Title :
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
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;
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
DOI :
10.1109/ISDEA.2012.185
