Static and Dynamic Stability Analysis of Thick CNT Reinforced Beams Resting on Pasternak Foundation Under Axial and Follower Forces
Subject Areas :
Engineering
M Hosseini
1
,
A Ghorbanpour Arani
2
,
M karamizadeh
3
,
Sh Niknejad
4
,
A Hosseinpour
5
1 - Department of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iran
2 - Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran---
Institute of Nanoscience &Nanotechnology, University of Kashan, Kashan, Iran
3 - Department of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iran
4 - Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
5 - Department of Mechanical Engineering and Engineering science, University of North Carolina at Charlotte, United States
Received: 2021-09-01
Accepted : 2021-11-14
Published : 2022-03-30
Keywords:
References:
Amabili M., Pellicano F., Païdoussis M., 1999, Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid, Part II: large-amplitude vibrations without flow, Journal of Sound and Vibration 228(5) :1103-1124.
Amabili M., Pellicano F., Païdoussis M., 1999, Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. Part I: stability, Journal of Sound and Vibration 225(4): 655-700.
Amabili M., Pellicano F., Paidoussis M., 2000, Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. Part IV: large-amplitude vibrations with flow, Journal of Sound and Vibration 237(4): 641-666.
Amabili M., Pellicano F., Paidoussis M., 2000, Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. Part III: truncation effect without flow and experiments, Journal of Sound and Vibration 237(4): 617-640.
Afshari H., Torabi K., 2017, A parametric study on flutter analysis of cantilevered trapezoidal FG sandwich plates, AUT Journal of Mechanical Enginerring 1(2): 191-210.
Torabi K., Afshari H., 2017, Optimization for flutter boundaries of cantilevered trapezoidal thick plates, Journal of the Brazilian Society of Mechanical Sciences Engineering 39(5): 1545-1561.
Torabi K., Afshari H., Aboutalebi F.H., 2017, Vibration and flutter analyses of cantilever trapezoidal honeycomb sandwich plates, Journal of Sandwich Structures Materials 2017: 1099636217728746.
Torabi K., Afshari H., 2017, Materials, Optimization of flutter boundaries of cantilevered trapezoidal functionally graded sandwich plates, Journal of Sandwich Structures 2017: 1099636217697492.
Irie T., Yamada G., Takahashi I., 1980, Vibration and stability of a non-uniform Timoshenko beam subjected to a follower force, Journal of Sound and Vibration 70(4): 503-512.
Park Y., 1987, Dynamic stability of a free Timoshenko beam under a controlled follower force, Journal of Sound and Vibration 113(3): 407-415.
Lien-Wen C., Jeng-Ying Y., 1989, Nonconservative stability of a bimodulus beam subjected to a follower force, Computers & Structures 32(5): 987-995.
Lee H., 1996, Dynamic stability of a tapered cantilever beam on an elastic foundation subjected to a follower force, International Journal of Solids and Structures 33(10): 1409-1424.
Takahashi I., Yoshioka T., 1996, Vibration and stability of a non-uniform double-beam subjected to follower forces, Computers & Structures 59(6): 1033-1038.
Takahashi I., 1999, Vibration and stability of non-uniform cracked Timoshenko beam subjected to follower force, Computers & Structures 71(5): 585-591.
Young T., Juan C., 2003, Dynamic stability and response of fluttered beams subjected to random follower forces, International Journal of Non-Linear Mechanics 38(6): 889-901.
Djondjorov P.A., Vassilev V.M., 2008, On the dynamic stability of a cantilever under tangential follower force according to Timoshenko beam theory, Journal of Sound and Vibration 311(3-5): 1431-1437.
Goyal V.K., Kapania R.K., 2008, Dynamic stability of laminated beams subjected to nonconservative loading, Thin-Walled Structures 46(12): 1359-1369.
Li Q., 2008, Stability of non-uniform columns under the combined action of concentrated follower forces and variably distributed loads, Journal of Constructional Steel Research 64(3): 367-376.
Fazelzadeh S., Mazidi A., Kalantari H., 2009, Bending-torsional flutter of wings with an attached mass subjected to a follower force, Journal of Sound and Vibration 323(1-2): 148-162.
Wang L., 2012, Flutter instability of supported pipes conveying fluid subjected to distributed follower forces, Acta Mechanica Solida Sinica 25(1): 46-52.
Mao Q., Wattanasakulpong N., 2015, Vibration and stability of a double-beam system interconnected by an elastic foundation under conservative and nonconservative axial forces, International Journal of Mechanical Sciences 93: 1-7.
Bahaadini R., Hosseini M., Jamalpoor A., 2017, Nonlocal and surface effects on the flutter instability of cantilevered nanotubes conveying fluid subjected to follower forces, Physica B: Condensed Matter 509: 55-61.
Bahaadini R., Hosseini M., 2018, Flow-induced and mechanical stability of cantilever carbon nanotubes subjected to an axial compressive load, Applied Mathematical Modelling 59: 597-613.
Mohammadimehr M., Monajemi A.A., Afshari H., 2017, Free and forced vibration analysis of viscoelastic damped FG-CNT reinforced micro composite beams, Microsystem Technologies 26(10): 3085-3099.
Arefi M., Mohammad-Rezaei Bidgoli E., Dimitri R., Tornabene F., 2018, Free vibrations of functionally graded polymer composite nanoplates reinforced with graphene nanoplatelets, Aerospace Science and Technology 81: 108-117.
Arefi M., Mohammadi M., Tabatabaeian A., Dimitri R., Tornabene F., 2018, Two-dimensional thermo-elastic analysis of FG-CNTRC cylindrical pressure vessels, Steel and Composite Structures 27(4): 525-536.
Mohammadi M., Arefi M., Dimitri R., Tornabene F., 2019, Higher-order thermo-elastic analysis of FG-CNTRC cylindrical vessels surrounded by a pasternak foundation, Nanomaterials 9(1): 79.
Arefi M., Mohammad-Rezaei Bidgoli E., Dimitri R., Bacciocchi M., Tornabene F., 2019, Nonlocal bending analysis of curved nanobeams reinforced by graphene nanoplatelets, Composites Part B: Engineering 166: 1-12.
Arefi M., Zenkour A.M., 2017, Transient sinusoidal shear deformation formulation of a size-dependent three-layer piezo-magnetic curved nanobeam, Acta Mechanica 228(10): 3657-3674.
Arefi M., Mohammad-Rezaei Bidgoli E., Dimitri R., Bacciocchi M., Tornabene F., 2018, Application of sinusoidal shear deformation theory and physical neutral surface to analysis of functionally graded piezoelectric plate, Composites Part B: Engineering 151: 35-50.
Arefi M., Zenkour A.M., 2018, Thermal stress and deformation analysis of a size-dependent curved nanobeam based on sinusoidal shear deformation theory, Alexandria Engineering Journal 57(3): 2177-2185.
Arani A.G., Kiani F., Afshari H., 2019, Free and forced vibration analysis of laminated functionally graded CNT-reinforced composite cylindrical panels, Journal of Sandwich Structures and Materials 2019: 1099636219830787.
Arefi M., Zenkour A.M., 2019, Effect of thermo-magneto-electro-mechanical fields on the bending behaviors of a three-layered nanoplate based on sinusoidal shear-deformation plate theory, Journal of Sandwich Structures and Materials 21(2): 639-669.
Shen H.-S., 2009, Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments, Composite Structures 91(1): 9-19.
Reddy J., 2007, Nonlocal theories for bending, buckling and vibration of beams, International Journal of Engineering Science 45(2-8): 288-307.
Sadd M.H., 2009, Elasticity: Theory, Applications, and Numerics, Academic Press.
Rajesh K., Saheb K.M., 2017, Free vibrations of uniform timoshenko beams on pasternak foundation using coupled displacement field method, Archive of Mechanical Engineering 64(3): 359-373.
Bert C.W., Malik M., 1996, Differential quadrature method in computational mechanics: a review, Applied Mechanics Reviews 49(1): 1-28.
Lin R., Lim M., Du H., 1994, Deflection of plates with nonlinear boundary supports using generalized differential quadrature, Computers & Structures 53(4): 993-999.
Du H., Lim M., Lin R.,1995, Application of generalized differential quadrature to vibration analysis, Journal of Sound and Vibration 181(2): 279-293.
Shen H.-S., 2011, Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: axially-loaded shells, Composite Structures 93(8): 2096-2108.
Mirzaei M., Kiani Y., 2016, Free vibration of functionally graded carbon nanotube reinforced composite cylindrical panels, Composite Structures 142: 45-56.
Shen H.-S., Xiang Y., 2014, Nonlinear vibration of nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments, Composite Structures 111: 291-300.
Lin F., Xiang Y., 2014, Vibration of carbon nanotube reinforced composite beams based on the first and third order beam theories, Applied Mathematical Modelling 38(15-16): 3741-3754.