系留气球时域响应分析

为研究系留气球稳定性,建立了系留气球的三维非线性动力学模型.缆绳采用有限差分法,球体采用经典的六自由度方程,其中气动力导数以静导数、动导数和附加质量表示.以主节点运动为边界条件,以静态构型为初始条件,建立完整耦合动力学方程.利用直接求解非线性偏微分方程的方法对该系统进行时域响应分析,考察了风速对纵向和横侧向稳定性的影响,并给出相应的响应曲线.直接求解非线性耦合方程的成功,表明该数学模型及其解法是可行的. 

Time-domain response analysis of a tethered aerostat

To stability analysis of the tethered balloon,a three dimensional nonlinear mathematical model of tethered aerostat was assembled.The tether was modeled using finite difference approximation.The balloon was modeled using rigidbody dynamic model including the static derivative,dynamic derivative and added mass.The coupling equation was assembled with the boundary condition of attached node and the initial condition of static.The time-domain response analysis was given by solving the nonlinear partial differential equations directly.The longitudinal and lateral stability was investigated by inputting step wind.The response curves of time domain also were output.The success of solving the nonlinear proved that the mathematical model is feasible.