenHS.Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets. Compos Part B: Eng2012;
43: 411–421.
3.
ShenHSZhuZH.Postbuckling of sandwich plates with nanotube-reinforced composite face sheets resting on elastic foundations. Eur J Mech – A/Solids2012;
35: 10–21.
4.
BorbónFDAmbrosiniD.Dynamic response of composites sandwich plates with carbon nanotubes subjected to blast loading. Compos Part B: Eng2013;
45: 466–473.
5.
ShenHSWangHYangDQ.Vibration of thermally postbuckled sandwich plates with nanotube-reinforced composite face sheets resting on elastic foundations. Int J Mech Sci2017;
124–125: 253–262.
6.
KolahchiRKeshtegarB, MH and Fakhar. Optimization of dynamic buckling for sandwich nanocomposite plates with sensor and actuator layer based on sinusoidal visco-piezoelasticity theories using Grey Wolf algorithm. J Sandw Struct Mat2017; In press. DOI: https://doi.org/10.1177/1099636217731071.
7.
Suresh KumarRKundalwalSIRayMC.Control of large amplitude vibrations of doubly curved sandwich shells composed of fuzzy fiber reinforced composite facings. Aerosp Sci Technol2017;
70: 10–28.
8.
KolahchiRZareiMSHajmohammadMH, et al.
Wave propagation of embedded viscoelastic FG-CNT-reinforced sandwich plates integrated with sensor and actuator based on refined Zigzag theory. Int J Mech Sci2017;
130: 534–545.
9.
ZareiMSAzizkhaniMBHajmohammadMH, et al. Dynamic buckling of polymer-CNT-fiber multiphase nanocomposite viscoelastic laminated conical shells in hygrothermal environments. J Sandw Struct Mat2017; In press. DOI: https://doi.org/10.1177/1099636217743288.
10.
HajmohammadMHZareiMSNouriA, et al. Dynamic buckling of sensor/functionally graded-carbon nanotubes reinforced laminated plates/actuator based on sinusoidal-visco piezoelasticity theories. J Sandw Struct Mat2017; In press. DOI: https://doi.org/10.1177/1099636217720373.
11.
KatariyaPVPandaSK. Numerical evaluation of transient deflection and frequency responses of sandwich shell structure using higher order theory and different mechanical loadings. Eng Comp2018; In press. DOI: https://doi.org/10.1007/s00366-018-0646-y.
12.
ZhangXCDingHMAnLQ, et al.
Numerical investigation on dynamic crushing behavior of auxetic honeycombs with various cell-wall angles. Adv Mech Eng2014;
7: 1–14.
ZhangXYangD.Mechanical properties of auxetic cellular material consisting of re-entrant hexagonal honeycombs. Materials (Basel)2016;
9: 900
15.
BoldrinLHummelSScarpaF, et al.
Dynamic behaviour of auxetic gradient composite hexagonal honeycombs. Compos Struct2016;
149: 114–124.
16.
DucNDSeung-EockKCongPH, et al.
Dynamic response and vibration of composite double curved shallow shells with negative Poisson's ratio in auxetic honeycombs core layer on elastic foundations subjected to blast and damping loads. Int J Mech Sci2017;
133: 504–512.
17.
DucNDSeung-EockKTuanND, et al.
New approach to study nonlinear dynamic response and vibration of sandwich composite cylindrical panels with auxetic honeycomb core layer. Aerosp Sci Technol2017;
70: 396–404.
18.
DucNDTranQQNguyenDK.New approach to investigate nonlinear dynamic response and vibration of imperfect functionally graded carbon nanotube reinforced composite double curved shallow shells subjected to blast load and temperature. Aerosp Sci Technol2017;
71: 360–372.
19.
DucNDCongPH. Nonlinear dynamic response and vibration of sandwich composite plates with negative Poisson’s ratio in auxetic honeycombs. J Sandw Struct Mat2017; In press. DOI: https://doi.org/10.1177/1099636216674729.
20.
HajmohammadMHNouriAH, MSet al. A new numerical approach and visco-refined zigzag theory for blast analysis of auxetic honeycomb plates integrated by multiphase nanocomposite facesheets in hygrothermal environment. Eng Comp2018; Zarei, In press. DOI: https://doi.org/10.1007/s00366-018-0655-x.
21.
TesslerASciuvaMDGherloneM.A consistent refinement of first-order shear deformation theory for laminated composite and sandwich plates using improved zigzag kinematics. JOMMS2010;
5: 341–362.
22.
EbrahimiFHabibiS. Nonlinear eccentric low-velocity impact response of polymer-CNT-fiber multi scale nanocomposite plate resting on elastic foundations in hygrothermal environments. Mech Advan Mat Struct2017; In press. DOI: https://doi.org/10.1080/15376494.2017.1285453.
23.
ChetanSJ.Micromechanics and modelling of adaptive shape memory composites. USA: Lambert, 2012
24.
ManmohanDGVasantAMatsagarA, et al.
Dynamic responses of stiffened plates under air blast. Int J Protect Struct2011;
2: 139–155.
25.
KadidA.Stiffened plates subjected to uniform loading. J Civil Eng Manag2010;
14: 155–161.
26.
VasilisKSolomosG.Calculation of blast loads for application to structural components.
Luxembourg:
Publications Office of the European Union, 2013, 58pp.
27.
LakesR.Viscoelastic materials.
New York:
Cambridge University Press, 2009.
28.
KolahchiRHosseiniHEsmailpourM.Differential cubature and quadrature-Bolotin methods for dynamic stability of embedded piezoelectric nanoplates based on visco-nonlocal-piezoelasticity theories. Compos Struct2016;
157: 174–186.
29.
SimsekM.Non-linear vibration analysis of a functionally graded Timoshenko beam under action of a moving harmonic load.Compos Struct2010;
92: 2532–2546.
30.
MohammadzadehBNohHC.Analytical method to investigate nonlinear dynamic responses of sandwich plates with FGM faces resting on elastic foundation considering blast loads. Compos Struct2017;
174: 142–157.
31.
BowlesJE.Foundation analysis and design.
New York:
McGraw-Hill, 1988.
