The matrices were established for the following calculations.
A new transport equation for residual life time along with methods for these quantities using Markov matrices are established.
Firstly, based on matrix transformation, the state-space model of structural systems with sensor outages and uncertainties appearing in the mass, damping and stiffness matrices is established.
Through this operation, a perfect balance between the stiffness and mass matrices is established and the dispersion error is reduced significantly.
Secondly, the positive and negative grey relevancy matrices are established for taking positive and negative ideal solutions as reference sequences and taking planning programs as compared sequences.
Due to large torsion assumption and flexural torsional coupling, new matrices are established in both the geometric and the initial stress parts of the tangent stiffness matrix.
A general set of boundary conditions at fluid-permeable interfaces between dissimilar fluid-filled porous matrices is established starting from an extended Hamilton Rayleigh principle.
For this purpose, according to the questionnaire, 4 comparison matrices were established for each expert (matrices 1, 2, 3, and 4 for main, intrinsic, geological, and mining characteristics, respectively; totally 60 comparison matrices).
By adopting orthogonal spherical base functions, the discrete model with sparse mass and stiff matrices is established so that it is very efficient for finding the numerical solutions of biharmonic eigenvalue equations on the spherical domain.
In this paper, transformation matrices are established to describe the orientation transformation of the planes and directions in a sample during multi-pass equal channel angular pressing (ECAP) processing.
