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Random vibration and statistical linearization
J.B. Roberts,Pol D. Spanos +1 more
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TLDR
In this paper, a comprehensive account of statistical linearization with related techniques allowing the solution of a very wide variety of practical non-linear random vibration problems is given, and the principal value of these methods is that they are readily generalized to deal with complex mechanical and structural systems and complex types of excitation such as earthquakes.Abstract:
Interest in the study of random vibration problems using the concepts of stochastic process theory has grown rapidly due to the need to design structures and machinery which can operate reliably when subjected to random loads, for example winds and earthquakes. This is the first comprehensive account of statistical linearization - powerful and versatile methods with related techniques allowing the solution of a very wide variety of practical non-linear random vibration problems. The principal value of these methods is that unlike other analytical methods, they are readily generalized to deal with complex mechanical and structural systems and complex types of excitation such as earthquakes.read more
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Random Vibrations: Assessment of the State of the Art
TL;DR: Random vibration is the phenomenon wherein random excitation applied to a mechanical system induces random response as mentioned in this paper, where random vibration is defined as the phenomenon where random response is defined to be a phenomenon where a random activation applied to the system induces a random response.
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Optimal design of dampers in seismic excited structures by the Expected value of the stochastic Dissipated Power
TL;DR: In this article, a method is presented to obtain the amount and the placement of viscous or visco-elastic damping necessary for having a suitable reduction of the response quantities.
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Analysis of block random rocking on nonlinear flexible foundation
TL;DR: A nonlinear flexible foundation model is considered accounting for the possibility of uplifting in the case of strong excitation, based on an appropriate nonlinear impact force model, which is treated as a bed of continuously distributed springs in parallel with nonlinear dampers.
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Comparative study of various approaches to stochastic elastic wave propagation
TL;DR: In this paper, three approaches to the problem of 1-D wave propagation in media with random elastic and mass properties are studied: (i) method of integral spectral decomposition, (ii) the Fokker-Plank-Kolmogorov equation, and (iii) the Dyson integral equation.