Indian Journal of Science and Technology

Open Access Open Access  Restricted Access Subscription Access

Vibration Analysis of Composite Laminated Plates Using Higher-Order Shear Deformation Theory with Zig-Zag Function


Affiliations
1 Department of Mechanical Engineering, JNTU college of engineering, Hyderabad-500085, India
2 Dept of Mechanical Engineering, Godavari Institute of Engineering &Technology, Rajahmundry-533294, India
 

The ever increasing use of composite materials in advanced technology areas like aerospace, automotive, and sports equipments, have prompted to play a prominent role. A theory which can predict accurately the behavior of the composite structure and the failure mechanism is very much essential. In this work an analytical procedure is developed, to investigate the free vibration characteristics of different laminated composite plates based on higher order shear displacement model with zig-zag function. This function improves slope discontinuities at the interfaces of laminated composite plates. The related functions are obtained using the dynamic version of principle of virtual work or Hamilton's principle. The solutions are obtained using Navier's and numerical methods for anti-symmetric cross-ply and angle-ply laminates with a specific type of simply supported boundary conditions SS-1 and SS-2 respectively. In this paper the Numerical results are presented for free vibration of anti-symmetric cross-ply and angle-ply laminated plates. All the solutions presented are close agreement with the theory of elasticity and closed form solutions available in the literature.

Keywords

Vibrational Analysis, Composite Material, Zig-Zag Function
User

  • Anderson RG, Irons BM and Zienkiewicz OC (1968) Vibration and stability of plates using finite elements. J. Solids & Struct. (4)1031-1055.

  • Carrera E (2004) On the use of the Murakami’s zigzag function in the modeling of layered plates and shells. J. Computers & Structures. 82(7-8), 541-554

  • Cetkovic M and Vuksanovic Dj (2009) Bending, free vibrations and buckling of laminated composite and sandwich plates using a layerwise displacement model. J. Composite Struct. 88(2), 219-227.

  • Ji Wang, Yook-kong Yong and Tsutomu Imai (1999) Finite element analysis of the Piezoelectric vibrations of quartz plate resonators with higher-order plate theory. Intl. J. Solids & Struct. 36, 2303-2319.

  • Kant T and Manjunath BS (1990) Higher-order theories for symmetric and unsymmetric fibre reinforced composite beams with C0 finite elements. Finite Element Analysis & Design. 6, 303–320.

  • Kant T and Swaminathan K (2001) Analytical solutions for free vibration of laminated composite and sandwich plates based on a higher-order refined theory. J. Composite Struct. 53, 73-85.

  • Marur SR Kant T (1996) Free vibration analysis of fiber reinforced composite beams using higher order theories and finite element modeling. J. Sound & Vibration. 194(3), 337-351.

  • Reddy JN (1979) Free vibration of anti-symmetric, angle ply laminated plates including transverse shear deformation by the finite element method. J. Sound & Vibration. 66(4), 565-576.

  • Reddy JN (1997) Mechanics of laminated composite plates, theory and analysis. CRC Press.

  • Reddy JN and Kuppusamy T (1984) Natural vibrations of laminated anisotropic plates. J. Sound & Vibration. 94(1) 63-69.

  • Reddy JN and Phan ND (1985) Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory. J. Sound & Vibration. 98(2) 157-170.

  • Shariyat M (2010) A generalized global–local highorder theory for bending and vibration analyses of sandwich plates subjected to thermo-mechanical loads. Intl. J. Mechanical Sci. 52(3), 495-514.

  • Song Xiang, Shao-xi Jiang, Ze-yang Bi, Yao-xing Jin and Ming-sui Yang (2011) A nth-order meshless generalization of Reddy’s third-order shear deformation theory for the free vibration on laminated composite plates. J. Composite Struct. 93 (2), 299- 307.

  • Tongan Wang, Vladimir Sokolinsky, Shankar Rajaram and Steven R Nutt (2008) Consistent higherorder free vibration analysis of composite sandwich plates. J. Composite Struct. 82,(4), 609-662.


Abstract Views: 617

PDF Views: 102




  • Vibration Analysis of Composite Laminated Plates Using Higher-Order Shear Deformation Theory with Zig-Zag Function

Abstract Views: 617  |  PDF Views: 102

Authors

J. Suresh Kumar
Department of Mechanical Engineering, JNTU college of engineering, Hyderabad-500085, India
T. Dharma Raju
Dept of Mechanical Engineering, Godavari Institute of Engineering &Technology, Rajahmundry-533294, India
K. Vijaya Kumar Reddy
Department of Mechanical Engineering, JNTU college of engineering, Hyderabad-500085, India

Abstract


The ever increasing use of composite materials in advanced technology areas like aerospace, automotive, and sports equipments, have prompted to play a prominent role. A theory which can predict accurately the behavior of the composite structure and the failure mechanism is very much essential. In this work an analytical procedure is developed, to investigate the free vibration characteristics of different laminated composite plates based on higher order shear displacement model with zig-zag function. This function improves slope discontinuities at the interfaces of laminated composite plates. The related functions are obtained using the dynamic version of principle of virtual work or Hamilton's principle. The solutions are obtained using Navier's and numerical methods for anti-symmetric cross-ply and angle-ply laminates with a specific type of simply supported boundary conditions SS-1 and SS-2 respectively. In this paper the Numerical results are presented for free vibration of anti-symmetric cross-ply and angle-ply laminated plates. All the solutions presented are close agreement with the theory of elasticity and closed form solutions available in the literature.

Keywords


Vibrational Analysis, Composite Material, Zig-Zag Function

References





DOI: https://doi.org/10.17485/ijst%2F2011%2Fv4i8%2F30904