

Matrix components depend on stresses in a section point at each time step. Components depend on the coordinates of the considered rod section point.

The matrix describes the coupling between section kinematic parameters and deformation rates. The specified articles present that, when calculating the statically indeterminate systems, the generalized flexibility method consists of the following steps:-determination of stiffness matrix or rod element admittance matrix by means of the generalized Mohr formula -creation of equilibrium equations or strains compatibility equations in the form of displacement method -determination of rod section tangent stiffness matrix for elestoplastic deformation =dF, where ψ-column matrix of kinematic parameters (angular rates and sections curvatures) σ-column matrix of stresses in a section point L-matrix depending on section point coordinates, and coupling between stresses and elementary internal forces in the cross-sections. This matrix was obtained as an integral characteristic of intensely deformed state of all points of rod cross-section.

To implement the proposed generalization, the generalized Morh formula and the tangent stiffness matrix were developed by Meleshko V. Replacement of finite elements with sections where there are tangent stiffness.
