三轴转动惯量的直立振复摆与圆周扭摆协同测量方法

质量特性测量设备在测量导弹弹头水平状态2个转动惯量分量时需要导弹弹头转动90°，为解决这个问题，提出导弹弹头三轴转动惯量的直立振复摆与圆周扭摆协同测量方法，给出该方法的实现结构和计算原理。利用导弹弹头直立姿态时沿y轴、z轴方位的摆动周期建立2个转动惯量分量间的差值关系，该关系相对比例关系更直接便捷，可以直接将这一差值关系等同于相对摆动轴线的转动惯量分量间的差值关系。结果表明：水平姿态下只需测量一个方位的转动惯量分量即能得到另一个转动惯量分量，测量值最大绝对误差0.35 kg·m²，满足定型设备1 kg·m²的精度要求；新方法有效整合了直立振复摆和圆周扭摆法各自在测量转动惯量方面的优势，实现了三轴转动惯量的便捷与高精度测量。

A Collaborative Method for Measuring the Triaxial Moment of Inertia Using the Vertical Vibration Compound Pendulum andCircular Torsion Pendulum

A missile warhead in the horizontal posture is supposed to rotate 90 degrees during a moment of inertia measurement. To simplify the measuring process for mass property parameters, a coordinative triaxial measuring method for moment of inertia is proposed based on the use of both a vertical vibration compound pendulum and a circular torsion pendulum. The structure of the measuring device and the calculation principle are also introduced. The difference relation between the components of the two moments of inertia along the y and z directions of the missile warhead in the vertical posture is obtained by measuring swing periods along the two axes. The method is more convenient than using the proportional relation, and it is equal to the difference relation between the components of the two moments of inertia based on the vertical vibration compound pendulum axis. The results show that the other moment of inertia can only be calculated by measuring a moment of inertia in the horizontal posture, with a maximum measuring error of 0.35 kg·m² which meets the accuracy requirement of 1 kg·m² for the finalized measuring device. The new method combines the advantages of both vibration pendulum and torsion pendulum, and improves the convenience and accuracy for measuring the triaxial moment of inertia.