TY - CONF A1 - Auersch, Lutz A1 - Markfort, Greta T1 - Static and dynamic behaviour of pile foundations in homogeneous and inhomogeneous soils N2 - Offshore wind energy towers are dynamically loaded by waves and wind. Pile foundations provide stiffness and damping and should be properly calculated. A combined finite-element boundary-element method for the dynamic interaction of flexible structures and the soil has been developed. The flexible structures such as single piles or complete wind energy towers are modeled by the finite element method whereas the homogeneous or layered soil is modeled by the boundary element method which uses the Green’s functions for interior loads in the layered half-space to establish the dynamic stiffness matrix of the soil. Soils with a stiffness that is continuously increasing with depth can be modeled as multi-layer soils with step-wise increasing stiffness. The effects of different parameters such as the stiffness of the soil, the axial and bending stiffness of the pile, and the radius of the cylindrical contact area will be analysed for the different components of excitation (vertical, horizontal, rotation and coupling). The results can be determined as specific power laws which are different for the different load cases and for the different soil models (Winkler support, homogeneous continuum, continuum with increasing stiffness). The dynamic effect of radiation damping will be analysed by the frequency-dependent compliance functions. A clear layering of the soil can cause noticeable changes in the dynamic compliances as reductions of the stiffness and the damping in certain frequency ranges (below and around layer resonance frequencies). The distribution of the displacements along the pile help to explain the observed laws. An example of an offshore wind energy tower has been modeled and calculated for wind, wave and weight loads. The resonances of the tower are usually limited by the radiation damping which is strongest for a soft soil. T2 - COMPDYN 2017 CY - Rhodes, Greece DA - 15.06.2017 KW - Pile foundation KW - Finite-element boundary-element method KW - Pile bending stiffness KW - Soil stiffness KW - Continuously inhomogeneous soils KW - Layered soils KW - Wind energy tower PY - 2017 SP - 4675 EP - 4690 PB - NTUA CY - Athens AN - OPUS4-42089 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Auersch, Lutz T1 - Static and dynamic behaviour of pile foundations in homogeneous and inhomogeneous soils N2 - Offshore wind energy towers are dynamically loaded by waves and wind. Pile foundations provide stiffness and damping and should be properly calculated. A combined finite-element boundary-element method for the dynamic interaction of flexible structures and the soil has been developed. The flexible structures such as single piles or complete wind energy towers are modeled by the finite element method whereas the homogeneous or layered soil is modeled by the boundary element method which uses the Green’s functions for interior loads in the layered half-space to establish the dynamic stiffness matrix of the soil. Soils with a stiffness that is continuously increasing with depth can be modeled as multi-layer soils with step-wise increasing stiffness. The effects of different parameters such as the stiffness of the soil, the axial and bending stiffness of the pile, and the radius of the cylindrical contact area will be analysed for the different components of excitation (vertical, horizontal, rotation and coupling). The results can be determined as specific power laws which are different for the different load cases and for the different soil models (Winkler support, homogeneous continuum, continuum with increasing stiffness). The dynamic effect of radiation damping will be analysed by the frequency-dependent compliance functions. A clear layering of the soil can cause noticeable changes in the dynamic compliances as reductions of the stiffness and the damping in certain frequency ranges (below and around layer resonance frequencies). The distribution of the displacements along the pile help to explain the observed laws. An example of an offshore wind energy tower has been modeled and calculated for wind, wave and weight loads. The resonances of the tower are usually limited by the radiation damping which is strongest for a soft soil. T2 - Compdyn 2017 CY - Rhodes, Greece DA - 15.06.2017 KW - Pile foundation KW - Finite-element boundary-element method KW - Pile bending stiffness KW - Soil stiffness KW - Continuously inhomogeneous soils KW - Layered soils KW - Wind energy tower PY - 2017 AN - OPUS4-42486 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - GEN A1 - Auersch, Lutz T1 - Static and dynamic soil-structure interaction of finite and infinite beams and plates, tracks and piles T2 - 7th European Conference on Structural Dynamics, EURODYN 2008 CY - Southampton, UK DA - 2008-07-07 KW - Soil-structure interaction KW - Wave-number integrals KW - Finite-element boundary-element method KW - Moving loads on tracks KW - Pile-soil interaction PY - 2008 SN - 9780854328826 IS - E 102 SP - 1 EP - 12 AN - OPUS4-18236 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Auersch, Lutz ED - M. Papadrakakis, ED - D.C. Charmpis, ED - N.D. Lagaros, ED - Tsompanakis, Y. T1 - Simple and advanced boundary-element method for the soil and its application to railway dynamics T2 - COMPDYN 2007 CY - Rethymno, Crete, Greece DA - 2007-06-13 KW - Finite-element boundary-element method KW - Explicit Green´s functions KW - Track vibration KW - Tunnel vibration KW - Vehicle-track-soil interaction KW - Radiation damping PY - 2007 SP - 1 EP - 12 CY - Athen AN - OPUS4-15015 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Auersch, Lutz ED - Náprstek, J. ED - Horácek, J. ED - Okrouhlík, M. ED - Marvalová, B. ED - Verhulst, F. ED - Sawicki, J.T. T1 - Reducing ground-borne micro-vibrations by plate foundations T2 - Vibration problems ICOVP 2011 - 10th international conference on vibration problems CY - Prague, Czech Republic DA - 2011-09-05 KW - Plate-soil interaction KW - Wave excitation KW - Vibration reduction KW - Finite-element boundary-element method PY - 2011 SN - 978-94-007-2068-8 SN - 0930-8989 N1 - Serientitel: Springer proceedings in physics – Series title: Springer proceedings in physics VL - 139 SP - 329 EP - 335 PB - Springer AN - OPUS4-24804 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Response to harmonic wave excitation of finite or infinite elastic plates on a homogeneous or layered half-space N2 - The soil–structure interaction of elastic plates on homogeneous or layered soils excited by horizontally propagating waves is analysed. Large plates are modelled by a combined finite-element boundary-element method (FEBEM), whereas the response of infinitely long plates is calculated by a numerical integration in the frequency–wavenumber domain. The finite-element boundary-element method yields the complete soil–plate transfer function of frequency and distance whereas the frequency–wavenumber solution of the infinitely long plate can serve as an approximation for long distances on a finitely long plate. The soil–plate transfer function starts to decrease strongly at the coincidence frequency, where the bending stiffness equals the plate inertia. A strong decrease follows at mid frequencies and a strong reduction of less than 0.1 of the ground vibration is reached at high frequencies. Rules for the characteristic frequencies are derived from the numerical results clearly indicating the strongest influence of the soil stiffness and the weaker influence of the bending stiffness of the plate. The influence of the mass, length and width of the plate are shown to be limited in case of realistic parameters, but it should be noted that the reduction effects are less effective for layered soils and for nearer observation points. KW - Plate-soil interaction KW - Wave excitation KW - Flexible plate KW - Layered soil KW - Vibration reduction KW - Finite-element boundary-element method KW - Frequency-wavenumber method PY - 2013 DO - https://doi.org/10.1016/j.compgeo.2013.02.001 SN - 0266-352x VL - 51 SP - 50 EP - 59 PB - Elsevier Appl. Sci. Publ. CY - Barking AN - OPUS4-27983 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Auersch, Lutz ED - Papadrakakis, M. ED - Papadopoulos, V. ED - Plevris, V. T1 - How to quantify the vibration reduction of railway tracks N2 - Railway tracks, which reduce the ground vibration, are necessary if the trains are passing near to building. Today the reduction effect of railway tracks is often determined by the complex (time domain) simulation of the passage of a complete train. This method of evaluating the reduction is very time consuming and the results include some arbitrary scatter. It is worth to look for simpler methods which yield clearer results in shorter time. This contribution presents the combined finite-element boundary-element method as a detailed method for the track-soil interaction and, on the other hand, some possible simplifications. One important idea for the reduction assessment is to split the reduction in a vehicle-track interaction part and a track transfer part. The track transfer is not influenced by the vehicle and by single axle loads and it can be calculated as a homogeneous problem along the track. The reduction of some tracks (for example of floating slab tracks) can be dominated by this track transfer function whereas other tracks (for example tracks with soft rail pads) are completely determined by the vehicle-track-interaction part. The different force transfer functions and the ground vibration ratios of tracks with elastic rail pads or elastic sleeper pads are shown as a result of the FEBEM model under a fixed harmonic axle load. The force transfer proves to be a useful quantity for to assess the vibration reduction of railway tracks. T2 - COMPDYN 2013 - 4th ECCOMAS Thematic conference on computational methods in structural dynamics and earthquake engineering CY - Kos Island, Greece DA - 2013-06-12 KW - Railway induced ground vibration KW - Mitigation measures KW - Railway tracks KW - Finite-element boundary-element method KW - Wavenumber integrals KW - 1-D insertion loss PY - 2013 SP - 1 EP - 19 AN - OPUS4-29313 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - RPRT A1 - Auersch, Lutz T1 - Mitigation measures for ballasted tracks - sleepers, sleeper pads and substructure - Results from the finite element boundary element method N2 - The ground vibrations, which are generated by trains on different tracks, have been calculated by finite-element boundary-element models. The ballasted track is modelled in detail by the finite element method. The infinite soil is modelled by the boundary element method as a homogeneous or layered half-space. The track-soil system is coupled with a simple rigid mass model of the vehicle so that the vehicle-track interaction is completely included. Transfer functions are calculated in frequency domain without and with vehicle-track interaction, the compliance of the track and the mobilities of the soil at different distances from the track. Finally, the ratios between the ground vibration amplitudes with and without mitigation measure are calculated to quantify the effectiveness of the mitigation measure. Tracks with under sleeper pads have been investigated in a wide parameter study. The main parameters that influence the reduction of ground vibration are the stiffness of the under sleeper pad, the mass and the width of the sleeper. The softest sleeper pad yields the best reduction of the ground vibration. The influence of the sleeper mass is not as strong as the characteristic frequency is ruled by the mass of the sleeper and the mass of the wheelset as well. The influence of other parameters has been examined. The stiffness of the rail pads, the bending stiffness of the track, the stiffness of the ballast, the sub-soil, and the soil, and the layering of the soil. All these parameters show no or only a minor influence on the mitigation effect. As the standard isolated track, a track with an under sleeper pad of a stiffness of kS = 5 107 N/m has been chosen, which can also be expressed as a stiffness per area of kS ’’ = 7.4 107 N/m3 = 0.074 N/mm3. The resonance frequency for this pad stiffness is observed between 32 and 40 Hz. The reduction of the ground vibration is about vi,I /vi,U = 0.2 and 0.1 at 100 Hz. The reduction can be improved by softer sleeper pads. But the compliance of the track gets higher than tolerable. A possibility to use softer sleeper pads without increasing the static compliance of the track is their combination with wide sleepers. The softer sleeper pads under wider sleepers yield the same compliance of the track and a better reduction of the ground vibration. KW - Heavy sleeper KW - Under sleeper pad KW - Finite-element boundary-element method KW - Mitigation KW - Ground vibration KW - Ballasted track PY - 2011 SP - 1 EP - 81 PB - Bundesanstalt für Materialforschung und -prüfung (BAM) CY - Berlin AN - OPUS4-56607 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Auersch, Lutz A1 - Song, Jiaojiao T1 - Analysis of intact and damaged (floating) slab tracks by finite-element boundary-element models and by measurements N2 - The damage detection and repair control have become important tasks for slab tracks. Different intact and damaged slab tracks have been investigated theoretically and experimentally for train passages and hammer impacts. The following damages have been considered: The loss of contact between the sleeper and the track slab, between the track slab and the base slab, and between the base slab and the base layer. At first, a slab track with a gap between the track slab and the base layer has been calculated by the combined finite-element boundary-element method which correctly incorporates the behaviour of the infinite soil. The basic results are the track displacements of the rail, the track slab, and the base layer along the track which are caused by a single axle load. These solutions are properly superposed for to get the complete train load. The influence of track and soil parameters and of the track damage has been analysed. For the intact track, the compliance of the soil is dominant whereas the track bending stiffness becomes more important for the damaged track. By comparing the calculated results with the measurements, the length of the gap could be quantified. A slab track with a loose sleeper (without contact to the supporting track slab) was analysed by the transfer function between the displacements and the hammer force (receptance functions) where a resonance appeared in case of the damage. Differences between the different track elements confirmed the detection of the damage. A floating slab track with a thin rubber layer has been investigated for a possible gap between the base slab and the base layer. The behaviour of the intact track has been calculated by a wavenumber-domain method, and the same behaviour has been found in the measurements at several track sections, indicating that there is no damage. Finally, a floating slab track with steel springs and viscous fluid dampers has been measured in the Tongji laboratory. The modes of the floating track slab and the transfer function with corresponding resonances have been calculated and successfully compared with results from wheelset drop tests. T2 - 3rd International Conference of Rail Transportation CY - Shanghai, China DA - 07.08.2024 KW - Slab tracks KW - Damage KW - Vibration measurements KW - Finite-element boundary-element method PY - 2024 AN - OPUS4-61227 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Compliance and damping of piles for wind tower foundation in nonhomogeneous soils by the finite-element boundary-element method N2 - A combined finite-element boundary-element method for the dynamic interaction of the soil with flexible structures such as single piles or complete wind energy towers has been developed. Flexible piles in different soils are analysed in frequency domain. The different parameters such as the stiffness of the soil, the bending stiffness and the radius of the hollow pile are analysed for their influence on the complex compliances. The results have been determined as specific power laws which are different for the different load cases (horizontal, rocking, coupling) and for the different soil models (Winkler, continuum with constant, root-parabolic and proportional-linear stiffness variation). The strongest influence of the soil stiffness can be found for the homogeneous soil and the horizontal component. Winkler soils have a weaker influence than the corresponding continuous soils. An offshore wind energy tower has been modeled and calculated for wind and wave loads. KW - Pile foundation KW - Finite-element boundary-element method KW - Pile bending stiffness KW - Soil stiffness KW - Continuously inhomogeneous soils KW - Layered soils KW - Wind energy tower PY - 2019 DO - https://doi.org/10.1016/j.soildyn.2018.12.005 SN - 0267-7261 VL - 120 IS - 5 SP - 228 EP - 244 PB - Elsevier CY - London AN - OPUS4-47891 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -