Dynamic Systems

Dynamic Systems

The analysis of dynamic systems is a very important area of scientific computing. In many engineering areas the dynamic properties of a design has to be analysed before the system can be taken into use. Modelling of such systems leads to Differential Equations or Differential Algebraic Equations that must be solved using Numerical Methods . Implementation of simulation and optimization packages is an important activity in the group.

The famous bridge at Tacoma Narrows

A famous example of a design that had unwanted dynamic behaviour is the Tacoma Narrows Bridge that broke down in high winds after oscillating for several hours. This case of disaster has since been analysed in great detail to find the properties of suspension bridges in extreme conditions using numerical simulation.

A new pump design is suggested.

Somebody came forward with a pump design .

As an initial approach a simple model is used to illustrate that principle.. Further a dynamical model for the unknown curve that is to be housing the pump is found in the form of a differential equation. Having the basic layout the next step is to optimize the construction in order to obtain maximum performance. This leads to a parameter estimation problem that is solved using optimization methods in connection with ODE-solvers.

Solution of systems of Ordinary Differential Equations

Over a decade a group of scandinavian scientists have been working on the GODESS project. The illustration shows tha famous statue of NIKE that has been used as trade-mark for the ODE-solver that was the final product of this cooperation. The code is now the basis solver in a commercial package for simulating dynamic systems that are described by Differential Algebraic equations.
    Dynamic analysis of multibody systems.     Optimization and control systems.     Numerical methods for ODE's.
People           

NCA , Niels Christian Albertsen

JBJ , John Bagterp Jørgensen

PGT , Per Grove Thomsen

Software

ESDIRK

: Advanced ODE/DAE solver with sensitivity computations. In Fortran.

ODETT

: An environment for testing ODE-solvers. Based on Matlab.
Current Research Projects and Collaborations