• الصفحة الرئيسية
  • Static and Dynamic Stability Analysis of Thick CNT Reinforced Beams Resting on Pasternak Foundation Under Axial and Follower Forces

شارک

عنوان URL للمقالة


رقم المقالة : JSM-1901-1386 (R1) زيارة : 136 الصفحة: 1 - 16

10.22034/jsm.2019.585582.1401

20.1001.1.20083505.2022.14.1.1.1

نوع المخطوط: ابحاث

Static and Dynamic Stability Analysis of Thick CNT Reinforced Beams Resting on Pasternak Foundation Under Axial and Follower Forces

الموضوعات :

M Hosseini 1 (Department of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iran)
A Ghorbanpour Arani 2 (Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran--- Institute of Nanoscience &Nanotechnology, University of Kashan, Kashan, Iran)
M karamizadeh 3 (Department of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iran)
Sh Niknejad 4 (Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran)
A Hosseinpour 5 (Department of Mechanical Engineering and Engineering science, University of North Carolina at Charlotte, United States)

تاريخ الإرسال : 24 الأربعاء , محرم, 1443 تاريخ التأكيد : 09 الأحد , ربيع الثاني, 1443 تاريخ الإصدار : 27 الأربعاء , شعبان, 1443

الکلمات المفتاحية: Carbon Nanotube, Dynamic stability, Pasternak foundation, Follower force,

ملخص المقالة :

In this paper, a numerical solution is presented for static and dynamic stability analysis of carbon nanotube (CNT) reinforced beams resting on Pasternak foundation. The beam is considered to be exposed to compressive axial and follower forces at its free end. The beam is modeled based on the Reddy’s third order shear deformation theory and governing equations and external boundary conditions are derived using Hamilton’s principle. The set of governing equations and boundary conditions are solved numerically using differential quadrature method. Convergence and accuracy of results are confirmed and effect of various parameters on the stability region of the beam is investigated including volume fraction and distribution of CNTs, width and thickness of the beam and elastic and shear coefficients of the foundation.

المصادر:


  1.  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.
    2.
  2. 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.
    3.
  3.  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.
    4.
  4.  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.
    5.
  5. 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.
    6.
  6. 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.
    7.
  7. 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.
    8.
  8.  Torabi K., Afshari H., 2017, Materials, Optimization of flutter boundaries of cantilevered trapezoidal functionally graded sandwich plates, Journal of Sandwich Structures 2017: 1099636217697492.
    9.
  9.  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.
    10.
  10.  Park Y., 1987, Dynamic stability of a free Timoshenko beam under a controlled follower force, Journal of Sound and Vibration 113(3): 407-415.
    11.
  11.  Lien-Wen C., Jeng-Ying Y., 1989, Nonconservative stability of a bimodulus beam subjected to a follower force, Computers & Structures 32(5): 987-995.
    12.
  12.  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.
    13.
  13. Takahashi I., Yoshioka T., 1996, Vibration and stability of a non-uniform double-beam subjected to follower forces, Computers & Structures 59(6): 1033-1038.
    14.
  14. Takahashi I., 1999, Vibration and stability of non-uniform cracked Timoshenko beam subjected to follower force, Computers & Structures 71(5): 585-591.
    15.
  15.  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.
    16.
  16. 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.
    17.
  17.  Goyal V.K., Kapania R.K., 2008, Dynamic stability of laminated beams subjected to nonconservative loading, Thin-Walled Structures 46(12): 1359-1369.
    18.
  18.  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.
    19.
  19.  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.
    20.
  20.  Wang L., 2012, Flutter instability of supported pipes conveying fluid subjected to distributed follower forces, Acta Mechanica Solida Sinica 25(1): 46-52.
    21.
  21.  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.
    22.
  22.  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.
    23.
  23.  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.
    24.
  24.  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.
    25.
  25.  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.
    26.
  26.  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.
    27.
  27.  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.
    28.
  28.  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.
    29.
  29.  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.
    30.
  30.  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.
    31.
  31. 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.
    32.
  32.  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.
    33.
  33.  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.
    34.
  34.  Shen H.-S., 2009, Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments, Composite Structures 91(1): 9-19.
    35.
  35.  Reddy J., 2007, Nonlocal theories for bending, buckling and vibration of beams, International Journal of Engineering Science 45(2-8): 288-307.
    36.
  36.  Sadd M.H., 2009, Elasticity: Theory, Applications, and Numerics, Academic Press.
    37.
  37.  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.
    38.
  38.  Bert C.W., Malik M., 1996, Differential quadrature method in computational mechanics: a review, Applied Mechanics Reviews 49(1): 1-28.
    39.
  39. Lin R., Lim M., Du H., 1994, Deflection of plates with nonlinear boundary supports using generalized differential quadrature, Computers & Structures 53(4): 993-999.
    40.
  40.  Du H., Lim M., Lin R.,1995, Application of generalized differential quadrature to vibration analysis, Journal of Sound and Vibration 181(2): 279-293.
    41.
  41. 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.
    42.
  42.  Mirzaei M., Kiani Y., 2016, Free vibration of functionally graded carbon nanotube reinforced composite cylindrical panels, Composite Structures 142: 45-56.
    43.
  43.  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.
    44.
  44. 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.
    45.

سند

Sanad is a platform for managing Azad University publications

الروابط

المراكز ذات الصلة

دعامة

الصفحات الرسمية

حقوق هذا الموقع الإلكتروني مملوكة لنظام SANAD Press Management. © 1442-1445

الصفحة الرئيسية| دخول| معلومات عنا| اتصل بنا|
[English] [فارسی] [en] [fa]