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 - 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 - 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 A1 - Schmid, G. T1 - A simple boundary element formulation and its application to wavefield excited soil-structure interaction PY - 1990 SN - 0098-8847 SN - 1096-9845 SN - 0020-7160 VL - 19 SP - 931 EP - 947 PB - Wiley CY - London AN - OPUS4-11563 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 - Holzlöhner, Ulrich A1 - Auersch, Lutz T1 - Propagation of Shock Waves at the Surface of Heterogeneous Soil Grounds PY - 1984 SN - 0363-9061 SN - 1096-9853 VL - 8 IS - 1 SP - 57 EP - 70 PB - Wiley CY - London AN - OPUS4-11503 LA - eng 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 - 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 -