kokonaisvasteeseen

Kokonaisvasteeseen is the illative form of the Finnish noun kokonaisvaste. In engineering terminology, kokonaisvaste refers to the global or overall stiffness of a structure, i.e., the aggregated stiffness that governs how the structure deforms under loads. In finite element analysis, the global stiffness is represented by the stiffness matrix K, which relates nodal displacements u to applied forces f through the equation f = Ku. The global stiffness is formed by assembling the individual element stiffness matrices according to the structure’s connectivity, and it is typically symmetric and positive definite for linear elastic problems.

In Finnish technical texts, kokonaisvasteeseen may be used when describing actions or considerations directed toward the global stiffness, for example when discussing how a load influences the global stiffness or how a structure’s response is analyzed with respect to its overall rigidity. The concept emphasizes the overall, integrated behavior of the structure rather than the behavior of individual elements. Distinctions are often made between the global stiffness (kokonaisvaste) and local element stiffness, supporting both system-level analysis and the study of local effects.

Limitations of the concept arise from the assumptions underlying linear elasticity and small deformations. For nonlinear or large-strain problems, the standard formulation of the global stiffness matrix may need modification or alternative methods. Related terms include kokonaisvaste (global stiffness), element stiffness matrices, the finite element method, displacement u, and forces f. See also structural analysis and dynamic analysis contexts where stiffness properties influence system response.