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The lumping formula used gives the lumped system explicitly with the values of the parameters of the lumped system.
Then, a two-phase flash calculation is performed on the lumped system.
The actuator failure, modeling error, and aerodynamic parameters perturbation are viewed as the lumped system uncertainty.
Due the distributed nature of pure time delay, this phenomena cannot be directly simulated by a finite dimension lumped system.
Afterward, a number of delumping parameters calculated from lumped system flash calculation are assigned to the components in a specific pseudo-component.
Additionally, to enhance accuracy, the symmetric rotating shaft is modeled by the Timoshenko beam and considered using a continuous-system concept rather than the conventional "lumped system" concept.
The observer theory initiated by Luenberger is formally employed to obtain the kinetic equations and discuss the properties of the approximately lumped system.
Unsteady state of an open system starts at an initial condition and tends with time towards a steady state when the system is stable (a point for lumped system and profile for distributed systems).
It is then sufficient to calculate the fugacity coefficients from the delumping coefficients calculated from lumped system in a two-phase flash calculation multiplied by PR input parameters for the detailed mixture components.
To analyze the experimental results and gain physical insights into the hydraulic bushing system, lumped system models of bushings with different design features are developed, and analytical expressions of transmitted force and internal pressure responses are derived by using the convolution method.
For a lumped system model described by, the relative sensitivity is defined as: (8) where x is the state vector and p is the parameter vector.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com