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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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Book ChapterDOI
On a Class of Partial Differential Equations with Nonlocal Dirichlet Boundary Conditions
Alain Bensoussan,Janos Turi +1 more
TL;DR: In this paper, the authors established existence and uniqueness of solutions of a class of partial differential equations with nonlocal Dirchlet conditions in weighted function spaces, motivated by the study of the probability distribution of the response of an elastoplastic oscillator when subjected to white noise excitation.
Journal ArticleDOI
Adaptive Parametric Identification Scheme for a Class of Nondeteriorating and Deteriorating Nonlinear Hysteretic Behavior
TL;DR: In this paper, the adaptive identification of deteriorating and nondeteriorating nonlinear hysteretic phenomena is considered using a generalization of Masing model based on the observed memory behavior of distributed element models.
Shape Memory Alloy Applications on Control of Thermal Buckling, Panel Flutter and Random Vibration of Composite Panels
TL;DR: Xinyun Guo et al. as mentioned in this paper investigated the static thermal and aerothermal deflections, dynamic panel flutter and random response for traditional composite plates and SMAHC plates under combined aerodynamic, random and thermal loads by employing nonlinear finite element method.
Journal ArticleDOI
Response Power Spectrum of Multi-Degree-of-Freedom Nonlinear Systems by a Galerkin Technique
TL;DR: In this paper, the spectral properties of randomly excited multi-degree-of-freedom (MDOF) nonlinear vibrating systems are estimated using a trigonometric Fourier series over an adequately long interval.
Journal ArticleDOI
Non-Gaussian solution for random rocking of slender rigid block
Renato Giannini,Renato Masiani +1 more
TL;DR: In this article, a random vibration approach is adopted to study the response of the slender rigid block to seismic action, and the solution of the associated Fokker-Planck equation in terms of moments of the response is obtained by means of a non-Gaussian closure technique, that enables the complete statistical definition of the approximated transient response process to be achieved.