Jäykkyysyhtälö
Jäykkyysyhtälö, also known as the stiffness matrix equation, is a fundamental concept in structural mechanics and finite element analysis. It represents the relationship between the external forces applied to a structure and the resulting displacements. The equation is typically expressed in matrix form as K * u = f, where K is the stiffness matrix, u is the vector of nodal displacements, and f is the vector of nodal forces.
The stiffness matrix K quantifies the elastic properties of the structure. Each element of the matrix represents
The nodal displacement vector u contains the unknown displacements at each node. These are the primary unknowns
Solving the jäykkyysyhtälö allows engineers to determine the displacements and, consequently, the internal forces and stresses