This paper is a sequel to reference [1]. In that paper, the dynamics of the steelpan notes were developed as systems of non-linear mode-localized oscillators. The present paper examines the coupled note-note and note-skirt systems on the steelpan modelled as a plexus of non-linear oscillators interc
THE STEELPAN AS A SYSTEM OF NON-LINEAR MODE-LOCALIZED OSCILLATORS, PART III: THE INVERSE PROBLEM—PARAMETER ESTIMATION
✍ Scribed by A Achong
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 248 KB
- Volume
- 212
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
✦ Synopsis
This paper is the third in the series on this topic. In the earlier papers, the dynamics of the steelpan notes were developed as systems of non-linear mode-localized oscillators which can show note-note and note-skirt coupling. The tonal qualities of a note depend on the coupling parameters and damping coefficients. Here, the inverse problem of parameter estimation is presented for notes that do not show coupling to other subsystems of the instrument.
📜 SIMILAR VOLUMES
By combining the method of multiple scales with the short-time Fourier transform, the vibrational motions of notes on the steelpan have been investigated analytically and experimentally. The motions on this musical instrument display many of the characteristics of non-linear dynamical systems, in pa
The conjugate gradient method, i.e., the iterative regularization method, is used in an inverse non-linear force vibration problem of estimating the unknown time-dependent external forces in a damped system with the displacement-dependent spring constant and damping coe$cients. The accuracy of the i
An inverse non-linear force vibration problem based on the iterative regularization method, i.e., the conjugate gradient method (CGM), is used to estimate the unknown time-dependent external forces in a damped system having time-dependent system parameters by using the measured system displacement.