Static Correction Mode

 

A static correction mode is defined as a static deformation due to imposing unit displacement on the nodal coordinate in the boundary set B and zero displacements on the remaining nodal coordinates in the boundary set B.

Let a set W be a complementary set of the set B as

 

where, U is the set of all nodal coordinates in the finite element model.

Static correction modes,  can be obtained as

                           (1)

 

Where,

                (2)

                     (3)

                     (4)

 

where, contains the reaction forces due to the B set constraint. From the first equation in Equation (1), the following equation is derived

 

           (5)

 

The  can be obtained as

 

                       (6)

 

Substitution of Equation. (6) into Equation. (3) gives the static correction mode as

 

                    (7)