Sentence examples for modal truncation method from inspiring English sources
The effectsystemystequationsters on the boundarees of thenunstable regions are studied numerically.
Based on the modal truncation method of eigenderivatives and some approximate process, a set of formulations for sensitivity numbers of mean square random dynamic responses is derived.
The modal truncation augmentation method (MTAM) is also presented to handle the modal truncation problem by making the equilibrium equations into a subspace equation spanned in terms of the columns of a projection basis given in the GMAM.
The modal truncation augmentation method combined with a proposed staggered integration scheme is verified through simulation results as an efficient tool for analyzing a flexible dual-rotor gas turbine engine dynamics with the localized nonlinearities of the bearing and damper, with the thermal growths and with a flexible casing model.
This paper proposes a modal truncation approximation in substructuring method, in which only the lowest eigensolutions of the substructures need to be calculated.
It is shown that the proposed methods can receive good results and reduce the modal truncation error significantly over the conventional method.
The modal truncation errors of the modal acceleration method for frequency responses and the double-modal acceleration method for the sensitivities are also given to show the convergence of the proposed methods.
It is shown that the proposed method can reduce the modal truncation error significantly.
By considering the first-order terms of the Neumann expansion, a generalized mode acceleration method (GMAM) is presented to handle the modal truncation problem.
They are efficient but not robust, because these methods involve a reconstructor based on a modal truncation.
In contrast to the modal decomposition method (MDM), the present method is formulated in the symplectic duality system and does not need modal truncation, and hence the computations are of high precision and efficiency.
