Adaptive Finite Element Verfahren bei der Analyse von Flaechentragwerken

In the present thesis adaptive methods in finite element analyses are developed and investigated. The objective is to obtain finite element meshes with a relatively low number of degrees of freedom and a high accuracy for the results of plate and shell structures. For that strategies are used calculating the quality of the finite element discretisation and optimizing the mesh, along with the standard finite element algorithms. Out of the variety of published different adaptive strategies some were selected and are introduced. On this basis a new procedure is developed handling the adaptive generation of almost ideal finite element meshes. A mesh generator of the advancing front method type is the core of this strategy generating adaptive refined FE-meshes on results of the error estimation. Chapter 2-4 presents the adaptive concept including the new development. Chapter 5 displays expressive examples. For the design of real world structures several loadcases have to be examined. This means that the acceptance of an adaptive concept is only guaranteed if all loadcases are considered. Therefore some strategies are discussed in order to integrate a variety of different loadcases. (orig.)SIGLEAvailable from TIB Hannover: RN 3694(20) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman