Vibration analysis of conical shell based on wavelet nite element method
Jiawei Xiang, Toshiro MATSUMOTO · Medical Entomology and Zoology · 2011
A wavelet finite element method is proposed for the vibration analysis of conical shell. The scaling functions of B-spline wavelet on the interval (BSWI) is employed as the multiscale interpolating bases. According to Hamilton’s principle, the free vibration motion equations of BSWI thin truncated conical shell element will be obtained. The fundamental cause of the good performance of BSWI bases lies in that the BSWI scaling functions have the advantage of high approximation precision. Some numerical examples verify the main advantage of the proposed method is the time savings due to the substantially reduced degrees of freedom (DOFs) of BSWI method.