Coupled Itm-Fem Approach for the Assessment of the Mitigation Efficiency of Finite and Infinite Open Trenches and Soft Filled Barriers

Freisinger, Julian; Müller, Gerhard

doi:10.47964/1120.9232.19194

Cited by 2 publications

(4 citation statements)

References 17 publications

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“…Table 2. Material parameters for the soil and side walls [5]; evaluation of the wave velocities for the Timoshenko beam for f = 30 Hz and t/L = 0.10 Figure 5. Waves generated at a simple wall (left) and at an infilled trench (right) due to an incident Rayleigh wave [4] The gray area in figure 4 indicates the position of the wave barrier, described as an elastodynamic domain.…”

Section: Numerical Examples 41 Modeling Of a Simple Wall Coupled With...mentioning

confidence: 99%

“…The chosen reference solutions use a FEM mesh for the description of the infilled trench. This is then coupled with a BEM model [3], respectively an ITM approach [5] to model the far field of the halfspace. For the simulation of this problem with a WBM model, the Timoshenko beam is located at x = t/2, which corresponds to the right edge of the twodimensional infilled trench as depicted in figure 4.…”

Section: Numerical Examples 41 Modeling Of a Simple Wall Coupled With...mentioning

confidence: 99%

“…The computer-aided analysis of the design and effectiveness of open and infilled trenches are part of several publications. These deal for example with the application of the finite element method (FEM) [1,2], the boundary element method (BEM) [3,4] or an integral transformation approach (ITM) [5]. The (infilled) trench and its surrounding near field are usually discretized by a finite element mesh, which is coupled with the modeled far field of the halfspace.…”

Section: Introductionmentioning

confidence: 99%

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Implementation of a Timoshenko beam within an elastodynamic halfspace modeled by the Wave Based Method

Lainer,

Müller

2024

J. Phys.: Conf. Ser.

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The Wave Based Method (WBM) is an indirect Trefftz approach, which uses weighted wave functions to approximate the field response of a boundary value problem. These wave functions weakly fulfill the underlying differential equations and pass through a weighted residual approach by applying boundary conditions. This method has firstly been introduced for vibroacoustic problems to simulate excitations in the mid-frequency range. The accuracy of the WBM strongly depends on the relation between the geometrical size of a boundary value problem and the applied excitation frequency. This permits to transfer the WBM from vibroacoustic applications to soil halfspaces without significantly increasing the number of wave functions, and hence the number of unknown weighting values. Within this paper, a coupling approach between a Timoshenko beam and adjoining WBM domains is introduced as an efficient procedure for the simulation of a trench with two side walls. This trench is installed as a wave barrier against an incoming Rayleigh wave. The performance and accuracy of this coupling approach are analyzed and compared with results from literature. Moreover, different materials are tested for the side walls to assess the mitigation efficiency of the trench.

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Section: Numerical Examples 41 Modeling Of a Simple Wall Coupled With...mentioning

confidence: 99%

Section: Numerical Examples 41 Modeling Of a Simple Wall Coupled With...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Implementation of a Timoshenko beam within an elastodynamic halfspace modeled by the Wave Based Method

Lainer,

Müller

2024

J. Phys.: Conf. Ser.

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“…Open or infilled trenches [1,2,3] are often installed to reduce vibrations induced for example by traffic or machinery, which are acting on constructions. Even though pure open trenches are highly effective as wave barriers against incoming Rayleigh waves, their excavation often needs to be stabilized to reach an effective depth.…”

Section: Introductionmentioning

confidence: 99%

Coupling of the Analytical Solution for the Timoshenko Beam With a Fully Saturated Halfspace by Application of the Wave Based Method

Lainer,

Müller

2023

Proceedings of the 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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To model the field response of a fully saturated halfspace coupled with an elastodynamic trench, the Wave Based Method (WBM) is applied. This numerical method represents an indirect Trefftz approach and is based on weighted wave functions to describe field responses. The wave functions are derived from the analytical solutions for the underlying differential equations. This method has firstly been introduced for vibroacoustic problems in the mid-frequency range. Amongst others, the performance of the WBM strongly depends on the relation between the applied excitation frequency and the dimensions of the observed problem. This relation lies about in the same range for a vibroacoustic structure as for a soil halfspace, which permits to use similar wave function sets. Considering a fully saturated poroelastic halfspace, a second irrotational potential is introduced according to Biot's theory. This so-called second P-wave is approximated by an additional set of wave functions, which increases the number of unknowns for the numerical model. To reduce the total number of wave functions, the coupled trench is modeled by a Timoshenko beam. This permits to replace the wave function sets of the original elastodynamic trench by the analytical solution for the Timoshenko beam. Simulation results are used to assess the accuracy and the mitigation efficiency of the wave barrier. 4896COMPDYN 2023 9 th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering M. Papadrakakis, M. Fragiadakis (eds.

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Coupled Itm-Fem Approach for the Assessment of the Mitigation Efficiency of Finite and Infinite Open Trenches and Soft Filled Barriers

Cited by 2 publications

References 17 publications

Implementation of a Timoshenko beam within an elastodynamic halfspace modeled by the Wave Based Method

Implementation of a Timoshenko beam within an elastodynamic halfspace modeled by the Wave Based Method

Coupling of the Analytical Solution for the Timoshenko Beam With a Fully Saturated Halfspace by Application of the Wave Based Method

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