ECCOMAS 2024

Approximate calculation of changes in local and global quantities due to design modifications

  • Materna, Daniel (OWL University of Applied Sciences and Arts)

Please login to view abstract download link

In this contribution, a method for global and goal-oriented reanalysis is presented. The process allows predicting the changes in the primal and dual solutions and chosen quantities of interest due to structural modifications (design changes), e.g., the shape, the topology, material properties, etc. The approach is based on a method using primal and dual problems. Furthermore, the method is easy to implement in existing finite element programs because no derivatives concerning the design variables are necessary. The proposed method can be used in classical applications with successive design steps, such as structural optimization, reliability, or structural damage analysis. Hundreds or even thousands of different design configurations are investigated in many cases, and the state equation must be solved for each design step. The repeated structural analysis and calculating quantities of interest involve significant computational effort. Global and goal-oriented reanalysis methods can reduce the overall computational cost in the numerical simulation and optimization procedures.