Abstract The paper proposes a novel approximate explicit solution for the static response of structural systems discretized by finite elements with parametric stiffness. The solution exploits the following properties: (a) if the system comprises one parameter only, i.e. a single finite element has parametric stiffness, then the exact explicit solution can always be obtained; (b) if all element stiffnesses are considered as parameters and the exact solution is available at a given point of the parameter space (i.e. for a given realization of the parameters), then it is also known along the line passing through that point and the origin of the parameter space. The joint use of the two properties allows an accurate explicit relationship for nodal displacements which is suitable for treating different structural problems such as optimization, reanalysis, inverse analysis and reliability. The latter will be investigated in the numerical applications where Monte Carlo samples are produced by the explicit relationship rather than by the re-analysis of the structural problem with an evident reduction of computational burden.
|Titolo:||Explicit solution for linear systems with parametric stiffness and application to uncertain structures|
|Data di pubblicazione:||2016|
|Appare nelle tipologie:||1.1 Articolo in rivista|