Structural Engineering and Mechanics

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Buckling and vibration behavior of a non-uniformly heated isotropic cylindrical panel

  • Bhagata, Vinod S. (Department of Mechanical Engineering, National Institute of Technology Karnataka) ;
  • Pitchaimani, Jeyaraj (Department of Mechanical Engineering, National Institute of Technology Karnataka) ;
  • Murigendrappa, S.M. (Department of Mechanical Engineering, National Institute of Technology Karnataka)
  • Received : 2015.09.27
  • Accepted : 2016.01.11
  • Published : 2016.02.10
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Abstract

This study attempts to address the buckling and free vibration characteristics of an isotropic cylindrical panel subjected to non-uniform temperature rise using numerical approach. Finite element analysis has been used in the present study. The approach involves three parts, in the first part non-uniform temperature field is obtained using heat transfer analysis, in the second part, the stress field is computed under the thermal load using static condition and, the last part, the buckling and pre-stressed modal analysis are carried out to compute critical buckling temperature as well as natural frequencies and associated mode shapes. In the present study, the effect of non-uniform temperature field, heat sink temperatures and in-plane boundary constraints are considered. The relation between buckling temperature under uniform and non-uniform temperature fields has been established. Results revealed that decrease (Case (ii)) type temperature variation field influences the fundamental buckling mode shape significantly. Further, it is observed that natural frequencies under free vibration state, decreases as temperature increases. However, the reduction is significantly higher for the lowest natural frequency. It is also found that, with an increase in temperature, nodal and anti-nodal positions of free vibration mode shapes is shifting towards the location where the intensity of the heat source is high and structural stiffness is low.

Keywords

References

  1. Al-Khaleefi, A.M. (2004), "Thermal buckling of clamped cylindrical panels based on first-order shear deformation theory", Int. J. Struct. Stab. Dyn., 4(3), 313-336. https://doi.org/10.1142/S0219455404001252
  2. Au, F. and Cheung, Y. (1996), "Free vibration and stability analysis of shells by the isoparametric spline finite strip method", Thin Wall. Struct., 24(1), 53-82. https://doi.org/10.1016/0263-8231(95)00040-2
  3. Averill, R.C. and Reddy, J.N. (1993), "Thermomechanical postbuckling analysis of laminated composite shells", Structural Dynamics and Materials Conference, 351-360.
  4. Baruta, A., Madencia, E. and Tesslerb, A. (2000), "Nonlinear thermoelastic analysis of composite panels under non-uniform temperature distribution", Int. J. Solid. Struct., 37, 3681-3713. https://doi.org/10.1016/S0020-7683(99)00119-5
  5. Buchanan, G.R. and Rich, B.S. (2002), "Effect of boundary conditions on free vibration of thick isotropic spherical shells", J. Vib. Control, 8(3), 389-403. https://doi.org/10.1177/107754602023688
  6. Chen, L.W. and Chen, L.Y. (1987), "Thermal buckling of laminated cylindrical plates", Compos. Struct., 8(3), 189-205. https://doi.org/10.1016/0263-8223(87)90069-9
  7. Chen, W., Lin, P. and Chen, L. (1991), "Thermal buckling behavior of thick composite laminated plates under non-uniform temperature distribution", Comput. Struct., 41(4), 637-645. https://doi.org/10.1016/0045-7949(91)90176-M
  8. Ganapathi, M., Patel, B. and Pawargi, D. (2002), "Dynamic analysis of laminated cross-ply composite noncircular thick cylindrical shells using higher-order theory", Int. J. Solid. Struct., 39(24), 5945-5962. https://doi.org/10.1016/S0020-7683(02)00495-X
  9. Ganesan, N. and Pradeep, V. (2005), "Buckling and vibration of circular cylindrical shells containing hot liquid", J. Sound Vib., 287(4-5), 845-863. https://doi.org/10.1016/j.jsv.2004.12.001
  10. Jeng-Shian, C. and Wei-Chong, C. (1991), "Thermal buckling analysis of anti- symmetric laminated cylindrical shell panels", Int. J. Solid. Struct., 27(10), 1295-1309. https://doi.org/10.1016/0020-7683(91)90164-B
  11. Jeon, B.H., Kang, H.W. and Lee, Y.S. (2010), "Free vibration characteristics of thermally loaded cylindrical shell", Mater. Complex Behav., 3, 139-148. https://doi.org/10.1007/978-3-642-12667-3_9
  12. Jeyaraj, P. (2013), "Buckling and free vibration behavior of an isotropic plate under non-uniform thermal load", Int. J. Struct. Stab. Dyn., 12(6), 1-16.
  13. Kdoli, R. and Ganesan, N. (2006), "Buckling and free vibration analysis of functionally graded cylindrical shells subjected to a temperature-specified boundary condition", J. Sound Vib., 289(3), 450-480. https://doi.org/10.1016/j.jsv.2005.02.034
  14. Ko, W.I. (2004), "Thermal buckling analysis of rectangular panels subjected to humped temperature profile heating", Struct. Mech., 57, 1-34.
  15. Kurpa, L., Shmatko, T. and Timchenko, G. (2010), "Free vibration analysis of laminated shallow shells with complex shape using the R-functions method", Compos. Struct., 93(1), 225-233. https://doi.org/10.1016/j.compstruct.2010.05.016
  16. Narita, Y., Ohta, Y. and Saito, M. (1993), "Finite element study for natural frequencies of cross-ply laminated cylindrical shells", Compos. Struct., 26(1-2), 55-62. https://doi.org/10.1016/0263-8223(93)90044-Q
  17. Reddy, J. and Liu, C. (1985), "A higher-order shear deformation theory of laminated elastic shells", Int. J. Eng. Sci., 23(3), 319-330. https://doi.org/10.1016/0020-7225(85)90051-5
  18. Ross, B., Hoff, N. and Horton, W. (1966), "The buckling behavior of uniformly heated thin circular cylindrical shells", Exper. Mech., 6(11), 529-537. https://doi.org/10.1007/BF02327232
  19. Sk, L. and Sinha, P.K. (2005), "Improved finite element analysis of multilayered, doubly curved composite shells", J. Reinf. Plast. Compos., 24(4), 385-404. https://doi.org/10.1177/0731684405044899
  20. Zhao, X., Ng, T.Y. and Liew, K. (2004), "Free vibration of two-side simply- supported laminated cylindrical panels via the mesh-free kp-ritz method", Int. J. Mech. Sci., 46(1), 123-142. https://doi.org/10.1016/j.ijmecsci.2004.02.010

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