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- Zeitschriftenartikel (52) (entfernen)
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- Ground vibration (12)
- Track-soil interaction (6)
- Layered soil (5)
- Railway track (5)
- Slab track (5)
- Train passage (5)
- Vehicle-track interaction (5)
- Force transfer (3)
- Hammer impact (3)
- Mitigation (3)
- Train-induced ground vibration (3)
- Wavenumber integrals (3)
- Axle sequence (2)
- Excitation forces (2)
- Field tests (2)
- Finite element method (2)
- Finite-element boundary-element method (2)
- Rail roughness (2)
- Railway (2)
- Rayleigh wave (2)
- Resonance (2)
- Static axle loads (2)
- Track vibration (2)
- Vehicle–track interaction (2)
- Amplitude-distance law (1)
- Attenuation (1)
- Axle box measurements (1)
- Axle impulses (1)
- Axle-load spectra (1)
- Ballast mat (1)
- Ballast track (1)
- Base isolation (1)
- Beam dynamics (1)
- Beam-soil interaction (1)
- Bending waves (1)
- Blasting charge (1)
- Boundary element (1)
- Boundary element method (1)
- Bridge (1)
- Bridge resonance (1)
- Bridge vibration (1)
- Building response (1)
- Cancellation (1)
- Combined finite-element boundary-element method (1)
- Compliance function (1)
- Components of excitation (1)
- Continuous soil (1)
- Continuously inhomogeneous soils (1)
- Drop height (1)
- Dynamic axle loads (1)
- Dynamic loads (1)
- Dynamic pile and pile group stiffness (1)
- Elastic length (1)
- Elastic track elements (1)
- Emission (1)
- Environmental vibrations (1)
- Experimental verification (1)
- Explosion (1)
- Fequency domain (1)
- Filter effect of the soil (1)
- Filter effects (1)
- Finite element (1)
- Finite-element method (1)
- Flexible car body (1)
- Flexible plate (1)
- Flexible wheelset (1)
- Floating slab track (1)
- Foundations (1)
- Frequency-wavenumber method (1)
- Geometric trackbed irregularities (1)
- Geometric vehicle and track irregularities (1)
- High-speed trains (1)
- Insertion loss (1)
- Interaction (1)
- Interior load (1)
- Irregular soil (1)
- Irregularities (1)
- Kinematic and inertial soil-pile-building (1)
- Layered soils (1)
- Mass drop (1)
- Material damping (1)
- Measured railway vibrations (1)
- Measurement campaigns (1)
- Measurements (1)
- Modal analysis (1)
- Monitoring (1)
- Moving load (1)
- Multi-beam model (1)
- Multi-beam track model (1)
- Multi-beam-on-support model (1)
- Obstacles (1)
- Parametric excitation (1)
- Pile bending stiffness (1)
- Pile foundation (1)
- Plate-soil interaction (1)
- Prediction (1)
- Predictions (1)
- Quasi-static response; (1)
- Rail pad (1)
- Railway bridge (1)
- Railway forces (1)
- Railway induced vibration (1)
- Railway measurement campaign (1)
- Railway track vibration (1)
- Random dynamics and vibrations (1)
- Random stiffness variation (1)
- Randomly heterogeneous soil (1)
- Reduction (1)
- Rigid vehicle model (1)
- Scattered axle impulses (1)
- Scattering (1)
- Scattering damping (1)
- Sleeper pad (1)
- Soil forces (1)
- Soil stiffness (1)
- Soil transfer function (1)
- Soil-building interaction (1)
- Stiffness (1)
- Stiffness variation (1)
- Target stiffness (1)
- Track (1)
- Track alignment (1)
- Track and vehicle irregularities (1)
- Track damage (1)
- Track damage monitoring (1)
- Track damage quantification (1)
- Track deflection (1)
- Track deformation (1)
- Track displacements (1)
- Track dynamic (1)
- Track filter (1)
- Track filtering (1)
- Track-soil and vehicle-track resonances (1)
- Train induced ground vibration (1)
- Train speed (1)
- Train-induced vibration (1)
- Trench (1)
- Tunnel (1)
- Tunnel-to-surface reduction (1)
- Under-sleeper pads (1)
- Varying track stiffness (1)
- Vehicle-track-soil interaction (1)
- Vibration (1)
- Vibration isolation (1)
- Vibration reduction (1)
- Wave attenuation (1)
- Wave excitation (1)
- Wave propagation (1)
- Wavenumber domain (1)
- Wavenumber method (1)
- Wheel out-of-roundness (1)
- Wheelset (1)
- Wheelset accelerations (1)
- Wind energy tower (1)
- layered soil (1)
Organisationseinheit der BAM
- 7 Bauwerkssicherheit (16)
- 7.2 Ingenieurbau (16)
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.
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.
The dynamic behaviour of slab and ballast tracks has been investigated by measurements and calculations. Hammer impacts and train passages have been analysed. Measurements have been performed by geophones (velocity transducers) which have been time-integrated to displacements. The calculations are done in frequency-wavenumber domain for multi-beam-on-continuous soil models. The characteristics of the different tracks and track elements have been established in theory and experiment. The frequency-dependent compliances (displacement transfer functions) show clear rail-on-rail-pad resonances or highly damped track-soil resonances. Compared to the rail and sleeper, the track plate has much lower amplitudes. The slab track has usually the highest rail amplitudes due to soft rail pads. The train passage yields track displacements which are a superposition of the axle loads from the two neighbouring axles of a bogie and from the two bogies of two neighbouring carriages. This global behaviour is characteristic for the track plate of the slab track whereas the rails of the slab and the ballast track behave more local with only one bogie of influence. The measurements agree very well with the theory of the continuous soil in case of the six measured slab tracks and acceptably well for the six measured ballast tracks. The measurements allow to find appropriate model parameters and to check the models, for example the Winkler model of the soil has been found less appropriate as it reacts more locally.
Train passages induce forces on the track, train-induced vibrations propagate through the soil and excite neighbouring buildings. The emission, which is the first part of the prediction of vibrations near railway lines, is presented by focusing on the dynamic axle loads. The calculation of the axle loads is based on the vehicle-track-soil interaction. This interaction calculus utilises the dynamic stiffness of the vehicle (the inertia of the wheelset) and the dynamic stiffness of the track-soil system. Based on various time consuming finite-element boundary-element calculations, an approximate track-soil model has been established. The vehicle-track-soil analysis yields several transfer functions between the various geometric or stiffness irregularities and the axle loads of the train. Geometric irregularities of the vehicle (the wheels) and the track (rail surface and track alignment) are the simplest components. Geometric irregularities of the subsoil (trackbed irregularities) have to be transferred to effective irregularities at rail level. The bending stiffness of the track is filtering out the short-wavelength contribution. Stiffness irregularities occur due to random variations in the ballast or the subsoil, which must also be transferred to effective track irregularities, and due to the discrete rail support on sleepers. All necessary transfer functions for the prediction of axle-load spectra are presented as general formula and as specific graphs for differing vehicle and track parameters. The prediction method is applied to a ballast track and a slab track and compared with corresponding axle-box measurements. Moreover, ground vibration measurements at numerous sites are exploited for the axle-load spectra and the validation of the prediction method. All theoretical and experimental results confirm that the dynamic axle-load spectra have an approximate value of 1 kN per third of octave and increase with train speed, track stiffness and around the vehicle-track resonance.
Train-induced ground vibration can be excited by wheel and track irregularities and by two kinds of irregularities of the soil, by geometric irregularities or by the spatially varying soil stiffness. For both types of irregularities, the effective track irregularity on top of the track is calculated in wavenumber domain and with wavenumber integrals. For a general multi-beam track model, the wavenumber integrals are solved numerically. The irregularities of the soil are filtered by the track when transferred from the bottom to the top of the track. The high-wavenumber irregularities are strongly reduced due to the bending stiffness of the track and the compliance of the support. In addition, soft track elements reduce directly the stiffness variation of the support. Therefore, the mitigation effect of elastic track elements for these excitation components seems to be important. For under-sleeper pads and slab tracks, calculation and measurements are presented including additional excitation components and the dynamic vehicle–track interaction, and the relevance of the excitation mechanisms is discussed based on the dynamic forces which are acting on the ground. Due to the restricted amplitudes, the parametric excitation by the stiffness variation seems to be less important than the geometric irregularities. The calculations yield the correct trends of the measurements and many details of the measured ballast, slab, and under-sleeper-pad tracks.
The reduction of train-induced ground vibration by elastic elements such as rail pads and sleeper pads has been analyzed by a combined finite-element boundary-element method. The dynamic compliance of the track, the transfer function of the total force on the ground and the ground vibration ratios have been calculated for a variety of isolated and un-isolated track systems. It has been found that the soil force transfer, which describes the excitation force of the soil, is an appropriate quantity to predict the reduction of the ground vibration and the effectiveness of isolated tracks. All force transfer functions of isolated tracks display a vehicletrack resonance where the wheelset on the compliant track is excited by wheel and track irregularities. At higher frequencies, considerable reductions of the amplitudes are observed as the benefit of the resilient element. The influence of the stiffness of the rail or sleeper pads, the ballast and the soil, and the mass of the sleeper and the wheelset on the resonance frequency and the reduction has been investigated. Sleeper pads are advantageous due to the higher mass that is elastically supported compared to the rail-pad track system. The combination of elastic rail and sleeper pads has been found to be disadvantageous, as the second resonance occurs in the frequency range of intended reduction.
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.
The maintenance of the transport infrastructures and their further development are going to remain focal points for investment and research in Germany in future. According to the latest development forecasts made by both the federal government and Deutsche Bahn, even if rail´s percentage share of the market were to remain unchanged, growth of around 50% would be expected in the next ten years, especially in freight traffic. This growth is necessitating considerable development both in the technical design of the tracks and in the abatement of the noise and vibration caused by railway traffic.