The equations of motion of a rigid vehicle are derived in terms of body axes whose origin does not coincide with the centre of mass of the vehicle. The application of the results to the linear analysis of the motion of ships and aircraft is explained. An example is given of the effects of the mass centre being off-set from the origin in calculating oscillatory coefficients from test results obtained with a planar motion mechanism.
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References
1.
AbkowitzM. A.‘Lectures on ship hydrodynamics—steering and manoeuvrability’, report hy-5, 1964 (hydro-og aerodynamisk laboratorium, lyngby, copenhagen).
2.
GertlerM.‘The DTMB planar motion mechanism system’, Symp. Towing Tank Facilities, Zagreb, 1959.
3.
GoodmanA.‘Experimental techniques and methods of analysis used in submerged body research’, Third Symp. Naval Hydrodynamics, Scheveningen, 1960.
4.
MandelP.‘Ship manoeuvring and control’, Principles of naval architecture1967, chapter 8 (editor ComstockJ. P.) (Society of Naval Architects and Marine Engineers, New York).
5.
BishopR. E. D.ParkinsonA. G.‘On the planar motion mechanism used in ship model testing’, Phil. Trans. R. Soc. (Series A) (to be published).