A nonlinear study of open loop dynamic stability of submersible vehicles in the dive plane
Papadimitriou, Harilaos I.
Papoulias, Folis A.
MetadataShow full item record
This thesis presents a comprehensive nonlinear study of straight line stability of motion of submersibles in the dive plane under open loop conditions. A systematic perturbation analysis demonstrates that the effects of surge on heave/pitch are small and can be neglected. Primary loss of stability is shown to occur in the form of Hopf bifurcations to periodic solutions. Analysis of the periodic solutions that result from these Hopf bifurcations was accomplished through Taylor expansions, up to third order, of the equations of motion. A consistent approximation, utilizing the generalized gradient, is used to study the non-analytic quadratic cross flow integral drag terms. The results indicate that loss of stability occurs always in the form of supercritical Hopf bifurcations with stable limit cycles. It is shown that this is mainly due to the stabilizing effect of the drag forces at high angles of attack
Showing items related by title, author, creator and subject.
Yale, G.; Agrawal, B.N. (1994);This paper concerns the cooperative control of multiple manipulators attached to the same base as they reposition a common payload. The theory is easily applied to inertially based problems as well as space based free-floating ...
Yale, G. E.; Agrawal, B.N. (1998);The cooperative control of multiplemanipulatorsattached to the samebase asthey reposition a common payload is discussed. The theory is easily appliedto inertially based problems, as well asspace-based free- oating ...
Full nonlinear simulation of helicopter coupled rotor-fuselage motion using MATLAB Symbolic processor and dynamic simulation Weissenfels, Robert D. (Monterey, California. Naval Postgraduate School, 2000);This thesis formulates the full nonlinear equations of motion for determining the stability of helicopter coupled rotor-fuselage motion utilizing MATLAB(registered)'s Symbolic Math Toolbox. Using the extended symbolic ...