DeslauriersDubuc interpolating wavelet beam finite element
A beam finite element based on DeslauriersDubuc interpolating wavelets (Interpolets) is formulated. Some properties of Interpolets are presented (rational filter coefficients, smoothness and symmetry). Expressions for derivatives and connection coefficients are developed. Interpolet-based shape functions are obtained and presented graphically. Expressions for stiffness matrix and force vector are derived. Several examples with increasing level of complexity are successfully tested and results compared with analytical and standard beam element solutions.
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