中文摘要：

关键器件在受外部冲击或自身调整过程中所受的力矢量关系到控制精度及系统结构设计。力矢量的测量是对力大小、方向和作用点的确定，可根据力的等效原则转化为对所受3个力和3个力矩的测量。根据压电式力传感器的特点，基于静力平衡方程，推导出了3个分力和作用点坐标的求解表达式，确定了合理的传感器数目，建立矢量力求解的数学模型。实验表明，根据该模型研制的压电式力矢量测试系统能实现发动机力矢量测量要求。

英文摘要：

The force vector of the key equipment for many important applications during impacting and adjusting is necessary to be considered, which may affect the control precision and the system structure design. The force vec- tor measurement is the confirming of the magnitude, direction and the action point, which could be transformed the measurements of the three forces and torques according to the force equivalent principle. According to the character- istics of the piezoelectric force sensor, the expression of solving the three component forces and the coordinates of action point are deduced based on the equation of static equilibrium. The reasonable number of the sensors is con- firmed and the mathematical model of solving the force vector is built. Experiments show that the measurement sys- tem satisfies the requirements of the motor force vector test according to the model.