PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Vibration and stability analyses of functionally graded beams

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Design considerations, material properties and dynamic properties of engineering applications, rotating components, turbine blades, helicopter blades, etc., have significante ffects on system efficiency. Structures made of functionally graded materials have recently begun to take place in such engineering applications, resulting from the development of composite material technology. In this study, vibration and buckling characteristics of axially functionally graded beams whose material properties change along the beam length is analyzed. Beam structural formulations and functionally graded material formulations are obtained for the Classical and the First Order Shear Deformation Theories. Finite element models are derived to carry out the vibratory and stability characteristic analyses. Effects of several parameters, i.e., rotational speed, hub radius, material properties, power law index parameter and boundary conditions are investigated and are displayed in several figures and tables. The calculated results are compared with the ones in open literature and very good agreement is observed.
Rocznik
Strony
93--113
Opis fizyczny
Bibliogr. 20 poz., rys., tab., wykr.
Twórcy
  • Istanbul Technical University, Faculty of Aeronautics and Astronautics, Istanbul, Turkey
  • Istanbul Technical University, Faculty of Aeronautics and Astronautics, Istanbul, Turkey
Bibliografia
  • [1] C.T. Loy, K.Y. Lam, and J.N. Reddy. Vibration of functionally graded cylindrical shells. International Journal of Mechanical Sciences, 41(3):309–324, 1999. doi: 10.1016/S0020-7403(98)00054-X .
  • [2] B.V. Sankar. An elasticity solution for functionally graded beams. Composites Science and Technology, 61(5):689–696, 2001. doi: 10.1016/S0266-3538(01)00007-0.
  • [3] M. Aydogdu and V. Taskin. Free vibration analysis of functionally graded beams with simply supported edges. Materials & Design, 28(5):1651–1656, 2007. doi: ;10.1016/j.matdes.2006.02.007.
  • [4] A. Chakraborty, S. Gopalakrishnan, and J.N. Reddy, A new beam finite element for the analysis of functionally graded materials. International Journal of Mechanical Sciences, 45(3):519–539, 2003. doi: 10.1016/S0020-7403(03)00058-4.
  • [5] A.J. Goupee and S.S. Vel. Optimization of natural frequencies of bidirectional functionally graded beams. Structural and Multidisciplinary Optimization, 32:473–484, 2006. doi: 10.1007/s00158-006-0022-1.
  • [6] H.J. Xiang and J. Yang. Free and forced vibration of a laminated FGM Timoshenko beam of variable thickness under heat conduction. Composites Part B:Engineering, 39(2):292–303, 2008. doi: 10.1016/j.compositesb.2007.01.005.
  • [7] M.T. Piovan and R. Sampaio. A study on the dynamics of rotating beams with functionally graded properties. Journal of Sound and Vibration, 327(1-2):134–143, 2009. doi: 10.1016/j.jsv.2009.06.015.
  • [8] M Şimşek and T. Kocatürk. Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load. Composite Structures, 90(4):465–473, 2009. doi: 10.1016/j.compstruct.2009.04.024.
  • [9] P. Malekzadeh, M.R. Golbahar Haghighi, and M.M. Atashi. Out-of-plane free vibration of functionally graded circular curved beams in thermal environment. Composite Structures, 92: 541–552, 2010. doi: 10.1016/j.compstruct.2009.08.040.
  • [10] Y. Huang and X.F. Li. A new approach for free vibration of axially functionally graded beams with non-uniform cross-section. Journal of Sound and Vibration, 329(11):2291–2303, 2010. doi: 10.1016/j.jsv.2009.12.029.
  • [11] A. Shahba, R. Attarnejad, M.T. Marvi, and S. Hajilar. Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and non-classical boundary conditions. Composites Part B: Engineering, 42(4):801–808, 2011. doi: 10.1016/j.compositesb.2011.01.017.
  • [12] I. Elishakoff and Y. Miglis. Some intriguing results pertaining to functionally graded columns. Journal of Applied Mechanics, 80(4):1021–1029, 2013. doi: 10.1115/1.4007983.
  • [13] M. Soltani and B. Asgarian. New hybrid approach for free vibration and stability analyses of axially functionally graded Euler-Bernoulli beams with variable cross-section resting on uniform Winkler-Pasternak foundation. Latin American Journal of Solids and Structures, 16(3):e173, 2019. doi: 10.1590/1679-78254665.
  • [14] J.H. Kim and G.H. Paulino. Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials. Journal of Applied Mechanics, 69(4):502–514, 2002. doi: 10.1115/1.1467094.
  • [15] P. Zahedinejad, C. Zhang, H. Zhang, and S. Ju. A comprehensive review on vibration analysis of functionally graded beams. International Journal of Structural Stability and Dynamics, 20(4):2030002, 2020. doi: 10.1142/S0219455420300025.
  • [16] N. Zhang, T. Khan, H. Guo, S. Shi, W. Zhong, and W. Zhang. Functionally graded materials: An overview of stability, buckling, and free vibration analysis. Advances in Material Science and Engineering, 1354150, 2019. doi: 10.1155/2019/1354150.
  • [17] Ö. Özdemir. Application of the differential transform method to the free vibration analysis of functionally graded Timoshenko beams. Journal of Theoretical and Applied Mechanics, 54(4):1205–1217, 2016.
  • [18] B. Kılıç. Vibration analysis of axially functionally graded rotor blades. M.Sc.Thesis, Istanbul Technical University, İstanbul, Turkey, 2019.
  • [19] S. Rajasekaran. Differential transformation and differential quadrature methods for centrifugally stiffened axially functionally graded tapered beams. International Journal of Mechanical Sciences, 74. 15-31, 2013.
  • [20] A.D. Wright, C.E. Smith, R.W. Thresher, and J.L.C. Wang. Vibration modes of centrifugally stiffened beams. Journal of Applied Mechanics, 49(1):197–202, 1982. doi: 10.1115/1.3161966.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-5d0d7ed2-455b-4016-9cff-4bc8a10faff4
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.