系统参数对超空泡航行体非线性动力学特性的影响

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (24) : 156-164.

论文

吕一品，熊天红，易文俊，管军

作者信息 +

Influences of system parameters on nonlinear dynamic characteristics of supercavitating vehicles

LV Yipin, XIONG Tianhong, YI Wenjun, GUAN Jun

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文章历史 +

摘要

为保证水下超空泡航行体稳定地高速运动，在经典控制律的基础上，提出了一种新的控制律，并将之应用到超空泡航行体动力学模型中，通过动力学地图呈现了航行体尾翼偏转角、空化器直径随空化数变化的动力学行为，运用分岔图进一步探讨了超空泡系统的动力学特性，并采用数值仿真、相轨图和Lyapunov指数谱等非线性分析工具分析了航行体在不同参数下的运动状态。研究结果表明：随着尾翼偏转角、空化器直径和空化数的变化，超空泡系统的运动状态会在稳定航行、周期振荡和混沌振荡之间切换。当航行体参数不变，初始的深度、垂直速度、俯仰角和俯仰角加速度不同时，系统能体现瞬态周期、瞬态混沌和运动状态转移等非线性运动特性。研究结果将对超空泡航行体稳定控制具有指导意义。

Abstract

To ensure steady and high speed motion of underwater supercavitating vehicles, a new control law was proposed on the basis of a traditional control law. It was applied in a four-dimensional dynamic model of supercavitating vehicles. The dynamic map was used to reveal the vehicle model’s dynamic behavior, such as, its tail wing deflection angle and cavitator diameter changes with cavitation number. The bifurcation diagram was used to further explore dynamic characteristics of the supercavitating vehicle model. The nonlinear analysis tools, such as, numerical simulation, phase trajectory diagram and Lyapunov exponent spectrum were used to analyze the motion states of the vehicle model with different parameters. The study results showed that with variation of tail wing deflection angle, diameter of cavitator and cavitation number, motion states of the supercavitating system switch among stable navigation, periodic oscillation and chaotic oscillation; when the system parameters are constant while its initial depth, vertical velocity, pitch angle and pitch angular acceleration are different, the system can have nonlinear dynamic characteristics including transient period, transient chaos and motion state transitions and so on; the results have a guiding significance for stability control of supercavitating vehicles.

导出引用

吕一品，熊天红，易文俊，管军. 系统参数对超空泡航行体非线性动力学特性的影响[J]. 振动与冲击, 2017, 36(24): 156-164

LV Yipin, XIONG Tianhong, YI Wenjun, GUAN Jun. Influences of system parameters on nonlinear dynamic characteristics of supercavitating vehicles[J]. Journal of Vibration and Shock, 2017, 36(24): 156-164

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