4 papers
Computing critical velocities in waveguides via multiparameter eigenvalue problems
Hauke Gravenkamp, Xiang Liu
In waveguide dynamics and moving-load problems (e.g., high-speed trains), critical velocities indicate the onset of strong vibration amplification. In systems that are invariant in…
A modified Levenberg-Marquardt method for estimating the elastic material parameters of polymer waveguides using residuals between autocorrelated frequency responses
Dominik Itner, Dmitrij Dreiling, Hauke Gravenkamp +2
In this contribution, we address the estimation of the frequency-dependent elastic parameters of polymers in the ultrasound range, which is formulated as an inverse problem. This i…
Computing leaky waves in semi-analytical waveguide models by exponential residual relaxation
Hauke Gravenkamp, Bor Plestenjak, Daniel A. Kiefer
Semi-analytical methods for the modeling of guided waves in structures of constant cross-section lead to frequency-dependent polynomial eigenvalue problems for the wavenumbers and…
A Sylvester equation approach for the computation of zero-group-velocity points in waveguides
Bor Plestenjak, Daniel A. Kiefer, Hauke Gravenkamp
Eigenvalues of parameter-dependent quadratic eigenvalue problems form eigencurves. The critical points on these curves, where the derivative vanishes, are of practical interest. A…