Sentence examples for modal superposition using from inspiring English sources

Time history analysis are carried out with spectrum compatible time histories for shear type buildings modelled as multi-degree of freedom system (MDOF) with a computer program developed in MATLAB by modal superposition using Newmark-beta method.

The modal superposition method is used for determining the transient response, and the natural frequencies and mode shapes of the plates used are obtained by Gorman's superposition method.

In original paper, modal superposition method was used as defined.

One-dimensional differential quadrature technique, Galerkin approach, and the modal superposition method are used to determine the transient response of the plate subjected to lateral dynamic loads.

In order to overcome the huge computation cost and the low efficiency of the traditional finite element model, modal superposition method is used to establish the equation of motion for catenary.

Then on this basis, the modal superposition approach is used in conjunction with Mindlin Goodman procedure to determine the dynamic response of free edge Reissner Mindlin plates exposed to thermomechanical loading.

Then, in terms of the complex modes of vibration and their orthogonality properties achieved by a hybrid method, the generalized modal superposition method is used to reduce the first order non-linear partial differential equations to first order non-linear ordinary differential equations with respect to time functions only.

An exact linear solution using modal superposition was obtained for comparison of results.

The linear response characteristics of fluid-conveying FGM cylindrical shells are obtained by using modal superposition and Newmark's direct time integration method.

After the ground-borne response spectra that corresponds with the incident wave field is estimated, structural vibration levels are computed using modal superposition, thus avoiding intensive soil-structure interaction computations.

The nonlinear dynamic response of the synthesized structures is then developed using modal superposition, and forced response to base excitations is analyzed to study the effects of material and geometric nonlinearities on nonlinear plate vibrations.