Axisymmetric Vibrations of Stepped Cylindrical Shells Made of Composite Materials. Part 21
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Axisymmetric vibrations of stepped cylindrical shells are studied. The shells are made of elastic unidirectionally reinforced composite materials and have a piecewise constant (stepped) thickness. It is assumed that, at the reentrant corners of steps, stable circumferential cracks of constant depth are located. The method of a “massless rotational spring” developed in earlier papers for investigation of homogeneous shells made of isotropic materials is extended to the case of anisotropic composite materials. Analytical expressions are derived for shells with an arbitrary number of steps, and numerical results are presented for shells with one and two steps.
Keywordsanisotropy shell vibration crack
Acknowledgements. A partial support from the Grant 9110 of the ESF “Optimization of structural elements” and from the target financed project SF0180081s08 “Models of applied mathematics and mechanics” is acknowledged.
- 1.G. R. Irwin, “Fracture Mechanics,” in: Eds. By Goodier J. N., Hoff N. J., Structural Mechanics, Pergamon Press, Oxford, 1960.Google Scholar
- 2.H. Okamura, H. W. Liu, Chu Chorng-Shin, and H. Liebowitz, “A cracked column under compression,” Engineering Fracture Mechanics, No. 1, 547–564 (1969).Google Scholar
- 8.L. Zhou and Y. Huang, “Crack effect the elastic buckling behavior of axially and eccentrically loaded columns,” Structural Engng and Mech., 22, 169–184 (2006).Google Scholar
- 12.M. Krawczuk and W. Ostachowicz, “Damage indicators for diagnostic of fatigue cracks in structures by vibration measurements – a Survey,” J. of Theoretical and Appl. Mech., 34, No. 2, 307–326 (1996).Google Scholar
- 16.J. Lellep and L. Roots, “Vibrations of cylindrical shells with circumferential cracks,” WSEAS Transactions on Mathematics, 9, 689–699 (2010).Google Scholar
- 25.M. D. Isaac, I. Ori, Engineering Mechanics of Composite Materials. Oxford University Press, New York, 1994.Google Scholar