Open AccessBook
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
Citations
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Aero-elastic simulation of offshore wind turbines in the frequency domain
J.M. Peeringa,F.J. Savenije +1 more
TL;DR: In this paper, the use of the linearized frequency domain tool ECN TURBU, which is very fast compared to the commonly used non-linear time domain tools, is investigated.
Reliability Assessment of Hull Forms Susceptible to Parametric Roll in Irregular Seas
TL;DR: In this paper, the authors developed design criteria based on analytical techniques which can help a designer quickly quantify the stability of a vessel to parametric excitation, which is particularly an issue for modern high-speed fine-form container ships and has gained attention relatively recently.
Dissertation
Nonlinear Response and Stability Analysis of Vessel Rolling Motion in Random Waves Using Stochastic Dynamical Systems
TL;DR: Su et al. as discussed by the authors studied the stability of vessel rolling motion with strongly nonlinear softening stiffness using the methods of stochastic dynamical systems and developed an automatic cumulant neglect tool to predict the response of the high dimensional dynamical system with higher order neglect.
Journal ArticleDOI
Optimal design of nonlinear energy sinks for mitigation of seismic response on structural systems
TL;DR: An optimization formulation to design systems equipped with NES devices is proposed, in which the performance function is defined in terms of the maximum variance over the time-history, and the influence of the Gaussian assumption of the equivalent system response is studied.
Journal ArticleDOI
Explicit solutions for the response probability density function of nonlinear transformations of static random inputs
Giovanni Falsone,D. Settineri +1 more
TL;DR: In this paper, a new version of the Probabilistic Transformation Method (PTM) is used for finding the probability density function (pdf) of a limited number of response quantities in the transformations of static random inputs.