Effects of training and melodic features on mode perception

The two modes most widely used in Western music today convey opposite moods—a distinction that nonmusicians and even young children are able to make. However, the current studies provide evidence that, despite a strong link between mode and affect, mode perception is problematic. Nonmusicians found mode discrimination to be harder than discrimination of other melodic features, and they were not able to accurately classify major and minor melodies with these labels. Although nonmusicians were able to classify major and minor melodies using affective labels, they performed at chance in mode discrimination. Training, in the form of short lessons given to nonmusicians and the natural musical experience of musicians, improved performance, but not to ceiling levels. Tunes with high note density were classified as major, and tunes with low note density as minor, even though these features were actually unrelated in the experimental material. Although these findings provide support for the importance of mode in the perception of emotion, they clearly indicate that these mode perceptions are inaccurate, even in trained individuals, without the assistance of affective labeling.

Planetary Gear Modal Vibration Experiments and Correlation against Lumped-Parameter and Finite Element Models

Experimental modal analysis techniques are applied to characterize the planar dynamic behavior of two spur planetary gears. Rotational and translational vibrations of the sun gear, carrier, and planet gears are measured. Experimentally obtained natural frequencies, mode shapes, and dynamic response are compared to the results from lumped-parameter and finite element models. Two qualitatively different classes of mode shapes in distinct frequency ranges are observed in the experiments and confirmed by the lumped-parameter model, which considers the accessory shafts and fixtures in the system to capture all of the natural frequencies and modes. The finite element model estimates the high-frequency modes that have significant tooth mesh deflection without considering the shafts and fixtures. The lumped-parameter and finite element models accurately predict the natural frequencies and modal properties established by experimentation. Rotational, translational, and planet mode types presented in published mathematical studies are confirmed experimentally. The number and types of modes in the low-frequency and high-frequency bands depend on the degrees of freedom in the central members and planet gears, respectively. The accuracy of natural frequency prediction is improved when the planet bearings have differing stiffnesses in the tangential and radial directions, consistent with the bearing load direction. (C) 2012 Elsevier Ltd. All rights reserved.