Abstract
Based on the theory of rigid body kinematics, a double slapping theoretical model is established for supercavitation projectile. And a parabolic simplification model is used for replacing the supercavitation equation in the part region of the cavity. Meanwhile, a time interval of two slapping impacts formula is derived from the parabolic simplification model. Then, the Logvinovich bubble expansion equation is discretized by using the Compound Simpson Formula and the cavity cross-section area of the projectile tail is solved in the condition that the projectile decelerates movement underwater. And, the cavity radius value of the projectile tail is obtained from Logvinovich bubble expansion equation, and it is substituted into the time interval formula. Compared with the experimental results, it demonstrates the rationality of the parabola simplification model and time interval formula. The projectile slapping impact, which is the main mode of motion in the cavity, is closely related to the stability of the underwater trajectory. This conclusion has a specific significance for studying the instability of the underwater trajectory.
Highlights
Supercavitation projectile technologies have become a topic of interest for some years
Kiceniuk’s work, Richard Rand investigated the in-flight dynamics of a supercavitating body using simplified model. Both of them were concerned about the frequency of the impacts which occur as the projectile tail impacting the cavity walls
(2) Based on the parabola cavity equation, it predicts the order of projectile double slapping impacts motion
Summary
Supercavitation projectile technologies have become a topic of interest for some years. Kiceniuk’s work, Richard Rand investigated the in-flight dynamics of a supercavitating body using simplified model In both of them were concerned about the frequency of the impacts which occur as the projectile tail impacting the cavity walls. The model shows more details about projectile slapping process than Richard Rand’s work They calculated this equation with two projectile models and obtained their velocity versus displacement, tails impacting rotating velocity versus time and so on. Yipin Lv and Tianhong Xiong utilized a simplified 4-dimensional dynamic equation of the supercavitation vehicles that established by Dzielski and Kurdia to analyze the chaos and bifurcations phenomena These results show that the vehicles robustness could be improved through relatively optimization of parameters. It is show similarity with the experimentation that the time interval formula calculating results
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