Dynamic Response of a Rigid Foundation Subjected to a Distance Blast

2014 ◽  
pp. 143-151
Author(s):  
Hamid R. Hamidzadeh ◽  
Liming Dai ◽  
Reza N. Jazar
Keyword(s):  
Dynamic Response ◽  
Rigid Foundation

Dynamic Response of 3D Surface/Embedded Rigid Foundations of Arbitrary Shapes on Multi-Layered Soils in Time Domain

2019 ◽  
Vol 19 (09) ◽  
pp. 1950106 ◽  
Author(s):  
Zejun Han ◽  
Mi Zhou ◽  
Xiaowen Zhou ◽  
Linqing Yang
Keyword(s):  
Dynamic Response ◽  
Frequency Domain ◽  
Time Domain ◽  
Dynamic Stiffness ◽  
Dynamic Responses ◽  
Rigid Foundation ◽  
Layered Soils ◽  
Stiffness Matrices ◽  
The Time Domain ◽  
Arbitrary Shapes

Significant differences between the predicted and measured dynamic response of 3D rigid foundations on multi-layered soils in the time domain were identified due to the existence of uncertainties, which makes the issue a complicated one. In this study, a numerical method was developed to determine the dynamic responses of 3D rigid surfaces and embedded foundations of arbitrary shapes that are bonded to a multi-layered soil in the time domain. First, the dynamic stiffness matrices of the rigid foundations in the frequency domain are calculated via integral domain transformation. Secondly, a dynamic stiffness equation for rigid foundations in the time domain is established via the mixed variables formulation, which is based on the discrete dynamic stiffness matrices in the frequency domain. The proposed method can be applied to the treatment of systems with multiple degrees of freedom without losing the true information that concerns the coupling characteristics. Numerical examples are presented to demonstrate the accuracy of the proposed method for predicting the horizontal, vertical, rocking, and torsional vibrations. Further, a parametric study was carried out to provide insight into the dynamic behavior of the soil–foundation interaction (SFI) while considering soil nonhomogeneity. The results indicate that the elastic modulus of the soil has a significant impact on the dynamic responses of the rigid foundation. Finally, a numerical example of a rigid foundation resting on a six-layered, semi-infinite soil demonstrates that the proposed method can be used to deal with multi-layered media in the time domain in a relatively easy way.

Vertical dynamic response of a rigid foundation embedded in a poroelastic soil layer

2009 ◽  
Vol 33 (11) ◽  
pp. 1363-1388 ◽  
Author(s):  
Y. Q. Cai ◽  
X. Q. Hu ◽  
C. J. Xu ◽  
Z. S. Hong
Keyword(s):  
Dynamic Response ◽  
Soil Layer ◽  
Rigid Foundation ◽  
Poroelastic Soil

scholarly journals A Mathematical Model for Forced Vibration of Pre-Stressed Piezoelectric Plate-Strip Resting On Rigid Foundation

MATEMATIKA ◽  
2018 ◽  
Vol 34 (2) ◽  
pp. 419-431
Author(s):  
Ahmet Daşdemir
Keyword(s):  
Mathematical Model ◽  
Dynamic Response ◽  
Initial Stress ◽  
Piezoelectric Plate ◽  
Equations Of Motion ◽  
Three Dimensional ◽  
Rigid Foundation ◽  
Time Harmonic ◽  
Governing System ◽  
Plate Strip

A mathematical model to investigate the dynamic response of a piezoelectric plate-strip with initial stress under the action of a time-harmonic force resting on a rigid foundation is presented within the scope of the three-dimensional linearized theory of electro-elasticity waves in initially stressed bodies (TLTEEWISB). The governing system of equations of motion is solved by employing the Finite Element Method (FEM). The numerical results illustrating the dependencies of different problem parameters are investigated. In particular, the influence of a change in the value of the initial stress parameter on the dynamic response of the plate-strip is discussed.

Dynamic response of a bi-axially pre-stressed bi-layered plate resting on a rigid foundation under a harmonic force

2019 ◽  
Vol 234 (3) ◽  
pp. 784-795
Author(s):  
Ahmet Daşdemir
Keyword(s):  
Mathematical Model ◽  
Dynamic Response ◽  
Three Dimensional ◽  
Dimensionless Frequency ◽  
Rigid Foundation ◽  
Layered Plate ◽  
Harmonic Force ◽  
Time Harmonic ◽  
Linearized Theory ◽  
Complete Contact

This study aims to investigate the forced vibrations caused by a time-harmonic force from a pre-stressed bi-layered plate resting on a rigid foundation under the action of a time-harmonic pointwise loading. Our investigation was conducted according to a piecewise homogeneous body model utilizing the three-dimensional linearized theory of elastic waves in initially stressed bodies. Throughout this study, we assumed that there is complete contact between the plate and the rigid foundation. The purpose of this study is threefold: the development of a mathematical model to investigate the dynamic response of the pre-stressed bi-layered plate, the analysis of the frequency response of the plate under consideration, and finally, demonstrating the relationship between the initial stress and the dimensionless frequency of the plate. We solved the mathematical model by employing the finite element method. We present our numerical results on the dynamic behavior of the plate. In particular, we have shown that an increase in the values of the aspect ratio of a plate under fixed thickness leads to a decrease in the normal stress resonance values.

Dynamic Response of a Rigid Foundation Subjected to a Distance Blast

2012 ◽  
Author(s):  
Deji Ojetola ◽  
Hamid R. Hamidzadeh
Keyword(s):  
Dynamic Response ◽  
Half Space ◽  
Integral Transform ◽  
Numerical Technique ◽  
Formal Solution ◽  
Elastic Half Space ◽  
Numerical Results ◽  
Rigid Foundation ◽  
Transform Method

Blasts and explosions occur in many activities that are either man-made or nature induced. The effect of the blasts could have a residual or devastating effect on the buildings at some distance within the vicinity of the explosion. In this investigation, an analytical solution for the time response of a rigid foundation subjected to a distant blast is considered. The medium is considered to be an elastic half space. A formal solution to the wave propagations on the medium is obtained by the integral transform method. To achieve numerical results for this case, an effective numerical technique has been developed for calculation of the integrals represented in the inversion of the transformed relations. Time functions for the vertical and radial displacements of the surface of the elastic half space due to a distant blast load are determined. Mathematical procedures for determination of the dynamic response of the surface of an elastic half-space subjected to the blast along with numerical results for displacements of a rigid foundation are provided.

scholarly journals Dynamic response analysis of the integrated station-bridge elevated station under the pile-soil interaction

2020 ◽  
Vol 165 ◽  
pp. 04081
Author(s):  
Shuqi Zhang ◽  
Jin Li ◽  
Jingyuan Li ◽  
Jiaolei Zhang
Keyword(s):  
Dynamic Response ◽  
Interaction Model ◽  
Dynamic Responses ◽  
Response Analysis ◽  
Transverse Displacement ◽  
Rigid Foundation ◽  
Base Shear ◽  
Maximum Displacement ◽  
Finite Element Software ◽  
Mechanical Models

In order to study the dynamic response of the integrated station-bridge structure under the pile-soil interaction, a model was established by finite element software for dynamic analysis. According to a practical project, two mechanical models are established: one is the pile-soil interaction model, the other is the rigid foundation model. The dynamic responses of the two models were analyzed respectively, and then the results were compared. The results show that: the structure with pile-soil interaction has a longer period and higher flexibility; Under the action of frequently occurred earthquakes, the maximum displacement of the structure with pile-soil interaction increases and the base shear decreases; Under the action of seldomly occurred earthquakes, the structural displacement and base shear under the pile-soil interaction become larger, and the transverse displacement is more affected than the longitudinal displacement. It is concluded that: the assumption of rigid foundation makes the result more conservative, and the influence of pile-soil interaction cannot be ignored in seismic response analysis.

The Effect to Structure due to SSI

2012 ◽  
Vol 188 ◽  
pp. 112-118 ◽  
Author(s):  
Shou Ping Shang ◽  
Wan Ruo Chen ◽  
Xi La Liu
Keyword(s):  
Dynamic Response ◽  
Soil Structure ◽  
Steel Frame ◽  
Soil Structure Interaction ◽  
Rigid Foundation ◽  
Vibration Period ◽  
Peak Displacement ◽  
Structure Interaction ◽  
Finite Element Software ◽  
Soil Bin

In order to understand the soil-structure interaction, we were doing the excitation test about 1:4 scaled steel frame-raft foundation model in the soil bin. The test was through changing the stiffness of the superstructure respectively. We inputting Gaussian white noise measured vibration period, dynamic response with EL and Taft wave show the shock absorption effect of the soil. Finite element software sap2000 simulated rigid foundation on the dynamic response analysis on the steel frames. We found that there are some differences about the natural period, the upper structural stiffness greater the additional period is longer. Soil has a shock absorbing effect with the steel frame, the effect mainly come from the change of structure stiffness. Because of the soil-structure interaction, peak acceleration of the top storey is reducer when steel framework excitation on the soil bin than on rigid foundation, and peak displacement of the top storey is increased.

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