Free Vibration Analysis of an Eccentric Thermoelastic Hollow Cylinder

REFERENCES

• D. C. Gazis , Three-Dimensional Investigation of Propagation of Wave in Hollow Cylinder , J. Acoust. Soc. Am. , vol. 31 , pp. 568 – 573 , 1959 .
   Web of Science ®Google Scholar
• I. J. Mirsky , Wave Propagatio in Transversely Isotropic Circular Cylinder , J. Acoust. Soc. Am. , vol. 37 , pp. 1016 – 1026 , 1965 .
   Web of Science ®Google Scholar
• H. S. Paul and G. V. Raman , Wave Propagation in Hollow Pyroelectric Circular Cylinder of Class 6 , Acta Mechanica , vol. 87 , pp. 37 – 46 , 1991 .
   Web of Science ®Google Scholar
• H. S. Paul and G. V. Raman , Wave Propagation in Pyroelectric Cylinder of Arbitrary Cross Section with Circular Cylindrical Cavity , J. Acoust. Soc. Am. , vol. 93 , pp. 1175 – 1181 , 1993 .
   Web of Science ®Google Scholar
• P. A. Martin and J. R. Berger , Waves in Wood: Free Vibrations of Wooden Pole , J. Mech. Phys Solids , vol. 49 , pp. 1155 – 1178 , 2001 .
   Web of Science ®Google Scholar
• E. S. Suhubi and S. Erbay , Longitudinal Wave Propagationed Thermoelastic Cylinder , J. Thermal Stresses , vol. 9 , pp. 279 – 295 , 1986 .
   Web of Science ®Google Scholar
• J. R. Hutchinson and S. A. El-Azhari , Vibrations of Free Hollow Circular Cylinder , J. Appl. Mechs. , vol. 53 , pp. 641 – 647 , 1986 .
   Web of Science ®Google Scholar
• F. H. Chou and J. D. Achenbach , Three-Dimensional Vibration of Orthotropic Hollow Cylinder , ASCE-J. Eng. Mechs. , vol. 98 , pp. 813 – 82 , 1972 .
   Google Scholar
• C. T. Loy and K. Y. Lam , Vibration of Thick Cylindrical Shell on the Basis of Three Dimensional Theory of Elasticity , J. Sound Vib. , vol. 226 , pp. 719 – 737 , 1999 .
   Web of Science ®Google Scholar
• M. R. Mofakhami , H. H. Toudeshky , and Sh. H. Hashemi , Finite Cylinder with Vibrations with Different end Boundary Conditions , J. Sound Vib. , vol. 297 , pp. 293 – 314 , 2006 .
   Web of Science ®Google Scholar
• K. P. Soldatos and V. P. Hadhgeorgian , Three Dimensional Solution of the Free Vibration Problem of Homogeneous Isotropic Cylindrical Shells and Panels , J. Sound Vib. , vol. 137 , pp. 369 – 384 , 1990 .
   Web of Science ®Google Scholar
• J. N. Sharma , Three-Dimensional Vibration Analysis of a Homogeneous Transversely Isotropic Cylindrical Panel , J. Acous. Soc. Am. , vol. 110 , pp. 254 – 259 , 2001 .
   Web of Science ®Google Scholar
• J. N. Sharma and P. K. Sharma , Free Vibration Analysis of Homogeneous Transversely Isotropic Thermoelastic Cylindrically Panel , J. Thermal Stresses , vol. 25 , pp. 169 – 182 , 2002 .
   Web of Science ®Google Scholar
• H. B. Khurasia and S. Rewtant , Vibration Analysis of Circular Plate with Hole , J. Appl. Mechs. , vol. 45 , pp. 215 – 217 , 1978 .
   Web of Science ®Google Scholar
• A. W. Leissa and J. So , Free Vibrations of Thick Hollow Circular Cylinders from Three Dimensional Analysis , ASME J. Vib. Acous. , vol. 119 , pp. 89 – 95 , 1997 .
   Web of Science ®Google Scholar
• P. A. A. Laura , C. P. Filipitch , R. E. Rossi , and J. A. Reyes , Vibrations of Rings of Variable Cross Section , J. Appl. Acousto. , vol. 25 , pp. 225 – 234 , 1988 .
   Web of Science ®Google Scholar
• R. S. Hwang , C. H. J. Fox , and S. McWilliam , The In-plane Vibration of Thin Rings with In-plane Profile Variations-Part-I: General Background with Theoretical Formulation , J. Sound Vib. , vol. 62 , pp. 165 – 180 , 1979 .
   Web of Science ®Google Scholar
• L. Cheng , Y. Y. Li , and L. H. Lam , Vibration Analysis of Annular-Like Plates , J. Sound Vibr. , vol. 262 , pp. 1153 – 1170 , 2003 .
   Web of Science ®Google Scholar
• H. Zhong and T. Yu , Flexural Vibration Analysis of an Eccentric Annular Mindlin Plate , Archives Appl. Mechs. , vol. 77 , pp. 185 – 195 , 2007 .
   Web of Science ®Google Scholar
• M. Seyyed Hasheminejad and Y. Mirzaei , Free Vibration Analysis of an Eccentric Hollow Cylinder Using Exact 3D Elasticity Theory , J. Sound Vibr. , vol. 326 , pp. 687 – 702 , 2009 .
   Web of Science ®Google Scholar
• Y. H. Pao and C. C Mow , Diffraction of Elastic Wave and Stress Wave Concentration , Crane Russak , New York , 1994 .
   Google Scholar
• Ye. A. Ivanov , Diffraction of Electromagnetic Waves on Two Bodies , Nauka I Tekhnika , 1968.
   Google Scholar
• P. K. Sharma , D. Kaur , and J. N. Sharma , Three-Dimensional Vibration Analysis of Thermoelastic Cylindrically Panel with Voids , Int. J. Solids Struct. , vol. 45 , pp. 5049 – 5058 , 2008 .
   Web of Science ®Google Scholar
• J. N. Sharma , Numerical Methods for Engineers and Scientists , Narosa Publishing House , New Delhi , India , 2008 .
   Google Scholar