How to cite this paper
Yadav, D., Sharma, A & Shivhare, V. (2015). Free vibration analysis of isotropic plate with stiffeners using finite element method.Engineering Solid Mechanics, 3(3), 167-176.
Refrences
Aksu, G. & Ali, R. (1976). Free vibration analysis of stiffened plates using finite difference method. Journal of Sound and vibration, 48, 15-25.
Barton, M.V. (1951). Vibration of rectangular and skew cantilever plate. Journal of Applied Mechanics, 18, 129-134.
Bardell, N. S. and Mead, D. J. (1989). Free vibration of an orthogonally stiffened cylindrical shell, part i: discrete line simple supports. Journal of Sound and Vibration, 134 (1), 29-54.
Dawe D.J. (1966). Parallelogrammic elements in the solution of rhombic cantilever plate problems. Journal of Strain Analysis, 1 (3).
Gorman, D. J. (1976). Free vibration analysis of cantilever plates by the method of superposition. Journal of Sound and Vibration 49, 453-467.
Gupta, B. V. R., Ganesan, N. & Narayanan, S. (1986). Finite Element Free Vibration Analysis of damped stiffened panels. Computers and Structures 24 (3), 485-489.
Hamedani, S. J., Khedmati, M. R. & Azkat, S. (2012). Vibration analysis of stiffened plates using finite element method. Latin American Journal of Solids and Structures, 9, 1 – 20.
Laura, P. A. A. & Gutierrez, R. H. (1976). A note on transverse vibrations of stiffened rectangular plates with edges elastically restrained against rotation. Journal of Sound and Vibration, 48, 15-25.
Leissa, A.W. (1973). The free vibration of rectangular plates. Journal of Solids and Vibration, 31 (3), 257-293.
Liu, W. H. & Chang, I. B. (1989). Some studies on the free vibration of cantilever plates with uniform and non-uniform thickness. Journal of Sound and Vibration, 130, 337-341.
Liu, W. H. & Chang, I. B. (1990). Deflections and vibrations for cantilever plate with stiffeners. Journal of Sound and Vibration, 136, 511-518.
Liu, W.H. & Chen, W.C. (1992), Vibration analysis of skew cantilever plates with stiffeners. Journal of Sound and Vibration, 159 (1), 1-11.
Mizusawa, T. Kajita, T. & Naruoka, M. (1979). Vibration of skew plates by using B-spline function. Journal of Sound and Vibration, 62, 301-308.
Mukherjee, A. & Mukhopadhyay, M. (1988). Finite element free vibration of eccentrically stiffened plates. Computers and Structures, 30 (6), 1303-1317.
Mustafa, B.A.J. & Ali, R. (1987). Free vibration analysis of multi-symmetric stiffened shells. Computers and Structures, 27 (6), 803-810.
Nair, P. S. & Rao, M. S. (1984). On vibration of plates with varying stiffener length. Journal of Sound and Vibration, 95, 19-30.
Qing, G., Qiu, J., & Liu, Y. (2006). Free vibration analysis of stiffened laminated plates. International Journal of Solids and Structures, 43, 1357–137.
Samanta, A. & Mukhopadhyay, M. (2004).Free vibration analysis of stiffened shells by the finite element technique. European Journal of Mechanics A/solids, 23, 159-179.
Sharma, A.K. & Mittal, N.D. (2010). Review on stress and vibration analysis of composite plates. Journal of Applied Sciences, 10 (23), 3156-3166.
Sharma, A.K. & Mittal, N.D., Sharma A. (2011). Free vibration analysis of moderately thick antisymmetric cross-ply laminated rectangular plates with elastic edge constraints. International Journal of Mechanical Sciences, 53, 688–695.
Sharma, A.K. & Mittal, N. D. (2013). Free vibration analysis of laminated composite plates with elastically restrained edges using FEM. Central European Journal of Engineering, 3 (2), 306-315.
Sharma, A.K. & Mittal, N.D. (2014). Free vibration analysis of moderately thick Anti-symmetric angle ply laminated rectangular plates with elastic edge constraints. Mechanics of Advanced Materials and Structures, 21, 341–348.
Sivakumaran, K.S. (1987). Natural frequencies of symmetrically laminated rectangular plates with free edges. Composite Structures, 7, 191-204.
Wu, J.R. and Liu, W. H. (1988). Vibration of rectangular plates with edge restraints and intermediate stiffeners. Journal of Sound and Vibration, 123, 103-113.
Barton, M.V. (1951). Vibration of rectangular and skew cantilever plate. Journal of Applied Mechanics, 18, 129-134.
Bardell, N. S. and Mead, D. J. (1989). Free vibration of an orthogonally stiffened cylindrical shell, part i: discrete line simple supports. Journal of Sound and Vibration, 134 (1), 29-54.
Dawe D.J. (1966). Parallelogrammic elements in the solution of rhombic cantilever plate problems. Journal of Strain Analysis, 1 (3).
Gorman, D. J. (1976). Free vibration analysis of cantilever plates by the method of superposition. Journal of Sound and Vibration 49, 453-467.
Gupta, B. V. R., Ganesan, N. & Narayanan, S. (1986). Finite Element Free Vibration Analysis of damped stiffened panels. Computers and Structures 24 (3), 485-489.
Hamedani, S. J., Khedmati, M. R. & Azkat, S. (2012). Vibration analysis of stiffened plates using finite element method. Latin American Journal of Solids and Structures, 9, 1 – 20.
Laura, P. A. A. & Gutierrez, R. H. (1976). A note on transverse vibrations of stiffened rectangular plates with edges elastically restrained against rotation. Journal of Sound and Vibration, 48, 15-25.
Leissa, A.W. (1973). The free vibration of rectangular plates. Journal of Solids and Vibration, 31 (3), 257-293.
Liu, W. H. & Chang, I. B. (1989). Some studies on the free vibration of cantilever plates with uniform and non-uniform thickness. Journal of Sound and Vibration, 130, 337-341.
Liu, W. H. & Chang, I. B. (1990). Deflections and vibrations for cantilever plate with stiffeners. Journal of Sound and Vibration, 136, 511-518.
Liu, W.H. & Chen, W.C. (1992), Vibration analysis of skew cantilever plates with stiffeners. Journal of Sound and Vibration, 159 (1), 1-11.
Mizusawa, T. Kajita, T. & Naruoka, M. (1979). Vibration of skew plates by using B-spline function. Journal of Sound and Vibration, 62, 301-308.
Mukherjee, A. & Mukhopadhyay, M. (1988). Finite element free vibration of eccentrically stiffened plates. Computers and Structures, 30 (6), 1303-1317.
Mustafa, B.A.J. & Ali, R. (1987). Free vibration analysis of multi-symmetric stiffened shells. Computers and Structures, 27 (6), 803-810.
Nair, P. S. & Rao, M. S. (1984). On vibration of plates with varying stiffener length. Journal of Sound and Vibration, 95, 19-30.
Qing, G., Qiu, J., & Liu, Y. (2006). Free vibration analysis of stiffened laminated plates. International Journal of Solids and Structures, 43, 1357–137.
Samanta, A. & Mukhopadhyay, M. (2004).Free vibration analysis of stiffened shells by the finite element technique. European Journal of Mechanics A/solids, 23, 159-179.
Sharma, A.K. & Mittal, N.D. (2010). Review on stress and vibration analysis of composite plates. Journal of Applied Sciences, 10 (23), 3156-3166.
Sharma, A.K. & Mittal, N.D., Sharma A. (2011). Free vibration analysis of moderately thick antisymmetric cross-ply laminated rectangular plates with elastic edge constraints. International Journal of Mechanical Sciences, 53, 688–695.
Sharma, A.K. & Mittal, N. D. (2013). Free vibration analysis of laminated composite plates with elastically restrained edges using FEM. Central European Journal of Engineering, 3 (2), 306-315.
Sharma, A.K. & Mittal, N.D. (2014). Free vibration analysis of moderately thick Anti-symmetric angle ply laminated rectangular plates with elastic edge constraints. Mechanics of Advanced Materials and Structures, 21, 341–348.
Sivakumaran, K.S. (1987). Natural frequencies of symmetrically laminated rectangular plates with free edges. Composite Structures, 7, 191-204.
Wu, J.R. and Liu, W. H. (1988). Vibration of rectangular plates with edge restraints and intermediate stiffeners. Journal of Sound and Vibration, 123, 103-113.