| Summary: | A mixed mode function-boundary element method was developed by the authors to analyze the dynamic behaviour of an integrated aircraft – VLFS – water interaction system exited by aircraft landing impacts. In the mathematical model, the aircraft and VLFS are considered as two elastic structures. The landing gears of the aircraft are modeled by four support units, each of which consists of a linear spring and damper. The water is assumed to be incompressible, inviscid and satisfying a linear free surface wave condition and an undisturbed condition at infinity. The motions of the aircraft and VLFS are described by their respective natural modes. The fluid domain is modelled using a boundary element approach. The coupled fluid – structure equation is solved in the time domain with Newmark approximations. In this paper, the numerical stability of the developed method is investigated. To realize this aim, convergence study is performed in determining the size of retained fluid surface, the number of retained modes of VLFS and the time step used in the time integration scheme.
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