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This paper deals with the system identification of a mechanical structure supported by nonlinear springs subjected to an external load. If all mechanical parameters of the system were known, the displacement of the system subjected to this load could be easily calculated. However, the monitoring applications often deal with the inverse problem. The loads and displacements of the system are known and certain mechanical Parameters of the system are sought. The solution of such inverse problems can be difficult, especially when they have a nonlinear and multimodal character, which often makes them appear intractable at first sight. However, evolutionary computing can be applied to solve this inverse, nonlinear and multimodal problem. Sometimes a prior knowledge exists on certain system properties, which is difficult to implement into analytical or numerical solvers. This knowledge can play a decisive role in identifying the System properties and it can be easily included as a boundary condition when applying evolutionary algorithms.
This article discusses how and under what conditions the unknown spring resistances can be identified. The practical application of this procedure is exemplified here with the mechanical system of a pile foundation.
The stability and geometric nonlinearities of slender structures are a major topic in structural design. While this topic is most relevant in the field of Structural Engineering, e.g. for steel or concrete structures, only few applications take the role of soil-structure-interaction explicitly into account. The focus of this paper is placed on the impact of soil support and its modelling for the buckling analysis based on examples both for pile foundations and for railway track stability. The general interaction between steel design and the geotechnical input will be addressed. The paper discusses and summarizes a range of subtopics based on experience and current research at the author’s institute.
Relevant factors for the liquefaction susceptibility of cyclically loaded offshore monopiles in sand
(2013)
The offshore foundations may exhibit a relatively high liquefaction susceptibility due to the full saturation of the porous seabed and the cyclic nature of the typical offshore loads. Here, the particular relevance of some of the main factors that affect the liquefaction susceptibility of an offshore monopile will be addressed, focusing on the possibility of a progressive accumulation of residual pore water pressure within the saturated soil around a monopile under cyclic lateral loading. The discussion is based on numerical results obtained with a coupled FE model of the offshore foundation which includes the Biot-Zienkiewicz u-p model. A constitutive model of the Generalized Plasticity type has been used for the soil in order to reproduce important features of its behaviour under cyclic loading. This paper presents the findings derived from a parametric study of the problem and shows that the accumulation of residual pore pressure can produce significant changes of the pile's behaviour under external loading. The paper also investigates the effects caused by the loading from a realistic storm of moderate magnitude and the consequential transient degradation of the foundation's stiffness.
The surface erosion of soil samples caused by an impinging jet can be analyzed using the jet erosion test (JET), a standard experimental test to characterize the erosion resistance of soils. This paper specifically addresses the flow characteristics of a laminar impinging jet over the irregular surface of granular beds to discuss the pertinence and relevance of commonly used empirical estimations based on a selfsimilar model of a free jet. The JET is here investigated at the microscale with a coupled fluid-particle flow numerical odel featuring the lattice Boltzmann method (LBM) for the fluid phase combined with the discrete element method (DEM) for the mechanical behavior of the solid particles. The hydrodynamics of a laminar plane free jet are confronted with the results from a parametric study of jet impingement, both on solid smooth and fixed granular surfaces, that take into account variations in particle size, distance from jet origin, and jet Reynolds number. The flow characteristics at the bed surface are here quantified, including the maximal values in tangential velocity and wall shear stress, which can be regarded as the major cause of particle detachments under hydrodynamic solicitation. It is shown that the maximal velocity at the impinged surface can be described by the free jet self-similar model, provided that a simple empirical coefficient is introduced. Further, an expression is proposed for the maximal shear stress in laminar conditions, including a Blasius-like friction coefficient that is inversely proportional to the square root of the jet Reynolds number. To conclude, finally, the JET erosion of different cohesionless granular samples is analyzed, confirming that the threshold condition at the onset of granular motion is consistent with the Shields diagram and in close agreement with previous experimental results.
Sand densification around the pile has traditionally been regarded as an explanation for the grain migration and soil subsidence that often occur around cyclic laterally loaded piles embedded in sand. Supported by new empirical evidence, this paper proposes that, additionally to some soil densification around the pile, the main cause for the continuous "steady-state" grain migration is a convective cell flow of sand grains in the vicinities of the pile head. Such convective flow would be caused by a ratcheting mechanism triggered by the cyclic low-frequency lateral displacements of the pile. Furthermore, the experimental results suggest that the limit between the convective cell and the static soil is marked by a distinct direct shear surface. This might shed some light into the complex phenomena related to the pile-soil interaction in the upper layers of the bedding, which are normally the main contributor for the lateral load-bearing capacity of piles.
Porenwasserdruckaufbau und Bodenentfestigung um Pfahlgründungen von Offshore-Windenergieanlagen
(2012)
Die Gründung von Offshore-Windenergieanlagen erfordert oft die Installation von Stahl-Pfählen mit großem Durchmesser, entweder als Monopile- oder Mehrpfahl-Konfiguration (Jacket, Tripod, usw.). In dieser Veröffentlichung werden die Auswirkungen einer zyklischen lateralen Belastung auf Offshore-Pfahlgründungen untersucht. Hierbei wird besonderes Augenmerk auf die Entwicklung des Porenwasserdrucks im umgebenden gesättigten Boden gelegt. Es wird gezeigt, dass der progressive Aufbau von Porenwasserdruck zu erheblichen Veränderungen des Verhaltens der Gründung unter externer Belastung führen kann, die die Stabilität bzw. Gebrauchstauglichkeit der Anlage potenziell gefährden. Dazu werden auch einige Effekte, die während eines realistischen Sturms von moderater Stärke entstehen, untersucht. Die transiente Abminderung der Gründungssteifigkeit wird hierbei thematisiert. Die genannten Aspekte wurden von den Autoren mittels eines gekoppelten zweiphasigen numerischen Modells der Offshore-Gründung untersucht. Das verwendete Stoffgesetz für den Boden, im Rahmen der Theorie der verallgemeinerten Plastizität, kann wichtige Merkmale von zyklischem Bodenverhalten reproduzieren, wie z. B. die Tendenz zu einer fortschreitenden Verdichtung unter zyklischer Belastung, die für Verflüssigungsphänomene unter undränierten Bedingungen verantwortlich ist. Die Notwendigkeit der Verwendung eines solchen Ansatzes wird hier anhand von Vergleichsberechnungen mit einem einfacheren Stoffmodell bzw. mit einem ungekoppelten Modell erörtet. Abschließend werden einige Implikationen der untersuchten Fragenstellungen für die praktische Bemessung von Offshore-Monopiles diskutiert und spezifische Empfehlungen gegeben.---------------------------------------------------------------------------------------------------------------------------
For the installation of wind turbines in the offshore environment and their foundation in the seabed it is customary to employ large-diameter steel piles, either in monopile or multi-pile configurations (jacket, tripod, etc. ...). The effects of cyclic lateral loading on the offshore piles and particularly the possibility of a progressive accumulation of residual pore water pressure within the saturated embedding soil are discussed in this article. Here it is shown that this can lead to significant changes of their behaviour under external loading, which can potentially compromise the foundation's stability or serviceability. Furthermore, some of the singular effects arising during a realistic storm of moderate magnitude as well as their potential for transient damages to the foundation's stiffness are addressed in the paper. For the investigation of these phenomena the authors have employed a coupled bi-phasic analytical model of the offshore foundation. The constitutive model employed for the seabed, in the frame of the theory of Generalized Plasticity, can reproduce some complex features of cyclic soil behaviour such as the tendency for a progressive densification under cyclic loading, which is responsible for the soil liquefaction phenomena in undrained conditions. Finally, some implications and specific recommendations for the design of offshore monopiles in the frame of the limit states are provided.
Pore-pressure accumulation and soil softening around pile foundations for offshore wind turbines
(2012)
The saturated sand surrounding an offshore pile
foundation under quasi-static cyclic lateral load can show the
physical phenomena of macromechanical densification and
convective granular flow. Based on the results from physical
model tests at different geometrical scales, this paper
provides a certain quantification of such phenomena and discusses
their causes and consequences. The progressive sand
densification leads to subsidence of the soil surface and a significant
stiffening of the pile behaviour. Conversely, the ratcheting
convective motion of two closed cells of soil beneath
the pile-head is responsible for an endless grain migration at
the soil surface, the inverse grading of the convected material
and a direct shear of the sand at the distinct boundary of the
revolving soil domain. In this respect, and from a macromechanical
perspective considering the soil as a continuum, it
appears that the convecting material tends to follow gradient
lines of shear stress during its ratcheting motion. Concluding
the paper, the practical relevance of these phenomena and
their extrapolation to other conditions are briefly discussed.
This paper presents an erosion interpretation of cohesive granular materials stressed by an impinging jet based on the results of a micromechanical simulation model. The numerical techniques are briefly described, relying on a two-dimensional Lattice Boltzmann Method coupled with a Discrete Element Methods including a simple model of solid intergranular cohesion.
These are then used to perform a parametric study of a planar jet in the laminar regime impinging the surface of granular samples with different degrees of cohesive strength. The results show the pertinence of using a generalized form of the Shields criterion for the quantification of the erosion threshold, which is valid for cohesionless samples, through empirical calibration, and also for cohesive ones. Furthermore, the scouring kinetics are analysed here from the perspective of a selfsimilar expansion of the eroded crater leading to the identification of a characteristic erosion time and the quantification of the classical erosion coefficient. However, the presented results also challenge the postulate of a local erosion law including erodibility parameters as intrinsic material properties. The paper then reviews the main limitations of the simulation and current interpretation models, and discusses the potential causes for the observed discrepancies, questioning the pertinence of using time-averaged macroscopic relations to correctly describe soil erosion. The paper concludes addressing this question with a complementary study of the presented simulations re-assessed at the particle-scale. The resulting local critical shear stress of single grains reveals a very wide dispersion of the data but nevertheless appears to confirm the general macroscopic trend derived for the cohesionless samples, while the introduction of cohesion implies a significant but systematic quantitative deviation between the microscopic and macroscopic estimates. Nevertheless, the micro data still shows consistently that the critical shear stress does actually vary approximately in linear proportion of the adhesive force.