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Exploration of substitution of repeated mode subspaces for closely spaced mode subspaces

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Abstract

A new quantitative concept is introduced in this paper, which may be used to facilitate the measurement of the controllability of a subspace≈subspace controllability degree. Then the concrete form of the subspace controllability degree of a flexible structure is derived, and the errors of subspace controllability degree and dynamical response caused by the substitution of a repeated mode subspace for a closely spaced mode subspace are discussed. All the results show that this substitution is rational under some conditions.

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The project supported by the National Natural Science Foundation of China and the Doctoral Research Foundation of Chinese Ministry of Education.

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Bohou, X., Ronghao, B. Exploration of substitution of repeated mode subspaces for closely spaced mode subspaces. Acta Mech Sinica 12, 65–72 (1996). https://doi.org/10.1007/BF02486763

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  • DOI: https://doi.org/10.1007/BF02486763

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