@inproceedings{KoepplerRoosBurkhardt1997,
  author    = {K{\"o}ppler, H. and Roos, Dirk and Burkhardt, Gerhard},
  title     = {Zur Berechnung vielschichtiger Schalen mit orthotropen Schichten},
  doi       = {10.25643/bauhaus-universitaet.437},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-4379},
  year      = {1997},
  abstract  = {Wirklichkeitsnahe Erfassung und Beschreibung des Trag- und Verformungsverhaltens von Strukturen baulicher Anlagen hat in den letzten Jahrzehnten st{\"a}ndig an Bedeutung gewonnen. Konstruktionen im Hoch- und Industriebau werden zunehmend multifunktional genutzt - die >Grenzen< zwischen Bauwerk und Tragwerk, zwischen H{\"u}ll- und Tragkonstruktion l{\"o}sen sich auf. Werden raumabschließende Elemente (W{\"a}nde, Decken, D{\"a}cher) gleichzeitig als Tragelemente und w{\"a}rme- und schalld{\"a}mmende Konstruktionen ausgef{\"u}hrt, so entstehen beispielsweise Sandwichplatten, deren Schichten sehr stark differierende Materialeigenschaften aufweisen. Beim Aufbau des FEM-Modells f{\"u}r vielschichtige Schalen k{\"o}nnen die Form{\"a}nderungshypothesen f{\"u}r jede Schicht einzeln als auch f{\"u}r die Schale insgesamt gegeben werden. Im ersten Fall ist der Knotenfreiheitsgrad von der Schichtenzahl abh{\"a}ngig, im zweiten Fall nicht. Im weiteren wird eine Form{\"a}nderungshypothese f{\"u}r das Schichtenpaket angenommen. Ausgegangen wird von den Gleichungen der 3D-Elastizit{\"a}tstheorie. Die Ber{\"u}cksichtigung der Querkraftschubverformungen ergibt die M{\"o}glichkeit einer ad{\"a}quaten Beschreibung der Verformungen sowohl d{\"u}nner Schalen als auch von Schalen mittlerer Dicke; die Berechnung der Kr{\"u}mmungen und der LAMEschen Parameter der Bezugsfl{\"a}che zu umgehen, was f{\"u}r komplizierte Schalenformen eine selbst{\"a}ndige Aufgabe ist; eines nat{\"u}rlichen {\"U}bergangs von homogenen zu geschichteten Schalen. Das vielschichtige isoparametrische Schalen-FE wird vorgestellt, seine Implementierung in das in Entwicklung befindliche Programmsystem SLANG wird vorbereitet.},
  subject      = {Schale},
  language  = {de}
}
@inproceedings{Abramian1997,
  author    = {Abramian, A. K.},
  title     = {Superelliptic Shells as new constructive Forms},
  doi       = {10.25643/bauhaus-universitaet.434},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-4347},
  year      = {1997},
  abstract  = {In the superelliptic shell joined to a circular cylinder bending stresses are absent when it is subjected to uniform pressure.Some geometrical characteristics have been found. Expressions for determining stresses in the shell crest(in the singular point of plane type) are suggested. The problem of a theoretical critical buckling load of an elongated shell supported by frames is studied. A critical buckling load for two shells with different specifications was found experimentally.},
  subject      = {Schale},
  language  = {en}
}
@inproceedings{KirichukKoeppler1997,
  author    = {Kirichuk, A. and K{\"o}ppler, H.},
  title     = {Numerical Algorithms and Computer Modeling for nonlinear Analysis of Shell Structures},
  doi       = {10.25643/bauhaus-universitaet.438},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-4382},
  year      = {1997},
  abstract  = {The dynamic behaviour of shells, which are widely used in construction and mechanical engineering as critical components of machinery and 3-D structures, under static and dynamic loadings is described by system of deep nonlinear differential equations. Solution of these equations can be received with assistance of technique basing on a modern numerical algorithms and computer modeling.. The system of nonlinear differential equations of vibration of the shells is proposed taking into account the inertia forces in the tangential and normal directions. Its solution is based on combination of parameter prolongation method, finite-difference method and the Newton-Kantorovich iterative algorithm that allows plotting the loading trajectories and determination of bifurcation points on them. Package of Applied Programs >SEVSOR< is a computation means to be used in research of deformation, stability and vibration in thin axically-symmetric shells of complicated shape Input data include information on shell geometry, physical and mechanical properties, bearing conditions, types of loadings and load application. Frame output of motion forms in real time or either in decelerated or accelerated time scales for creating cartoons or video films is used for analysis of the compound dynamic processes in shell-type structures.},
  subject      = {Schale},
  language  = {en}
}
@inproceedings{Tzanev1997,
  author    = {Tzanev, D.},
  title     = {Entwurf eines objektorientierten Modells zur Analyse von Schalentragwerken},
  doi       = {10.25643/bauhaus-universitaet.439},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-4397},
  year      = {1997},
  abstract  = {In der vorliegenden Arbeit werden dickwandige Schalentragwerke unter statischen Belastungen betrachtet. Die Schale besteht aus verschiedenen Zonen und in jeder Zone wird die Schalenmittelflaeche mittels eines eigenen Geometriegleichungssystems definiert. Das Verzerrungsfeld hat allen 6 unabhaengigen Komponenten unter der Annahme, dass die Querschnittsfasern, die normal zu der Mittelflaeche der unbelasteten Schale sind, geradelinig bleiben. Ein dreidimensionales isoparametrisches finites Element wird vorgeschlagen. Die Berechnung wird mit der Hilfe der Makroelemententechnik durchgefuehrt. In der Arbeit werden die wesentliche Parameter der Schalengeometrie, sowie auch entsprechendes Anteil von Klassen des konstruktiven Modells, definiert. Ein konstruktives Informationsmodell und ein FEM-Informationsmodell, werden entwickelt. Die Informationsverbindungen zwischen den beiden Modellen werden definiert. Diese objektorientierten Modelle werden in Programmiersprache Microsoft Visual C++ v.4.0 unter Windows 95 implementiert. Als numerisches Beispiel wird ein Bogenmauertragwerk betrachtet.},
  subject      = {Bogenstaumauer},
  language  = {de}
}
@inproceedings{ChristovPetrova1997,
  author    = {Christov, Christo T. and Petrova, Lyllia B.},
  title     = {Computer-Aided Static Analysis of Complex Prismatic Orthotropic Shell Structures by the Analytical Finite Strip Method},
  doi       = {10.25643/bauhaus-universitaet.435},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-4358},
  year      = {1997},
  abstract  = {The paper describes a development of the analytical finite strip method (FSM) in displacements for linear elastic static analysis of simply supported at their transverse ends complex orthotropic prismatic shell structures with arbitrary open or closed deformable contour of the cross-section under general external loads. A number of bridge top structures, some roof structures and others are related to the studied class. By longitudinal sections the prismatic thin-walled structure is discretized to a limited number of plane straight strips which are connected continuously at their longitudinal ends to linear joints. As basic unknowns are assumed the three displacements of points from the joint lines and the rotation to these lines. In longitudinal direction of the strips the unknown quantities and external loads are presented by single Fourier series. In transverse direction of each strips the unknown values are expressed by hyperbolic functions presenting an exact solution of the corresponding differential equations of the plane straight strip. The basic equations and relations for the membrane state, for the bending state and for the total state of the finite strip are obtained. The rigidity matrix of the strip in the local and global co-ordinate systems is derived. The basic relations of the structure are given and the general stages of the analytical FSM are traced. For long structures FSM is more efficient than the classic finite element method (FEM), since the problem dimension is reduced by one and the number of unknowns decreases. In comparison with the semi-analytical FSM, the analytical FSM leads to a practically precise solution, especially for wider strips, and provides compatibility of the displacements and internal forces along the longitudinal linear joints.},
  subject      = {Tragwerk},
  language  = {en}
}
@inproceedings{Montag1997,
  author    = {Montag, U.},
  title     = {A New Efficient Concept for Elasto-plastic Simulations of Shell Responses},
  doi       = {10.25643/bauhaus-universitaet.436},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-4364},
  year      = {1997},
  abstract  = {For the analysis of arbitrary, by Finite Elements discretized shell structures, an efficient numerical simulation strategy with quadratic convergence including geometrically and physically nonlinear effects will be presented. In the beginning, a Finite-Rotation shell theory allowing constant shear deformations across the shell thickness is given in an isoparametric formulation. The assumed-strain concept enables the derivation of a locking-free finite element. The Layered Approach will be applied to ensure a sufficiently precise prediction of the propagation of plastic zones even throughout the shell thickness. The Riks-Wempner-Wessels global iteration scheme will be enhanced by a Line-Search procedure to ensure the tracing of nonlinear deformation paths with rather great load steps even in the post-peak range. The elastic-plastic material model includes isotropic hardening. A new Operator-Split return algorithm ensures considerably exact solution of the initial-value problem even for greater load steps. The combination with consistently linearized constitutive equations ensures quadratic convergence in a close neighbourhood to the exact solution. Finally, several examples will demonstrate accuracy and numerical efficiency of the developed algorithm.},
  subject      = {Schale},
  language  = {en}
}