LI Wen-da, DU Jing-tao, YANG Tie-jun, LIU Zhi-gang. Traveling Wave Mode Characteristics of Rotating Functional Gradient Material Cylindrical Shell Structures With Elastic Boundary Constraints[J]. Applied Mathematics and Mechanics, 2015, 36(7): 710-724. doi: 10.3879/j.issn.1000-0887.2015.07.004
Citation: LI Wen-da, DU Jing-tao, YANG Tie-jun, LIU Zhi-gang. Traveling Wave Mode Characteristics of Rotating Functional Gradient Material Cylindrical Shell Structures With Elastic Boundary Constraints[J]. Applied Mathematics and Mechanics, 2015, 36(7): 710-724. doi: 10.3879/j.issn.1000-0887.2015.07.004

Traveling Wave Mode Characteristics of Rotating Functional Gradient Material Cylindrical Shell Structures With Elastic Boundary Constraints

doi: 10.3879/j.issn.1000-0887.2015.07.004
Funds:  The National Natural Science Foundation of China(11202056)
  • Received Date: 2015-01-26
  • Rev Recd Date: 2015-04-28
  • Publish Date: 2015-07-15
  • The traveling wave mode characteristics of rotating functional gradient material (FGM) cylindrical shells in free vibration and the effects of elastic boundary constraints were analyzed, in which the physical properties of FGM were expressed as exponential functions varying along the thickness direction. Based on Love’s shell theory, the vibration displacements in the 3 directions were constructed in the form of modified Fourier series to improve the derivative continuity of displacement functions on each boundary. Then the energy description and Rayleigh-Ritz method were combined to formulate the eigen-equations of rotating FGM cylindrical shells. Comparison between the current results and those from other approaches in previous literatures was made to verify the correctness and convergence of the present method. Subsequently, the effects of FGM properties, geometric parameters, boundary conditions and constraint stiffnesses on the traveling wave mode characteristics of rotating FGM cylindrical shells were studied in detail. From the computed results, it is clear that the boundary conditions have significant effects on the traveling wave mode characteristics, especially when the circumferential wave number or the length-to-radius ratio L/R of a shell is relatively small; while the influence of boundary conditions decreases gradually with the thickness-to-radius ratio H/R.Additionally, the effects of boundary constraint stiffnesses on the traveling wave mode characteristics are greatly dependent on the mode order of a rotating FGM cylindrical shell, the influence of FGM properties on the traveling wave mode characteristics increases with the mode order.
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