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Titlebook: Dynamic Motion: Chaotic and Stochastic Behaviour; F. Casciati Book 1993 Springer-Verlag Wien 1993 dynamics.material.modeling.probability.V

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Response of Linear and Non-Linear Structural Systems under Gaussian or Non-Gaussian Filtered Input,ich present non-linearities is more recent and exact solutions are available for few special cases only. Furthermore, while a comprehensive linear theory exists, no correspondent general theoretical framework for non-linear problems has been formulated due to the complexity of these problems.
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D,nds or ocean waves. In these circumstances the structural response needs to be adequately described in a probabilistic sense, by evaluating the cumulants or the moments of any order of the response (see e.g. [1, 2]). In particular, for linear systems excited by normal input, the response process is
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E,s the modelling, the simulation and the understanding of an evolutionary physical system by means of the computer. It is to stress that, by means of the simulation of the physical system through a ., one hopes to achieve a better understanding of the unknown and forbidden structures of the system [1
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F,he concepts of stochastic process theory, is a relatively new engineering discipline, interest in this field has grown rapidly in the last few decades. The result is a very extensive literature. However, while in the random vibration of linear structures there are now several papers which cover both
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F,-linearity arises from geometrical considerations and/or material properties. Since exact analytical solutions can be found only in the case of systems idealized by one or few degrees of freedom, approximate methods have been developed. For practical applications in structural engineering the techni
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