@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}
}
@inproceedings{BombasaroBucher,
  author    = {Bombasaro, Emanuel and Bucher, Christian},
  title     = {INVESTIGATION OF MODELING ERRORS OF DIFFERENT RANDOM FIELD BASED WIND LOAD FORMULATIONS},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2831},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28318},
  pages     = {11},
  abstract  = {In this paper the influence of changes in the mean wind velocity, the wind profile power-law coefficient, the drag coefficient of the terrain and the structural stiffness are investigated on different complex structural models. This paper gives a short introduction to wind profile models and to the approach by Davenport A. G. to compute the structural reaction of wind induced vibrations. Firstly with help of a simple example (a skyscraper) this approach is shown. Using this simple example gives the reader the possibility to study the variance differences when changing one of the above mentioned parameters on this very easy example and see the influence of different complex structural models on the result. Furthermore an approach for estimation of the needed discretization level is given. With the help of this knowledge the structural model design methodology can be base on deeper understanding of the different behavior of the single models.},
  subject      = {Angewandte Informatik},
  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}
}
@inproceedings{BrehmZabelBucheretal.,
  author    = {Brehm, Maik and Zabel, Volkmar and Bucher, Christian and Ribeiro, D.},
  title     = {AN AUTOMATIC MODE SELECTION STRATEGY FOR MODEL UPDATING USING THE MODAL ASSURANCE CRITERION AND MODAL STRAIN ENERGIES},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2833},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28330},
  pages     = {18},
  abstract  = {In the context of finite element model updating using vibration test data, natural frequencies and mode shapes are used as validation criteria. Consequently, the order of natural frequencies and mode shapes is important. As only limited spatial information is available and noise is present in the measurements, the automatic selection of the most likely numerical mode shape corresponding to a measured mode shape is a difficult task. The most common criterion to indicate corresponding mode shapes is the modal assurance criterion. Unfortunately, this criterion fails in certain cases. In this paper, the pure mathematical modal assurance criterion will be enhanced by additional physical information of the numerical model in terms of modal strain energies. A numerical example and a benchmark study with real measured data are presented to show the advantages of the enhanced energy based criterion in comparison to the traditional modal assurance criterion.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@article{MostBucher,
  author    = {Most, Thomas and Bucher, Christian},
  title     = {New concepts for moving least squares: An interpolating non-singular weighting function and weighted nodal least squares},
  series = {Engineering Analysis with Boundary Elements},
  journal   = {Engineering Analysis with Boundary Elements},
  pages     = {461 -- 470},
  abstract  = {New concepts for moving least squares: An interpolating non-singular weighting function and weighted nodal least squares},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{BucherMost,
  author    = {Bucher, Christian and Most, Thomas},
  title     = {A comparison of approximate response functions in structural reliability analysis},
  series = {Probabilistic Engineering Mechanics},
  journal   = {Probabilistic Engineering Mechanics},
  pages     = {154 -- 163},
  abstract  = {A comparison of approximate response functions in structural reliability analysis},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MostBucher,
  author    = {Most, Thomas and Bucher, Christian},
  title     = {Energy-based simulation of concrete cracking using an improved mixed-mode cohesive crack model within a meshless discretization},
  series = {International Journal for Numerical and Analytical Methods in Geomechanics},
  journal   = {International Journal for Numerical and Analytical Methods in Geomechanics},
  pages     = {285 -- 305},
  abstract  = {Energy-based simulation of concrete cracking using an improved mixed-mode cohesive crack model within a meshless discretization},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MostBucher,
  author    = {Most, Thomas and Bucher, Christian},
  title     = {Probabilistic analysis of concrete cracking using neural networks and random fields},
  series = {Probabilistic Engineering Mechanics},
  journal   = {Probabilistic Engineering Mechanics},
  pages     = {219 -- 229},
  abstract  = {Probabilistic analysis of concrete cracking using neural networks and random fields},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{BucherFrangopol,
  author    = {Bucher, Christian and Frangopol, D.M.},
  title     = {Optimization of lifetime maintenance strategies for deteriorting structures considering probabilities of violating safety, condition, and cost thresholds},
  series = {Probabilistic Engineering Mechanics},
  journal   = {Probabilistic Engineering Mechanics},
  pages     = {1 -- 8},
  abstract  = {Optimization of lifetime maintenance strategies for deteriorting structures considering probabilities of violating safety, condition, and cost thresholds},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MostBucher,
  author    = {Most, Thomas and Bucher, Christian},
  title     = {Stochastic simulation of cracking in concrete structures using multi-parameter random fields},
  series = {International Journal of Reliability and Safety},
  journal   = {International Journal of Reliability and Safety},
  pages     = {168 -- 187},
  abstract  = {Stochastic simulation of cracking in concrete structures using multi-parameter random fields},
  subject      = {Angewandte Mathematik},
  language  = {en}
}