Thermal Vibration of Composites and Sandwich Laminates Using Refined Higher Order Zigzag Theory
محورهای موضوعی : Engineering
A Chakrabarti
1
(Department of Civil Engineering, Indian Institute of Technology)
S.K Singh
2
(Department of Civil Engineering, School of Engineering, Shiv Nadar University, Dadri)
A.H Sheikh
3
(School of Civil, Environment and Mining Engineering, University of Adelaide,)
کلید واژه: Finite Element, Laminated composites, Higher order, Thermal load,
چکیده مقاله :
Vibration of laminated composite and sandwich plate under thermal loading is studied in this paper. A refined higher order theory has been used for the purpose. In order to avoid stress oscillations observed in the implementation of a displacement based finite element, the stress field derived from temperature (initial strains) have been made consistent with total strain field. So far no study has been reported in literature on the thermal vibration problem based on the refined higher order theory using a FE model. Numerical results are presented for thermal vibration problems to study the influence of boundary conditions, ply orientation and plate geometry on the natural frequencies of these structures.
[1] Noor A.K., Burton W.S., 1992, Three-dimensional solutions for the free vibrations and buckling of thermally stressed multilayered angle-ply composite plates, ASME Journal of Applied Mechanics 59(12): 868-877.
[2] Matsunaga H., 2007, Free vibration and stability of angle-ply laminated composite and sandwich plates under thermal loading, Composite Structures 77: 249-262.
[3] Reddy J.N., Phan N.D., 1985, Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory, Journal of Sound and Vibration 98: 157-170.
[4] Putcha N.S. Reddy J.N., 1986, Stability and natural vibration analysis of laminated plates by using a mixed element based on a refined plate theory, Journal of Sound and Vibration 104 (2): 285-300.
[5] Tessler A., Saether E., Tsui T., 1995, Vibration of thick laminated composite plates, Journal of Sound and Vibration 179: 475-498.
[6] Ganapathi M., Makhecha D.P., 2001, Free vibration analysis of multi-layered composite laminates based on an accurate higher-order theory, Composites: Part B 32: 535-543.
[7] Shi J.W., Nakatani A., Kitagawa H., 2004, Vibration analysis of fully clamped arbitrarily laminated plate, Composite Structures 63:115-122.
[8] Khare R.K., Kant T., Garg A.K., 2004, Free vibration of composite and sandwich laminates with a higher-order facet shell element, Composite Structures 65: 405-418.
[9] Carrera E., 1998, Layer-wise mixed models for accurate vibrations analysis of multilayered plates, ASME Journal of Applied Mechanics 65: 820-828.
[10] Nosier A., Kapania R.K., Reddy J.N., 1993, Free vibration analysis of laminated plates using a layer wise theory, Journal of American Institute of Aeronautics and Astronautics 31(12):2335-2346.
[11] Cho K.N., Bert C.W., Striz A.G., 1991, Free vibrations of laminated rectangular plates analyzed by higher order individual-layer theory, Journal of Sound and Vibration 145(3): 429-442.
[12] Khdeir A.A., Reddy J.N., 1999, Free vibration of laminated composite plates using second-order shear deformation theory, Computers and Structures 71: 617-626.
[13] Messina A., 2001, Two generalized higher order theories in free vibration studies of multilayered plates, Journal of Sound and Vibration 242(1): 125-150.
[14] Shu X., 2001, Vibration and bending of anti symmetrically angle-ply laminated plates with perfectly and weakly bonded layers, Composite Structures 53: 245-255.
[15] Singh B.N., Yadav D., Iyengar N.G.R., 2001, Natural frequencies of composite plates with random material properties using higher order shear deformation theory, International Journal of Mechanical Science 43: 2193-2214.
[16] Kapuria S., Achary G.G.S., 2004, An efficient higher-order zigzag theory for laminated plates subjected to thermal loading, International Journal of Solids and Structures 41: 4661-4684.
[17] Matsunaga H., 2004, A comparison between 2-D single-layer and 3-D layer wise theories for computing inter laminar stresses of laminated composite and sandwich plates subjected to thermal loadings, Composite Structures 64(2): 161-177.
[18] Wang X., Dong K., Wang X.Y., 2005, Hygro thermal effect on dynamic inter laminar stresses in laminated plates with piezoelectric actuators, Composite Structures 71: 220-228.
[19] Zhen W., Wanji C., 2006, An efficient higher-order theory and finite element for laminated plates subjected to thermal loading, Composite Structures 73: 99-109.
[20] Matsunaga H., 2005, Thermal buckling of cross-ply laminated composite and sandwich plates according to a global higher-order deformation theory, Composite Structures 68(4): 439-454.
[21] Matsunaga H., 2006, Thermal buckling of angle-ply laminated composite and sandwich plates according to a global higher-order deformation theory, Composite Structures 72(2): 177-192.
[22] Matsunaga H., 2007, Free vibration and stability of angle-ply laminated composite and sandwich plates under thermal loading. Composite Structures 77: 249-262.
[23] Naganarayana B.P., Rama Mohan P., Prathap G., 1997, Accurate thermal stress predictions using C0 continuous higher-order shear deformable elements. Computer Methods in Applied Mechanics and Engineering 144: 61-75.
