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The equations of eigenvalue problem are obtained by using a modal expansion method.
The receptance of the ring is derived by utilizing the modal expansion method.
Solutions of the problem are formulated by using the modal expansion method.
First, the existence of the crack-induced NPLs are analytically proved using a modal expansion method.
The frequency response of the tire-wheel unit is obtained by using the modal expansion method.
Modal expansion method is used to predict the whole cylinder vibration of a thin-walled model under these excitations.
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Unlike other methods, such as modal expansion methods, the proposed method is applicable to general uncertainties in the damping and stiffness matrices with the sole restriction that the system remains stable with probability one.
A new method for determining the internal acoustic field, called "Separate Modal Expansions" method, is presented and applied to a cylindrical shell.
Four pole parameters are formulated form the pressure response solutions using the modal series expansion method.
Four pole parameters are formulated form the pressure response solutions using the modal series expansion method and orthogonality property.
In order to achieve high accuracy during analytical correction whilst using modal test data, a model reduction method is preferred over a modal test data expansion method for solving the spatial co-ordinate incompatibility problem between the analytical model and the test data.
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modal test method
modal reduction method
modal expansion technique
modal decomposition method
modal expansion form
modal warping method
modal superposition method
modal analysis method
modal separation method
modal expansion approximation
modal expansion theory
modal curvature method
modal synthesis method
modal summation method
modal truncation method
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