ACCELERATED SUBSPACE ITERATION METHOD FOR SIMULATING VARYING EIGENPAIRS OF THIN-WALLED WORKPIECES

Abstract

This paper presents an innovative accelerated subspace iteration method tailored for simulating varying eigenpairs of thin-walled workpieces. The proposed approach significantly boosts computational efficiency by selecting optimal start iteration vectors for a given cutter location. The optimal start iteration vectors are generated based on the previously calculated eigenvectors from the preceding cutter location. A numerical example illustrates the efficiency enhancement achieved by the proposed method, showcasing a notable reduction in computation time. Furthermore, to evaluate the numerical accuracy of the accelerated subspace iteration method, comprehensive comparisons are conducted with results obtained from Abaqus simulations. The outcomes affirm the numerical accuracy of the proposed approach.

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