滑行艇海豚运动稳定性分析的仿真验证

首先引入滑行艇纵摇-垂荡耦合的数学表达方程,再对艇体的回复力系数、附加质量、阻尼系数进行了求解和简化。通过引入Routh-Hurwitz稳定性判据,对纵摇-耦合方程进行转化和推导。通过Matlab GUI界面编程设计,对给定参数的模型进行仿真。得到了航速对滑行艇纵倾角、长宽浸湿比的影响规律;验证了船体重心纵向位置对于海豚运动临界稳定速度的影响规律;得到了稳定性参数和船宽弗劳德数的关系曲线。研究成果对于改善滑行艇海豚运动具有理论指导意义。

Simulation and Verification for Stability Analysis of Porpoising of Planing Vessels

Firstly, heave-pitch mathematical equations are introduced in this paper. After that, restoring coefficients, added mass and damping coefficients of the vessel are calculated and simplified. The heave-pitch coupled equations are transformed and derived by means of Routh-Hurwitz stability criterion. The model, whose parameters are given, is simulated by means of Matlab GUI interface program design. Several laws that how speed influences pitch and lenth-to-beam ratio are obtained. The law that how center of gravity influences the critical speed of porpoising is verified. The curve of stability parameters related to beam Froude number is obtained in this paper. The achievements above have guiding significance for the improvement of porpoising.