A numerical approach for the computation of dispersion relations for plate structures using the Scaled Boundary Finite Element Method

In this paper, a method is presented for the numerical computation of dispersion properties and mode shapes of guided waves in plate structures. The formulation is based on the Scaled Boundary Finite Element Method. The through-thickness direction of the plate is discretized in the finite element se...

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Bibliographic Details
Published in:	Journal of sound and vibration Vol. 331; no. 11; pp. 2543 - 2557
Main Authors:	Gravenkamp, Hauke, Song, Chongmin, Prager, Jens
Format:	Journal Article
Language:	English
Published:	Kidlington Elsevier Ltd 21-05-2012 Elsevier
Subjects:	Boundary element method Computational techniques Convergence Dispersions Exact sciences and technology Finite element method Finite-element and galerkin methods Fundamental areas of phenomenology (including applications) Mathematical analysis Mathematical methods in physics Mathematical models Physics Plates (structural members) Solid mechanics Structural and continuum mechanics Vibration Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Finite element method Dispersion (wave) Dispersion relations Guided wave Layered materials Modelling Eigenvalue problem Non linear effect scaled boundary finite element method Plates Numerical stability Time-varying systems
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