Abstract
The difficulties in obtaining the probability solutions of nonlinear random multi-degree-of-freedom (MDOF) systems are underlined. For the MDOF systems which are excited by white noise, a new method proposed recently is applied and extended to obtain their approximate probability density function (PDF) solution. Numerical results are presented to validate the method for the highly nonlinear random MDOF systems.
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Er, GK., Iu, V.P. (2000). A Consistent and Effective Method for Nonlinear Random Oscillations of MDOF Systems. In: Van Dao, N., Kreuzer, E.J. (eds) IUTAM Symposium on Recent Developments in Non-linear Oscillations of Mechanical Systems. Solid Mechanics and Its Applications, vol 77. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4150-5_9
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DOI: https://doi.org/10.1007/978-94-011-4150-5_9
Publisher Name: Springer, Dordrecht
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