e-book Stahlbau: Teil 2 - Stabilität und Theorie II. Ordnung (Bauingenieur-Praxis) (German Edition)

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Avoiding file locking and using collective buffering, we achieved write bandwiths to a single file close to the theoretical peak on a modern supercomputing cluster.

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The structure of our output file supports a very fast interactive visualisation and introduces additional steering functionality. Flurl, M. The basis for planning a subway tunnel is the so-called alignment model describing the specific course of the track. The alignment itself is one of the fundamental sources for a train's overall energy consumption in the operational phase, which in general lasts for many decades.

Thus, even small changes to the alignment can have a major impact on the overall energy consumption.

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Currently, the alignment's influ-ence on the energy consumption is not, or only rudimentarily, considered in the planning of new subway tunnels. Our approach, presented in this paper, aims to overcome this deficiency based on an autonomous energy simulation to support the engineer while planning the align-ment. This simulation calculates the changes in the energy consumption with every modification made by the planning engineer, in the background and in real time. Thus, this model allows a priori prediction of the energy consumption dur-ing the planning phase, in contrast to other existing approaches that only allow a posteriori calculations during the operational phase.

Additionally, we will present ideas for energy optimisation, in particular, an automatic energy optimisation approach based on an ant colonisation algorithm. Classically, objects are defined by a Boundary Representation B-Rep , where only the objects surfaces with their corresponding edges and nodes are stored.

One disadvantage concerning a numerical simulation is that B-Rep models are not necessarily water-tight. In this context, the model is created using Boolean operations on primitives. To run a finite element simulation on a water-tight CSG model, two alternatives are possible: i it can either be converted to a B-Rep-model to obtain a finite element mesh or ii its implicit description can be used directly by applying an embedded domain approach, like the Finite Cell Method FCM. A crucial point in FCM is a fast and reliable point-in-membership test which can be directly derived from the CSG model.

We present the outline of the modeling approach, the realization of the point-in-membership test as a sequence of CSG-operations, and discuss advantages and limitations on complex models of relevance in mechanical engineering. Im vorliegenden Beitrag werden diese deshalb mit Hilfe eines Optimierungsverfahrens festgelegt. Dieser wurde messtechnisch untersucht und mit finiten Elementen hoher Ordnung simuliert. Die zu minimierende Zielfunktion wird durch den quadratischen Mittelwert RMS-Wert der prozentualen Abweichungen der berechneten Eigenfrequenzen beschrieben.

Da auch Aspekte des Aufbaus von Brettsperrholz-Elementen, wie z. Dabei wird das globale Minimum durch schrittweise Auswertung der Zielfunktion bestimmt, wobei die jeweils folgende Stelle auf Grundlage der bereits bekannten Funktionswerte berechnet wird. Hierdurch konnte ein RMS-Wert von unter 5 erzielt werden. Mundani, R.

Dauge, M. We present a detailed analysis of the convergence properties of the finite cell method which is a fictitious domain approach based on high order finite elements. Several numerical examples in one and two dimensions including a well-known benchmark problem from linear elasticity confirm the results of the mathematical analysis of the finite cell method.

Yosibash, Zohar; Wille, Hagen; Rank, Ernst Show abstract Stochastic description of the peak hip contact force during walking free and going upstairs Journal of Biomechanics 48, pp. Uncertainty quantification for the response of a patient specific femur is mandatory when advocating finite element FE models in clinical applications. Reliable stochastic descriptions of physiological hip contact forces are an essential prerequisite for such an endeavor.

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We therefore analyze the in-vivo available data of seven individuals from HIP98 and OrthoLoad with the objective of characterizing the variability of the peak hip contact force magnitude and two corresponding spatial angles in sagittal and frontal plane during walking free and going upstairs. Regression analyses with linear mixed-effects models were performed resulting in six normal random variables, one for each force component and activity. Importantly, the statistical analysis accounts for the fact that same individuals performed both activities.

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The mean of the peak force magnitude was found to be linearly dependent on the body weight with an additional, activity-specific intercept and all variances were dominated by the inter-patient variability. No distinct correlation was found between the two angles and the force magnitude. The proposed stochastic description of the peak hip contact force during walking free and going upstairs contributes towards future uncertainty quantification of patient-specific FE models.

Frisch, J. The development of parallel Computational Fluid Dynamics CFD codes is a challenging task that entails efficient parallelization concepts and strategies in order to achieve good scalability values when running those codes on modern supercomputers with several thousands to millions of cores. The newly designed data structure is specifically designed with the idea of interactive data exploration and visualization during runtime of the simulation code; a major shortcoming of traditional high-performance computing HPC simulation codes. One question in the context of immersed boundary or fictitious domain methods is how to compute discontinuous integrands in cut elements accurately.

A frequently used method is to apply a composed Gaussian quadrature based on a spacetree subdivision. Although this approach works robustly on any geometry, the resulting integration mesh yields a low order representation of the boundary. If high order shape functions are employed to approximate the solution, this lack of geometric approximation power prevents exponential convergence in the asymptotic range. In this paper we present an algorithmic subdivision approach that aims to be as robust as the spacetree decomposition even for close-to-degenerate cases—but remains geometrically accurate at the same time.

Based on 2D numerical examples, we will show that optimal convergence rates can be obtained with a nearly optimal number of integration points. The implementation of hp-adaptivity is challenging as hanging nodes, edges, and faces have to be constrained to ensure compatibility of the shape functions. For this reason, most hp-code frameworks restrict themselves to 1-irregular meshes to ease the implementational effort.

This work alleviates these difficulties by introducing a new formulation for high-order mesh adaptivity that provides full local hp-refinement capabilities at a comparably small implementational effort. Its main idea is the extension of the hp-d method such that it allows for high-order overlay meshes yielding a hierarchical, multi-level hp-formulation of the Finite Element Method.

This concept enables intuitive refinement and coarsening procedures, while linear independence and compatibility of the shape functions are guaranteed by construction. The proposed method is demonstrated to achieve exponential rates of convergence for problems with non-smooth solutions, is used alongside the Finite Cell Method to simulate the heat flow around moving objects on a non-conforming background mesh and is combined with an energy-based refinement indicator for automatic hp-adaptivity.

Contact problems in solid mechanics are traditionally solved using the h-version of the finite element method. The constraints are enforced along the surfaces of e.

Verbindungen im Stahlbau - Dlubal Software

Standard constraint algorithms include penalty methods, Lagrange multiplier methods and combinations thereof. For complex scenarios, a major part of the solution time is taken up by operations to identify points that come into contact. This paper presents a novel approach to model frictionless contact using high order finite elements. Here, we employ an especially designed material model that is inserted into two- respectively three- dimensional regions surrounding contacting bodies.

Synonyms and antonyms of Stahlbau in the German dictionary of synonyms

Contact constraints are thus enforced on the same manifold as the accompanying structural problem. The application of the current material formulation leads to a regularization of the Karush-Kuhn-Tucker conditions. Our formulation can be classified as a barrier-type method. Results are obtained for two- and three-dimensional prob- lems, including a Hertzian contact problem.

Comparisons to a commercial FEA package are provided. The proposed formulation works well for non-matching discretizations on adjacent contact interfaces and handles self-contact naturally. Since the non-penetrating conditions are solved in a physically consistent man- ner, there is no need for an explicit contact search. In this contribution, the finite cell method FCM is applied to solve transient problems of linear elastodynamics. Semi-discrete time integration schemes are briefly discussed, and the choice of implicit time integration is justified. A one-dimensional benchmark problem is solved using FCM, illustrating the method's ability to solve problems of linear elastodynamics obtaining high rates of convergence.

Furthermore, a numerical example of transient analysis from an industrial application is solved using FCM. The numerical results are compared to the results obtained using state-of-the-art commercial software, employing linear finite elements, in conjunction with explicit time integration. The results illustrate the potential of FCM as a powerful tool for transient analysis in elastodynamics, offering a high degree of accuracy at a moderate computational effort. Osteoporosis compromises bone strength, increasing the risk of vertebral fractures with severe health consequences.

Meaning of "Stahlbau" in the German dictionary

The development of an accurate and reliable patient-specific vertebral model would be of major clinical relevance, for both the prognosis of fractures and the investigation of implant systems. In the case of spinal fusion, the peri-implant bone strains are of major interest. High forces are transmitted at the bone-implant interface and screw loosening is the major cause of surgical failure.

In recent years, the finite element method has been increasingly applied to predict the biomechanical response of vertebrae. In general, quantitative CT-data is used to retrieve the geometric model and the inhomogeneous material properties. A finite element mesh is then generated for the numerical simulation. For the finite element analysis of a bone-implant system, the adequate treatment of the bone-implant interface demands the adaptive refinement of the finite element mesh for an accurate solution.