Title of article :
Free vibration analysis of cylindrical shells using the Haar wavelet method
Author/Authors :
Xie، نويسنده , , Xiang and Jin، نويسنده , , Guoyong and Liu، نويسنده , , Zhigang، نويسنده ,
Issue Information :
ماهنامه با شماره پیاپی سال 2013
Abstract :
This paper presents a novel and efficient solution for free vibrations of thin cylindrical shells subjected to various boundary conditions by using the Haar wavelet discretization method. The Goldenveizer–Novozhilov shell theory is adopted to formulate the theoretical model. The displacements and their derivatives in the governing equations are represented by Haar wavelet series and their integrals in the axial direction and the Fourier series in the circumferential direction. The constants appearing from the integrating process are determined by boundary conditions and thus the partial differential equations are transformed into a set of algebraic equations. The frequency parameters of the cylindrical shells are obtained by solving the algebraic equations. The present solution is verified by comparing the numerical results with those previously published in literature. Very good agreement is observed. It is shown that accurate frequency parameters can be obtained by using a small number of collocation points and boundary conditions can be easily achieved. The advantages of this current solution method consist in its simplicity, fast convergence, low computational cost and high precision.
Keywords :
Haar wavelet series , Free vibrations , Frequency parameters , Cylindrical Shell
Journal title :
International Journal of Mechanical Sciences
Journal title :
International Journal of Mechanical Sciences