Conservative Numerical Methods for Nonlinear String Dynamics: Non-planar Vibration

Research output: Book/ReportOther report


Nonlinear string vibration, in particular the case of nonplanar motion, has been an area of intense study for many years. Numerical simulation methods, essential for the comparison between measured data and theory, have received somewhat less attention. In this article, various numerical schemes for nonlinear nonplanar string dynamics are presented, with an emphasis on discrete conservation of energy and angular momentum. Simple numerical stability conditions may be arrived at, even under strongly nonlinear conditions, by employing these conservation properties. Full implementation details and various numerical examples are presented, and several topics, including a discussion of numerical loss models and spectral methods, are dealt with in the Appendix.
Original languageEnglish
Number of pages33
Publication statusUnpublished - 9 May 2006


Dive into the research topics of 'Conservative Numerical Methods for Nonlinear String Dynamics: Non-planar Vibration'. Together they form a unique fingerprint.

Cite this