Analysis of free vibrations in axisymmetric functionally graded thermoelastic cylinders

被引：0
作者：
J. N. Sharma
P. K. Sharma
Krishna C. Mishra
机构：
[1] National Institute of Technology,Department of Mathematics
来源：
Acta Mechanica | 2014年 / 225卷
关键词：
Free Vibration; Radial Stress; Hollow Cylinder; Circumferential Stress; Frequency Equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The free vibrations of an axisymmetric functionally graded, transversely isotropic, thermoelastic hollow cylinder have been modeled and analyzed. The material has been assumed to be graded according to a simple power law in the radial coordinate. The Laplace transform method has been used to solve the problem. The complex Laplace transform parameter has directly been used to find the natural frequencies of free vibrations without performing inversion of the transforms. The frequency equations of free vibrations in a hollow cylinder have been solved by using the software Maple. The natural frequencies of the first ten modes for different values of the grading index have been computed numerically for zinc material. The numerical results for radial stress, circumferential stress, temperature change, frequency shift, and thermoelastic damping (inverse quality factor) have been presented graphically. The closed form solutions obtained here are interesting and allow further parametric studies of functionally graded structures. The inhomogeneity parameter is useful in design and it can be tailored for specific applications as a controller.
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页码：1581 / 1594
页数：13
相关论文
共 55 条
  • [1] Tarn J.Q.(2001)Exact solutions for functionally graded anisotropic cylinders subjected to thermal and mechanical loads Int. J. Solids Struct. 38 8189-8206
  • [2] Hargan C.O.(1999)The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials J. Elast. 55 43-59
  • [3] Chan A.M.(1999)Vibration of functionally graded cylindrical shells Int. J. Mech. Sci. 41 309-324
  • [4] Loy C.T(2000)Vibration characteristics of functionally graded cylindrical shells under various boundary conditions Appl. Acoust. 61 111-129
  • [5] Lam K.Y.(2003)3D Vibration analysis of solid and hollow cylinders via Chebyshev–Ritz method Comput. Methods Appl. Mech. Eng. 192 575-1589
  • [6] Reddy J.N.(2001)Transient waves in a functionally graded cylinder Int. J. Solids Struct. 38 3021-3037
  • [7] Pradhan S.C.(2006)Vibration and radial wave propagation velocity in functionally graded thick hollow cylinder Compos. Struct. 76 174-181
  • [8] Loy C.T(1992)The free vibration of inhomogeneous elastic cylinders and spheres Int. J. Solids Struct. 29 2689-2708
  • [9] Lam K.Y.(1999)Effect of radial inhomogeneity on natural frequencies of an anisotropic hollow sphere J. Sound Vib. 226 787-794
  • [10] Reddy J.N.(2002)Free vibrations of functionally graded piezoceramic hollow spheres with radial polarization J. Sound Vib. 251 103-114
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