A novel method for producing low cost dynamometric wheels based on harmonic elimination techniques

Gutiérrez-López, Marı́a Dolores; Jalón, Javier García de; Cubillo, Adrián

doi:10.1016/j.ymssp.2014.06.010

Cited by 5 publications

(24 citation statements)

References 7 publications

(15 reference statements)

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“…If the measuring point j of the measuring circumference i is placed exactly on a plane of symmetry of the wheel, the terms

and

would be null. This is consistent with [ 12 ], where there are certain forces and moments (

and

) that generate antisymmetric strain signals and, as a result, only sine terms appear in the Fourier series expansion. Inversely, the forces and moments

and

generate symmetric strain signals and only cosine terms appear in the Fourier series expansion.…”

Section: Description Of the Measurement Systemsupporting

confidence: 90%

“…The linear coefficients, or influence functions, are periodic over the angle rotated by the wheel and thus can be expressed as a Fourier series expansion. This equation already presented in [ 12 , 13 ] has been generalized assuming that the symmetry and antisymmetry conditions of the influence functions are no longer enforced, relaxing consequently the symmetry requirements of the rim and taking into account the minimal displacements while sticking the gauges to the rim.

where

and

are, respectively, the X , Y and Z components of the contact force.…”

Section: Description Of the Measurement Systemmentioning

confidence: 99%

“…For the application of the measurement method, the strain signals of the same circumference i are combined to annul the effect of

. In [ 12 ], it is shown that the first harmonic is generally the dominant one in the strain signals generated by the different forces and moments, except for the moment acting on the y -axis, which generates strain signals in which the first harmonic is approximately null and the second harmonic is the dominant one. Therefore, signals proportional to the amplitude of the first and second harmonic of the strains are obtained.…”

Section: Description Of the Measurement Systemmentioning

confidence: 99%

“…In [ 12 ], a new method was proposed which worked around the disadvantages of most of the existing commercial dynamometric wheels by instrumenting the standard wheels of vehicles. In this case, although the unsprung mass is slightly increased, the dynamic behaviour is not significantly altered.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, improvements to the aforementioned method by relaxing the symmetry conditions needed in order to cancel out more harmonics were presented. Even in [ 12 ], the strain signals measured were not completely equivalent, mainly due to the difficulty of sticking the gauges in precise and exact locations. Not fulfilling the symmetry requirements produces a higher ripple on the ‘continuous’ signals.…”

Section: Introductionmentioning

confidence: 99%

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A new methodology for the estimation of tyre-contact forces is presented. The new procedure is an evolution of a previous method based on harmonic elimination techniques developed with the aim of producing low cost dynamometric wheels. While the original method required stress measurement in many rim radial lines and the fulfillment of some rigid conditions of symmetry, the new methodology described in this article significantly reduces the number of required measurement points and greatly relaxes symmetry constraints. This can be done without compromising the estimation error level. The reduction of the number of measuring radial lines increases the ripple of demodulated signals due to non-eliminated higher order harmonics. Therefore, it is necessary to adapt the calibration procedure to this new scenario. A new calibration procedure that takes into account angular position of the wheel is completely described. This new methodology is tested on a standard commercial five-spoke car wheel. Obtained results are qualitatively compared to those derived from the application of former methodology leading to the conclusion that the new method is both simpler and more robust due to the reduction in the number of measuring points, while contact forces’ estimation error remains at an acceptable level.

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“…If the measuring point j of the measuring circumference i is placed exactly on a plane of symmetry of the wheel, the terms

and

would be null. This is consistent with [ 12 ], where there are certain forces and moments (

and

) that generate antisymmetric strain signals and, as a result, only sine terms appear in the Fourier series expansion. Inversely, the forces and moments

and

generate symmetric strain signals and only cosine terms appear in the Fourier series expansion.…”

Section: Description Of the Measurement Systemsupporting

confidence: 90%