This paper demonstrates the application of a numerical continuation method to dynamic piecewise aeroelastic systems. The aeroelastic system is initially converted into a state space form and then into a set of equations which solve the system as the motion moves between different linear zones in a free-play motion. Once an initial condition is found that satisÂ®es these sets of equations, a continuation method is used to Â®nd all other possible solutions of the same period for a variation in any parameter. This process can then be repeated for different order systems, allowing the limit cycle behaviour of the whole system to be built up. The solutions found using this method have been shown to be the same as those found using a more traditional RungeÂ±Kutta type of approach with a considerable time saving and added Â¯exibility through multiple parameter variation.
|Translated title of the contribution||Analysis of piecewise linear aeroelastic systems using numerical continuation|
|Pages (from-to)||1 - 11|
|Number of pages||11|
|Journal||Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering|
|Publication status||Published - Jan 2002|