A method for system identification of a structure supported by nonlinear springs using evolutionary computing

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Karabeliov, Krassimire^1 ; Baeßler, Matthias^1 ; Cuéllar, Pablo^1 ; Rücker, Werner^1

BAM, Federal Institute for Materials Research and Testing, Unter den Eichen 87, 12205 Berlin, Germany^1

关键词: Evolutionary computing;    Mechanical parameters;    Mechanical structures;    Mechanical systems;    Multimodal problems;    Non-linear springs;    Numerical solvers;    Prior knowledge;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012095/pdf
DOI  :  10.1088/1742-6596/490/1/012095

来源: IOP

【 摘 要 】

A mechanical structure supported by nonlinear springs subjected to an external load is considered. If all mechanical parameters of the system were known, the displacement of the system subjected to this load could be easily calculated. If not all of the parameters are known, but the load and the displacement are measured at one location, an inverse problem exists. In the presented problem the nonlinear springs are unknown and have to be determined. At first glance a problem needs to be solved, which is underdetermined due to the number of unknown variables. However, evolutionary computing can be applied to solve this inverse, nonlinear and multimodal problem. Sometimes a prior knowledge exists on certain system properties, which is difficult to implement into analytical or numerical solver. This knowledge can play a decisive role in identifying the system properties and it can be easily included as boundary condition when applying evolutionary algorithm. This article examines how and under what conditions the spring resistances can be identified. The procedure is exemplified at a mechanical system of a pile foundation.