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Tuples of length 2*NumBasis containing the complex amplitudes of each forward and backward mode.
Tables of length 2*NumG containing the complex amplitudes of each forward and backward mode.
The first backward mode is involved in the instabilities of most practical interest.
For the lean backward mode, we provide a novel tool that shows the dynamic interaction of important players and topics through a Serendipity user interface.
In this work, we propose a dual frequency band annular probe for backward mode volumetric PE/OA imaging.
Moreover, the difference between the forward and backward mode shapes increases with the rotation speed of the shaft.
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By using the complex modal displacement the forward and backward modes are properly identified.
These so-called backward modes are not new in themselves, having been routinely measured in other media like plasmas, or ionized gases.
The mode shapes associated with forward and backward modes are discussed as the degree of asymmetry in the rotor varies.
The energy distribution ratio between the forward and backward modes is inversely proportional to their frequency ratio.
The natural frequencies of the forward and backward modes have been compared with the results using the finite element method.
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