Researching on the Theory of Horizontal Vibration of the Pile in the Radial Inhomogeneous Viscoelastic Saturated Soil

2014 ◽  
Vol 1065-1069 ◽  
pp. 180-189
Author(s):  
Shu Zhen Feng ◽  
Jin Shan Wang ◽  
Hai Cui
Keyword(s):  
Analytical Solution ◽  
Complex Impedance ◽  
Vibration Characteristics ◽  
Saturated Soil ◽  
Horizontal Vibration ◽  
Reasonable Number ◽  
Radial Inhomogeneity

Consideration of radial inhomogeneity of soil, an analytical solution to horizontal vibration of pile in radial inhomogeneous soil is deduced, and the parameters influencing the horizontal vibration characteristics of the pile in radial inhomogeneous soil is analyzed carefully. The number of the radial layers of the inner soil, the thickness of the inner soil, the weakened degree and the ratio of length and radius can obviously affect complex impedance of the top of the pile. Before analyzing horizontal vibration of pile, choice a reasonable number of the radial layers of the inner soil and proper thickness of the inner soil, which is crucial. The more is the weakened degree of the inner soil, the stronger the fluctuations of horizontal vibration of pile are. The ratio of length and radius can influent horizontal vibration of pile within a certain range.

Torsional Vibration of a Pile in Transversely Isotropic Saturated Soil Considering Its Construction Disturbance Effect

2021 ◽  
Author(s):  
Wenjie Ma ◽  
Yao Shan ◽  
Binglong Wang ◽  
Shunhua Zhou
Keyword(s):  
Analytical Solution ◽  
Dynamic Response ◽  
Twist Angle ◽  
Complex Impedance ◽  
Closed Form Solution ◽  
Transversely Isotropic ◽  
Saturated Soil ◽  
Parameter Study ◽  
Present Solution ◽  
Transversely Isotropic Saturated Soil

The torsional dynamic response of a pile embedded in transversely isotropic saturated soil is investigated while allowing for the construction of disturbance effect. The dynamic governing equations of soil are established based on Biot’s poroelastic theory. By virtue of the continuous conditions of stress and displacement of adjacent disturbance circle and the boundary conditions of pile-soil coupling system, the circumferential displacement of soil and the shear stress on pile-soil contact surface are derived. Subsequently, a closed-form solution for the torsional dynamic response of a pile is derived in the frequency domain. By using inverse Fourier transform and the convolution theorem, a quasi-analytical solution for the velocity response of the pile head subjected to a semi-sine excitation torque is derived in the time domain. The proposed analytical solution is verified by comparing with the two existing solutions available in literature. Following the present solution, a parameter study is undertaken to portray the influence on the complex impedance, twist angle and torque of pile.

scholarly journals New Analytical Solutions for Longitudinal Vibration of a Floating Pile in Layered Soils with Radial Heterogeneity

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1294 ◽  
Author(s):  
Zhimeng Liang ◽  
Chunyi Cui ◽  
Kun Meng ◽  
Yu Xin ◽  
Huafu Pei ◽  
...  
Keyword(s):  
Analytical Solution ◽  
Analytical Solutions ◽  
Longitudinal Vibration ◽  
Three Dimensional ◽  
Complex Impedance ◽  
Vibration Characteristics ◽  
Layered Soils ◽  
Transform Method ◽  
Floating Pile ◽  
The Time Domain

Based on the theory of wave propagation in three-dimensional (3D) continuum, a new analytical approach for the longitudinal vibration characteristics of a floating pile in layered soils with radial heterogeneity is developed by employing a viscous-type damping model. Firstly, an analytical solution for the longitudinal complex impedance at the pile head is deduced by employing the Laplace transform and complex stiffness technique with the compatibility conditions of the pile and radially inhomogeneous surrounding soil. Secondly, a semi-analytical solution in the time domain is further acquired by using the inverse Fourier transform method. Furthermore, the corresponding analytical solutions are validated through contrasts with previous solutions. Finally, parametric analyses are underway to investigate the effect of radial heterogeneity of surrounding soils on longitudinal vibration characteristics of floating piles. It is indicated that the proposed approach and corresponding solutions can provide a more wide-ranging application than the simple harmonic vibration for longitudinal vibration analysis of a floating pile in soils.

Torsional Vibration of a Pile Embedded in Saturated Soil Considering Pile Construction Effect

2014 ◽  
Vol 904 ◽  
pp. 377-382
Author(s):  
Zhi Qing Zhang ◽  
Rui Fu Qin
Keyword(s):  
Governing Equation ◽  
Torsional Vibration ◽  
Soil Layer ◽  
Complex Impedance ◽  
Saturated Soil ◽  
Shear Rigidity ◽  
Disturbed Zone ◽  
Radial Inhomogeneity ◽  
Radially Inhomogeneous ◽  
Surrounding Soil

The torsional vibration of an elastic supporting pile embedded in a radially inhomogeneous saturated soil due to construction disturbance is investigated. At first, the composite soil layer is divided into outer semi-infinite undisturbed and inner annular disturbed zones, and the inner disturbed zone is subdivided into N thin concentric annular sub-layers. Then, the complex impedance at the top end of the pile is derived by substituting the available analytical expression for the shear rigidity of the composite soil layer into the governing equation of the pile. Finally, selected numerical results are obtained to analyze the influence of the radial inhomogeneity of the surrounding soil on the torsional vibration characteristics of the pile.

scholarly journals Exact Solution for the Torsional Vibration of an Elastic Pile in a Radially Inhomogeneous Saturated Soil

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Xibin Li ◽  
Zhiqing Zhang ◽  
Jianchao Sheng
Keyword(s):  
Exact Solution ◽  
Torsional Vibration ◽  
Saturated Soil ◽  
Exponential Form ◽  
Soil System ◽  
Time Harmonic ◽  
Radial Inhomogeneity ◽  
Inner Region ◽  
Radially Inhomogeneous ◽  
Mathematical Derivation

An exact solution is proposed to study the time-harmonic torsional vibration of an elastic pile embedded in a radially inhomogeneous saturated soil. The radially inhomogeneous saturated soil is composed of inner disturbed and outer semi-infinite undisturbed concentric annular regions, with the shear modulus of the inner region changing in an exponential form along the radial direction. The governing equation of each region of the saturated soil is solved through rigorous mathematical derivation and the soil torsional impedance is derived with an exact and explicit expression. Making use of the boundary and continuity conditions of the pile-soil system, the torsional complex stiffness at the pile top is obtained in an exact closed form in the frequency domain. Selected numerical results are presented to investigate the influence of the radial inhomogeneity of the surrounding soil on the vibration characteristics of the pile-soil system.

STUDY ON VIBRATION CHARACTERISTICS AND TRANSMISSION PERFORMANCE OF ROUND WINDOW MEMBRANE UNDER INVERSE EXCITATION

2018 ◽  
Vol 18 (03) ◽  
pp. 1850033 ◽  
Author(s):  
WENJUAN YAO ◽  
DUTIN TANG ◽  
YIQIANG CHEN ◽  
BINGTAI LI
Keyword(s):  
Elastic Modulus ◽  
Soft Tissue ◽  
Analytical Solution ◽  
Round Window ◽  
Vibration Characteristics ◽  
Round Window Membrane ◽  
Transmission Performance ◽  
Total Displacement ◽  
The Relationship ◽  
Artificial Prosthesis

According to the vibration characteristics of the round window membrane, a mechanical model that contains round window membrane and the soft tissue is established. The Euler equation of the whole of round window membrane and the soft tissue and the complementary boundary conditions are derived by the variational principle. Combined with the Bessel function, the analytical solution of the total displacement of round window membrane and the soft tissue is obtained by using Mathematica. The results are in good agreement with experimental data, which confirms the validity of the analytical solution of the model. At the same time, the effect of different thicknesses and different elastic modulus of soft tissue on the total displacement of round window membrane and soft tissue is studied by analytical method. The results show that with the thickening of the soft tissue, the total displacement of round window membrane and the soft tissue decreased gradually. However, with the decrease of elastic modulus of the soft tissue, the total displacement of round window membrane and the soft tissue increased gradually. Furthermore, the relationship between thickness and elastic modulus of the soft tissue and the corresponding range selection is achieved, which can evaluate the transmission performance of round window membrane efficiently and provide theoretical basis for the reverse excitation of artificial prosthesis.

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