Uncertainty Analysis of the Single-Vector Force Balance Calibration System

N This paper presents an uncertainty analysis of P the Single-Vector Force Balance Calibration System R (SVS). This study is focused on the uncertainty S involved in setting the independent variables during the x,y,z calibration experiment. By knowing the uncertainty in Y the calibration system, the fundamental limits of the calibration accuracy of a particular balance can be Subscripts determined. A brief description of the SVS mechanical a system is provided. A mathematical model is bke developed to describe the mechanical system elements. f A sensitivity analysis of these parameters is carried out FPS through numerical simulations to assess the sensitivity IBS of the total uncertainty to the elemental error sources. ig These sensitivity coefficients provide valuable k information regarding the relative significance of the elemental sources of error. An example calculation of KE the total uncertainty for a specific balance is provided. KES Results from this uncertainty analysis are specific to the LT Single-Vector System, but the approach is broad in mcl nature and therefore applicable to other measurement and calibration systems. inc2 Nomenclature inc3 x,y,z A BCS CG F GCS gx, gy, gz angle in the pitch direction p angle in the roll direction q2x linear distances to center of gravity s position offset sub rotation matrix axial force in the BCS w balance coordinate system yk center of gravity force gravitational coordinate system projection of the gravity vector onto the * Research Scientist * Senior Research Scientist Copyright 2002 by the American Institute of Aeronautics and Astronautics, Inc. No copyright is asserted in the United States under Title 17, U.S. Code. The U.S. Government has a royalty-free license to exercise all ..