Vibration and Critical Speed of Orthogonally Stiffened Rotating FG Cylindrical Shell Under Thermo-Mechanical Loads Using Differential Quadrature Method

REFERENCES

• A. W. Leissa , Vibration of Shells , SP-288 , NASA , 1973 .
   Google Scholar
• W. Soedel , Vibrations of Shells and Plates , Revised and expanded 2nd ed. Marcel Dekker , New York , 1996 .
   Google Scholar
• J. N. Reddy , Mechanics of Laminated Composite Plates and Shells: Theory and Analysis , 2nd ed. , CRC Press , Boca Raton, FL , 2004 .
   Google Scholar
• K. Y. Lam and C. T. Loy , On Vibrations of Thin Rotating Laminated Composite Cylindrical Shells , Composites Engineering , vol. 4 , pp. 1153 – 1167 , 1994 .
   Web of Science ®Google Scholar
• K. Y. Lam and C. T. Loy , Free Vibrations of a Rotating Multi-Layered Cylindrical Shell, Int. J. Solids Struct. , vol. 32, pp. 647–663, 1995.
   Web of Science ®Google Scholar
• K. Y. Lam and C. T. Loy , Analysis of Rotating Laminated Cylindrical Shells by Different Thin Shell Theories , J. Sound Vibr. , vol. 186 , pp. 23 – 35 , 1995 .
   Web of Science ®Google Scholar
• L. Hua and K. Y. Lam , Frequency Characteristics of a Thin Rotating Cylindrical Shell Using the Generalized Differential Quadrature Method , Int. J. Mech. Sci. , vol. 40 , pp. 443 – 459 , 1998 .
   Web of Science ®Google Scholar
• C. D. Kim and C. W. Bert , Critical Speed of Laminated Composite, Hollow Drive Shafts , Composite Engineering , vol. 3 , pp. 633 – 643 , 1993 .
   Web of Science ®Google Scholar
• X. Zhao , K. M. Liew , and T. Y. Ng , Vibration of Rotating Cross-Ply Laminated Circular Cylindrical Shells with Stringer and Ring Stiffeners , Int. J. Solids Struct. , vol. 39 , pp. 529 – 545 , 2002 .
   Web of Science ®Google Scholar
• A. A. Jafari and M. Bagheri , Free Vibration of Rotating Ring Stiffened Cylindrical Shells with Non-Uniform Stiffener Distribution , J. Sound Vibr. , vol. 296 , pp. 353 – 376 , 2006 .
   Web of Science ®Google Scholar
• A. H. Sofiyev , The Vibration and Stability Behavior of Freely Supported FGM Conical Shells Subjected to External Pressure , Compos. Struct. , vol. 89 , pp. 356 – 366 , 2009 .
   Web of Science ®Google Scholar
• C. T. Loy , K. Y. Lam , and J. N. Reddy , Vibration of Functionally Graded Cylindrical Shells , Int. J. Mech. Sci. , vol. 41 , pp. 309 – 324 , 1999 .
   Web of Science ®Google Scholar
• S. C. Pradhan , C. T. Loy , K. Y. Lam , and J. N. Reddy , Vibration Characteristics of Functionally Graded Cylindrical Shells under Various Boundary Conditions , Appl. Acoust. , vol. 61 , pp. 111 – 129 , 2000 .
   Web of Science ®Google Scholar
• R. Shahsiah and M. R. Eslami , Thermal Buckling of Functionally Graded Cylindrical Shell , J. Therm. Stresses , vol. 26 , pp. 277 – 294 , 2003 .
   Web of Science ®Google Scholar
• H.-S. Shen and N. Noda , Postbuckling of FGM Cylindrical Shells under Combined Axial and Radial Mechanical Loads in Thermal Environments , Int. J. Solids Struct. , vol. 42 , pp. 4641 – 4662 , 2005 .
   Web of Science ®Google Scholar
• S. H. Arshad , M. N. Naeem , N. Sultana , Z. Iqbal , and A. G. Shah , Effects of Exponential Volume Fraction Law on the Natural Frequencies of FGM Cylindrical Shells under Various Boundary Conditions , Arch. Appl. Mech. , vol. 81 , no. 8 , pp. 999 – 1016 , 2011 .
   Web of Science ®Google Scholar
• H. Matsunaga , Free Vibration and Stability of Functionally Graded Circular Cylindrical Shells According to a 2D Higher-Order Deformation Theory , Compos. Struct. , vol. 88 , pp. 519 – 531 , 2009 .
   Web of Science ®Google Scholar
• J. H. Roh , J. H. Woo , and I. Lee , Thermal Post-Buckling and Vibration Analysis of Composite Conical Shell Structures Using Layerwise Theory , J. Therm. Stresses , vol. 32 , pp. 41 – 64 , 2009 .
   Web of Science ®Google Scholar
• E. Carrera , S. Brischetto , and A. Robaldo , Variable Kinematic Model for the Analysis of Functionally Graded Material Plates , AIAA J. , vol. 46 , pp. 194 – 203 , 2008 .
   Google Scholar
• E. Carrera , S. Brischetto , M. Cinefra , and M. Soave , Refined and Advanced Models for Multilayered Plates and Shells Embedding Functionally Graded Material Layers , Mech. Adv. Mater. Struct. , vol. 17 , no. 8 , pp. 603 – 621 , 2010 .
   Web of Science ®Google Scholar
• M. Cinefra , S. Belouettar , M. Soave , and E. Carrera , Variable Kinematic Models Applied to Free-Vibration Analysis of Functionally Graded Material Shells , Eur. J. Mech. A/Solids , vol. 29 , pp. 1078 – 1087 , 2010 .
   Web of Science ®Google Scholar
• G. G. Sheng and X. Wang , Effects of Thermal Loading on the Buckling and Vibration of Ring-Stiffened Functionally Graded Shell , J. Therm. Stresses , vol. 30 , pp. 1249 – 1267 , 2007 .
   Web of Science ®Google Scholar
• Y. Wang , R. Liu , and X. Wang , On Free Vibration Analysis of Non-Linear Piezoelectric Circular Shallow Spherical Shells by the Differential Quadrature Element Method , J. Sound Vibr. , vol. 245 , pp. 179 – 185 , 2001 .
   Web of Science ®Google Scholar
• K. M. Liew , T. Y. Ng , and J. Z. Zhang , Differential Quadrature-Layerwise Modeling Technique for Three Dimensional Analysis of Cross-Ply Laminated Plates of Various Edge Supports, Comput. Methods Appl. Mech. Engr. , vol. 191, pp. 3811–3832, 2002.
   Web of Science ®Google Scholar
• G. Karami and P. Malekzadeh , A New Differential Quadrature Methodology for Beam Analysis and the Associated Differential Quadrature Element Method , Comput. Methods Appl., Mech. Engrg. , vol. 191 , pp. 3509 – 3526 , 2002 .
   Web of Science ®Google Scholar
• T. Y. Ng , L. Hua , and K. Y. Lam , Generalized differential quadrature for free vibration of rotating composite laminated conical shell with various boundary conditions , Int. J. Mech. Sci. , vol. 45 , pp. 567 – 587 , 2003 .
   Web of Science ®Google Scholar
• Y. Q. Huang and Q. S. Li , Bending and Buckling Analysis of Antisymmetric Laminates Using the Moving Least Square Differential Quadrature Method, Comput. Methods Appl. Mech. Engrg. vol. 193, pp. 3471–3492, 2004.
   Google Scholar
• X. Wang and Y. Wang , Free Vibration Analyses of Thin Sector Plates by the New Version of Differential Quadrature Method , Comput. Methods Appl. Mech. Engrg. , vol. 193 , pp. 3957 – 3971 , 2004 .
   Web of Science ®Google Scholar
• X. Wang , Nonlinear Stability Analysis of Thin Doubly Curved Orthotropic Shallow Shells by the Differential Quadrature Method , Comput. Methods Appl. Mech. Engr. , vol. 196 , pp. 2242 – 2251 , 2007 .
   Web of Science ®Google Scholar
• H. Haftchenari , M. Darvizeh , A. Darvizeh , R. Ansari , and C. B. Sharama , Dynamic Analysis of Composite Cylindrical Shells Using Differential Quadrature Method (DQM) , Compos. Struct. , vol. 78 , pp. 292 – 298 , 2007 .
   Web of Science ®Google Scholar
• C. Shu , Differential Quadrature and its Application in Engineering , Springer , Berlin , 2000 .
   Google Scholar
• F. Ebrahimi and A. Rastgo , An Analytical Study on the Free Vibration of Smart Circular Thin FGM Plate Based on Classical Plate Theory , Thin-Walled Struct. , vol. 46 , pp. 1402 – 1408 , 2008 .
   Web of Science ®Google Scholar
• K. Y. Lam and W. Qian , Vibrations of Thick Rotating Laminated Composite Cylindrical Shells , J. Sound Vibr. , vol. 225 , no. 3 , pp. 483 – 501 , 1999 .
   Web of Science ®Google Scholar
• M. Talebitooti , M. Ghayour , S. Ziaei-Rad , and R. Talebitooti , Free Vibrations of Rotating Composite Conical Shells with Stringer and Ring Stiffeners , Arch. Appl. Mech. , vol. 80 , no. 3 , pp. 201 – 215 , 2010 .
   Web of Science ®Google Scholar