潜艇水下运动稳定性非线性分析研究

摘要

The motion stability theory of a nonlinear system and the principles of continuation based on ho-motopy techniques were applied to stable state response and motion stability analysis of submarines during emergency ascent.The stability analysis results were verified by simulations using direct numerical integrations of the fully nonlinear, coupled six degrees-of-freedom equations of motion for the submarine. It indicates that homotopy and continuation theory techniques could be an effective analysis method for motion stability of submarines under water.%应用非线性系统运动稳定性理论和同伦延拓数值计算方法,分析了潜艇水下运动的稳态响应及运动稳定性,潜艇应急上浮运动稳定性实例分析结果通过其大攻角六自由度运动方程数值积分的动态仿真进行了验证,表明稳定性分析结果是正确的.从而说明了采用同伦延拓法分析潜艇水下运动稳定性是有效的.