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most citedA high order purely frequency-based harmonic balance formulation for continuation of periodic solutions

259 citations

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math.RT2008

Quasi-reductive (bi)parabolic subalgebras in reductive Lie algebras

Karin Baur, Anne Moreau

We say that a finite dimensional Lie algebra is quasi-reductive if it has a linear form whose stabilizer for the coadjoint representation, modulo the center, is a reductive Lie alg…

physics.class-ph2008★ 110 cited

Approximation of the acoustic radiation impedance of a cylindrical pipe

Fabrice Silva, Philippe Guillemain, Jean Kergomard +2

Useful approximation formulae for radiation impedance are given for the reflection coefficients of both infinitely flanged and unflanged rigid-walled cylindrical ducts. The express…

physics.class-ph2008★ 51 cited

Interaction of reed and acoustic resonator in clarinetlike systems

Fabrice Silva, Jean Kergomard, Christophe Vergez +1

Sound emergence in clarinetlike instruments is investigated in terms of instability of the static regime. Various models of reed-bore coupling are considered, from the pioneering w…

math.DS2008★ 259 cited

A high order purely frequency-based harmonic balance formulation for continuation of periodic solutions

Bruno Cochelin, Christophe Vergez

Combinig the harmonic balance method (HBM) and a continuation method is a well-known technique to follow the periodic solutions of dynamical systems when a control parameter is var…

physics.class-ph2008★ 2 cited

Propagation of compressional elastic waves through a 1-D medium with contact nonlinearities

Bruno Lombard, Joël Piraux

Propagation of monochromatic elastic waves across cracks is investigated in 1D, both theoretically and numerically. Cracks are modeled by nonlinear jump conditions. The mean dilata…

physics.class-ph2008

Seuils d'instabilité d'un instrument de musique à anche simple : approche modale

Fabrice Silva, Jean Kergomard

Many musical instruments, as for example woodwind instruments, flute or violins, are self-sustained oscillating systems, i.e. musician enacts as a continuous energy source to drive…