Numerical approximation of Mindlin-Reissner plates
Mathematics of Computation
A new finite element scheme for bending plates
Computer Methods in Applied Mechanics and Engineering
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation
SIAM Journal on Numerical Analysis
AMTA'08 Proceedings of the 9th WSEAS International Conference on Acoustics & Music: Theory & Applications
Modal analysis of different types of classical guitar bodies
AMTA'09 Proceedings of the 10th WSEAS international conference on Acoustics & music: theory & applications
Experimental research regarding the dynamic behaviour of the classical guitar
AMTA'09 Proceedings of the 10th WSEAS international conference on Acoustics & music: theory & applications
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The purpose of this study is to present a time-domain numerical modeling of the guitar. The model involves the transverse displacement of the string excited by a force pulse, the flexural motion of the soundboard and the sound radiation in the air. We use a specific spectral method for solving the Kirchhoff-Love's dynamic plate model for orthotropic material, a fictitious domain method for solving the fluid-structure interaction and a conservative scheme for the time discretization. One of the originality of the proposed scheme is a stable coupling method between a continuous time resolution and a discrete one.