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Springback is a very important factor to influence the quality of sheet metal forming. Accurate prediction and controlling of springback is essential for the design of tools for sheet metal forming. Several approaches have been proposed for springback compensation by modification of the tooling shape. These approaches are iterative finite element methods. In this paper an analytical approach is presented for one step modification of the tooling shape in channel forming process to compensate the springback error. With the help of this approach, the optimum die shape for producing the target shape can be obtained in a few seconds. The algorithm of springback compensation by inverse FE modelling is also presented. The results of the analytical approach coincide with those of FE approach. The accuracy of the obtained results is verified by the experimental results and high precision is achieved. [ABSTRACT FROM AUTHOR]

In this paper, we consider two finite element model updating problem which incorporate the measured modal data into the analytical finite element model, producing an adjusted model on the damping and stiffness, that closely match the experimental modal data. We develop an efficient numerical algorithm for solving this problem. The new algorithm is direct methods which require O(nk²) flops. Here n is the dimension of the coefficient matrices defining the analytical model and k is the number of measured eigenpairs. [ABSTRACT FROM AUTHOR]