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The beam is analyzed by using modal expansion theorem.
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A modal expansion theory based on Green׳s theorem is implemented to model the energy transmission through an acoustically coupled double-wall curved panel.
The modal expansion theory is used to obtain the response of the beam due to moving load.
The modal co-ordinates are extracted from the system output by interpolation of the sensors measurements and use of the expansion theorem, a process known as modal filtering.
Taylor's expansion theorem is then employed to obtain the solution to the modal state equation, ultimately leading to calculation of a transfer matrix.
(Expansion theorem).
In succeeding chapters he gave the Expansion Theorem, the new full-strength Elimination Theorem, a Reduction Theorem, and the use of division to solve an equation.
The next theorem is a vector-valued eigenfunction expansion theorem.
The next theorem is an eigenfunction expansion theorem.
Computational structural dynamics (CSD) uses modal expansion by ANSYS finite elements.
The equations of eigenvalue problem are obtained by using a modal expansion method.
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