中文摘要：

研究了含间隙折叠舵面的主共振响应.建立具有沉浮和俯仰间隙的二元舵面振动微分方程,两个运动方向受到同频简谐外激力.采用平均法求解系统的主共振周期解,结合数值法对方程组进行数值求解,研究系统主共振,得到振动幅频响应曲线.分析间隙、外激力、固定预载对于折叠舵面主共振的影响,结果表明：随着间隙增大,主共振响应曲线整体向左移动,非线性特点越来越突出,开始出现振幅跳跃和滞后现象;随着外激力增大,间隙范围内响应所占比例降低,非线性的影响也随之降低,系统振动特点接近线性;随着固定预载增大,共振形态变化较大.

英文摘要：

Primary resonant response of a folding rudder with gaps was investigated. The vibration equations of a folding rudder with gaps both in up-down and pitch directions were established. Harmonic external excitation forces with same frequency were considered in these two directions of motion. The primary resonant periodic solution of the system was analyzed by the average method. Combining with numerical solution, the amplitude-frequency response curves were presented, and the influence of gap, external excitation force, preload on primary resonance of rudder were discussed. Influences of gap, external excitation force and preload on the primary resonance of folding rudder were investigated. The results show that, as the gap increases, the overall main resonance response curve shifts leftwards; non-linear characteristic is more prominent, amplitude jump and hysteresis amplitude appear. With the increase of external excitation force, the proportion of response in the gap range is reducing in line with the nonlinear effects, the vibration characteristic of the system is nearly linear; with increase of fixed preload, the resonance shape changes greatly.