Summary
A finite element formulation ([1, 2]) is used to investigate the dynamical behaviour of elastic structures loaded by nonconservative forces ([3]). Stability analysis is reduced to study of vibration of nonconservative mechanical system finite number of degrees of freedom. Dynamic properties of the system are described by a set of homogeneous ordinary differential equations. Necessary conditions for the perturbations to be ideal and the asymptotic formulas for critical values are considered. The structure of the matrices which realize the ideal perturbations is discussed. The formula, evaluating the defect of the damping matrix, is presented for the case of defective perturbations.
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© 1990 Springer-Verlag Berlin Heidelberg
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Banichuk, N.V., Bratus, A.S. (1990). Stabilizing and Destabilizing Effects of Small Damping for Structures with Finite Number of Degrees of Freedom. In: Kuhn, G., Mang, H. (eds) Discretization Methods in Structural Mechanics. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-49373-7_36
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DOI: https://doi.org/10.1007/978-3-642-49373-7_36
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