{"_id":"vqxzE4kzgGWgy7dJu","bibbaseid":"vanwalstijn-bridges-simulationofdistributedcontactinstringinstrumentsamodalexpansionapproach-2016","authorIDs":[],"author_short":["van Walstijn , M.","Bridges, J."],"bibdata":{"bibtype":"inproceedings","type":"inproceedings","author":[{"firstnames":["M."],"propositions":["van Walstijn"],"lastnames":[],"suffixes":[]},{"firstnames":["J."],"propositions":[],"lastnames":["Bridges"],"suffixes":[]}],"booktitle":"2016 24th European Signal Processing Conference (EUSIPCO)","title":"Simulation of distributed contact in string instruments: A modal expansion approach","year":"2016","pages":"1023-1027","abstract":"Impactive contact between a vibrating string and a barrier is a strongly nonlinear phenomenon that presents several challenges in the design of numerical models for simulation and sound synthesis of musical string instruments. These are addressed here by applying Hamiltonian methods to incorporate distributed contact forces into a modal framework for discrete-time simulation of the dynamics of a stiff, damped string. The resulting algorithms have spectral accuracy, are unconditionally stable, and require solving a multivariate nonlinear equation that is guaranteed to have a unique solution. Exemplifying results are presented and discussed in terms of accuracy, convergence, and spurious high-frequency oscillations.","keywords":"acoustic signal processing;music;musical instruments;nonlinear equations;modal expansion approach;impactive contact;vibrating string;musical string instruments;sound synthesis;Hamiltonian method;distributed contact forces;modal framework;discrete-time simulation;stiff dynamics;damped string;spectral accuracy;multivariate nonlinear equation;high-frequency oscillations;Numerical models;Damping;Force;Mathematical model;Instruments;Numerical stability;Europe","doi":"10.1109/EUSIPCO.2016.7760403","issn":"2076-1465","month":"Aug","url":"https://www.eurasip.org/proceedings/eusipco/eusipco2016/papers/1570254783.pdf","bibtex":"@InProceedings{7760403,\n author = {M. {van Walstijn} and J. Bridges},\n booktitle = {2016 24th European Signal Processing Conference (EUSIPCO)},\n title = {Simulation of distributed contact in string instruments: A modal expansion approach},\n year = {2016},\n pages = {1023-1027},\n abstract = {Impactive contact between a vibrating string and a barrier is a strongly nonlinear phenomenon that presents several challenges in the design of numerical models for simulation and sound synthesis of musical string instruments. These are addressed here by applying Hamiltonian methods to incorporate distributed contact forces into a modal framework for discrete-time simulation of the dynamics of a stiff, damped string. The resulting algorithms have spectral accuracy, are unconditionally stable, and require solving a multivariate nonlinear equation that is guaranteed to have a unique solution. Exemplifying results are presented and discussed in terms of accuracy, convergence, and spurious high-frequency oscillations.},\n keywords = {acoustic signal processing;music;musical instruments;nonlinear equations;modal expansion approach;impactive contact;vibrating string;musical string instruments;sound synthesis;Hamiltonian method;distributed contact forces;modal framework;discrete-time simulation;stiff dynamics;damped string;spectral accuracy;multivariate nonlinear equation;high-frequency oscillations;Numerical models;Damping;Force;Mathematical model;Instruments;Numerical stability;Europe},\n doi = {10.1109/EUSIPCO.2016.7760403},\n issn = {2076-1465},\n month = {Aug},\n url = {https://www.eurasip.org/proceedings/eusipco/eusipco2016/papers/1570254783.pdf},\n}\n\n","author_short":["van Walstijn , M.","Bridges, J."],"key":"7760403","id":"7760403","bibbaseid":"vanwalstijn-bridges-simulationofdistributedcontactinstringinstrumentsamodalexpansionapproach-2016","role":"author","urls":{"Paper":"https://www.eurasip.org/proceedings/eusipco/eusipco2016/papers/1570254783.pdf"},"keyword":["acoustic signal processing;music;musical instruments;nonlinear equations;modal expansion approach;impactive contact;vibrating string;musical string instruments;sound synthesis;Hamiltonian method;distributed contact forces;modal framework;discrete-time simulation;stiff dynamics;damped string;spectral accuracy;multivariate nonlinear equation;high-frequency oscillations;Numerical models;Damping;Force;Mathematical model;Instruments;Numerical stability;Europe"],"metadata":{"authorlinks":{}},"downloads":0},"bibtype":"inproceedings","biburl":"https://raw.githubusercontent.com/Roznn/EUSIPCO/main/eusipco2016url.bib","creationDate":"2021-02-13T17:31:52.061Z","downloads":0,"keywords":["acoustic signal processing;music;musical instruments;nonlinear equations;modal expansion approach;impactive contact;vibrating string;musical string instruments;sound synthesis;hamiltonian method;distributed contact forces;modal framework;discrete-time simulation;stiff dynamics;damped string;spectral accuracy;multivariate nonlinear equation;high-frequency oscillations;numerical models;damping;force;mathematical model;instruments;numerical stability;europe"],"search_terms":["simulation","distributed","contact","string","instruments","modal","expansion","approach","van walstijn ","bridges"],"title":"Simulation of distributed contact in string instruments: A modal expansion approach","year":2016,"dataSources":["koSYCfyY2oQJhf2Tc","JiQJrC76kvCnC3mZd"]}