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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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Journal ArticleDOI
Random vibration of linear and nonlinear structural systems with singular matrices: A frequency domain approach
Ioannis A. Kougioumtzoglou,V. C. Fragkoulis,Athanasios A. Pantelous,Antonina Pirrotta,Antonina Pirrotta +4 more
TL;DR: In this article, a frequency domain methodology is developed for stochastic response determination of multi-degree-of-freedom (MDOF) linear and nonlinear structural systems with singular matrices.
Journal ArticleDOI
Probabilistic response of linear structures equipped with nonlinear damper devices (PIS method)
TL;DR: In this paper, the effect of non-Gaussianity of the response due to the inherent nonlinearity of a damper device was studied in detail via the Path Integral Solution (PIS) method.
Journal ArticleDOI
Base-isolated structure equipped with tuned liquid column damper: An experimental study
TL;DR: In this article, a novel passive vibration control strategy is investigated experimentally, where a Tuned Liquid Column Damper is attached to the base, in contrast to typical attachment points of passive energy dissipation devices in high-rise buildings at elevated levels.
Journal ArticleDOI
A response surface method for stochastic dynamic analysis
TL;DR: The application to SDOF and MDOF hysteretic systems shows the effectiveness of the presented method, which adopts a strategy based on the High Dimensional Model Representation, which gives a Gaussian Model of the response.
Journal ArticleDOI
Non-stationary response statistics of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitation
V. C. Fragkoulis,Ioannis A. Kougioumtzoglou,Athanasios A. Pantelous,Michael Beer,Michael Beer,Michael Beer +5 more
TL;DR: In this article, an approximate analytical technique is developed for determining the non-stationary response amplitude probability density function (PDF) of nonlinear/hysteretic oscillators endowed with fractional derivative elements and subjected to evolutionary stochastic excitation.