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Structural Engineering and Mechanics Volume 28, Number 6, April20 2008 , pages 749-765 DOI: https://doi.org/10.12989/sem.2008.28.6.749 |
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Axisymmetric vibrations of layered cylindrical shells of variable thickness using spline function approximation |
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K.K. Viswanathan, Kyung Su Kim, Jang Hyun Lee, Chang Hyun Lee and Jae Beom Lee
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| Abstract | ||
| Free axisymmetric vibrations of layered cylindrical shells of variable thickness are studied using spline function approximation techniques. Three different types of thickness variations are considered namely linear, exponential and sinusoidal. The equations of axisymmetric motion of layered cylindrical shells, on the longitudinal and transverse displacement components are obtained using Love?s first approximation theory. A system of coupled differential equations on displacement functions are obtained by assuming the displacements in a separable form. Then the displacements are approximated using Bickley-spline approximation. The vibrations of two-layered cylindrical shells, made up of several types of layered materials and different boundary conditions are considered. Parametric studies have been made on the variation of frequency parameter with respect to the relative layer thickness, length ratio and type of thickness variation parameter. | ||
| Key Words | ||
| free vibration; cylindrical shell; spline method; variable thickness; eigenvalues. | ||
| Address | ||
| K.K. Viswanathan, Kyung Su Kim, Jang Hyun Lee, Chang Hyun Lee and Jae Beom Lee: Impact & Fatigue Fracture Lab., Department of Naval Architecture& Ocean Engineering, Inha University, #253, Yonghyun-dong, Nam-gu, Incheon 402-751, Korea | ||