Analyzing modal behavior of guided waves using high order eigenvalue derivatives.
This paper presents a mode-tracing approach for elastic guided waves based on analytically computed derivatives and includes a study of interesting phenomena in the dispersion curve representation. Numerical simulation is done by means of the Scaled Boundary Finite Element Method (SBFEM). Two approaches are used to identify the characteristics of the resulting wave modes: Taylor approximation and Padé approximation. Higher order differentials of the underlying eigenvalue problem are the basis for these approaches. Remarkable phenomena in potentially critical frequency regions are identified and the tracing approach is adapted to these regions. Additionally, a stabilization of the solution process is suggested.
Federal Institute for Materials Research and Testing, 12200 Berlin, Germany. Electronic address: Fabian.Krome@bam.de.
Fabian
F
Krome
University of Duisburg-Essen, 45141 Essen, Germany.
Hauke
H
Gravenkamp
D003198:Computer Simulation; D020342:Finite Element Analysis; D008962:Models, Theoretical; D013016:Sound
Eigenvalue problem derivatives; Guided waves; Mode-tracing; Scaled Boundary Finite Element Method; Ultrasound