TY  - JOUR
AU  - Francesca
AU  - Freisinger, Julian
AU  - Radišić, Marko
AU  - Taddei, Francesca
AU  - Müller, Gerhard
PY  - 2022
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2452
AB  - The dynamic response of rigid and flexible three-dimensional (3D) foundations of arbitrary shape, placed on a homogeneous or layered halfspace, which may contain a finite, longitudinally invariant structure or inhomogeneity, is determined numerically. A 2.5D coupled Integral Transform Method (ITM) - Finite Element Method (FEM) approach is used to compute the dynamic compliance at the surface of the stratified soil with inclusion, whereas 3D ITM fundamental solutions are applied in case of a homogeneous or layered subgrade. The foundation is modelled by 3D finite elements in both cases and coupled to the underlying ground by enforcing the compatibility conditions at the interface. Compliance functions at the soil foundation interface are presented and compared with existing solutions for verification as well as displacement distributions within the underlying ground are illustrated. The influence of the foundation stiffness on the total response as well as on the frequency dependent power transmission into the soil due to different load types is studied. Finally, the method is applied to evaluate the influence of a tunnel and a stiff cylindrical inclusion on the dynamic response of the foundation, thereby demonstrating the importance of taking into account the Structure-Soil-Structure-Interaction (SSSI).
PB  - Elsevier
T2  - Soil Dynamics and Earthquake Engineering
T1  - Dynamic response of three-dimensional rigid and flexible foundations on layered soils with local inhomogeneities
VL  - 153
DO  - 10.1016/j.soildyn.2021.107007
ER  - 

@article{
author = "Francesca and Freisinger, Julian and Radišić, Marko and Taddei, Francesca and Müller, Gerhard",
year = "2022",
abstract = "The dynamic response of rigid and flexible three-dimensional (3D) foundations of arbitrary shape, placed on a homogeneous or layered halfspace, which may contain a finite, longitudinally invariant structure or inhomogeneity, is determined numerically. A 2.5D coupled Integral Transform Method (ITM) - Finite Element Method (FEM) approach is used to compute the dynamic compliance at the surface of the stratified soil with inclusion, whereas 3D ITM fundamental solutions are applied in case of a homogeneous or layered subgrade. The foundation is modelled by 3D finite elements in both cases and coupled to the underlying ground by enforcing the compatibility conditions at the interface. Compliance functions at the soil foundation interface are presented and compared with existing solutions for verification as well as displacement distributions within the underlying ground are illustrated. The influence of the foundation stiffness on the total response as well as on the frequency dependent power transmission into the soil due to different load types is studied. Finally, the method is applied to evaluate the influence of a tunnel and a stiff cylindrical inclusion on the dynamic response of the foundation, thereby demonstrating the importance of taking into account the Structure-Soil-Structure-Interaction (SSSI).",
publisher = "Elsevier",
journal = "Soil Dynamics and Earthquake Engineering",
title = "Dynamic response of three-dimensional rigid and flexible foundations on layered soils with local inhomogeneities",
volume = "153",
doi = "10.1016/j.soildyn.2021.107007"
}

Francesca, Freisinger, J., Radišić, M., Taddei, F.,& Müller, G.. (2022). Dynamic response of three-dimensional rigid and flexible foundations on layered soils with local inhomogeneities. in Soil Dynamics and Earthquake Engineering
Elsevier., 153.
https://doi.org/10.1016/j.soildyn.2021.107007

Francesca, Freisinger J, Radišić M, Taddei F, Müller G. Dynamic response of three-dimensional rigid and flexible foundations on layered soils with local inhomogeneities. in Soil Dynamics and Earthquake Engineering. 2022;153.
doi:10.1016/j.soildyn.2021.107007 .

Francesca, Freisinger, Julian, Radišić, Marko, Taddei, Francesca, Müller, Gerhard, "Dynamic response of three-dimensional rigid and flexible foundations on layered soils with local inhomogeneities" in Soil Dynamics and Earthquake Engineering, 153 (2022),
https://doi.org/10.1016/j.soildyn.2021.107007 . .

TY  - CONF
AU  - Radišić, Marko
AU  - Petronijević, Mira
AU  - Müller, Gerhard
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2182
AB  - A semi-analytical method deals with vertical vibrations of a massive, flexible rectangular foundation smoothly jointed to an elastic, homogeneous halfspace is presented. The method is based on the solution in frequency domain that represents a combination of the Integral Transform Method (ITM) used for the soil and the Dynamic Stiffness Method (DSM) used for the foundation. The coupling of the foundation and the soil is established using the modal superposition technique. The influence of the foundation mass and the foundation stiffness on the response of the system is analyzed. The accuracy of the results obtained by using the proposed technique is also discussed.
PB  - EASD Procedia
C3  - XI International Conference on Structural Dynamics - EURODYN 2020
T1  - Vibrations of rectangular flexible foundation on halfspace
EP  - 2867
SP  - 2857
DO  - 10.47964/1120.9234.19268
ER  - 

@conference{
author = "Radišić, Marko and Petronijević, Mira and Müller, Gerhard",
year = "2020",
abstract = "A semi-analytical method deals with vertical vibrations of a massive, flexible rectangular foundation smoothly jointed to an elastic, homogeneous halfspace is presented. The method is based on the solution in frequency domain that represents a combination of the Integral Transform Method (ITM) used for the soil and the Dynamic Stiffness Method (DSM) used for the foundation. The coupling of the foundation and the soil is established using the modal superposition technique. The influence of the foundation mass and the foundation stiffness on the response of the system is analyzed. The accuracy of the results obtained by using the proposed technique is also discussed.",
publisher = "EASD Procedia",
journal = "XI International Conference on Structural Dynamics - EURODYN 2020",
title = "Vibrations of rectangular flexible foundation on halfspace",
pages = "2867-2857",
doi = "10.47964/1120.9234.19268"
}

Radišić, M., Petronijević, M.,& Müller, G.. (2020). Vibrations of rectangular flexible foundation on halfspace. in XI International Conference on Structural Dynamics - EURODYN 2020
EASD Procedia., 2857-2867.
https://doi.org/10.47964/1120.9234.19268

Radišić M, Petronijević M, Müller G. Vibrations of rectangular flexible foundation on halfspace. in XI International Conference on Structural Dynamics - EURODYN 2020. 2020;:2857-2867.
doi:10.47964/1120.9234.19268 .

Radišić, Marko, Petronijević, Mira, Müller, Gerhard, "Vibrations of rectangular flexible foundation on halfspace" in XI International Conference on Structural Dynamics - EURODYN 2020 (2020):2857-2867,
https://doi.org/10.47964/1120.9234.19268 . .

TY  - JOUR
AU  - Radišić, Marko
AU  - Petronijević, Mira
AU  - Müller, Gerhard
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2113
AB  - This paper presents a novel method, ITM- DSM, for the soil-foundation interaction problems analysis. It is a semi-numerical method based on the coupling of the Integral Transform Method (ITM) and the Dynamic Stiffness Method (DSM). The stiffness matrix of the soil-foundation system is obtained using the substructure technique. The ITM is used to obtain the solution of the wave propagation in the soil, while the DSM is used to calculate the dynamic stiffness matrix of the foundation. Both methods are operating in the frequency domain what makes them suitable for coupling. The number of numerical operations in the frequency domain is reduced by the application of the modal superposition technique. The analysis of vertical vibrations of flexible foundations resting on the viscoelastic half-space is presented. The formulation of the method could be generalized for horizontal and rocking vibrations. It could be also reduced to the problem of flexible strip foundations of infinite length.
T2  - Scientific Journal of Civil Engineering (SJCE)
T1  - Vertical Vibrations of Rectangular Flexible Foundation on Viscoelastic Halfspace
IS  - 2
VL  - 8
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2113
ER  - 

@article{
author = "Radišić, Marko and Petronijević, Mira and Müller, Gerhard",
year = "2019",
abstract = "This paper presents a novel method, ITM- DSM, for the soil-foundation interaction problems analysis. It is a semi-numerical method based on the coupling of the Integral Transform Method (ITM) and the Dynamic Stiffness Method (DSM). The stiffness matrix of the soil-foundation system is obtained using the substructure technique. The ITM is used to obtain the solution of the wave propagation in the soil, while the DSM is used to calculate the dynamic stiffness matrix of the foundation. Both methods are operating in the frequency domain what makes them suitable for coupling. The number of numerical operations in the frequency domain is reduced by the application of the modal superposition technique. The analysis of vertical vibrations of flexible foundations resting on the viscoelastic half-space is presented. The formulation of the method could be generalized for horizontal and rocking vibrations. It could be also reduced to the problem of flexible strip foundations of infinite length.",
journal = "Scientific Journal of Civil Engineering (SJCE)",
title = "Vertical Vibrations of Rectangular Flexible Foundation on Viscoelastic Halfspace",
number = "2",
volume = "8",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2113"
}

Radišić, M., Petronijević, M.,& Müller, G.. (2019). Vertical Vibrations of Rectangular Flexible Foundation on Viscoelastic Halfspace. in Scientific Journal of Civil Engineering (SJCE), 8(2).
https://hdl.handle.net/21.15107/rcub_grafar_2113

Radišić M, Petronijević M, Müller G. Vertical Vibrations of Rectangular Flexible Foundation on Viscoelastic Halfspace. in Scientific Journal of Civil Engineering (SJCE). 2019;8(2).
https://hdl.handle.net/21.15107/rcub_grafar_2113 .

Radišić, Marko, Petronijević, Mira, Müller, Gerhard, "Vertical Vibrations of Rectangular Flexible Foundation on Viscoelastic Halfspace" in Scientific Journal of Civil Engineering (SJCE), 8, no. 2 (2019),
https://hdl.handle.net/21.15107/rcub_grafar_2113 .

TY  - JOUR
AU  - Radišić, Marko
AU  - Petronijević, Mira
AU  - Müller, Gerhard
PY  - 2017
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1568
AB  - The dynamic response of rigid and flexible foundations on the soil has been subject of extensive study in the past decades. A hybrid method using a combined finite element method (FEM) and boundary element method (BEM) is the most common method used for solving this problem. The objective of this paper is to present an effective frequency domain method to obtain the dynamic response of a flexible strip foundation resting on a viscoelastic halfspace. The foundation is treated with the spectral element method (SEM), while the soil is modelled using the integral transform method (ITM). Both SEM and ITM are based on the analytical solution of the Lame-equations in the frequency domain and therefore are suitable for combining. The solution is obtained in the transformed space-frequency or wavenumber-frequency domain using the Fourier transformation. The study is performed as a 2D plane-strain analysis, assuming that the foundation cross-section behaves as an Euler-Bernoulli beam and that there is no sliding between the foundation and the soil, nor discontinuities in terms of the displacement field. The vertical displacements field of the foundation is described by a set of modal functions corresponding to free vibration mode shapes of a SEM Euler-Bernoulli beam element. The coupling between the foundation and the soil is achieved using the modal soil impedance functions, which are determined by using the ITM. The displacements of the coupled foundation-soil system are solved by the modal superposition method. The accuracy of the proposed method is assessed by comparing the obtained results with the results obtained by a commercial software package SASSI2000. The comparison shows that the presented method is accurate and less costly in terms of computational effort, especially in the high frequency range. The presented method can be easily extended to provide the solution of the response of a flexible strip on a layered halfspace due to a horizontal and vertical excitation.
T2  - Procedia Engineering
T1  - Vibrations of Flexible Strip on Viscoelastic Halfspace
EP  - 2425
SP  - 2420
VL  - 199
DO  - 10.1016/j.proeng.2017.09.314
ER  - 

@article{
author = "Radišić, Marko and Petronijević, Mira and Müller, Gerhard",
year = "2017",
abstract = "The dynamic response of rigid and flexible foundations on the soil has been subject of extensive study in the past decades. A hybrid method using a combined finite element method (FEM) and boundary element method (BEM) is the most common method used for solving this problem. The objective of this paper is to present an effective frequency domain method to obtain the dynamic response of a flexible strip foundation resting on a viscoelastic halfspace. The foundation is treated with the spectral element method (SEM), while the soil is modelled using the integral transform method (ITM). Both SEM and ITM are based on the analytical solution of the Lame-equations in the frequency domain and therefore are suitable for combining. The solution is obtained in the transformed space-frequency or wavenumber-frequency domain using the Fourier transformation. The study is performed as a 2D plane-strain analysis, assuming that the foundation cross-section behaves as an Euler-Bernoulli beam and that there is no sliding between the foundation and the soil, nor discontinuities in terms of the displacement field. The vertical displacements field of the foundation is described by a set of modal functions corresponding to free vibration mode shapes of a SEM Euler-Bernoulli beam element. The coupling between the foundation and the soil is achieved using the modal soil impedance functions, which are determined by using the ITM. The displacements of the coupled foundation-soil system are solved by the modal superposition method. The accuracy of the proposed method is assessed by comparing the obtained results with the results obtained by a commercial software package SASSI2000. The comparison shows that the presented method is accurate and less costly in terms of computational effort, especially in the high frequency range. The presented method can be easily extended to provide the solution of the response of a flexible strip on a layered halfspace due to a horizontal and vertical excitation.",
journal = "Procedia Engineering",
title = "Vibrations of Flexible Strip on Viscoelastic Halfspace",
pages = "2425-2420",
volume = "199",
doi = "10.1016/j.proeng.2017.09.314"
}

Radišić, M., Petronijević, M.,& Müller, G.. (2017). Vibrations of Flexible Strip on Viscoelastic Halfspace. in Procedia Engineering, 199, 2420-2425.
https://doi.org/10.1016/j.proeng.2017.09.314

Radišić M, Petronijević M, Müller G. Vibrations of Flexible Strip on Viscoelastic Halfspace. in Procedia Engineering. 2017;199:2420-2425.
doi:10.1016/j.proeng.2017.09.314 .

Radišić, Marko, Petronijević, Mira, Müller, Gerhard, "Vibrations of Flexible Strip on Viscoelastic Halfspace" in Procedia Engineering, 199 (2017):2420-2425,
https://doi.org/10.1016/j.proeng.2017.09.314 . .