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A stability criterion for circulatory systems

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Abstract

A criterion which contains necessary and sufficient conditions for spectral stability, flutter and divergence instability of circulatory systems is formulated. The conditions are expressed via the properties of a quadratic form with the coefficients expressed by means of the traces of powers of the non-conservative stiffness matrix. As corollaries, this general algebraic result leads to a number of stability conditions known in the literature.

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, University of Montenegro, Cetinjski put bb, 81000, Podgorica, Montenegro

    Ranislav M. Bulatovic

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  1. Ranislav M. Bulatovic
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Correspondence to Ranislav M. Bulatovic.

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Bulatovic, R.M. A stability criterion for circulatory systems. Acta Mech 228, 2713–2718 (2017). https://doi.org/10.1007/s00707-017-1841-4

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  • DOI: https://doi.org/10.1007/s00707-017-1841-4

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