Application of Haar wavelet discretization method for free vibration analysis of inversely coupled composite laminated shells

Published on Aug 15, 2021in International Journal of Mechanical Sciences4.631
· DOI :10.1016/J.IJMECSCI.2021.106549
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Abstract
Abstract null null In this paper, the free vibration behavior of inversely coupled composite laminated shells (ICCLSs) are studied using Haar wavelet discretization method (HWDM) for the first time. Two doubly-curved shells are inversely coupled on both end of cylindrical shell, in which the doubly-curved shell contains the elliptical, parabolic and hyperbolic shells. The individual shells are coupled by the continuous condition. The boundary condition is modeled by using the artificial spring technique. Based on the first order shear deformation theory (FSDT), the displacement field of coupled shell are established. All displacement functions containing the boundary and continuous conditions are expanded by Haar wavelet series in the meridional direction, and by trigonometric series in the circumferential direction. The boundary and continuous condition functions are contained to satisfy the constants expressed by Haar wavelet series integral form in the function of main system. The convergence and accuracy of current method for the proposed structure are verified by comparison with the finite element method (FEM). The results show that this method is very reasonable for analyzing the free vibration of ICCLSs. Then, the effects of geometric dimensions, fiber orientation angle and lamination type on the natural frequency of ICCLSs are investigated. In end, the new results on natural frequencies and mode shapes of ICCLS are presented, and they will be benchmark data for further research.
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