Steel and Composite Structures

  • 제22권4호
  • /
  • Pages.889-913
  • /
  • 2016
  • /
  • 1229-9367(pISSN)
  • /
  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Differential cubature method for vibration analysis of embedded FG-CNT-reinforced piezoelectric cylindrical shells subjected to uniform and non-uniform temperature distributions

  • Madani, Hamid (Young Researcher and Elite Club, Jasb Branch, Islamic Azad University) ;
  • Hosseini, Hadi (Department of Civil Engineering, Khomein Branch, Islamic Azad University) ;
  • Shokravi, Maryam (Buein Zahra Technical University)
  • 투고 : 2016.06.28
  • 심사 : 2016.11.04
  • 발행 : 2016.11.20
⟨ 이전 논문 다음 논문 ⟩

초록

Vibration analysis of embedded functionally graded (FG)-carbon nanotubes (CNT)-reinforced piezoelectric cylindrical shell subjected to uniform and non-uniform temperature distributions are presented. The structure is subjected to an applied voltage in thickness direction which operates in control of vibration behavior of system. The CNT reinforcement is either uniformly distributed or functionally graded (FG) along the thickness direction indicated with FGV, FGO and FGX. Effective properties of nano-composite structure are estimated through Mixture low. The surrounding elastic foundation is simulated with spring and shear constants. The material properties of shell and elastic medium constants are assumed temperature-dependent. The motion equations are derived using Hamilton's principle applying first order shear deformation theory (FSDT). Based on differential cubature (DC) method, the frequency of nano-composite structure is obtained for different boundary conditions. A detailed parametric study is conducted to elucidate the influences of external applied voltage, elastic medium type, temperature distribution type, boundary conditions, volume percent and distribution type of CNT are shown on the frequency of system. In addition, the mode shapes of shell for the first and second modes are presented for different boundary conditions. Numerical results indicate that applying negative voltage yields to higher frequency. In addition, FGX distribution of CNT is better than other considered cases.

키워드

참고문헌

  1. Alibeigloo, A. (2013), "Static analysis of functionally graded carbon nanotube-reinforced composite plate embedded in piezoelectric layers by using theory of elasticity", Compos. Struct., 95, 612-622. https://doi.org/10.1016/j.compstruct.2012.08.018
  2. Alibeigloo, A. and Nouri, V. (2010), "Static analysis of functionally graded cylindrical shell with piezoelectric layers using differential quadrature method", Compos. Struct., 92(8), 1775-1785. https://doi.org/10.1016/j.compstruct.2010.02.004
  3. Bodaghi, M. and Shakeri, M. (2012), "An analytical approach for free vibration and transient response of functionally graded piezoelectric cylindrical panels subjected to impulsive loads", Compos. Struct., 94(5), 1721-1735. https://doi.org/10.1016/j.compstruct.2012.01.009
  4. Jinhua, Y., Jie, Y. and Kitipornchai, S. (2013), "Dynamic stability of piezoelectric laminated cylindrical shells with delamination", J. Intel. Mater. Syst. Struct., 24, 1770-1781. https://doi.org/10.1177/1045389X13486710
  5. Kolahchi, R., Safari, M. and Esmailpour, M. (2016a), "Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium", Compos. Struct., 150, 255-265. https://doi.org/10.1016/j.compstruct.2016.05.023
  6. Kolahchi, R., Hosseini, H. and Esmailpour, M. (2016b), "Differential cubature and quadrature-Bolotin methods for dynamic stability of embedded piezoelectric nanoplates based on visco-nonlocalpiezoelasticity theories", Compos. Struct., 157, 174-186. https://doi.org/10.1016/j.compstruct.2016.08.032
  7. Lei, Z.X., Zhang, L.W., Liew, K.M. and Yu, J.L. (2014), "Dynamic stability analysis of carbonnanotubereinforced functionally graded cylindrical panels using the element-free kp-Ritz method", Compos. Struct., 113, 328-338,. https://doi.org/10.1016/j.compstruct.2014.03.035
  8. Lei, Z.X., Zhang, L.W. and Liew, K.M. (2015a), "Free vibration analysis of laminated FG-CNT reinforced composite rectangular plates using the kp-Ritz method", Compos. Struct., 127, 245-259. https://doi.org/10.1016/j.compstruct.2015.03.019
  9. Lei, Z.X., Zhang, L.W. and Liew, K.M. (2015b), "Elastodynamic analysis of carbon nanotube-reinforced functionally graded plates", Int. J. Mech. Sci., 99, 208-217. https://doi.org/10.1016/j.ijmecsci.2015.05.014
  10. Lei, Z.X., Zhang, L.W. and Liew, K.M. (2016), "Analysis of laminated CNT reinforced functionally graded plates using the element-free kp-Ritz method", Compos. Part B: Eng., 84, 211-221. https://doi.org/10.1016/j.compositesb.2015.08.081
  11. Liew, K.M., Lei, Z.X., Yu, J.L. and Zhang, L.W. (2014), "Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach", Comput. Methods Appl. Mech. Eng., 268, 1-17. https://doi.org/10.1016/j.cma.2013.09.001
  12. Liu, C., Ke, L.L., Wang, Y.S., Yang, J. and Kitipornchai, S. (2013), "Thermo-electromechanical vibration of piezoelectric nanoplates based on the nonlocal theory", Compos. Struct., 106, 167-174. https://doi.org/10.1016/j.compstruct.2013.05.031
  13. Nanda, N. and Nath, Y. (2012), "Active control of delaminated composite shells with piezoelectric sensor/actuator patches", Struct. Eng. Mech., Int. J., 42(2), 211-228. https://doi.org/10.12989/sem.2012.42.2.211
  14. Rajesh Bhangale, K. and Ganesan, N. (2005), "Free vibration studies of simply supported nonhomogeneous functionally graded magneto- electro-elastic finite cylindrical shells", J. Sound Vib., 23(1-2), 412-422.
  15. Reddy, J.N. (2002), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, Second Edition, CRC Press.
  16. Shen, H. (2005), "Postbuckling of FGM plates with piezoelectric actuators under thermo-electro-mechanical loadings", Int. J. Solids Struct., 42(23), 6101-6121. https://doi.org/10.1016/j.ijsolstr.2005.03.042
  17. Shen, H. (2009), "Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments", Compos. Struct., 91(1), 9-19. https://doi.org/10.1016/j.compstruct.2009.04.026
  18. Shen, H. and Chen, Zh. (2011), "Nonlocal beam model for nonlinear analysis of carbon nanotubes on elastomeric substrates", Comput. Mat. Sci., 50(3), 1022-1029. https://doi.org/10.1016/j.commatsci.2010.10.042
  19. Sheng, G.G. and Wang, X. (2009a), "Active control of functionally graded laminated cylindrical shells", Compos. Struct., 90(4), 448-457. https://doi.org/10.1016/j.compstruct.2009.04.017
  20. Sheng, G.G. and Wang, X. (2009b), "Studies on dynamic behavior of functionally graded cylindrical shells with PZT layers under moving loads", J. Sound Vib., 323(3-5), 772-789. https://doi.org/10.1016/j.jsv.2009.01.017
  21. Sheng, G.G. and Wang, X. (2010), "Thermoelastic vibration and buckling analysis of functionally graded piezoelectric cylindrical shells", Appl. Math. Model., 34(9), 2630-2643. https://doi.org/10.1016/j.apm.2009.11.024
  22. Tiersten, H.F. (1969), "Linear Piezoelectric Plate Vibrations", Plenum Press, New York.
  23. Yaqoob Yasin, M. and Kapuria, S. (2014), "An efficient finite element with layerwise mechanics for smart piezoelectric composite and sandwich shallow shells", Comput. Mech., 53(1), 101-124. https://doi.org/10.1007/s00466-013-0896-x
  24. Zhang, L.W. and Liew, K.M. (2015a), "Large deflection analysis of FG-CNT reinforced composite skew plates resting on Pasternak foundations using an element-free approach", Compos. Struct., 132, 974-993. https://doi.org/10.1016/j.compstruct.2015.07.017
  25. Zhang, L.W. and Liew, K.M. (2015b), "Geometrically nonlinear large deformation analysis of functionally graded carbon nanotube reinforced composite straight-sided quadrilateral plates", Comput. Meth. Appl. Mech. Eng., 295, 219-239. https://doi.org/10.1016/j.cma.2015.07.006
  26. Zhang, L.W. and Liew, K.M. (2016a), "Element-free geometrically nonlinear analysis of quadrilateral functionally graded material plates with internal column supports", Compos. Struct., 147, 99-110. https://doi.org/10.1016/j.compstruct.2016.03.034
  27. Zhang, L.W. and Liew, K.M. (2016b), "Postbuckling analysis of axially compressed CNT reinforced functionally graded composite plates resting on Pasternak foundations using an element-free approach", Compos. Struct., 138, 40-51. https://doi.org/10.1016/j.compstruct.2015.11.031
  28. Zhang, L.W., Zhu, P. and Liew, K.M. (2014a), "Thermal buckling of functionally graded plates using a local Kriging meshless method", Compos. Struct., 108, 472-492. https://doi.org/10.1016/j.compstruct.2013.09.043
  29. Zhang, L.W., Lei, Z.X., Liew, K.M. and Yu, J.L. (2014b), "Large deflection geometrically nonlinear analysis of carbon nanotube-reinforced functionally graded cylindrical panels", Comput. Methods Appl. Mech. Eng., 273, 1-18. https://doi.org/10.1016/j.cma.2014.01.024
  30. Zhang, L.W., Lei, Z.X., Liew, K.M. and Yu, J.L. (2014c), "Static and dynamic of carbon nanotube reinforced functionally graded cylindrical panels", Compos. Struct., 111, 205-212,. https://doi.org/10.1016/j.compstruct.2013.12.035
  31. Zhang, L.W., Li, D.M. and Liew, K.M. (2015a), "An element-free computational framework for elastodynamic problems based on the IMLS-Ritz method", Eng. Anal. Bound. Elem., 54, 39-46. https://doi.org/10.1016/j.enganabound.2015.01.007
  32. Zhang, L.W., Huang, D. and Liew, K.M. (2015b), "An element-free IMLS-Ritz method for numerical solution of three-dimensional wave equations", Comput. Meth. Appl. Mech. Eng., 297, 116-139. https://doi.org/10.1016/j.cma.2015.08.018
  33. Zhang, Sh., Schmidt, R. and Qin, X. (2015c), "Active vibration control of piezoelectric bonded smart structures using PID algorithm", Chin. J. Aero., 28(1), 305-313. https://doi.org/10.1016/j.cja.2014.12.005
  34. Zhang, L.W., Song, Z.G. and Liew, K.M. (2015d), "State-space Levy method for vibration analysis of FGCNT composite plates subjected to in-plane loads based on higher-order shear deformation", Compos. Struct., 134, 989-1003. https://doi.org/10.1016/j.compstruct.2015.08.138
  35. Zhang, L.W., Lei, Z.X. and Liew, K.M. (2015e), "Buckling analysis of FG-CNT reinforced composite thick skew plates using an element-free approach", Compos. Part B: Eng., 75, 36-46. https://doi.org/10.1016/j.compositesb.2015.01.033
  36. Zhang, L.W., Song, Z.G. and Liew, K.M. (2015f), "Nonlinear bending analysis of FG-CNT reinforced composite thick plates resting on Pasternak foundations using the element-free IMLS-Ritz method", Compos. Struct., 128, 165-175. https://doi.org/10.1016/j.compstruct.2015.03.011
  37. Zhang, L.W., Cui, W.C. and Liew, K.M. (2015g), "Vibration analysis of functionally graded carbon nanotube reinforced composite thick plates with elastically restrained edges", Int. J. Mech. Sci., 103, 9-21. https://doi.org/10.1016/j.ijmecsci.2015.08.021
  38. Zhang, L.W., Lei, Z.X. and Liew, K.M. (2015h), "Free vibration analysis of functionally graded carbon nanotube-reinforced composite triangular plates using the FSDT and element-free IMLS-Ritz method", Compos. Struct., 120, 189-199. https://doi.org/10.1016/j.compstruct.2014.10.009
  39. Zhang, L.W., Liew, K.M. and Jiang, Z. (2016a), "An element-free analysis of CNT-reinforced composite plates with column supports and elastically restrained edges under large deformation", Compos. Part B: Eng., 95, 18-28. https://doi.org/10.1016/j.compositesb.2016.03.078
  40. Zhang, L.W., Liew, K.M. and Reddy, J.N. (2016b), "Postbuckling behavior of bi-axially compressed arbitrarily straight-sided quadrilateral functionally graded material plates", Comput. Meth. Appl. Mech. Eng., 300, 593-610. https://doi.org/10.1016/j.cma.2015.11.030
  41. Zhang, L.W., Liew, K.M. and Reddy, J.N. (2016c), "Postbuckling of carbon nanotube reinforced functionally graded plates with edges elastically restrained against translation and rotation under axial compression", Comput. Meth. Appl. Mech. Eng., 298, 1-28. https://doi.org/10.1016/j.cma.2015.09.016
  42. Zhang, L.W., Liew, K.M. and Reddy, J.N. (2016d), "Postbuckling analysis of bi-axially compressed laminated nanocomposite plates using the first-order shear deformation theory", Compos. Struct., 152, 418-431. https://doi.org/10.1016/j.compstruct.2016.05.040
  43. Zhang, L.W., Song, Z.G. and Liew, K.M. (2016e), "Computation of aerothermoelastic properties and active flutter control of CNT reinforced functionally graded composite panels in supersonic airflow", Comput. Meth. Appl. Mech. Eng., 300, 427-441. https://doi.org/10.1016/j.cma.2015.11.029
  44. Zhang, L.W., Song, Z.G. and Liew, K.M. (2016f), "Optimal shape control of CNT reinforced functionally graded composite plates using piezoelectric patches", Compos. Part B: Eng., 85, 140-149. https://doi.org/10.1016/j.compositesb.2015.09.044
  45. Zhang, L.W., Xiao, L.N., Zou, G.L. and Liew, K.M. (2016g), "Elastodynamic analysis of quadrilateral CNT-reinforced functionally graded composite plates using FSDT element-free method", Compos. Struct., 148, 144-154. https://doi.org/10.1016/j.compstruct.2016.04.006
  46. Zhang, L.W., Zhang, Y., Zou, G.L. and Liew, K.M. (2016h), "Free vibration analysis of triangular CNTreinforced composite plates subjected to in-plane stresses using FSDT element-free method", Compos. Struct., 149, 247-260. https://doi.org/10.1016/j.compstruct.2016.04.019
  47. Zhu, P., Zhang, L.W. and Liew, K.M. (2014), "Geometrically nonlinear thermomechanical analysis of moderately thick functionally graded plates using a local Petrov-Galerkin approach with moving Kriging interpolation", Compos. Struct., 107, 298-314. https://doi.org/10.1016/j.compstruct.2013.08.001

피인용 문헌

  1. New approach to investigate nonlinear dynamic response of sandwich auxetic double curves shallow shells using TSDT vol.185, 2018, https://doi.org/10.1016/j.compstruct.2017.11.047
  2. Nonlinear harmonic vibration analysis of fluid-conveying piezoelectric-layered nanotubes vol.123, 2017, https://doi.org/10.1016/j.compositesb.2017.05.012
  3. A novel quasi-3D trigonometric plate theory for free vibration analysis of advanced composite plates vol.184, 2018, https://doi.org/10.1016/j.compstruct.2017.10.047
  4. Validation simulation for free vibration and buckling of cracked Mindlin plates using phase-field method pp.1537-6532, 2018, https://doi.org/10.1080/15376494.2018.1430262
  5. Thermal postbuckling of shear deformable CNT-reinforced composite plates with tangentially restrained edges and temperature-dependent properties pp.1530-7980, 2018, https://doi.org/10.1177/0892705718804588
  6. Buckling of sandwich plates with FG-CNT-reinforced layers resting on orthotropic elastic medium using Reddy plate theory vol.23, pp.6, 2016, https://doi.org/10.12989/scs.2017.23.6.623
  7. Pulsating fluid induced dynamic stability of embedded viscoelastic piezoelectric separators using different cylindrical shell theories vol.24, pp.4, 2016, https://doi.org/10.12989/scs.2017.24.4.499
  8. Dynamic stability of FG-CNT-reinforced viscoelastic micro cylindrical shells resting on nonhomogeneous orthotropic viscoelastic medium subjected to harmonic temperature distribution and 2D magnetic fi vol.25, pp.2, 2017, https://doi.org/10.12989/was.2017.25.2.131
  9. Mathematical modelling of the stability of carbon nanotube-reinforced panels vol.24, pp.6, 2017, https://doi.org/10.12989/scs.2017.24.6.727
  10. A new quasi-3D HSDT for buckling and vibration of FG plate vol.64, pp.6, 2016, https://doi.org/10.12989/sem.2017.64.6.737
  11. An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions vol.25, pp.6, 2016, https://doi.org/10.12989/scs.2017.25.6.693
  12. A novel four variable refined plate theory for wave propagation in functionally graded material plates vol.27, pp.1, 2018, https://doi.org/10.12989/scs.2018.27.1.109
  13. Improved HSDT accounting for effect of thickness stretching in advanced composite plates vol.66, pp.1, 2016, https://doi.org/10.12989/sem.2018.66.1.061
  14. A novel shear deformation theory for buckling analysis of single layer graphene sheet based on nonlocal elasticity theory vol.21, pp.4, 2016, https://doi.org/10.12989/sss.2018.21.4.397
  15. Novel quasi-3D and 2D shear deformation theories for bending and free vibration analysis of FGM plates vol.14, pp.6, 2016, https://doi.org/10.12989/gae.2018.14.6.519
  16. A novel four-unknown quasi-3D shear deformation theory for functionally graded plates vol.27, pp.5, 2016, https://doi.org/10.12989/scs.2018.27.5.599
  17. A new nonlocal HSDT for analysis of stability of single layer graphene sheet vol.6, pp.2, 2016, https://doi.org/10.12989/anr.2018.6.2.147
  18. Thermal buckling of FGM beams having parabolic thickness variation and temperature dependent materials vol.27, pp.6, 2016, https://doi.org/10.12989/scs.2018.27.6.777
  19. Buckling analysis of new quasi-3D FG nanobeams based on nonlocal strain gradient elasticity theory and variable length scale parameter vol.28, pp.1, 2016, https://doi.org/10.12989/scs.2018.28.1.013
  20. The critical buckling load of reinforced nanocomposite porous plates vol.67, pp.2, 2016, https://doi.org/10.12989/sem.2018.67.2.115
  21. Forced vibration response in nanocomposite cylindrical shells - Based on strain gradient beam theory vol.28, pp.3, 2016, https://doi.org/10.12989/scs.2018.28.3.381
  22. Single variable shear deformation model for bending analysis of thick beams vol.67, pp.3, 2016, https://doi.org/10.12989/sem.2018.67.3.291
  23. A new plate model for vibration response of advanced composite plates in thermal environment vol.67, pp.4, 2016, https://doi.org/10.12989/sem.2018.67.4.369
  24. Effect of homogenization models on stress analysis of functionally graded plates vol.67, pp.5, 2018, https://doi.org/10.12989/sem.2018.67.5.527
  25. Nonlinear finite element solutions of thermoelastic flexural strength and stress values of temperature dependent graded CNT-reinforced sandwich shallow shell structure vol.67, pp.6, 2018, https://doi.org/10.12989/sem.2018.67.6.565
  26. Dynamic buckling of smart sandwich beam subjected to electric field based on hyperbolic piezoelasticity theory vol.22, pp.3, 2016, https://doi.org/10.12989/sss.2018.22.3.327
  27. Analysis of wave propagation and free vibration of functionally graded porous material beam with a novel four variable refined theory vol.15, pp.4, 2018, https://doi.org/10.12989/eas.2018.15.4.369
  28. A refined quasi-3D hybrid-type higher order shear deformation theory for bending and Free vibration analysis of advanced composites beams vol.27, pp.4, 2016, https://doi.org/10.12989/was.2018.27.4.269
  29. Dynamic and bending analysis of carbon nanotube-reinforced composite plates with elastic foundation vol.27, pp.5, 2018, https://doi.org/10.12989/was.2018.27.5.311
  30. Critical buckling loads of carbon nanotube embedded in Kerr's medium vol.6, pp.4, 2016, https://doi.org/10.12989/anr.2018.6.4.339
  31. Dynamic investigation of porous functionally graded beam using a sinusoidal shear deformation theory vol.28, pp.1, 2016, https://doi.org/10.12989/was.2019.28.1.019
  32. Dynamic and wave propagation investigation of FGM plates with porosities using a four variable plate theory vol.28, pp.1, 2016, https://doi.org/10.12989/was.2019.28.1.049
  33. Thermal, electrical and mechanical buckling loads of sandwich nano-beams made of FG-CNTRC resting on Pasternak's foundation based on higher order shear deformation theory vol.69, pp.4, 2019, https://doi.org/10.12989/sem.2019.69.4.439
  34. Vibration response and wave propagation in FG plates resting on elastic foundations using HSDT vol.69, pp.5, 2016, https://doi.org/10.12989/sem.2019.69.5.511
  35. Vibration analysis of different material distributions of functionally graded microbeam vol.69, pp.6, 2016, https://doi.org/10.12989/sem.2019.69.6.637
  36. Buckling behavior of rectangular plates under uniaxial and biaxial compression vol.70, pp.1, 2019, https://doi.org/10.12989/sem.2019.70.1.113
  37. A simple HSDT for bending, buckling and dynamic behavior of laminated composite plates vol.70, pp.3, 2019, https://doi.org/10.12989/sem.2019.70.3.325
  38. Improved analytical method for adhesive stresses in plated beam: Effect of shear deformation vol.7, pp.3, 2016, https://doi.org/10.12989/acc.2019.7.3.151
  39. A simple quasi-3D HSDT for the dynamics analysis of FG thick plate on elastic foundation vol.31, pp.5, 2016, https://doi.org/10.12989/scs.2019.31.5.503
  40. Robust quasi 3D computational model for mechanical response of FG thick sandwich plate vol.70, pp.5, 2019, https://doi.org/10.12989/sem.2019.70.5.571
  41. Vibration analysis of nonlocal porous nanobeams made of functionally graded material vol.7, pp.5, 2019, https://doi.org/10.12989/anr.2019.7.5.351
  42. Bending analysis of anti-symmetric cross-ply laminated plates under nonlinear thermal and mechanical loadings vol.33, pp.1, 2016, https://doi.org/10.12989/scs.2019.33.1.081
  43. Three-dimensional modelling of functionally graded beams using Saint-Venant's beam theory vol.72, pp.2, 2016, https://doi.org/10.12989/sem.2019.72.2.257
  44. Nonlocal effect on the vibration of armchair and zigzag SWCNTs with bending rigidity vol.7, pp.6, 2016, https://doi.org/10.12989/anr.2019.7.6.431
  45. Nonlinear Vibration of Carbon Nanotube Reinforced Composite Truncated Conical Shells in Thermal Environment vol.19, pp.12, 2016, https://doi.org/10.1142/s021945541950158x
  46. On the modeling of dynamic behavior of composite plates using a simple nth-HSDT vol.29, pp.6, 2016, https://doi.org/10.12989/was.2019.29.6.371
  47. Buckling and dynamic behavior of the simply supported CNT-RC beams using an integral-first shear deformation theory vol.25, pp.2, 2020, https://doi.org/10.12989/cac.2020.25.2.155
  48. Nonlocal vibration of DWCNTs based on Flügge shell model using wave propagation approach vol.34, pp.4, 2020, https://doi.org/10.12989/scs.2020.34.4.599
  49. A refined HSDT for bending and dynamic analysis of FGM plates vol.74, pp.1, 2020, https://doi.org/10.12989/sem.2020.74.1.105
  50. Response of orthotropic Kelvin modeling for single-walled carbon nanotubes: Frequency analysis vol.8, pp.3, 2016, https://doi.org/10.12989/anr.2020.8.3.229
  51. Eringen's nonlocal model sandwich with Kelvin's theory for vibration of DWCNT vol.25, pp.4, 2016, https://doi.org/10.12989/cac.2020.25.4.343
  52. Thermal flexural analysis of anti-symmetric cross-ply laminated plates using a four variable refined theory vol.25, pp.4, 2016, https://doi.org/10.12989/sss.2020.25.4.409
  53. Effects of elastic medium on buckling of microtubules due to bending and torsion vol.9, pp.5, 2016, https://doi.org/10.12989/acc.2020.9.5.491
  54. Theoretical impact of Kelvin's theory for vibration of double walled carbon nanotubes vol.8, pp.4, 2016, https://doi.org/10.12989/anr.2020.8.4.307
  55. A novel four-unknown integral model for buckling response of FG sandwich plates resting on elastic foundations under various boundary conditions using Galerkin's approach vol.21, pp.5, 2016, https://doi.org/10.12989/gae.2020.21.5.471
  56. Effect of Pasternak foundation: Structural modal identification for vibration of FG shell vol.9, pp.6, 2020, https://doi.org/10.12989/acc.2020.9.6.569
  57. Runge-Kutta method for flow of dusty fluid along exponentially stretching cylinder vol.36, pp.5, 2016, https://doi.org/10.12989/scs.2020.36.5.603
  58. Deflections, stresses and free vibration studies of FG-CNT reinforced sandwich plates resting on Pasternak elastic foundation vol.26, pp.3, 2016, https://doi.org/10.12989/cac.2020.26.3.213
  59. Flow of casson nanofluid along permeable exponentially stretching cylinder: Variation of mass concentration profile vol.38, pp.1, 2016, https://doi.org/10.12989/scs.2021.38.1.033
  60. Bending and free vibration analysis of functionally graded sandwich plates: An assessment of the Refined Zigzag Theory vol.23, pp.3, 2021, https://doi.org/10.1177/1099636219843970
  61. Thermal stress effects on microtubules based on orthotropic model: Vibrational analysis vol.11, pp.3, 2016, https://doi.org/10.12989/acc.2021.11.3.255
  62. Effect of suction on flow of dusty fluid along exponentially stretching cylinder vol.10, pp.3, 2016, https://doi.org/10.12989/anr.2021.10.3.263
  63. The effects of rotation on the frequencies and critical speed of CNTs/fiber/polymer/metal laminates cylindrical shell vol.15, pp.2, 2016, https://doi.org/10.1016/j.arabjc.2021.103575