OMEGA算法在导弹振动工程中的应用

Application of OMEGA Algorithm in Missile Vibration Engineering

目的研究位移、速度和加速度谱之间的转换关系,给出三者功率谱密度之间的转换公式,进而用于导弹运输振动环境的设计。同时,研究加速度信号转换为振动位移的方法,并应用于导弹舱内单机设备安全间隙的设计。方法利用OMEGA算法,首先将加速度传感器测得的加速度时域信号转换成加速度频域信号,随后将加速度谱转换成位移谱,并计算位移谱中每个谱线对应的幅值、相位和圆频率,最后将各位移分量简单叠加得到振动位移的时间历程。结果采用该方法计算了高速公路上导弹的运输振动位移功率谱,并得到垂向、横向和纵向的峰-峰位移分别为3.32,0.46,2.14 mm。同时,计算了飞行环境下导弹舱内单机设备的振动位移,与所测得位移在幅值上相当,时域曲线形态一致。结论该方法能够很好地应用于导弹振动工程设计。

Objective To study the conversion relationship between displacement, velocity and acceleration spectrum, and give the conversion formulas between them, then use the method to design the transportation vibration environment of missile. Meanwhile, to explore the method of conversion of the acceleration signal to the vibration displacement and apply the method to design the safety clearance of machine equipment inside the missile cabin. Methods Based on the OMEGA algorithm, an acceleration signal in time domain was converted to the acceleration signal in frequency domain, then the acceleration spectrum was changed into the displacement spectrum, and the amplitude, phase and frequency were calculated of each displacement spectrum, the time history of vibration displacement was obtained by simple superposition of these displacement components. Results This method was used to calculate the vibration displacement power spectrum of missile during truck transport on the highway, and the vertical, horizontal and vertical peak-peak displacements were obtained as 3.32 mm, 0.46 mm and 2.14 mm. In addition, the flight vibration displacement of the equipment inside the missile cabin was calculated, and it was consistent with the measured displacement in the amplitude and tracing pattem. Conclusion This method can be applied to the missile vibration engineering design.