Measurement of the rotational inertia of bodies by using mechanical spectroscopy

Pintão, Carlos Alberto Fonzar

doi:10.1007/s12206-014-0914-8

Cited by 6 publications

(13 citation statements)

References 11 publications

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“…The symbols I, G 0 and i represent the rotational inertia, the torsion constant of the wire or sample of the pendulum and the imaginary number i, respectively. In this case, by hypothesis, we discounted air resistance and the friction of the bearings on the rotational motion sensor and Rotational system (RS) because they should not significantly influence the movement [17]. The solution of the above equation is of the form,…”

Section: Equation To Determine the Torsion Modulusmentioning

confidence: 99%

“…On the other hand, if it is necessary to obtain I using Eq. (5), a wire will be needed with a torsion value G 0 , which can be experimentally determined [17]. To do this, simply use the force sensors and rotation and find the best fit of the force depending on the angular position.…”

Section: Equation To Determine the Torsion Modulusmentioning

confidence: 99%

“…Further details and considerations have been extracted from Ref. [17]. With this system, it is possible to evaluate the interference of the sample and means (air and bearing) to which the torsion pendulum oscillates, but these effects cannot be determined separately [17].…”

Section: Validating the Equation To Determine The Torsion Modulusmentioning

confidence: 99%

“…[17]. With this system, it is possible to evaluate the interference of the sample and means (air and bearing) to which the torsion pendulum oscillates, but these effects cannot be determined separately [17]. To make it possible to eliminate the bearing and air, the same traditional method can be employed as that used to study the structural properties of the samples with mechanical spectroscopy.…”

Section: Validating the Equation To Determine The Torsion Modulusmentioning

confidence: 99%

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Torsion modulus using the technique of mechanical spectroscopy in biomaterials

2017

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This work presents a new alternative to studying and determining the shear or torsion modulus, G. For this purpose, a measuring system was constructed with a rotational motion sensor coupled to a torsion pendulum that allowed the determination of the angular position as a function of time. Through an equation derived from studies of mechanical spectroscopy and the theory of relaxation of materials, G was calculated, and experiments were focused on validating it. The advantage of this technique, compared to other dynamical methods, is that it is not necessary to know the Poisson's ratio of the sample.

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Section: Equation To Determine the Torsion Modulusmentioning

confidence: 99%

Section: Equation To Determine the Torsion Modulusmentioning

confidence: 99%

Section: Validating the Equation To Determine The Torsion Modulusmentioning

confidence: 99%

Section: Validating the Equation To Determine The Torsion Modulusmentioning

confidence: 99%

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Torsion modulus using the technique of mechanical spectroscopy in biomaterials

2017

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“…The symbols I, G 0 , and i represent the rotational inertia, the torsion constant of the sample fixed to the pendulum, and the imaginary number, respectively. In this case, we assume that air resistance and the friction of the RMS and rotational system (RS) bearings are negligible because they should not significantly influence movement [26] . The solution to Equation 1 takes the form…”

Section: Methods For Measurement Torsion Modulus Gmentioning

confidence: 99%

Torsion modulus with CaCO3 fillers in unsaturated polyester resin - mechanical spectroscopy

et al. 2022

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This work presents an alternative to studying and determining the torsion modulus, G, in composites. For this purpose, we use a measuring system with a rotation motion sensor coupled with a torsion pendulum that allows for determining the angular position as a function of the time. Then, through an equation derived from mechanical spectroscopy studies that permits the calculation of G's value, the experiments focus on samples of different quantities of calcium carbonate (CaCO 3 ) in unsaturated polyester resins. The results show that CaCO 3 (33.33%W) fillers increase G's value by 88% compared with unsaturated resin (100%W). Furthermore, there is a density increase of approximately 21% with the addition of CaCO 3 , considering the same two samples, which makes these composites the most massive. The relationship between G and composite density shows that it is possible to change the amount of CaCO 3 to increase torsion resistance values in a controlled way.

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