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The proposed BEM formulation is computationally efficient due to less number of system equations to solve.
The polynomial chaos expansion method is used to model the uncertainties, which transforms the stochastic system equations to a set of deterministic equations.
The modal expansion method and a matrix transformation technique are used to solve the system equations to obtain the natural frequencies and modes of system.
The main contribution here is the inclusion of the controller circuit model in the closed loop system equations to obtain correct stability estimates for all modes.
The main objective is to show how to employ the bounded-error state estimation technique and some transformations of the system equations to form a new bounded-error unknown input observer.
31 We used standard microeconomic demand system equations to estimate how changes in the price of palm oil affect consumption of palm oil, substitution of palm oil with other oils, and households' real expenditures on oil.
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The equation-of-motion for the bladed-rotor system is then developed, by modifying the conventional general rotor system equation to adopt the blade-group dynamics without loss of generality.
Solving the linear system, Equations 32 to 33 yield the following: c 0 = 6, c 1 = − 18, c 2 = 18, c 1 = − 6. Open image in new window.
In this paper, a substructure-coupling concept is used to get system equations in order to extend its use to large modal changes.
It is convenient to convert the discrete time system of equations to a continuous time system, which is solved using MATLAB software (MathWorks™).
A key step in the unification is an extension of the notion of differential index of exactly determined systems of equations to overdetermined systems of equations.
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