Novel Design Method of COG Measurement System Via Supporting Reaction Method

Center of gravity (COG) is an important parameter of projectiles and rockets, for which supporting reaction method(or support reaction method) is an important COG measurement method. Based on this supporting reaction method a novel design method is proposed to determine the key design parameters of the COG measurement system. The method can quantitatively analyze the influence of the design parameters on the COG accuracy, in the measurement system designed with supporting reaction method. Using the principle of static balance, the error propagation theory, and the system accuracy analysis method, the equal-range required sensor precision (RSP) surface and non-equal-range required sensor pair precision (RSPP) adapted surface are adopted. The influence of random errors(like sensor accuracy and distance calibration accuracy) is analyzed. The selection strategy of equal-range and non-equal-range sensors is chosen, and then the recommended calibration accuracy values are obtained. For the quality detection accuracy of ±0.6 kg and the axial COG detection accuracy of ±1.5 mm, the RSP surface is drawn by the proposed method, and the force sensor with ±0.23 kg detection accuracy is selected. The experimental verification meets the accuracy requirements and verifies the effectiveness of the proposed design method for the system parameters of the COG measurement equipment.