Hermitian lumped mass matrix formulation for flexural wave propagation

Hermitian finite difference operators are employed to formulate a new diagonal mass matrix for solving flexural wave propagation problems. The dynamic equilibrium for moments is considered. The consistency of the formulation is evident because these operators explicitly present second‐order converge...

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Veröffentlicht in:	Communications in numerical methods in engineering 1998-01, Vol.14 (1), p.43-49
1. Verfasser:	Laier, José Elias
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology flexural wave propagation Fundamental areas of phenomenology (including applications) Hermitian finite difference operators lumped mass matrix numeric velocity dispersion Physics Solid mechanics Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Vibrations and mechanical waves
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Beschreibung
Zusammenfassung:	Hermitian finite difference operators are employed to formulate a new diagonal mass matrix for solving flexural wave propagation problems. The dynamic equilibrium for moments is considered. The consistency of the formulation is evident because these operators explicitly present second‐order convergence. Numerical results indicate that the velocity dispersion is very close to the consistent mass matrix. © 1998 John Wiley & Sons, Ltd.
ISSN:	1069-8299 1099-0887
DOI:	10.1002/(SICI)1099-0887(199801)14:1<43::AID-CNM132>3.0.CO;2-A