Fold Catastrophe Characteristics of Pitch Supercavitating Vehicle at Certain Depth

Author

Zhao Xinhua ; Sun Yao ; Qi Zengkun ; Bai Tao ; Han Yuntao

Author_Institution

Coll. of Autom., Harbin Eng. Univ., Harbin, China

fYear

2013

fDate

16-18 Jan. 2013

Firstpage

779

Lastpage

783

Abstract

A fold catastrophe problem for supercavitating vehicle at certain depth is considered, where the dynamic model of supercavitating vehicle is studied in longitute plane. The dynamic model possesses plentiful nonlinear characteristics caused by the planning force. Least-squares method is exploited to simplify the expression of planning force to analyze the catastrophe characteristics. The splitting lemma is utilized to transform diturbance Hamilton system into nominal Hamilton system of supercavitating vehicle. Then the fold catastrophe model is established. Multi-scale method is exploited to sovle the perturbance equation of pich motion of the vehicle based on bifurcation theory. Bifurcation set is determined and necessary condition of stable is developed.

Keywords

catastrophe theory; computational fluid dynamics; drag reduction; least squares approximations; perturbation theory; underwater vehicles; bifurcation set; bifurcation theory; diturbance Hamilton system; drag reduction; dynamic model; fold catastrophe characteristics; fold catastrophe model; fold catastrophe problem; least-squares method; multiscale method; nominal Hamilton system; nonlinear characteristics; perturbance equation; pich motion; pitch supercavitating vehicle; planning force; underwater vehicle; Bifurcation; Force; Mathematical model; Nonlinear dynamical systems; Planning; Vehicles; Fold Catastrophe; Hamilton system; Multi-scale Method; Supercavitating Vehicle;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent System Design and Engineering Applications (ISDEA), 2013 Third International Conference on

Conference_Location

Hong Kong

Print_ISBN

978-1-4673-4893-5

Type

conf

DOI

10.1109/ISDEA.2012.185

Filename

6455826