Application of OMEGA Algorithm in Missile Vibration Engineering

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 pattern. Conclusion This method can be applied to the missile vibration engineering design.