Dynamic simulation of light space structures by finite element modeling and order reduction in state space
Last modified: 2010-04-17
Abstract
The state space formulation of the equations of motion allows to achieve simple dynamic models from complex structures, in order to integrate them to a dynamic simulation program wich will be acting like an efficient platform for high shock load structures design, suitables on space mission development.
In the beginning of a new structural design project will be required to acquire sensitivity and knowleadge on the dynamic problem to study, when no definitive design has been established yet, and the component dynamic properties of the structure are not certainly known either. It’s usual to propose simplified system models for several constructive solutions, while latter project stages involves generally structural changes which compel to re-examine the entire dynamic behaviour; then is desirable in this design stage to have the smallest dynamic model that still provides a precise representation of system dynamics and allows a quick proposal evaluation, with the aim to reduce the solicitations over critical satellital components.
In this paper a certain satellital configuration is proposed for a preliminar dynamic analysis by the finite element method, with the aim of generate a flexible enough model to admit latter adjusts on the basis of behaviour appreciations and test results. Then, a reduction method for high order lineal dynamic systems is applied by means of balanced gramians, with the intention to obtain a state space reduced order model.