TY - JOUR A1 - Auersch, Lutz T1 - Dynamic axle loads on tracks with and without ballast mats - numerical results of three-dimensional vehicle-track-soil models N2 - Ballast mats are an efficient measure to reduce the vibrations near railway lines. The vehicle-track system gets a low eigenfrequency due to the insertion of an elastic ballast mat under the ballast. For frequencies higher than this low vehicle-track eigenfrequency, the forces, which are generating the vibration of the soil, are considerably reduced. In this contribution, a combined finite-element boundary-matrix method is used to calculate a number of completely three-dimensional track models with and without ballast mats. The influence of the important parameters such as the stiffness of the ballast mat, the unsprung vehicle mass, the mass of the track, and the stiffness of the subsoil is investigated. The numerical results are presented as the transfer functions of the total force that is acting on the soil and generating the vibration of the environment. The effectiveness of ballast mats is achieved by division of two of these force functions. The general tendencies for this insertion loss are discussed and a comparison with measurements is given. To come to an improved practical tool for the design of ballast-mat tracks, the finite-element method results are approximated by a simple two-dimensional model of which the solution is given explicitly. KW - Railway track KW - Track dynamic KW - Ballast mat KW - Vibration isolation KW - Insertion loss KW - Finite-element method KW - Track-soil interaction KW - Vehicle-track interaction PY - 2006 U6 - https://doi.org/10.1243/09544097F00105 SN - 0954-4097 VL - 220 IS - 2 SP - 169 EP - 183 PB - Institution of Mechanical Engineers CY - London AN - OPUS4-13723 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Wellenausbreitung durch eine Bodenschicht PY - 1981 SN - 0005-6820 SN - 1437-0999 SN - 0341-1052 SN - 0932-6359 SN - 0932-8351 VL - 58 IS - 7 SP - 229 EP - 236 PB - Ernst CY - Berlin AN - OPUS4-11417 LA - deu 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 U6 - 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 - JOUR A1 - Auersch, Lutz T1 - Zur Parametererregung des Rad-Schiene-Systems: Berechnung der Fahrzeug-Fahrweg-Untergrund-Dynamik und experimentelle Verifikation am Hochgeschwindigkeitszug Intercity Experimental N2 - Die diskrete Stützung der Schiene auf Schwellen in regelmäßigem Abstand ergibt für den fahrenden Zug eine Parametererregung. Die Berechnung der parametererregten Schwingungen und der zugehörigen dynamischen Radlasten erfordert die Analyse des Gesamtsystems Fahrzeug-Fahrweg-Untergrund. Es wird eine Substrukturmethode vorgestellt, bei der Fahrzeug, Fahrweg und Untergrund jeweils mit geeigneten Methoden (Mehrkörperdynamik, Finite Elemente, Randelemente) berechnet werden. Das Verfahren wird auf eine Situation angewandt, die auch mehrfach experimentell untersucht wurde, die Hochgeschwindigkeitsversuchsfahrten des Intercity Experimental (ICE) auf der Neubaustrecke bei Würzburg. Es werden die Ergebnisse der Teilsysteme und des Gesamtsystems und schließlich die dynamische Radlast für verschiedene Fahrgeschwindigkeiten dargestellt. Die dynamische Radlast nimmt bei Steigerung der Fahrgeschwindigkeit bis 200 km/h zu, bleibt bei höheren Fahrgeschwindigkeiten jedoch ungefähr konstant. Eine ähnliche Tendenz wird bei den Erschütterungen in der Umgebung bemerkt. Mit den berechneten Radlasten werden die ICE-Vorbeifahrten sehr detailliert simuliert und die berechneten Erschütterungen mit den gemessenen verglichen. Es zeigt sich eine gute Übereinstimmung, so daß der wichtige Fahrgeschwindigkeitseffekt als theoretisch und experimentell abgesichert angesehen werden kann. N2 - The discrete support of the rail on regularly spaced sleepers leads to a parametric excitation of the running train. To calculate the resulting vibrations and the additional dynamic loads the complete vehicle-track-subsoil system must be considered. A substructure method using appropriate methods for each subsystem (rigid bodies, finite elements, boundary elements) is presented and applied to a situation which was measured three times during highspeed test runs of the Intercity Experimental (ICE) near Würzburg. The results of the subsystems are shown and the coupling leads finally to the dynamic loads moving on the track. These loads increase with speed up to 200 km/h but remain nearly constant at higher speeds. A similar tendency was found in the measured vibrations near the track. To compare theory and experiment the calculated moving loads were used to simulate the environmental vibrations of the ICE test runs showing a good agreement. T2 - Parametric-excitation of rail-wheel-system - calculation of vehicle-track-subsoil-dynamics and experimental results of the high-speed train intercity experimental PY - 1990 U6 - https://doi.org/10.1007/BF00539584 SN - 0020-1154 VL - 60 IS - 3 SP - 141 EP - 156 PB - Springer CY - Berlin AN - OPUS4-11561 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Vehicle-track-interaction and soil dynamics T2 - 15th IAVSD Symposium Dynamics of Vehicles on Roads and Tracks CY - Budapest, Hungary DA - 1997-08-25 PY - 1998 SN - 0042-3114 VL - 29 SP - 553 EP - 558, Supplement PB - Taylor & Francis CY - Basingstoke, Hants. AN - OPUS4-11585 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Dynamics of the railway track and the underlying soil: the boundary-element solution, theoretical results and their experimental verification PY - 2005 SN - 0042-3114 VL - 43 IS - 9 SP - 671 EP - 695 PB - Taylor & Francis CY - Basingstoke, Hants. AN - OPUS4-11575 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Dynamic plate-soil interaction - finite and infinite, flexible and rigid plates on homogeneous, layered or Winkler soil N2 - An integral method to calculate the solution of a homogeneous or layered soil due to a harmonic point load is described. An infinite plate at the surface of the soil can be introduced in this integration in wavenumber domain, too. Finite structures on the soil are calculated by a combined finite element and boundary element method, which makes use of the point load solution of the soil. The compliance functions for a vertical point load and some vibration modes are calculated for realistic parameters of the plate and the soil and for a wide range of frequencies. The influence of the stiffness of the soil and the foundation is investigated, showing that the soil mainly affects the low-frequent response whereas the structural properties are more important at higher frequencies. A rigid approximation of flexible plates is only found at low frequencies, if the elastic length is used as the radius of a rigid disk. At higher frequencies, a characteristic behaviour of the flexible plate of approximately is observed, what is in clear contrast to the compliance of rigid foundations. A plate on a visco-elastic support (Winkler soil) shows similar displacements as a plate on a homogeneous half-space, but the maximal stresses between the plate and the soil are considerably smaller which is found to be more realistic for a plate on a layered soil. For practical applications, a normalized diagram and some explicit formulas of the exact and the approximate solutions of an infinite plate on a homogeneous half-space are given, which is a useful model to represent the soil-structure interaction of flexible foundations. PY - 1996 U6 - https://doi.org/10.1016/0267-7261(95)00021-6 SN - 0261-7277 SN - 0267-7261 VL - 15 IS - 1 SP - 51 EP - 59 PB - Elsevier Science CY - Amsterdam AN - OPUS4-11580 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Wave propagation in layered soils: theoretical solution in wavenumber domain and experimental results of hammer and railway traffic excitation PY - 1994 SN - 0022-460X SN - 1095-8568 VL - 173 IS - 2 SP - 233 EP - 264 PB - Academic Press CY - London AN - OPUS4-11570 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Zur Dynamik einer unendlichen Platte auf dem Halbraum - Fundamentnachgiebigkeit und Wellenfeld bei harmonischer Punktlast PY - 1994 SN - 0939-1533 SN - 0020-1154 VL - 64 SP - 346 EP - 356 PB - Springer CY - Berlin AN - OPUS4-11571 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - The excitation of ground vibration by rail traffic: theory of vehicle-track-soil interaction and measurements on high-speed lines N2 - This article presents an integrated model for the computation of vehicle–track interaction and the ground vibrations of passing trains. A combined finite element and boundary element method is used to calculate the dynamic compliance of the track on realistic soil whereas multi-body models are used for the vehicle. The dynamic stiffness of the vehicle and that of the track are combined to calculate the dynamic axle loads due to the irregularities of the vehicle and the track as well as those due to sleeper passing excitation. These loads serve as input for the calculation of ground vibration near railway lines in the time and frequency domains. The theoretical methods and results have been proven by experiments in several respects and at several instances. First, on the occasion of the test and record runs of the Intercity Experimental, there was a very good quality of the vehicle and of the newly built track so that the deterministic parts of the excitation—the static load and the sleeper-passing component—could clearly be identified, the first being of minor importance apart from the track. Second, simultaneous measurements of the vehicle, the track and the soil at three different track situations were performed where we could verify the different parts of the stochastic excitation and their importance for the ground vibrations. The irregularities of the vehicle are dominant at high frequencies whereas the irregularities of the track are more important at lower frequencies. The comparison of the theory and the measurements also points to the phenomena of the vehicle–track resonance and the scattering of the quasi-static axle impulses by randomly varying soil. PY - 2005 U6 - https://doi.org/10.1016/j.jsv.2004.06.017 SN - 0022-460X SN - 1095-8568 VL - 284 IS - 1-2 SP - 103 EP - 132 PB - Academic Press CY - London AN - OPUS4-11510 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Diskrete Laplace-Transformation. Ein zweckmäßiges Rechenverfahren für schwachgedämpfte Schwingungssysteme bei nichtperiodischer Erregung PY - 1982 SN - 0044-2267 SN - 0946-8463 VL - 62 SP - 171 EP - 181 PB - Wiley-VCH CY - Potsdam AN - OPUS4-11488 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Neue Aufgaben beim Erschütterungsschutz PY - 1984 SN - 0722-8562 SN - 0041-6347 VL - 84 IS - 2 SP - 38 EP - 39 PB - Umschau Verl. Breidenstein CY - Frankfurt, M. AN - OPUS4-11498 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Berechnung des Schwingungsverhaltens von Gebäuden bei Einwirkung von Erschütterungen PY - 1984 SN - 0005-6650 SN - 1436-4867 VL - 59 SP - 309 EP - 317 PB - Springer-VDI-Verl. CY - Düsseldorf AN - OPUS4-11501 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Dynamic stiffness of foundations on inhomogeneous soils for a realistic prediction of vertical building resonance N2 - The aim of this contribution is a practice-oriented prediction of environmental building vibrations. A Green's functions method for layered soils is used to build the dynamic stiffness matrix of the soil area that is covered by the foundation. A simple building model is proposed by adding a building mass to the dynamic stiffness of the soil. The vertical soil-building transfer functions with building-soil resonances are calculated and compared with a number of measurements of technically induced vibrations of residential buildings. In a parametrical study, realistic foundation geometries are modeled and the influence of incompressible soil, deep stiff soil layering, soft top layers, and increasing soil stiffness with depth is analyzed. All these special soil models reduce the resonant frequency compared to a standard homogeneous soil. A physically motivated model of a naturally sedimented soil has a stiffness increasing with the square root of the depth and yields a foundation stiffness that decreases with foundation area considerably stronger than the relatively insensitive homogeneous soil. This soil model is suited for the Berlin measuring sites and reproduces satisfactorily the experimental results. KW - Stiffness KW - Foundations KW - Predictions KW - Resonance KW - Vibration PY - 2008 U6 - https://doi.org/10.1061/(ASCE)1090-0241(2008)134:3(328) SN - 1090-0241 SN - 1943-5606 VL - 134 IS - 3 SP - 328 EP - 340 PB - American Society of Civil Engineers CY - Reston, Va. AN - OPUS4-17394 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - The effect of critically moving loads on the vibrations of soft soils and isolated railway tracks N2 - The dynamic response of the railway track is strongly influenced by the underlying soil. For a soft soil and very high train speeds or for a very soft soil and regular train speeds, the train speed can be close to the speed of elastic waves in the soil. This paper presents a detailed study of the so-called “moving-load effect”, i.e. an amplification of the dynamic response due to the load movement, for the tracks on soft soil. The analysis is carried out by evaluating the related integrals in the wavenumber domain. The influence of the load speed is quantified for a large set of parameters, showing that the effect on the soil vibration is reduced with increase of the frequency, track width and inverse wave velocity. Therefore, the moving-load effect associated with vibratory train loads is negligible whereas the amplification associated with the moving dead weight of the train can be significant. The strong moving-load effect on a perfectly homogeneous soil, however, can be strongly diminished by a layered or randomly varying soil situation. This theoretical result is affirmed by measurements at a test site in Germany where the trains run on a very soft soil at a near-critical speed. The results for soft soils are compared with experimental and theoretical results for a stiff soil. It is found that the influence of the stiffness of the soil is much stronger than the moving-load effect. This holds for the soil vibration as well as for the track vibration which both show a minor dependence on the load speed but a considerable dependence on the soil stiffness in theory and experiment. Railway tracks can include soft isolation elements such as rail pads, sleeper shoes and ballast mats. For these types of isolation elements and normal soil conditions, the influence of the load speed is usually negligible. There is only one isolation measure for which the moving load may be effective: a track which is constructed as a heavy mass–spring system. The resonance of this track system is shifted to lower frequencies and amplitudes for increasing train speed. A critical train speed can be reached if the mass–spring system has a marginal bending stiffness along the track. PY - 2008 U6 - https://doi.org/10.1016/j.jsv.2007.10.013 SN - 0022-460X SN - 1095-8568 VL - 310 IS - 3 SP - 587 EP - 607 PB - Academic Press CY - London AN - OPUS4-17395 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Schottergleis und Feste Fahrbahn N2 - Seit 30 Jahren betreibt die Bundesanstalt für Materialprüfung intensive Forschung auf dem Gebiet der Eisenbahndynamik unter Einbeziehung aller Systemkomponenten. Das umfasst theoretisch/numerische Arbeiten, Feldmessungen und Laborversuche zu Fragen wie die Erschütterungs- und Körperschallweiterleitung durch den natürlichen Boden, das Schwingungsverhalten der verschiedenen Fahrwege auf dem Untergrund, die dynamischen Kräfte aus der Wechselwirkung zwischen dem Fahrzeug und dem Fahrweg sowie die Gleislageentwicklung unter dieser Belastung bei verschiedenen Fahrwegen. Es werden Ergebnisse zu den dynamischen Kräften bei Geschwindigkeiten von 40 bis 300 km/h [1] und zum Vergleich der Festen Fahrbahn mit dem Schottergleis [2] vorgestellt. PY - 2006 SN - 0013-2810 VL - 57 IS - 4 SP - 8 EP - 18 PB - Eurailpress Tetzlaff-Hestra CY - Hamburg AN - OPUS4-14047 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Ground vibration due to railway traffic - The calculation of the effects of moving static loads and their experimental verification N2 - The propagation of waves through homogeneous or layered soil is calculated based on half-space theory. The moving dynamic loads of a train are approximated by fixed dynamic loads and the wave field can be calculated if the spectrum of the dynamic train loads is known. In addition to this dynamic wave field, there are three different components at three different frequency ranges which are caused by the passage of the static loads: • the regular static component at low frequencies, • the irregular static component at medium frequencies, • the sleeper-passing component at high frequencies. For each of these components, an approximate solution is presented. The calculated wave field is compared with measurements of different trains at different sites. The measurement of impulse and harmonic point load excitation verifies the soil dynamic base of the method. PY - 2006 U6 - https://doi.org/10.1016/j.jsv.2005.08.059 SN - 0022-460X SN - 1095-8568 VL - 293 IS - 3-5 SP - 599 EP - 610 PB - Academic Press CY - London AN - OPUS4-14049 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Dynamic interaction of various beams with the underlying soil - finite and infinite, half-space and Winkler models KW - Beam dynamics KW - Beam-soil interaction KW - Bending waves KW - Rayleigh wave KW - Railway track vibration KW - Elastic length KW - Wavenumber integrals PY - 2008 U6 - https://doi.org/10.1016/j.euromechsol.2008.02.001 SN - 0997-7538 SN - 1873-7285 VL - 27 IS - 5 SP - 933 EP - 958 PB - Elsevier CY - Paris AN - OPUS4-17867 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Wave propagation in the elastic half-space due to an interior load and its application to ground vibration problems and buildings on pile foundations N2 - A method is presented which allows to calculate the wave-field in a homogeneous or layered soil in case of a dynamic interior load. The wave propagation along the surface, the distribution of the response over the depth, the horizontal propagation at different depths and the vertical downward propagation are shown and compared with the simpler surface solution of the half-space and the interior solution of the full-space. The complete wave-field (Green's function) is applied to the dynamic behaviour of piles and pile groups by use of a boundary element formulation. The stiffness, damping and – typically for piles – mass of different groups of piles are presented. Different group effects occur for lines, circles, grids, parallels and crosses of piles, which can be regarded as oscillations around average values. Moreover, the piles and pile groups behave almost like a damper for most of the frequencies. A building on a pile group that is excited by ground vibration due to surface or interior loads shows a reduction of the wave-field due to kinematic and inertial soil–building interaction effects. The results presented lead to simplified descriptions of the wave-field due to interior loads and of the soil–pile–building interaction which can be used for the prediction of technically induced vibration. KW - Wave propagation KW - Interior load KW - Dynamic pile and pile group stiffness KW - Kinematic and inertial soil-pile-building KW - Interaction PY - 2010 U6 - https://doi.org/10.1016/j.soildyn.2010.04.003 SN - 0261-7277 SN - 0267-7261 VL - 30 IS - 10 SP - 925 EP - 936 PB - Elsevier Science CY - Amsterdam AN - OPUS4-21833 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Technically induced surface wave fields, Part II: Measured and calculated admittance spectra N2 - Transfer admittance spectra of technically induced surface wave fields are analyzed in theory and experiments. Theoretical admittance spectra of layered soils are obtained by integration in wavenumber domain and compared with experimental admittances due to hammer or vibrator excitation. The admittance spectra are strongly influenced by the layering and damping of the soil. Deep stiff-soil layers yield a low-frequency cutoff, whereas a strong damping yields a high-frequency cutoff. A sharp cutoff in a narrow frequency band, which is measured at some sites, can be explained by a damping that increases with frequency, such as viscous material or scattering damping. PY - 2010 U6 - https://doi.org/10.1785/0120090229 SN - 0037-1106 SN - 1943-3573 VL - 100 IS - 4 SP - 1540 EP - 1550 PB - Seismological Society of America CY - El Cerito, Calif. AN - OPUS4-22406 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -