A nonlinear study of open loop dynamic stability of submersible vehicles in the dive plane
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Authors
Papadimitriou, Harilaos I.
Subjects
Advisors
Papoulias, Folis A.
Date of Issue
1994-03
Date
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
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
Type
Thesis
Description
Series/Report No
Department
Mechanical Engineering
Organization
Identifiers
NPS Report Number
Sponsors
Funder
Format
98 p.;28 cm.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.