Structured spatial discretization of dynamical systems

Jokić, Marko and Jokić, Andrej and Dogančić, Bruno (2016) Structured spatial discretization of dynamical systems. = Structured spatial discretization of dynamical systems. In: VII European Congress on Computational Methods in Applied Sciences and Engineering, 05-10.06.2016., Kreta, Grčka.

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This paper deals with spatial discretization of dynamical systems, such that the resulting discretized model is structured as a set of interconnected subsystems. We start by dis- cretizing a dynamical system using an appropriate method (e.q. the finite element method) and discuss a general framework for partitioning a single discretized system into two interconnected systems. As it turns out, partitioning the discretized system into a set of interconnected systems appears to be a straightforward extension of the proposed procedure — we simply recursively apply the procedure. When doing so, we derive a general condition for preserving the inter- connection structure, i.e. a necessary condition on the discretized system matrices such that the interconnection graph between the resulting subsystems matches the interconnection graph between the respective physical subdomains of the original system. This framework allows us to address a local discretization error (i.e. an error in a subsystem) influence on the overall sys-tem response. Furthermore, by considering a series of successively finer discretizations of an individual subsystem, we are able to construct a series of successively finer discretized system models with respective uncertainties.

Item Type: Conference or Workshop Item (Lecture)
Keywords (Croatian): spatial discretization, structured dynamical system, uncertainty modeling
Subjects: TECHNICAL SCIENCE > Mechanical Engineering
Divisions: 200 Department of Engineering Mechanics > 230 Chair of Mechanical Systems Dynamics
900 Department of Robotics and Production System Automation > 910 Chair of Engineering Automation
Indexed in Web of Science: No
Indexed in Current Contents: No
Date Deposited: 22 Dec 2016 13:11
Last Modified: 20 Sep 2018 07:43

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