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Titlebook: Random vibrations of elastic systems; V. V. Bolotin,H. H. E. Leipholz Book 1984 Springer Science+Business Media Dordrecht 1984 development

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0924-2112 anges. I express my gratitude to Martinus Nijhoff Publishers BV for entrust­ ing me with the task of editing the English translation, and to F.J. van Drunen, pu978-90-481-8280-0978-94-017-2842-3Series ISSN 0924-2112
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Random Vibrations of Nonlinear Systems,ns is rather complicated. In this case, approximate methods prevail, only a few of which can be strictly substantiated. Most of them are based on physical intuition and experiment. This holds true for stochastic problems as well. For linear systems, we have reliable exact methods (the method of diff
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Random Loadings Acting on Mechanical Systems,tion with the environment, or to consider the vibrations of the system and processes taking place in the environment simultaneously. Problems of this kind often arise in acoustics and hydro-aero-elasticity. Henceforth, loadings, if it is not specially mentioned, are assumed to be stochastically given.
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Reliability and Longevity under Random Vibrations,t of time changes in the system’s parameters (general, physical or parametric theory of reliability). To a great extent, this theory is based on the analysis of fluctuations of random processes and fields describing the system’s behaviour.
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Parametrically Excited Random Vibrations,lly in time. For certain relations between the frequency of the external force and the natural frequencies of the rod’s flexural vibrations, the rod’s rectilinear shape becomes unstable, i.e., a small initial perturbation causes the development of flexural vibrations of a large amplitude.
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Random Loadings Acting on Mechanical Systems, loadings will be considered in this chapter. Loadings will he interpreted not only as external forces, but also as external kinematic effects (i.e., the prescribed displacements of a system or its points), and as the effects of heat, radiation, etc. If the intensity of a source of external influenc
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