stochastic equivalent linearization method
Equivalent Linearization Analysis Method for Base-isolated Buildings
... Bedrinana (Bedrinana, 2011) evaluated the cost-effectiveness as well as the seis- mic safety of a base-isolated building located in Peru. A methodology to evaluate quantitatively the seismic risk and the ...
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Adaptability and Comparison of the Wavelet-based with Traditional Equivalent Linearization Method and Potential Application for Damage Detection
... the method, (now variously known as ‘statistical linearization’ or ‘equivalent linearization’) was proposed by Caughey [1963] as a means of solving nonlinear stochastic problems in ...
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A novel stochastic linearization framework for seismic demand estimation of hysteretic MDOF systems subject to linear response spectra
... through linearization using the same power spectrum derived based on the ELP damping in k-1 ...statistical linearization to hysteretic structures of the softening kind yields equivalent linear ...
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Analytical Approximate Solutions For Oscillators With Fractional Order Restoring Force And Relativistic Oscillators
... original linearization for deterministic systems was proposed by Krylov and Bugoliubov ...the method for stochastic ...the Equivalent Linearization method [3, ...the ...
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On Multidominance and Linearization
... In short, I contend that Merge produces asymmetrical pairs that encode syntactic dependency. This asymmetry can be mapped straightforwardly onto direct precedence at the PF interface. If this is so, one might wonder why ...
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Analysis and application of the discontinuous Galerkin method to the RLW equation
... of linearization and the backward Euler method, sidetracking the time step restriction well known from the explicit schemes, proposed in ...the method with the aid of standard techniques introduced ...
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Improved I/O Data Based Model Free Adaptive Control Technology in MIMO Discrete Time Systems
... Abstract. As one of I/O data-based model-free adaptive controllers, the conventional MFAC controllers only with zero-order output information of the system are widely used around the world. With the NARX model of the ...
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Evaluation of parameter uncertainties in nonlinear regression using Microsoft Excel Spreadsheet
... bootstrap method randomly takes the residues with replacement and no assumption is made about the underlying ...bootstrap method. Because the linearization method is based on the assumption of ...
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An alternating linearization bundle method for a class of nonconvex nonsmooth optimization problems
... This paper is organized as follows. In Sect. 2, we review some basic definitions and re- sults required for this work. In Sect. 3, we present the alternating linearization bundle method for problem (1). ...
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Velocity tracking of cruise control system by using feedback linearization method
... In cruise control systems, the performance of the controller is important. Hence, in order to have accurate results, the nonlinear behavior of a vehicle model should also be considered. In this article, a vehicle with a ...
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Derivation of equivalent linear properties of Bouc-Wen hysteretic systems for seismic response spectrum analysis via statistical linearization
... Statistical Linearization, Response Spectrum, Stochastic Process, Equivalent ...statistical linearization based formulation is used to derive effective linear properties (ELPs), namely damping ...
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THE LIMITS OF APPLICABILITY OF THE LINEARIZATION METHOD IN CALCULATING SMALL–TIME REACHABLE SETS
... The paper explores the properties of reachable sets of control-affine nonlinear systems with integral constraints over small time intervals. The geometric structure of reachable sets plays an important role in control ...
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A numerical study of fractional order reverse osmosis desalination model using Legendre wavelet approximation
... Sea water desalination has become an inevitable alternative for many countries to overcome the shortage of natural fresh water. Among desalination technology, reverse osmosis is the most used method. This is ...
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Random Response of a Strongly Nonlinear Oscillator with Internal and External Excitations
... A second order oscillator with nonlinear restoring force and nonlinear damping is considered: it is subject to both external and internal (parametric) excitations of Gaussian white noise type. The nonlinearities are ...
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On cross-diffusion effects on flow over a vertical surface using a linearization method
... distributions as well as the skin-friction, heat and mass transfer coefficients have been obtained and discussed for various physical parametric values. The accuracy of the solutions has been tested using a local ...
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A refined method for calculating equivalent effective stratospheric chlorine
... in the stratosphere from tropospheric source gas concentra- tions and FRFs, as shown in comparison to a model calcula- tion with annually repeating dynamics. We have shown that the long-term evolution of ESC (i.e. ...
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A New Method for Finding the Thevenin and Norton Equivalent Circuits
... posed method enables the students and their instructors to calculate the said equivalent circuits at more than one pairs of terminals without having to repeat calculations right from the ...the ...
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A linearization method in oscillation theory of half linear second order differential equations
... The transformation formula (1.3) for linear equation (1.2) is used in many oscillation criteria for this equation, with the following idea. Equation (1.2) is transformed into an “easier” equation (1.5), oscillatory ...
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Stochastic Runge-Kutta method for stochastic delay differential equations
... As mentioned earlier in the previous section, most of the SDDEs do not have analytical solution, and numerical method provides a tool in handling this problem. Baker et al. [10] modified RK of ODE to approximate ...
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The New Approximate Calculation Method for the First Order Reliability
... searching method converge to a certain ...searching method is the searching the point which is most near the failure surface on the approximation failure surface, because the checking point here is not the ...
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