Sentence examples for matrix and equivalent from inspiring English sources

Initialize: the projection matrix, sparsifying matrix, and equivalent dictionary, iterative steps.

Tangent flexural rigidity of cross-section is derived and then using the flexibility approach the elasto-plastic tangent stiffness matrix and equivalent nodal loads vector of 3-D beam-column element is developed.

Tangent flexural and axial rigidity of the cross-section are derived and then using the flexibility approach the elasto-plastic tangent stiffness matrix and equivalent nodal loads vector of the beam-column element including the shear deformability of the partially connected composite beam has been developed.

As key elements in the dynamic stiffness method, the first known transformed dynamic stiffness matrix and equivalent nodal loading vector for non-circular curved beams subjected to distributed external loading are established from the analytical solution developed using the famous Frobenius method.

Moreover, sufficient conditions are presented to ensure the H∞ disturbance attenuation level, and the design method of H∞ controller is developed by solving linear matrix inequalities (LMI) optimization problem without any decompositions of system matrices and equivalent transformation.

Based on the result, the controller existence condition and robust H∞ state feedback controller design method are proposed by linear matrix inequality (LMI) approach without any decompositions of system matrices and equivalent transformation.

The element stiffness matrix and work equivalent load are obtained by using GLL quadrature.

Yet the composite is treated as a two distinct phase material, namely the matrix and the equivalent particle-interface assembly.

Gauss Lobatto Legendre (GLL) points are utilized as element nodes and GLL quadrature is used to obtain the element stiffness matrix and work equivalent load.

The core-shell particles resulted in an increase in charpy impact strength of greater than an order of magnitude, compared to the PP matrix, and almost equivalent tensile properties.

The procedure involves the use of the dynamic stiffness matrix method and equivalent-linear approach, and is built in the modern MATLAB environment to take full advantages of the matrix operations in MATLAB.