Free vibration analysis of laminated composite and sandwich shells using wavelet finite element method

Abstract

The present work carries out free vibration analysis of laminated composite shells and panels using wavelet finite element method (WFEM). Two different wavelets, namely, Haar and B-spline wavelet on the interval (BSWI) are employed. The analysis is carried out using higher-order zigzag theory (HOZT), and the WFEM is set up according to Hamilton’s principle. The two-dimensional scaling functions are employed to substitute the interpolation functions as used in the FEM. Owing to the capability of the WFEM to work efficiently with lesser degrees of freedom compared to the traditional FEM, the proposed methodology is validated with the results available.

Keywords:

• Wavelet finite element method
• higher-order zigzag theory
• Haar wavelet
• BSWI wavelet
• doubly-curved shells and panels
• frequency

Acknowledgment

The authors extend their appreciation to the Deanship of Research and Graduate Studies at King Khalid University for funding this work through Large Research Project under grant number RGP2/54/45.

Disclosure statement

The authors declare there exist no conflict of interest in any form regarding the work presented in the present manuscript.