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  • Free Vibration Analysis of Sandwich Plates with FGM Face Sheets and Temperature-Dependent Properties of the Core Materials

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آدرس مقاله


کد مقاله : 695565 بازدید : 120 صفحه: 23 - 37

نوع مقاله: پژوهشی

Free Vibration Analysis of Sandwich Plates with FGM Face Sheets and Temperature-Dependent Properties of the Core Materials

محورهای موضوعی : Analytical and Numerical Methods in Mechanical Design

Y. Mohammadi 1 (Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran)

تاریخ دریافت : 1401/07/20 تاریخ پذیرش : 1401/07/20 تاریخ انتشار : 1401/09/10

کلید واژه: Free vibration, FGM, Sandwich plates, Temperature Properties,

چکیده مقاله :

In this paper, the free vibration of sandwich plates with power-law FGM face sheets in various thermal environments is performed by high-order sandwich plate theory. The material properties of the core, such as Young’s modulus, density, thermal expansion coefficient and Poisson’s ratio, are assumed to be temperature dependent by nonlinear function of temperature [1]. The material properties of the FGM face sheets are assumed to vary continuously through the thickness according to a power law distribution in terms of volume fractions of the constituents [2]. The governing equations of motion in free natural vibration are derived using Hamilton’s principle [3]. A new approach is used to reduce the equations of motion from twenty three equations to eleven equations and then solve them. The new solution approach consists of isolating six of the unknowns in the displacements of the face sheets using the compatibility equations, followed by isolating the additional six Lagrange multipliers using the equations of the face sheets, finally, the isolated unknowns are substituted into the eleven equations of the core. Both un-symmetric and symmetric sandwich plates are considered in this analysis. Good agreement is found between theoretical predictions of the fundamental frequency parameters and the results obtained from other references for simply supported sandwich plates with functionally graded face sheets. The results show that the fundamental frequency parameters (ω ̅ ) increases by increasing the volume fraction index (κ). Also, the effect of temperature on the value of fundamental frequency parameters decreases with increases in the FGM face sheets thickness. The results also revealed that as the side-to-thickness ratio (b⁄h), the core-to-face sheet thickness ratio (h_c⁄h_t ) and temperature changes, have a significant effect on the fundamental frequency parameters.

چکیده انگلیسی:

منابع و مأخذ:


  1. Hui-ShenShen, Shi-Rong Li. Postbuckling of sandwich plates with FGM face sheets and temperature-dependent properties. Composites: Part B 39 (2008) 332–344..
    2.
  2. .stress in sandwich plate with functionally graded coatings. Thin Solid Films 516 (2008) 7581–7587.
    3.
  3.  H.G. Allen, Analysis and Design of Structural Sandwich Panels, Pergamon Press, London, 1969.
    4.
  4.  F.J. Plantema, Sandwich Construction, Wiley, New York, 1966.
    5.
  5. Zenkert, An Introduction to Sandwich Construction, Chameleon Press Ltd., London, 1995.
    6.
  6.  J.R. Vinson, The Behavior of Sandwich Structures of Isotropic and Composite Materials, Technomic Publishing Co. Inc, Lancaster, 1999.
    7.
  7.  A.K. Noor, W.S. Burton, C.W. Bert, Computational models for sandwich panels and shells, Appl. Mech. Rev. 49 (1996) 155–199.] L. Librescu, T. Hause, Recent developments in the modeling and behavior of advanced sandwich constructions: a survey, Compos. Struct. 48 (1) (2000) 1–17.
    8.
  8.  R.D. Mindlin, Influence of transverse shear deformation on the bending of classical plates, Trans. ASME, J. Appl. Mech. 8 (1951) 18–31.
    9.
  9.  J.N. Reddy, Energy and Variational Methods in Applied Mechanics, Wiley, New York, 1984.
    10.
  10.  Carrera E, Demasi L. Two benchmarks to assess two-dimensional theories of sandwich, composite plates. AIAA J 2003;41(7):1356–62.
    11.
  11.  Carrera E, Ciuffreda A. Bending of composites and sandwich plates subjected to localized lateral loadings: a comparison of various theories. Compos Struct 2005;68:185–202.
    12.
  12.  Carrera E. Transverse normal strain effects on thermal stress analysis of homogeneous and layered plates. AIAA J 2005;43(10):2232–42.
    13.
  13.  Kant T, Mallikarjuna. A high-order theory for free vibration of unsymmetrically laminated composite and sandwich plates – finite element evaluation. ComputStruct 1989;32(5):1125–32.
    14.
  14.  Kant T, Swaminathan K. Analytical solution for free vibrations for laminated composite and sandwich plates based on a higher-order refined theory. Compos Struct 2001;53:73–85.
    15.
  15. Meunier M, Shenoi RA. Dynamic analysis of composite sandwich plates with damping modelled using high-order shear deformation theory. Compos Struct 2001;54:243–54.
    16.
  16. Bardell NS, Dundson JM, Langley RS. Free vibration analysis of coplanar sandwich panels. Compos Struct 1997;38(1-4):463–75.
    17.
  17.  Lee LJ, Fan YJ. Bending and vibration analysis of composite sandwich plates. ComputStruct 1996;60(1):103–12.
    18.
  18. Vangipuram P, Ganesan N. Buckling and vibration of rectangular composite viscoelastic sandwich plates under thermal loads. Compos Struct 2007;77: 419–29.
    19.
  19. Shiau L-C, Kuo S-Y. Free vibration of thermally buckled composite sandwich plates. J VibratAcoust, ASME 2006;128:1–7.
    20.
  20.  Ibrahim HH, Tawfik M, Al-Ajmi M. Aero-thermo-mechanical characteristic of functionally graded material with temperature-depenednt material properties. In: Proceeding of ICFDP 8: eight international congress of fluid dynamics and propulsion, December 14–17, 2006, Sharm El-Sheikh, Sinai, Egypt; 2006.
    21.
  21.  Kim Y-W. Temperature dependent vibration analysis of functionally graded rectangular plates. J Sound Vibrat 2005;284:531–49.
    22.
  22. Hao M, Rao MD. Vibration and damping analysis of sandwich beam containing a viscoelastic constraining core. J Compos Mater 2005;39:1621–43.
    23.
  23. Duan B, Tawfik M, Goek S, Ro J, Mei C. Vibration of laminated composite plates embedded with shape memory alloy at elevated temperatures. In: SPIE’s 7th international symposium on smart structures and materials, vol. 3991, Newport Beach (CA, USA); March 2000.
    24.
  24. Petras, M.P.F. Sutcliffe. Indentation resistance of sandwich beams. J Compo Struct 1999; 46: 413-424.
    25.
  25. Frostig, M. Baruch, O. Vilnay, I. Sheinman, A high order theory for the bending of sandwich beams with a flexible core, J. ASCE EM Division 118 (5) (1992) 1026–1043.
    26.
  26. Frostig Y, Baruch M. Localized load effects in high-order bending of sandwich panels with flexible core. J EngrgMech 1996;122(11):1069-1076.
    27.
  27. Frostig, M. Baruch, Buckling of simply-supported sandwich beams with transversely flexible core—a high order theory, J. ASCE EM Division 119 (3) (1993) 476–495.
    28.
  28. Frostig, Buckling of sandwich panels with a transversely flexible core—high-order theory, Int. J. Solids Struct. 35 (3–4) (1998) 183–204.
    29.
  29. Sokolinsky, Y. Frostig, Effects of boundary conditions in high-order buckling of sandwich panels with a transversely flexible core, J. ASCE EM Division 125 (8) (1999) 865–874.
    30.
  30. Sokolinsky, Y. Frostig, Non-linear behavior of sandwich panels with a transversely flexible core—high-order theory approach, AIAA J. 37 (11) (1999) 1474–1482.
    31.
  31. Sokolinsky,Y. Frostig, Branching behavior in the non-linear response of sandwich panels with a transversely flexible core, Int. J. Solids Struct. 37 (2000) 5745–5772.
    32.
  32. Frostig Y, Baruch M. Free vibration of sandwich beams with a transversely flexible core: a high order approach. J Sound Vibrat 1994;176(2):195–208.
    33.
  33. Bozhevolnaya E, Frostig Y. Free vibration of curved sandwich beams with a transversely flexible core. J Sandwich Struct Mater 2001;3(4):311–42.
    34.
  34. Frostig Y, Thomsen OT. High-order free vibration of sandwich panels with a flexible core. Int J Solids Struct 2004;41(5-6):1697–724.
    35.
  35.  Yang MJ, Qiao P. Higher-order impact modeling of sandwich beams with flexible core. Int J Solids Struct 2005;42(20):5460–90.
    36.
  36. Qiao P, Yang MJ. Impact analysis of fiber reinforced polymer honeycomb composite sandwich beams’. Compos Part B: Eng 2007;38:739–50.
    37.
  37. Schwarts-Givli H, Rabinovitch O, Frostig Y. High order nonlinear contact effects in cyclic loading of delaminated sandwich panels. Compos Part B – Eng 2007;38(1):86–101.
    38.
  38. Schwarts-Givli H, Rabinovitch O, Frostig Y. High order nonlinear contact effects in the dynamic behavior of delaminated sandwich panels with flexible core. Int J Solids Struct 2007;44(1):77–99.
    39.
  39. Schwarts-Givli H, Rabinovitch O, Frostig Y. Free vibrations of delaminated unidirectional sandwich panels with a transversely flexible core – a modified Galerkin approach. J Sound Vibrat 2007;301(1–2):253–77.
    40.
  40. Schwarts-Givli H, Rabinovitch O, Frostig Y. Free vibration of delaminated sandwich panels with a transversely flexible core and general boundary conditions– a high order approach. J Sandwich Struct Mater 2008;10(2): 99–131.
    41.
  41. Malekzadeh K, Khalili MR, Mittal RK. Local and global damped vibrations of sandwich plates with a viscoelastic soft flexible core: an improved high-order approach. J Sandwich Struct Mater 2005;7(5):431–56.
    42.
  42. Frostig Y, Thomsen OT. Non-linear thermal response of sandwich panels with a flexible core and temperature dependent mechanical properties. Compos Part B: Eng 2008;39(1):165–84 [special issue, Rajapakse YDS.ON].
    43.
  43. Frostig Y, Thomsen OT. Buckling and non-linear response of sandwich panels with a compliant core and temperature-dependent mechanical properties. J Mech Mater Struct 2007;2(7).
    44.
  44. Frostig ,O.T. Thomsen. On the free vibration of sandwich plates with a transversely flexible and temperature-dependent core material – part I: Mathematical formulation. J Composites Science and Technology 2008; ():-.
    45.
  45. N. Reddy, Thermo mechanical behavior of functionally graded materials.Texas,1998.
    46.
  46. Li, V.P. Iu, K.P. Kou, Three-dimensional vibration analysis of functionally graded material sandwich plates, Journal of solid and vibration, 311 (2008) 498-515.
    47.
  47. Shyang-Ho Chi, Yen-Ling Chung. Mechanical behavior of functionally graded material plates under transverse load—Part I: Analysis. J Solids and Struct 2006; 43: 3657-3674.
    48.

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