FINITE ELEMENT ERROR LOCALIZATION USING THE ERROR MATRIX METHOD

摘要

A higher order version of the Error Matrix Method isrnproposed to increase the accuracy in the finite element errorrnlocalization. The method retains a user specified number ofrnterms from the appropriate binomial expansion. Jacobi'srniterative method is then proposed to solve the set of nonlinearrnequations. It is hypothesized that keeping the higher orderrnterms will improve the error identification for the same numberrnof coordinate degrees-of-freedom and modes. The method isrnimplemented on a nine degree-of-freedom and an Euler-Bernoullirnbeam numerical examples. It is shown that while there needs tornbe a large number of measured coordinates and modes, thernmagnitude of the errors are more accurately identified.