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The flow solutions are described in a weighted summation form of the basis modes.
Under this premise, two modeling frameworks robust to structural parameter variations are developed, while so-called basis modes are employed to approximate arbitrary mode shapes.
POD, due to its ability on extracting the dominant characteristics, is used to illustrate the primary basis modes of design parameter changes, further demonstrating the effects of blade redesign on the performance variations.
In order to improve the description performance, the weights of basis modes are obtained by a nonlinear regression method in the present paper, rather than the widely used linear regression.
The effects of cross-modal coupling between the basis modes have been considered, which is necessary for an accurate determination of the modal radiation efficiency for the reinforced plate.
The specific radiation resistances of the basis modes are first determined as a set of invariants from which the modal radiation efficiency of the reinforced plate can be readily extracted.
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Moreover, two different strategies for the basis mode generation are evaluated.
Both novel ROM approaches combined with the two basis mode construction techniques are demonstrated and assessed regarding their efficiency and accuracy.
If the coaxial waveguide diameter b increases relative to the pipe diameter D, the angular variations of the basis functions/higher modes would be stronger.
In the second part, the authors propose a methodology to enforce that condition in order to perform an optimal reconstruction of the "closest" physical system starting from a given basis complex modes.
In Mexico, the therapeutic use of human blood is regulated by: (a) the General Health Law (1984) that establishes the basis and modes for the provision of health care and for basic and applied health research.
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