@inproceedings{Nikulla,
  author    = {Nikulla, Susanne},
  title     = {INFLUENCE OF THE ABSTRACTION LEVEL IN KINEMATICAL MODELS OF FINITE ELEMENT 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.2878},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28780},
  pages     = {9},
  abstract  = {Nonlinear analyses are characterised by approximations of the fundamental equations in different quality. Starting with a general description of nonlinear finite element formulation the fundamental equations are derived for plane truss elements. Special emphasis is placed on the determination of internal and external system energy as well as influence of different quality approaches for the displacement-strain relationship on solution quality. To simplify the solution procedure the nonlinear function describing the kinematics is expanded into a Taylor series and truncated after the n-th series term. The different kinematics influence speed of convergence as well as exactness of solution. On a simple truss structure this influence is shown. To assess the quality of different formulations concerning the nonlinear kinematic equation three approaches are discussed. First the overall internal and external energy is compared for different kinematical models. In a second step the energy content related to single terms describing displacement-strain relationship is investigated and used for quality control following two different paths. Based on single ε-terms an adaptive scheme is used to change the kinematical model depending on increasing nonlinearity of the structure. The solution quality has turned out satisfactory compared to the exact result. More detailed investigations are necessary to find criteria for the threshold values for the iterative process as well as for decision on number and step size of incremental load steps.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@phdthesis{Nikulla,
  author    = {Nikulla, Susanne},
  title     = {Quality assessment of kinematical models by means of global and goal-oriented error estimation techniques},
  publisher = {Verlag der Bauhaus-Universit{\"a}t Weimar},
  address   = {Weimar},
  doi       = {10.25643/bauhaus-universitaet.1616},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20120419-16161},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {117},
  abstract  = {Methods for model quality assessment are aiming to find the most appropriate model with respect to accuracy and computational effort for a structural system under investigation. Model error estimation techniques can be applied for this purpose when kinematical models are investigated. They are counted among the class of white box models, which means that the model hierarchy and therewith the best model is known. This thesis gives an overview of discretisation error estimators. Deduced from these, methods for model error estimation are presented. Their general goal is to make a prediction of the inaccuracies that are introduced using the simpler model without knowing the solution of a more complex model. This information can be used to steer an adaptive process. Techniques for linear and non-linear problems as well as global and goal-oriented errors are introduced. The estimation of the error in local quantities is realised by solving a dual problem, which serves as a weight for the primal error. So far, such techniques have mainly been applied in material modelling and for dimensional adaptivity. Within the scope of this thesis, available model error estimators are adapted for an application to kinematical models. Their applicability is tested regarding the question of whether a geometrical non-linear calculation is necessary or not. The analysis is limited to non-linear estimators due to the structure of the underlying differential equations. These methods often involve simplification, e.g linearisations. It is investigated to which extent such assumptions lead to meaningful results, when applied to kinematical models.},
  subject      = {Model quality, Model error estimation, Kinematical model, Geometric non-linearity, Finite Element method},
  language  = {en}
}
@misc{Nikulla2008,
  author    = {Nikulla, Susanne},
  title     = {Untersuchung des dynamischen Verhaltens von Eisenbahnbr{\"u}cken bei wechselnden Umweltbedingungen},
  doi       = {10.25643/bauhaus-universitaet.1356},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20081020-14324},
  year      = {2008},
  abstract  = {Im Zuge des Ausbaus von Eisenbahnstrecken f{\"u}r den Hochgeschwindigkeitsverkehr muss sichergestellt werden, dass keine Resonanz zwischen den periodisch einwirkenden Radlasten und den Br{\"u}ckeneigenfrequenzen entsteht. Bei der Untersuchung einzelner Bauwerke wurden teilweise recht große Schwankungen des dynamischen Verhaltens im Verlauf der Jahreszeiten festgestellt. Um diese Beobachtungen zu pr{\"a}zisieren, wurden an zwei ausgew{\"a}hlten Walztr{\"a}ger-in-Beton-Br{\"u}cken {\"u}ber den Zeitraum von 15 Monaten Beschleunigungsmessungen durchgef{\"u}hrt. Die gewonnenen Daten wurden mit der Stochastic Subspace Methode, die im ersten Teil der Arbeit n{\"a}her erl{\"a}utert wird, ausgewertet. Es konnte f{\"u}r alle Eigenmoden ein Absinken der Eigenfrequenz bei steigender Temperatur beobachtet werden. Um die Ursachen hierf{\"u}r genauer zu untersuchen, wurde f{\"u}r eine der beiden Br{\"u}cken ein Finite-Elemente-Modell mit dem Programm SLang erstellt. Mittels einer Sensitivit{\"a}tsanalyse wurden die f{\"u}r das Schwingverhalten maßgebenden Systemeigenschaften identifiziert. Die anschließend durchgef{\"u}hrte Strukturoptimierung unter Nutzung des genetischen Algorithmus sowie des adaptiven Antwortfl{\"a}chenverfahrens konnte die Temperaturabh{\"a}ngigkeit einzelner Materialparameter aufzeigen, die zumindest eine Ursache f{\"u}r Schwankungen der Eigenfrequenzen darstellen.},
  subject      = {Dynamik},
  language  = {de}
}