Mixed FEM of B-spline wavelet on the interval for beam structures based on node parameters

Based on generalized variational principle of long beams and interpolation of shape functions of B-spline wavelet on the interval (BSWI), mixed FEM of BSWI based on node parameters for beam structures was proposed. By taking node parameters as interpolation coefficients, this method has many advantages, such as easy dealing with the boundary conditions and meeting the continuity of node quantities between adjacent elements. And with it, the deflection and moment functions of beam can be calculated simultaneously, the shortcoming of low accuracy in beam moment calculation with traditional FEM can be overcome. Mixed FEM of BSWI based on node parameters can be used in various kinds of analysis of beam structures, and the numerical examples indicate that the method have the advantages of high accuracy and less computation amounts.