TY - JOUR A1 - Krome, Fabian A1 - Gravenkamp, Hauke ED - Every, A. T1 - Analyzing modal behavior of guided waves using high order eigenvalue derivatives JF - Ultrasonics N2 - 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. KW - Guided waves KW - Mode-tracing KW - Eigenvalue problem derivatives KW - Ultrasound KW - Scaled Boundary Finite Element Method PY - 2016 DO - https://doi.org/10.1016/j.ultras.2016.05.014 SN - 0041-624X VL - 2016 IS - 71 SP - 75 EP - 85 PB - Elsevier B.V. AN - OPUS4-38076 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -