TY - THES A1 - Weitzmann, Rüdiger T1 - Bemessungskonzept für Stahlbetontragwerke auf der Grundlage deformationsbasierter Grenzzustandsbetrachtungen T1 - Design Concept For Reinforced Concrete Structures Using Deformation Based Limit State Analysis N2 - Das Ziel der Arbeit besteht in der Entwicklung eines Bemessungskonzeptes auf der Basis nichtlinearer Schnittgrößen für statisch und dynamisch beanspruchte Stahlbetontragwer-ke. Das Konzept geht dabei von einheitlichen Kriterien zur Analyse der Tragfähigkeit und Gebrauchstauglichkeit auf der Grundlage deformationsbasierter Grenzzustandsbetrach-tungen aus. Der deformationsbasierte Grenzzustand ist dadurch charakterisiert, daß ne-ben der statischen und kinematischen Zulässigkeit eines Tragwerkszustandes auch die Einhaltung von definierten Verzerrungs- bzw. Verformungsgrenzwerten gewährleistet ist. Aus Betrachtungen im Kontinuum werden diskrete Modelle zur Lösung von physikalisch und geometrisch nichtlinearen Grenzwiderstandsaufgaben mit und ohne Berücksichtigung von Lastfolgeeffekten abgeleitet. Die numerische Untersetzung basiert auf Methoden der nichtlinearen Optimierung. Auf der Grundlage dieser Berechnungsmodelle wird eine Be-messungskonzeption entwickelt. N2 - The objective is the development of a design strategy for statically or dynamically excited reinforced concrete structures based on nonlinear distributions of internal forces. The concept starts from an uniform criterion to describe the bearing capacity and serviceability on the bases of deformation based limit states. This limit state is characterized on the one hand by fulfilling the classical demands of ensuring the static and kinematic admissibility and on the other hand by considering predefined limits of deformations. Beginning from modelling under continious conditions discrete modells are derived for solving physical and geometrical nonlinear limit resistance problems with or without the option to consider effects caused by load sequencies. For solving these problems methods of nonlinear pro-gramming are used. On the basis of these calculation models a strategy for the design is developed. KW - Stahlbetonbauteil KW - Bemessung KW - Grenzzustand KW - Deformation KW - Stahlbeton KW - Nichtlineare Optimierung KW - Grenzzustandsanalyse KW - Statik KW - Dynamik KW - Reinforced Concrete KW - Nonlinear Programming KW - Limit Atate Analysis KW - Design KW - Statics Y1 - 2000 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20040216-334 ER - TY - CHAP A1 - Raue, Erich A1 - Weitzmann, Rüdiger T1 - Konzepte zur numerischen Lösung von Grenzwiderstandsaufgaben unter Berücksichtigung des adaptiven Tragverhaltens von Stahlbetonkonstruktionen N2 - Berechnungsmethoden mit Berücksichtigung des physikalisch nichtlinearen Verhaltens von Stahlbetonkonstruktionen werden mit Einführung der europäischen und nationalen Normung verstärkten Einsatz in der Tragwerksplanung finden. Hierbei sind im Gegensatz zu linearen Berechnungen zeitliche Aspekte der Tragwerksbeanspruchung zu berücksichtigen. Ein Lösungsansatz zur Beherrschung von Lastfolgeeffekten kann auf der Grundlage der Theorie des adaptiven Tragwerkes abgeleitet werden. Unter Verwendung von Algorithmen der mathematischen Optimierung lassen sich derartige Probleme numerisch lösen. Von besonderem Interesse sind dabei spezielle Formulierungen zur Bestimmung von Grenzwiderständen, die zur Bemessung von Stahlbetontragwerken herangezogen werden können. Im Beitrag werden zwei Konzepte zur numerischen Bestimmung von adaptiven Grenzwiderständen auf der Basis der nichtlinearen Optimierung vorgestellt, diese sind: - Konzept des superponierten Restzustandes - Konzept der gekoppelten plastischen Antwort. Es wird von einem elastisch- plastischen Verhalten der untersuchten Struktur ausgegangen. KW - Tragwerk KW - Stahlbeton KW - Nichtlineare Mechanik KW - Grenzzustand KW - Numerisches Verfahren Y1 - 2000 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20111215-6164 ER - TY - CHAP A1 - Rutman, Y. L. T1 - Pseudorigidity method (PRM) for solving the problem of limit equilibrium of rigid-plastic constructions N2 - One of the basic types of strength calculations is the calculation of limit equilibrium of constructions. This report describes new method for solving the problem of limit equilibrium. The rigid-plastic system in this method is substituted with an «equivalent» elastic system with specially constructed rigidities. This is why it is called the method of pseudorigidities. An iteration algorithm was developed for finding pseudorigidities. This algorithm is realized in a special software procedure. Conjunction of this procedure with any elastic calculation program (base program) creates a program solving rigid-plastic problems. It is proved, that iterations will be converge to the solution for the problem of limit equilibrium. The solution of tests show, that pseudorigidity method is universal. It allows the following: - to solve problems of limit equilibrium for various models (arch, beam, frame, plate, beam-wall, shell, solid); - to take into account both linearized and square-law fluidity conditions; - to solve problems for various kinds of loads (concentrated, distributed, given by a generalized vector); - to take into account the existing various of fluidity criteria in different sections etc. The iterative PRM process quickly converges. The accuracy of PRM is very high even in case of rough finite-element structuring. The author has used this method for design protection systems from extreme loads due to equipment of nuclear power stations, pipelines, cargo in any transportation. KW - Grenzzustand KW - Gleichgewicht KW - Plastizitätstheorie Y1 - 2000 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20111215-6094 ER - TY - JOUR A1 - Routmann, Y. L. T1 - Pseudorigidity method for solving the problem of limit equilibrium of rigid-plastic constructions N2 - 1.Design calculations , based upon the theory elasticity , cannot completely satisfy engineers and designers , because cannot answer to basic question about overload capability . Only design calculations of limit equilibrium of rigid-plastic constructions can answer to this question completely enough. As a rule , such design calculations are made issue from hypothesis, that material of construction has rigid-plastic diagram Prandtl .This scheme of calculation gives qualitatively more correct results, then usual calculation, based upon law Hooke’s , and allows more really estimate ultimate strength of construction due to different loads. Universal algorithms for solving the problem of limit equilibrium have been created since the middle of the 60’s.These algorithms are based upon two basic theorems about limit analysis - static and kinetics. It was found , that with the help of above-mentioned theorems the problem of limit equilibrium can be formulated as a problem of linear programming (for linear yield) or nonlinear programming (for yield Guber-Mizes). The method of linear programming conformably to calculation of rod systems got the most development in the reports Prager W. [1] and Chiras A. [ 2 ]. The method of linear programming conformably to plates and shells was widely used by Rganizin A.[3]. [3[ contains more full bibliography about this problem. Calculation of limit equilibrium with the help of linear and nonlinear programming has a few significant lacks: - complexity and laboriousness preliminary preparation of problem for PC; - necessity to use special program means , which are not in usual program packet for strength analysis. Author worked out a new method about design calculation of limit equilibrium without above-mentioned lacks . The method is based upon analogy of relations between internal generalized efforts and generalized deformations in elastic system and between generalized efforts and velocities of change generalized deformations in rigid-plastic system. Because later rigid-plastic deformation would be treated as an elastic deformation in the system with special constructed rigidities , this method could be called >pseudorigidity method<. KW - Plastizitätstheorie KW - Gleichgewicht KW - Grenzzustand Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20111215-5447 ER -