Reduction of stiffness and mass matrices 来自 ui.adsabs.harvard.edu 喜欢 0 阅读量: 1170 作者:GUYAN,R. J.摘要: It is known that a simple Bézout domain is the domain of elementary divisors if and only if it is 2-simple. The block-diagonal reduction of matrices over an n -simple ...
Order reduction stiffness and mass matrices Part 2 - Lanczos methodT. Mazuch
Guyan, “Reduction of stiffness and mass matrices,” AIAA Journal, vol. 3, no. 2, p. 380, 1965. [16] W. M. Zhai, Vehicle-Track Coupling Dynamics, 2007. [17] W.-M. Zhai, “Two simple fast integration methods for large-scale dynamic problems in engineering,” International Journal ...
A reduction of truss topology design problem formulated by semidefinite optimization (SDO) is considered. The finite groups and their representations are introduced to reduce the stiffness and mass matrices of truss in size. Numerical results are given for both the original problem and the reduced pr...
In both examples the stiffness and mass matrix of the FE model were computed by MSC.NASTRAN [40]. The matrices were imported into Scilab [41] and all subsequent Shock and Vibration 7 Input: FE-Model, M, K Output: Φ = [Φ𝑆 Φ𝑉 Φ̃𝑇] %%Computation of trial vectors for ...
From these mass and stiffness matrices, the eigensolutions of the reduced system can be obtained iteratively. On convergence the reduced system reproduces the eigensolutions of the original structure. A proof of the convergence property is also presented. Applications of the method to a practical ...
In the inertial frame the stiffness, mass and gyroscopic matrices would be independent of time. Still, an attempt is Conclusion In this work it is shown that the proposed reduction technique works well for a rotor supported on non-isotropic (orthotropic) springs. However, the final objective ...
The FE stiffness and mass matrices (\(\varvec{K}_{\varvec{p},\varvec{z}}, \varvec{M}_{\varvec{p},\varvec{z}}, \varvec{K}_{\varvec{g},\varvec{z}}, \varvec{M}_{\varvec{g},\varvec{z}}\)) of the pinion (p) and gear (g) respectively are obtained using ...
For use in the SDT, you are encouraged to find a basis of the vector space that diagonalizes the mass and stiffness matrices (normal mode form which can be easily obtained with fe_norm). Reduction on modeshapes is sometimes called the mode displacement method, while the addition of the ...
The standard methodology couples the stiffness, mass, and damping matrices of the experimental substructure to a finite element model of the remainder of the system through multi-point constraints. This can be somewhat awkward in the finite element code. It is desirable to have an experimental ...