Corpus ID: 108666465

A modal method for the simulation of nonlinear dynamical systems with application to bowed musical intruments

@inproceedings{Incio2008AMM,
  title={A modal method for the simulation of nonlinear dynamical systems with application to bowed musical intruments},
  author={Oct{\'a}vio In{\'a}cio},
  year={2008}
}
Bowed instruments are among the most exciting sound sources in the musical world, mostly because of the expressivity they allow to a musician or the variety of sounds they can generate. From the physical point of view, the complex nature of the nonlinear sound generating mechanism – the friction between two surfaces – is no less stimulating. In this thesis, a physical modelling computational method based on a modal approach is developed to perform simulations of nonlinear dynamical systems with… Expand
Nonlinear dynamical processes in musical interactions: Investigating the role of nonlinear dynamics in supporting surprise and exploration in interactions with digital musical instruments
TLDR
Two complementary studies provide evidence both for the existing importance of nonlinear dynamical processes in musical interactions with acoustic interactions, and their potential for deployment in the development of new creative digital technologies, musical or otherwise. Expand
Identification of the nonlinear excitation force acting on a bowed string using the dynamical responses at remote locations
Abstract For achieving realistic numerical simulations of bowed string instruments, based on physical modeling, a good understanding of the actual friction interaction phenomena is of greatExpand
Nonlinear Dynamics In Musical Interactions
TLDR
Engagements with nonlinear dynamical processes in existing musical instruments and practices provide clear evidence of the utility of both nonlinear dynamics, and interactional surprises more generally, suggesting that they can be of use in other domains where creative exploration is a concern. Expand
An Electro-Acoustic Implementation of Tibetan Bowls: Acoustics and Perception
Tibetan singing bowls are employed worldwide for meditation, music, relaxation, personal wellbeing, and religious practices. Each Tibetan bowl can produce a limited number of sounds, defined by theExpand
Topographical optimization of structures for use in musical instruments and other applications
40 Research Design 41 Topology Definition 42 Meshing 45 Frequency Definition and Optimization 45 Verification of Computer Optimized Geometry 46 Results and Analysis 47 Computational Results 47Expand
iii TOPOGRAPHICAL OPTIMIZATION OF STRUCTURES FOR USE IN MUSICAL INSTRUMENTS AND OTHER APPLICATIONS
........................................................................................................................ 40 Research DesignExpand

References

SHOWING 1-10 OF 122 REFERENCES
ON THE OSCILLATIONS OF MUSICAL-INSTRUMENTS
The time‐domain description of musical and other nonlinear oscillators complements the more commonly used frequency‐domain description, and is advantageous for some purposes. It is especiallyExpand
The nonlinear physics of musical instruments
Musical instruments are often thought of as linear harmonic systems, and a first-order description of their operation can indeed be given on this basis, once we recognise a few inharmonic exceptionsExpand
Simulation of the Oscillation Regimes of Bowed Bars: A Nonlinear Modal Approach
It is still a challenge to properly simulate the complex stick-slip behavior of multi-degree-of-freedom systems. In the present paper we investigate the self-excited nonlinear responses of bowedExpand
Time-domain simulation of a guitar: model and method.
TLDR
This paper presents a three-dimensional time-domain numerical model of the vibration and acoustic radiation from a guitar that shows the complex evolution of the directivity pattern in the near field of the instrument, especially during the attack. Expand
Modal Representations and Computational Complexity in Physical Modeling Sound Synthesis
TLDR
It is found that for general LTI systems, there are fundamental limits on computational cost which are governed by the system parameters and geometry alone, as well as the audio sample rate, and it is interesting to note that this holds not merely for modal representations, but for any numerical method, including time domain techniques. Expand
Measurements and efficient simulations of bowed bars
  • Essl, Cook
  • Physics, Medicine
  • The Journal of the Acoustical Society of America
  • 2000
TLDR
Experimental measurements of bars of bar percussion instruments bowed by a double bass bow and by a bowing machine are presented and the relationships between performance parameters and perceptional parameters which are relevant for musical performance are examined. Expand
The dynamics of Tibetan singing bowls
Tibetan bowls have been traditionally used for ceremonial and meditation purposes, but are also increasingly being used in contemporary music-making. They are handcrafted using alloys of severalExpand
The Bowed String On the Development of Helmholtz Motion and On the Creation of Anomalous Low Frequencies
Of the many waveforms the bowed string can assume, the so-called “Helmholtz motion” (Helmholtz 1862) gives the fullest sound in terms of power and overtone richness. The development of thisExpand
The physics of tibetan singing bowls
Tibetan bowls have been traditionally used for ceremonial and meditation purposes, but are also increasingly being used in contemporary music-making. They are handcrafted using alloys of severalExpand
Anomalous low‐pitched tones from a bowed violin string
With a bow force greater than the Schelleng maximum and careful control, it will be demonstrated that it is possible to produce sounds on a violin of definite pitch ranging from approximately aExpand
...
1
2
3
4
5
...