Abstract

In this paper we adapt the combinatorial method developed by H. Kuhn to the computation of the eigenvalues of a structure made up of N connected beams. Among its advantages over computations based on finite element models are its accuracy, its speed, and the posibility to easily obtain eigenvalues of large modulus. Two adaptations of H. Kuhn's original method are presented: one with fixed size rectangles and one with variable size rectangles. The scaling of the function characterizing the eigenvalues is also discussed. This question is especially important in the computation of roots of large modulus. Several numerical tests are presented

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