Nonlinear Moment Matching for the Simulation-Free Reduction of Structural Systems
For engineers working on structural system reduction, this provides a simulation-free method, though it is an incremental extension of existing work.
The paper extends moment matching to nonlinear structural systems, proposing a simulation-free reduction scheme for nonlinear second-order models. A numerical example demonstrates the algorithm's efficiency.
This paper transfers the concept of moment matching to nonlinear structural systems and further provides a simulation-free reduction scheme for such nonlinear second-order models. After first presenting the steady-state interpretation of linear moment matching, we then extend this reduction concept to the nonlinear second-order case based on Astolfi [2010]. Then, similar simplifications as in Cruz Varona et al. [2019] are proposed to achieve a simulation-free nonlinear moment matching algorithm. A discussion on the simplifications and their limitations is presented, as well as a numerical example which illustrates the efficiency of the algorithm.