Sentence examples for modal expansion methods from inspiring English sources

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.

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.

The classical modal expansion method is applied to ascertain dynamic responses of beams due to arbitrarily distributed continuous loads.

It is observed that the energy flow predicted by the modal expansion method oscillates about the exact energy flow obtained by the travelling wave method.

The modal expansion method is used since it is more efficient than the direct integration method when the axisymmetric shell structures are subjected to certain specific loadings.

Several approximate methods, including the modal expansion method, are also proposed to calculate the forced harmonic response, and their solution errors are assessed.