On Vibration of Three-Layered Cylindrical Shell with Functionally Graded Middle Layer

作者: Zermina Gull Bhutta , MN Naeem , M Imran

DOI: 10.11648/J.AJAM.S.2015030301.16

关键词:

摘要: In the current analysis vibration characteristics of a cylindrical shell composed three layers are examined. Vibration shells is accomplished for their involvement in various areas engineering and technology. Shell behavior depends upon on different geometrical material parameters parameters. They provide maximum stability physical system. There graduation distribution constituent materials functionally graded controlled by polynomial, exponential trigonometric volume exponent fraction laws. present study whereas middle layer consists extreme isotropic nature. Material composition FG governed Impact these laws examined frequencies Love’s thin theory adopted motion equations. The with FGM will be expressed using Raleigh-Ritz technique this method. Three used to define tri-layer shells. Rayleigh-Ritz applied form frequency equation which solved MATLAB software. validity accuracy method investigated number comparisons numerical results.

参考文章(18)
K.Y. Lam, C.T. Loy, EFFECTS OF BOUNDARY CONDITIONS ON FREQUENCIES OF A MULTI-LAYERED CYLINDRICAL SHELL Journal of Sound and Vibration. ,vol. 188, pp. 363- 384 ,(1995) , 10.1006/JSVI.1995.0599
C.T. Loy, K.Y. Lam, J.N. Reddy, Vibration of functionally graded cylindrical shells International Journal of Mechanical Sciences. ,vol. 41, pp. 309- 324 ,(1999) , 10.1016/S0020-7403(98)00054-X
S. Swaddiwudhipong, J. Tian, C.M. Wang, Vibrations of cylindrical shells with intermediate supports Journal of Sound and Vibration. ,vol. 187, pp. 69- 93 ,(1995) , 10.1006/JSVI.1995.0503
Shahid Hussain Arshad, Muhammad Nawaz Naeem, Nazra Sultana, Zafar Iqbal, Abdul Ghafar Shah, Effects of exponential volume fraction law on the natural frequencies of FGM cylindrical shells under various boundary conditions Archive of Applied Mechanics. ,vol. 81, pp. 999- 1016 ,(2011) , 10.1007/S00419-010-0460-5
M N Naeem, C B Sharma, Prediction of natural frequencies for thin circular cylindrical shells Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. ,vol. 214, pp. 1313- 1328 ,(2000) , 10.1243/0954406001523290
S. H. Arshad, M. N. Naeem, N. Sultana, Z. Iqbal, A. G. Shah, Vibration of bilayered cylindrical shells with layers of different materials Journal of Mechanical Science and Technology. ,vol. 24, pp. 805- 810 ,(2010) , 10.1007/S12206-010-0122-0
Abdul Ghafar Shah, Tahir Mahmood, Muhammad Nawaz Naeem, Vibrations of FGM thin cylindrical shells with exponential volume fraction law Applied Mathematics and Mechanics-english Edition. ,vol. 30, pp. 607- 615 ,(2009) , 10.1007/S10483-009-0507-X
Zafar Iqbal, Muhammad N. Naeem, Nazra Sultana, Vibration characteristics of FGM circular cylindrical shells using wave propagation approach Acta Mechanica. ,vol. 208, pp. 237- 248 ,(2009) , 10.1007/S00707-009-0141-Z
S.C. Pradhan, C.T. Loy, K.Y. Lam, J.N. Reddy, Vibration characteristics of functionally graded cylindrical shells under various boundary conditions Applied Acoustics. ,vol. 61, pp. 111- 129 ,(2000) , 10.1016/S0003-682X(99)00063-8