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  • 1
    Electronic Resource
    Electronic Resource
    Iterative calculation of strongly nonlinear self-vibrating viscoelastic mechanical systems (1993)
    Springer
    Journal of mathematical sciences 65 (1993), S. 1455-1458 
    Details
    ISSN: 1573-8795
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider self-excited vibrations of strongly nonlinear mechanical systems obeying the hereditary theory of viscoelasticity. using the Bubnov-Galerkin method, the problem is reduced to a system of ordinary nonlinear integrodifferential equations. The normal modes of vibration of nonlinear conservative elastic systems are chosen as the unperturbed solutions. Self-vibrating solutions are found by iteration to any degree of accuracy. The process converges for certain restrictions on the unperturbed functions and on the small parameter of the problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01105296
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