Comparison of Two Experiments Based on a Physical and a Torsion Pendulum to Determine the Mass Moment of Inertia Including Measurement Uncertainties

Abstract

To determine the mass-moment-of-inertia properties of devices under test with particularly small mass moments of inertia (some 10 −4 kg m 2 ), two measurement set-ups based on different measurement principles were developed. One set-up is based on a physical pendulum, the second set-up incorporates a torsion pendulum. Both measurement set-ups and their measurement principles are described in detail, including the chosen data acquisition and analysis. Measurement uncertainty estimations according to the Guide to the Expression of Uncertainty in Measurement (GUM) were carried out for both set-ups by applying Monte Carlo simulations. Both set-ups were compared using the same three devices under test. For each measurement result, the measurement uncertainties were estimated. The measurement results are compared in terms of consistency and the resulting measurement uncertainties. For the given devices under test, the torsion pendulum set-up gave results with smaller measurement uncertainties compared to the set-up incorporating a physical pendulum.

Motion control applications: observer based DC motor parameters estimation for novices

“…This section analyzes the stability of the system when the friction is compensated. The simplified transfer function (27) between the input Tdis and output   is derived from Figure 7. The experimental values used for the MATLAB simulations are listed in Table 3.…”

“…The experimental values used for the MATLAB simulations are listed in Table 3. The stability of the system is analyzed using root locus plot for (27) shown in Figure 8. The transfer function gain K is changed from 1 to 10000, resulting in stable characteristics of the system.…”

“…Although there are researches to estimate the viscous friction of DC motors used in precise control applications such as position control, the torque coefficient and motor inertia were not taken into consideration [23]- [26]. In [27], load model parameters were obtained using an evolutionary algorithm but the friction coefficient of the motor was not considered.…”

Inertia property determination by spectrum analysis of damped oscillation detection signal

“…The oscillation method [22][23][24][25][26], including torsion pendulum method, compound pendulum method and multi-filar pendulum method, is the most widely used, reliable and accurate method for determining the inertia properties of large objects.…”

Instantaneous Characteristics of Nonlinear Torsion Pendulum and Its Application in Parameter Estimation of Nonlinear System

“…The torsion pendulum system has been widely used to measure the moment of inertia of mechanical systems such as missile and engine [1][2][3][4].…”