@article{AbdelnourZabel,
  author    = {Abdelnour, Mena and Zabel, Volkmar},
  title     = {Modal identification of structures with a dynamic behaviour characterised by global and local modes at close frequencies},
  series = {Acta Mechanica},
  volume    = {2023},
  journal   = {Acta Mechanica},
  publisher = {Springer},
  address   = {Wien},
  doi       = {10.1007/s00707-023-03598-z},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20230525-63822},
  pages     = {1 -- 21},
  abstract  = {Identification of modal parameters of a space frame structure is a complex assignment due to a large number of degrees of freedom, close natural frequencies, and different vibrating mechanisms. Research has been carried out on the modal identification of rather simple truss structures. So far, less attention has been given to complex three-dimensional truss structures. This work develops a vibration-based methodology for determining modal information of three-dimensional space truss structures. The method uses a relatively complex space truss structure for its verification. Numerical modelling of the system gives modal information about the expected vibration behaviour. The identification process involves closely spaced modes that are characterised by local and global vibration mechanisms. To distinguish between local and global vibrations of the system, modal strain energies are used as an indicator. The experimental validation, which incorporated a modal analysis employing the stochastic subspace identification method, has confirmed that considering relatively high model orders is required to identify specific mode shapes. Especially in the case of the determination of local deformation modes of space truss members, higher model orders have to be taken into account than in the modal identification of most other types of structures.},
  subject      = {Fachwerkbau},
  language  = {en}
}
@article{BrehmZabelBucher,
  author    = {Brehm, Maik and Zabel, Volkmar and Bucher, Christian},
  title     = {An automatic mode pairing strategy using an enhanced modal assurance citerion based on modal strain energies},
  series = {Journal of Sound and Vibration},
  journal   = {Journal of Sound and Vibration},
  doi       = {10.1016/j.jsv.2010.07.006},
  pages     = {5375 -- 5392},
  abstract  = {In the context of finite element model updating using output-only vibration test data, natural frequencies and mode shapes are used as validation criteria. Consequently, the correct pairing of experimentally obtained and numerically derived natural frequencies and mode shapes is important. In many cases, only limited spatial information is available and noise is present in the measurements. Therefore, the automatic selection of the most likely numerical mode shape corresponding to a particular experimentally identified mode shape can be a difficult task. The most common criterion for indicating corresponding mode shapes is the modal assurance criterion. Unfortunately, this criterion fails in certain cases and is not reliable for automatic approaches. In this paper, the purely mathematical modal assurance criterion will be enhanced by additional physical information from the numerical model in terms of modal strain energies. A numerical example and a benchmark study with experimental data are presented to show the advantages of the proposed energy-based criterion in comparison to the traditional modal assurance criterion.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{BrehmZabelBucher,
  author    = {Brehm, Maik and Zabel, Volkmar and Bucher, Christian},
  title     = {Optimal reference sensor positions for applications in model updating using output-only vibration test data based on random excitation: Part 2 - improved search strategy and experimental case study},
  series = {Mechanical Systems and Signal Processing},
  journal   = {Mechanical Systems and Signal Processing},
  abstract  = {Optimal reference sensor positions for applications in model updating using output-only vibration test data based on random excitation: Part 2 - improved search strategy and experimental case study},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{KeitelKarakiLahmeretal.,
  author    = {Keitel, Holger and Karaki, Ghada and Lahmer, Tom and Nikulla, Susanne and Zabel, Volkmar},
  title     = {Evaluation of coupled partial models in structural engineering using graph theory and sensitivity analysis},
  series = {Engineering structures},
  journal   = {Engineering structures},
  pages     = {3726 -- 3736},
  abstract  = {Evaluation of coupled partial models in structural engineering using graph theory and sensitivity analysis},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{LuuMartinezRodrigoZabeletal.,
  author    = {Luu, M. and Martinez-Rodrigo, M.D. and Zabel, Volkmar and K{\"o}nke, Carsten},
  title     = {H∞ optimization of fluid viscous dampers for reducing vibrations of high-speed railway bridges},
  series = {Journal of Sound and Vibration},
  journal   = {Journal of Sound and Vibration},
  pages     = {2421 -- 2442},
  abstract  = {H∞ optimization of fluid viscous dampers for reducing vibrations of high-speed railway bridges},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{Zabel,
  author    = {Zabel, Volkmar},
  title     = {An application of discrete wavelet analysis and connection coefficients to parametric system identification},
  series = {Structural Health Monitoring},
  journal   = {Structural Health Monitoring},
  pages     = {5 -- 18},
  abstract  = {An application of discrete wavelet analysis and connection coefficients to parametric system identification},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZabelBrehm,
  author    = {Zabel, Volkmar and Brehm, Maik},
  title     = {Das dynamische Verhalten von Eisenbahnbr{\"u}cken mit kurzer Spannweite - numerische und experimentelle Untersuchungen},
  series = {Bauingenieur, D-A-CH-Mitteilungsblatt},
  journal   = {Bauingenieur, D-A-CH-Mitteilungsblatt},
  abstract  = {Das dynamische Verhalten von Eisenbahnbr{\"u}cken mit kurzer Spannweite - numerische und experimentelle Untersuchungen},
  subject      = {Angewandte Mathematik},
  language  = {de}
}