84 citations · 204 across the 10 of their papers we have counts for
10 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…
Computation of leaky waves in layered structures coupled to unbounded media by exploiting multiparameter eigenvalue problems
Hauke Gravenkamp, Bor Plestenjak, Daniel A. Kiefer +1
We present a semi-analytical approach to compute quasi-guided elastic wave modes in horizontally layered structures radiating into unbounded fluid or solid media. This problem is o…
Automatic 3D modeling by combining SBFEM and transfinite element shape functions
Hauke Gravenkamp, Albert A. Saputra, Sascha Eisenträger
The scaled boundary finite element method (SBFEM) has recently been employed as an efficient means to model three-dimensional structures, in particular when the geometry is provide…
Notes on osculations and mode tracing in semi-analytical waveguide modeling
Hauke Gravenkamp, Bor Plestenjak, Daniel A. Kiefer
The dispersion curves of (elastic) waveguides frequently exhibit crossings and osculations (also known as veering, repulsion, or avoided crossing). Osculations are regions in the d…
Computing zero-group-velocity points in anisotropic elastic waveguides: Globally and locally convergent methods
Daniel A. Kiefer, Bor Plestenjak, Hauke Gravenkamp +1
Dispersion curves of elastic waveguides exhibit points where the group velocity vanishes while the wavenumber remains finite. These are the so-called zero-group-velocity (ZGV) poin…
A massively parallel explicit solver for elasto-dynamic problems exploiting octree meshes
Junqi Zhang, Ankit Ankit, Hauke Gravenkamp +2
Typical areas of application of explicit dynamics are impact, crash test, and most importantly, wave propagation simulations. Due to the numerically highly demanding nature of thes…
High order transition elements: The xNy-element concept -- Part I: Statics
Sascha Duczek, Albert Artha Saputra, Hauke Gravenkamp
Advanced transition elements are of utmost importance in many applications of the finite element method (FEM) where a local mesh refinement is required. Considering problems that e…