Simulation of the Geometrically Exact Nonlinear String via Energy Quadratisation
Michele Ducceschi,
Stefan Bilbao
Abstract:String vibration represents an active field of research in acoustics. Smallamplitude vibration is often assumed, leading to simplified physical models that can be simulated efficiently. However, the inclusion of nonlinear phenomena due to larger string stretchings is necessary to capture important features, and efficient numerical algorithms are currently lacking in this context. Of the available techniques, many lead to schemes which may only be solved iteratively, resulting in high computational cost, and th… Show more
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