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Titlebook: Stochastic Structural Dynamics 1; New Theoretical Deve Y. K. Lin,I. Elishakoff Conference proceedings 1991 Springer-Verlag Berlin, Heidelbe

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A Survey of Quantitative and Qualitative Methods of Sensitivity Analysis for Stochastic Dynamic Sysfirst part of the paper we review the quantitative methods in the time and frequency domain. We quote the definitions of output and moment sensitivity measures and we present applications for linear systems and nonlinear oscillators with stochastic coefficients under Stochastic excitations. The case
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Stochastic Analysis of Nonlinear Vehicle Systems using a Generalized Discrete Harmonic Linearizationear restoring element. In this paper, this technique is generalized to obtain linear representations of both nonlinear restoring and damping elements, based on a principle of energy similarity of dynamic elements. A numerical iterative procedure is presented to computer the local linear coefficient
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Equivalent Nonlinearization of Nonlinear Systems to Random Excitations,bability density function for the response of a nonlinear oscillator to Gaussian white noise excitations. The method is based on the least meansquare criterion and Euler equation. It is shown that this method, which is simpler and more reasonable, generalizes Caughey’s method and gives the same resu
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Stochastic Earthquake Modeling with Discretized Line Source,along a line. The line source is further discretized into point sources at equal intervals, and the times at which seismic signals are emitted from the source points are assumed to be Poisson events. The strengths of individual sources are assumed to be independent and identically distributed random
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Analyzing Nonstationary Random Response to Evolutionary Random Excitation by Complex Modal Method,s is illustrated through some well known examples. Based upon the time-dependent correlation function of the response, a partial spectrum is defined in order to reveal the mean cross power distribution of the response in frequency domain..By comparing the present results with those obtained by the f
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A Stochastic Linearization Technique Based on Minimum Mean Square Deviation of Potential Energies,inal nonlinear system, and that of the equivalent linear one, be minimal. The accuracy of this version of stochastic linearization is checked by comparing the approximations resulting from the use of stochastic linearization method with some exact solutions available in the literature.
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A Stochastic Theory of Cumulative Fatigue Damage,is of Stratonovich — Khasminskii theorem. The analytical solutions for the probability densities of the cumulative fatigue damage and fatigue life and for the reliability function are given for steel and reinforced concrete components with constant fatigue strength subject to narrow band stationary
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Wide-Band Response of Multiple Subsystems with High Modal Density,e closed-form analytical expressions describing the dynamic effect of the multiple subsystems. These expressions, as well as the analysis approach, are novel and provide new understanding of coupled subsystems.
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On Almost Sure Sample Stability of Nonlinear Ito Differential Equations,to equations. In this paper we shall show that there is a class of homogeneous non-linear oscillators that can be transformed on the unit sphere and the exact stability regions can be determined. Two simple examples will be presented.
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