Higher-order Haar wavelet method for vibration analysis of nanobeams

J. Majak (1) , B. Shvartsman (1) , M. Ratas (1) , David Bassir (2) , M. Pohlak (1) , K. Karjust (1) , M. Eerme (1)

1 Tallinn University
2 CB - CB - Centre Borelli - UMR 9010

In this study, the recently developed higher-order Haar wavelet method (HOHWM) was applied in the vibration analysis of nanobeams. The method was evaluated for different boundary conditions. The complexity analysis of HOHWM was performed, and the factors influencing the complexity were determined. The numerical results obtained were compared with those of the widely used Haar wavelet method (HWM) and the exact solution. In comparison with HWM, the application of HOHWM decreased the absolute error of the solution and increased the order of convergence.

Keywords: Higher-order Haar wavelet method; Accuracy; Complexity; Nanobeams; Vibration

Domains: Vibrations [physics.class-ph]; Mathematical Physics [math-ph]

J. Majak, B. Shvartsman, M. Ratas, David Bassir, M. Pohlak, et al.. Higher-order Haar wavelet method for vibration analysis of nanobeams. Materials Today Communications, 2020, 25, pp.101290. ⟨10.1016/j.mtcomm.2020.101290⟩. ⟨hal-04551782⟩