Abstract
Let
be the equations of motion of a general multi-degree-of-freedom non-linear system. In Eq.(5.1) \( {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{u}} \) is the generalized displacement vector; a superimposed dot means time derivation; \( \mathbb{L}{{}_{i}} \)() is the total internal force in the i-th degree-of-freedom direction and \( {{{\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{f}}}_{1}} \)(t) and \( {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{f}} \)(t) are two random excitation vectors with zero mean.
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© 1987 Martinus Nijhoff Publishers, Dordrecht
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Casciati, F. (1987). Approximate Methods in Non-Linear Stochastic Dynamics. In: Schuëller, G.I., Shinozuka, M. (eds) Stochastic Methods in Structural Dynamics. Mechanics: Dynamical Systems, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3681-2_5
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