Open AccessBook
Random vibration and statistical linearization
J.B. Roberts,Pol D. Spanos +1 more
Reads0
Chats0
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
Citations
More filters
Journal ArticleDOI
Optimum design of linear tuned mass dampers for structures with nonlinear behaviour
TL;DR: In this article, a single linear TMD is treated and is assumed to be applied to a single nonlinear degree of freedom system, described by the Bouc-Wen hysteretic model.
Journal ArticleDOI
Stationary and non-stationary probability density function for non-linear oscillators
TL;DR: In this article, a method for the evaluation of the stationary and non-stationary probability density function of non-linear oscillators subjected to random input is presented, which requires the approximation of the probability density functions of the response in terms of C-type Gram-Charlier series expansion.
Journal ArticleDOI
Nonlinear Mapping of Uncertainties in Celestial Mechanics
TL;DR: The proposed method for nonlinear propagation of uncertainty based on differential algebra enables a general approach to nonlinear uncertainty propagation that can provide highly accurate estimate with low computational cost.
Journal ArticleDOI
Response and First-Passage Statistics of Nonlinear Oscillators via a Numerical Path Integral Approach
TL;DR: In this paper, a numerical path integral solution approach is developed for determining the response and first-passage probability density functions (PDFs) of nonlinear oscillators subject to evolutionary broad-band stochastic excitations.
Journal ArticleDOI
Nonlinear damping and quasi-linear modelling.
TL;DR: The power dissipation of the equivalent linear damper, for both sinusoidal and random cases, matches that dissipated by the nonlineardamper, providing both a firm theoretical basis for this modelling approach and clear physical insight.