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Random vibration and statistical linearization

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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.

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Citations
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Journal ArticleDOI

The peak response distributions of structure–DVA systems with nonlinear damping

TL;DR: In this paper, the amplitude-dependent viscous damping is used to predict the peak response of a nonlinear DVA with nonlinear damping, and a probability density function is developed to describe the amplitude density function of the DVA response amplitude.
Proceedings ArticleDOI

Equivalent linearization Kalman filter with application to cubic sensor problems

TL;DR: By deriving the equivalent gain for a static nonlinearity, it is shown that the equivalent linearization for the EqKF is a global method, though the first-order linearization of the EKf is a local one.

Fatigue life prognosis for structural elements under stochastic wind loading based on Spectral Methods, Part II: Nonlinear Structures

TL;DR: In this paper, a fatigue life prognosis based on actual stress-range spectra and appropriate cumulative damage calculation methods is presented, which can be used for a directed fatigue design, for structures whose load bearing behaviour is string-like.
Journal ArticleDOI

Optimal design for a novel inerter-based clutching tuned mass damper system:

TL;DR: A clutching inerter damper is introduced into the conventional tuned mass damper to replace the typical damping element and the optimum inertance is related to the structural damping ratio and the tuned mass ratio.
Journal ArticleDOI

Reliability analysis of randomly excited FE modelled structures with interval mass and stiffness via sensitivity analysis

TL;DR: The main advantage of this approach is the capability of providing appropriate combinations of the endpoints of the uncertain parameters which yield accurate estimates of the bounds of the interval reliability function for the extreme value stress process as long as monotonic problems are dealt with.