Abstract
A higher order version of the Error Matrix Method (EMM) is proposed to increase the accuracy of finite element error localization. The method retains a user specified number of terms from the appropriate binomial expansion. Jacobi's iterative method is then used to solve the set of nonlinear equations. It is hypothesized that keeping the higher order terms will improve the error identification for the same number of coordinate degrees-of-freedom and modes used in first order EMM.The method is implemented on nine-degree-of-freedom and Euier-Bemoulli beam numerical examples. Although a large number of measured coordinates and modes are needed, the magnitude of the errors is more accurately identified.
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