Citation:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Volume 466, Number 2116, 8 April 2010,Pages 1055-1075
Abstract:
An assessment of the relative speeds and payload capacities of airborne and
waterborne vehicles highlights a gap that can be usefully filled by a new
vehicle concept, utilizing both hydrodynamic and aerodynamic forces. A high-
speed marine vehicle equipped with aerodynamic surfaces is one such concept. In
1904, Bryan & Williams (Bryan & Williams 1904 Proc. R. Soc. Lond. 73, 100-116
(doi: 10.1098/rspl.1904.0017)) published an article on the longitudinal dynamics
of aerial gliders, and this approach remains the foundation of all the
mathematical models studying the dynamics of airborne vehicles. In 1932, Perring
& Glauert (Perring & Glauert 1932 Reports and Memoranda no. 1493) presented a
mathematical approach to study the dynamics of seaplanes experiencing the
planing effect. From this work, planing theory has developed. The authors
propose a unified mathematical model to study the longitudinal stability of a
high-speed planing marine vehicle with aerodynamic surfaces. A kinematics
framework is developed. Then, taking into account the aerodynamic, hydrostatic
and hydrodynamic forces, the full equations of motion, using a small
perturbation assumption, are derived and solved specifically for this concept.
This technique reveals a new static stability criterion that can be used to
characterize the longitudinal stability of high-speed planing vehicles with
aerodynamic surfaces.
