Finite element analysis of Euler beam using multi-wavelets based on cubic Hermite spline function on interval
Shiyong Jiang · Journal of Hohai University · 2012
Based on the wavelet multi-resolution concept,this paper presents the formulation of the Euler beam element using multi-wavelets based on the cubic Hermite spline function on the interval.According to the principle of minimum potential energy,the finite element equilibrium equation for the Euler beam was deduced.The results show that the calculation accuracy of the wavelet element could be voluntarily adjusted by changing the scaling level and grid repartitioning,and it was the same as that of traditional Euler beam elements with equivalent grids.In addition,this wavelet element presented the correlation between the wavelet finite element and traditional finite element in a more explicit manner than other wavelet elements.