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 - 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 - TY - JOUR A1 - Auersch, Lutz T1 - Theoretical and experimental excitation force spectra for railway-induced ground vibration: vehicle-track-soil interaction, irregularities and soil measurements N2 - Excitation force spectra are necessary for a realistic prediction of railway-induced ground vibration. The excitation forces cause the ground vibration and they are themselves a result of irregularities passed by the train. The methods of the related analyses - the wavenumber integration for the wave propagation in homogeneous or layered soils, the combined finite-element boundary-element method for the vehicle-track-soil interaction - have already been presented and are the base for the advanced topic of this contribution. This contribution determines excitation force spectra of railway traffic by two completely different methods. The forward analysis starts with vehicle, track and soil irregularities, which are taken from literature and axle-box measurements, calculates the vehicle-track interaction and gets theoretical force spectra as the result. The second method is a backward analysis from the measured ground vibration of railway traffic. A calculated or measured transfer function of the soil is used to determine the excitation force spectrum of the train. A number of measurements of different soils and different trains with different speeds are analysed in that way. Forward and backward analysis yield the same approximate force spectra with values around 1 kN for each axle and third of octave. KW - Railway forces KW - Vehicle-track interaction KW - Irregularities KW - Rail roughness KW - Track alignment KW - Wheel out-of-roundness KW - Ground vibration KW - Soil transfer function PY - 2010 U6 - https://doi.org/10.1080/00423110802691515 SN - 0042-3114 VL - 48 IS - 2 SP - 235 EP - 261 PB - Taylor & Francis CY - Basingstoke, Hants. AN - OPUS4-22361 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Technically induced surface wave fields, Part I: Measured attenuation and theoretical amplitude-distance laws N2 - The attenuation of the amplitudes with distance of technically induced surface wave fields is analyzed in theory and experiments. Experimental results of technically induced ground vibration are presented and collected from literature, which show a power-low attenuation A ~ r–q of amplitudes A with distance r and exponents q > 0.5 higher than for elastic surface waves. Additional attenuation effects are analyzed theoretically. The most important effect is due to the material or scattering damping. Each frequency component is attenuated exponentially as A ~ exp(–kr), but for a broadband excitation, the sum of the exponential laws yields a power law with a higher exponent. Some more effects are discussed, for example the dispersion of the Rayleigh wave due to the layering of the soil, which yields a stronger attenuation A ~ r–q–dq, including an additional exponent of dq = 0.5 in case of an impulsive loading. PY - 2010 U6 - https://doi.org/10.1785/0120090228 SN - 0037-1106 SN - 1943-3573 VL - 100 IS - 4 SP - 1528 EP - 1539 PB - Seismological Society of America CY - El Cerito, Calif. AN - OPUS4-22405 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz A1 - Said, Samir T1 - Attenuation of ground vibrations due to different technical sources N2 - The attenuation of technically induced surface waves is studied theoretically and experimentally. In this paper, nineteen measurements of ground vibrations induced by eight different technical sources including road and rail traffic, vibratory and impulsive construction work or pile driving, explosions, hammer impulses and mass drops are described, and it is shown that the technically induced ground vibrations exhibit a power-law attenuation ν ~ r -q where the exponents q are in the range of 0.5 to 2.0 and depend on the source types. Comparisons performed demonstrate that the measured exponents are considerably higher than theoretically expected. Some potential effects on ground vibration attenuation are theoretically analyzed. The most important effect is due to the material or scattering damping. Each frequency component is attenuated exponentially as exp(-kr), but for a broad-band excitation, the sum of the exponential laws also yields a power law but with a high exponent. Additional effects are discussed, for example the dispersion of the Rayleigh wave due to soil layering, which yields an additional exponent of 0.5 in cases of impulsive loading. KW - Wave attenuation KW - Environmental vibrations KW - Field tests KW - Material damping KW - Scattering damping KW - Rayleigh wave PY - 2010 U6 - https://doi.org/10.1007/s11803-010-0018-0 SN - 1671-3664 VL - 9 IS - 3 SP - 337 EP - 344 PB - Science Press CY - Beijing, China AN - OPUS4-22124 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Building response due to ground vibration - simple prediction model based on experience with detailed models and measurements N2 - Construction work, such as pile driving and soil compaction, or road and railway traffic excite nearby buildings, and the perceptible or audible vibration can be a nuisance for nearby inhabitants. A simplified building model has been created for these situations, which includes the effects of soil-structure interaction, the low-frequency amplification along the height of the building as well as the high-frequency reduction and the floor resonances. The model consists of one wall for all supporting structures (walls and columns) and one floor for each storey. The effect of different floor resonance frequencies is included in a stochastic procedure. The soil is modelled by a spring and a viscous damper, and the free-field amplitudes of the soil are applied under this soil element. The model can be calculated by transfer matrices or in a continuous wave-type version where an analytical solution can be evaluated numerically. The building response in the high-frequency (acoustic) region is calculated as mean values over wider frequency bands. The approach to an infinite building model can be found for these high frequencies and the corresponding soil-structure transfer can be described by the ratio of impedances at foundation level. The rules for choosing the parameters to obtain realistic results are derived from complex calculations for example, for the stiffness and damping of building foundations and many measurements as for the damping of floor resonances. The influences on the floor resonance from the soil (damping) and the supporting structure (detuning) are important. Some more effects will be discussed by the simplified and detailed models and by measurements to establish a good understanding of ground-induced building vibrations. PY - 2010 SN - 1027-5851 VL - 15 IS - 3 SP - 101 EP - 112 CY - St. Petersburg, Russia AN - OPUS4-22014 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Auersch, Lutz T1 - Dynamic behavior of slab tracks on homogeneous and layered soils and the reduction of ground vibration by floating slab tracks N2 - The dynamics of slab tracks and floating slab tracks are analyzed by multibeam models for the track and by integration in the wave-number domain for the soil, which is modeled as a layered half-space. Frequency-dependent compliances and force transfers are calculated for a great variety of track and soil parameters. The distribution of the load and the displacements along the track is investigated as well as the wave propagation perpendicular to the track and the ground vibration amplitudes. The floating slab track has a dominating plate-mat resonance and a strong high-frequency reduction. A track-soil resonance can also be recognized for an unisolated slab track in the case of layered soils. Generally, there is a strong damping of the track by the soil. The reduction effect of the slab mat is mainly owing to the elimination of this strong damping. The continuous soil yields slightly different rules for the displacements and force densities than those of a Winkler support. The total force transfer from the rail to the soil is the best criterion to judge the effectiveness of a floating slab track in reducing the ground vibration at some distance from the railway line. The total force transfer is easier to calculate than the double Fourier integrals of the ground vibration amplitudes, namely in the far field, and it has the best correlation with the reduction of the ground vibration. KW - Railway track KW - Slab track KW - Floating slab track KW - Track-soil interaction KW - Track vibration KW - Ground vibration KW - Force transfer PY - 2012 U6 - https://doi.org/10.1061/(ASCE)EM.1943-7889.0000407 SN - 0733-9399 SN - 1943-7889 VL - 138 IS - 8 SP - 923 EP - 933 PB - Soc. CY - New York, NY, USA AN - OPUS4-26860 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -