Classical control of underwater supercavitating vehicles via variable splitting method

Design Methodology of Conical Section Shape for Supercavitating Vehicles considering Auto-Oscillation Characteristics

“…According to the literature [21,37], the kinetic equations based on the assumptions above are presented as follows.…”

“…where r zwA is the amplitude of r zw , and r zwA � ������ r 2 y + r 2 z , describing the deviation between the cavity and the vehicle at the stern plane. Here, r y and r z are the components of the vector from the stern plane center to cavity centerline, as shown in Figure 2, where O b x b y b z b is the body-fixed coordinate system, the expressions of which are given in the Appendix [21,37].…”

“…Solving equation (38) by the trial-and-error method and using equation (28) as the initial value, angular frequency, ω, can be obtained. In addition, L α can be obtained by equation (37). Furthermore, according to equation (11), we obtain…”

“…where L n ′ is the distance from the instantaneous velocity center (where the amplitude is zero) to the mass center, which can be obtained by combining equations (30) and (37).…”

Performance Comparison of Bow and Stern Rudder for High-Speed Supercavitating Vehicles

“…Based on this layout scheme, Li et al study the kinetic characteristics and the motion stability of the directed HSSV by the lake-bed experiment [20]. en, the variable splitting method is presented to regulate the HSSV in the maneuvering condition [21]. Luo et al [22] presented a new layout scheme of HSSVs by moving the rudders to the nose and concluded that the HSSV controlled by the rudder from nose can achieve a smaller turning radius during the maneuvering motion by contrast with the traditional layout scheme.…”