Sentence examples for modal solution using from inspiring English sources
The strategy of the new approach is to compute the modal solution using the Sherman Morrison Woodbury formula for the inverse of equation which is subjected to low rank modifications, instead of factoring the coefficient matrix at each excitation frequency.
In the proposed approach, after applying the Laplace transform and the inverse transform to the equations of motion, the solution obtained for the system with fractional dampers is equivalent to the modal solution used in the case of proportional damping.
An exact linear solution using modal superposition was obtained for comparison of results.
The proposed reorthogonalization method allows for parametric structural modifications and evaluates the solution using a modified complex modal domain only along a selection of a few degrees of freedom that are relevant for the dynamic analysis of the system.
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.
Contact force at the impact point, lateral displacements and velocities of the plate and the impactor and the stress state within the plate have been determined using modal solution technique.
By using the analytical modal solution, the stepped beam model is further extended to investigate its modal parameter changes under piezoelectric actuation.
The method is benchmarked by the modal solution of a monopole in the lined duct, and used to investigate wall interference on the acoustic fields of realistic sources.
The results of modal analyses using numerical solutions are shown to have acceptable accuracy compared with results obtained by in-situ test.
