Rapid heating induced vibration of a laminated shell with the GDQ method

Open Mechanics Journal

Volumn 3, Issue 1, 2009, Pages 1-5

  Hong, C C ^a  

^a HSIUPING INSTITUTE OF TECHNOLOGY   (Taiwan)

Author keywords

GDQ; Generalized differential quadrature; Insulated vibration; Laminated shell; Rapid uniform heat

Indexed keywords

EID: 84856540623     PISSN: None     EISSN: 18741584     Source Type: Journal    
DOI: 10.2174/1874158400903010001     Document Type: Article

References (19)

1. Jadeja ND, Loo TC. Heat induced vibration of a rectangular plate. J Eng Ind 1974; 96: 1015-21.
2. Chung H. Free vibration analyses of circular cylindrical shells. J Sound Vib 1981; 74(3): 331-50.
3. Bert CW, Jang SK, Striz AG. Two new approximate methods for analyzing free vibration of structural components. AIAA J 1988; 26(5): 612-8.
4. Shu C, Du H. Implementation of clamped and simply supported boundary conditions in the GDQ free vibration analyses of beams and Plates. Int J Solid Struct 1997; 34(7): 819-35.
5. Hua L, Lam KY. Frequency characteristic of a thin rotating cyclindrical shell using the generalized differential quadrature method. Int J Mech Sci 1998; 40(5): 443-59.
6. Jane KC, Hong CC. Thermal bending analysis of laminated orthotropic plates by the generalized differential quadrature method. Mech Res Commun 2000; 27(2): 157-64.
7. Hong CC, Jane KC. Shear deformation in thermal vibration analysis of laminated plates by the GDQ method. Int J Mech Sci 2003; 45(1): 21-36.
8. Hong CC, Jane KC. Shear deformation in thermal bending analysis of laminated plates by the GDQ method. Mech Res Commun 2003; 30(2): 175-86.
9. Dym CL. Some new results for the vibrations of circular cylinders. J Sound Vib 1973; 29: 189-205.
10. Yilbas BS, Kalyon M. Analytical solution for multilayer assembly including heating and cooling cycles with laser pulse parameter variation. Opt Lasers Eng 2006; 44: 1219-34.
11. Maki S, Ishiguro M, Mori KI, Makino H. Thermo-mechanical treatment using resistance heating for production of fine grained heat-treatable aluminum alloy sheets. J Mater Process Technol 2006; 177: 444-7.
12. Huang ZF, Tan KH. Effects of external bending moments and heating schemes on the responses of thermally restrained steel columns. Eng Struct 2004; 26: 769-80.
13. Boley BA, Barber AD. Dynamic response of beams and plates to rapid heating. J Appl Mech, Trans ASME 1957; 79: 413-6.
14. Brull MA. Dynamic response of beams and plates to rapid heating. J Appl Mech, Trans ASME 1958; 80: 309-10.
15. Hong CC. Thermal vibration of magnetostrictive material in laminated plates by the GDQ method. Open Mech J 2007; 1: 29-37.
16. Hong CC, Liao HW, Lee LT, Ke JB, Jane KC. Thermally induced vibration of a thermal sleeve with the GDQ method. Int J Mech Sci 2005; 47: 1789-806.
17. Whitney JM. Structural analysis of laminated anisotropic plates. lancaster, PA, USA: Technomic Publishing Co. Inc., New Holland Avenue 1987.
18. Carslaw HS, Jaeger JC. Conduction of heat in solids, 2nd ed. London: Oxford University Press 1959.
19. Hetnarski RB. Thermal stresses II. Amsterdam: Elsevier Science Publishers B. V., 1987; pp. 332-6.