Modares Mechanical Engineering

Modares Mechanical Engineering

Free vibration analysis of designed FML circular cylindrical shell based on optimum fiber orientation

Authors
ali nazari 1
ali asghar naderi 2
1 Aerospace research institute
2 emam ali un
Abstract
The big deformation of composite structures under dynamic loads is one of the most disadvantages of these structures that cause to loss of stiffness of them. The using of fiber metal laminated shell that named FML in abbreviation is one of the ways to decrease the adverse effect of dynamic load. In this study the optimum fiber orientation of composite layers of the FML circular cylindrical shells are determined to more decrease the adverse effect of dynamic loads. For this purpose the fiber orientation of composite layers of the FML circular cylindrical shells are changed frequently and each cases being subjected to axial compressive load and with use of ABAQUS program the tension of all composite layers are calculated for all cases. Then with use of MATLAB program the fiber orientation that cause to maximum stiffness based on maximum tension fracture criterion is selected. The free vibration analysis is used for determination the accuracy and performance of design process. The results of free vibration analyses show that determination of the optimum fiber orientation cause to improvement of the FML shell natural frequency. Energy method and high order shear deformation theory is used to define the equation of motion. Full Calculus method is used for optimization in order to apply the exact result.
Keywords
Free vibration
fiber metal laminated shell
fracture criterion
fiber orientation

Subjects

[1]-Y.Lam, C.Loy, Influence of boundary conditions and fiber orientation on the natural frequencies of thin orthotropic laminated cylindrical shells”, Journal of Composite Structures, Vol. 31, No. 1, pp. 21-30, 1995.
[2]- H.W. Nam , W. Hwang , Stacking Sequence Design of Fiber-Metal Laminate for Maximum Strength, Journal of Composite Materials, Vol. 35, No. 18, pp.1654-1683, 2001.
[3]- V.Ungbhakorn, P.Singhatanadgid,Similitude and Physical Modeling for Buckling and Vibration of Symmetric Cross-ply Laminated Circular Cylindrical Shells, Journal of Composite Materials, VOL.37,No.18,pp.1654-1683, 2003.
[4]- R.Nabavi , M.H. Yas, M.Shakeri,Natural frequency optimization of laminated cylindrical shell subjected to Tsai-Hill failure criteria constraint using penalty method, Key Engineering Materials VOL.334,pp.9-12,2007.
[5]- S.Y.Yaokuo, S.LeChung, Buckling and vibration of composite laminated plates with variable fiber spacing, Journal of Composite Structures , Vol. 90 , No. 2 , pp.196-209,2009.
[6]- K.Malekzadeh,S.M.R. Khalili, A. Davar, transient Dynamic response of clamp-free hybrid composite circular cylindrical shells, Appl compose mater, Vol. 17, No. 10, pp. 243-257, 2010.
[7]- F.kaviani, H.R.mirdamadi, Free Vibration Analysis of Laminated Composite Plate by a Novel Four Variable Refined Theory ,tarbiat modares Journal of tarbiat modares , Vol.12, No. 6 , pp. 147–158,2011.
[8]- S.M.R. Khalili, A.Davar, K.MalekzadehFard, Free vibration analysis of homogeneous isotropic circular cylindrical shells based on a new three-dimensional refined higher-order theory, International journal of Mechanical sciences, Vol.56, pp. 1-25, 2012.
[9]- L.Zhao, J.Wu, Natural Frequency and Vibration Modal Analysis of Composite Laminated Plate, Advanced Materials Research, Vol. 711 , pp. 396-400,2013.
[10]- K.MalekzadehFard, M.R.Hasanabadi, Free Vibration and Static Bending Analysis of Curved Sandwich Panel with Magneto-Rheological Fluid Layer in Sheets using Improved High Order Sandwich Panel Theory, journal of science and technology of composites, Vol.1,No.2, pp. 49-62, 2014.
[11]- Ye.Tiangui, G.Jin, X.Ma, Three-dimensional free vibration analysis of thick cylindrical shells with general end conditions and resting on elastic foundations, International journal of Mechanical sciences, Vol.84 , pp. 120-137, 2014.
[12]- I.Sen, - R.C.Alderliesten,Design optimization procedure for fiber metal laminates based on fatigue crack initiation , Journal of composite structures, Vol. 120, No.5, pp. 275-284, 2015.
[13]- A.Tullu, B.Kang, Elastic deformation of fiber-reinforced multi-layered composite cylindrical shells of variable stiffness, Composites Part B: Engineering, Vol. 100, pp. 44–55, 2016.
[14]-M.Marjanovic, D.Vuksanovic, free vibrations of laminated composite shells using the rotation-free plate elements based on reddy’s layerwise discontinuous displacement model, composite structures, Vol.156, pp. 320-332, 2016.
[15]- R.Nezam-Eslami, A.Esmailizadeh, H.Khosravi, M.R.Zamani, Analysis of linear vibrational behavior of anisogrid lattice composite conical shells formed by helical ribs, journal of tarbiat modares, Vol.17,No.3, pp. 251-262, 2017.
[16]- M.Zarei, G.H.Rahimi, Free Vibration Analysis of Grid Stiffened Composite Conical Shells, journal of science and technology of composites, Vol.4,No.1, pp. 1-8, 2017.
[17]- M.Zarei, G.H.Rahimi, Free Vibration Analysis of Rotating Grid Stiffened Composite Cylindrical Shells, journal of tarbait modares, Vol.16,No.9, pp. 175-185, 2017.
Modares Mechanical Engineering
Volume 18, Issue 7
November 2018
Pages 108-118