![]() It is proven that the tilt error is pollution by the rotational displacement on the translational acceleration of the accelerometers. Mathematical formulations of the tilt errors are introduced where an impulse and frequency response function matrix for the measured acceleration from accelerometers is derived. In this paper, tilt error is studied for accelerometers attached to linear, stationary, and dynamic systems where the tilt motion origins from the system response. This results in a tilt error on the measured acceleration that masks the actual translational acceleration. As an accelerometer tilts, it will measure a component of the gravitational acceleration along with the translational acceleration of the sensors. Translational inertia sensors - like the accelerometer - can measure the translational acceleration but they are incapable of distinguishing between translational and tilt motions. ![]()
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