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

Liang, Zhimeng; Cui, Chunyi; Meng, Kun; Xin, Yu; Pei, Huafu; Li, Haijiang

doi:10.3390/math8081294

Cited by 3 publications

(3 citation statements)

References 34 publications

(40 reference statements)

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“…Many slope stability analysis methods have been proposed [16][17][18][19][20][21], which are divided into traditional analysis methods and numerical analysis methods [22]. In view of the powerful computing power of computers, the numerical analysis method is widely used [23][24][25][26][27], such as the finite element method and discrete element method. e safety factor is usually used to quantify slope stability.…”

Section: Introductionmentioning

confidence: 99%

Sensitivity of Multistage Fill Slope Based on Finite Element Model

Yuan

et al. 2021

Advances in Civil Engineering

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Based on the strength reduction method, the laws of slope displacement and the changing positions of the sliding surface during the filling process are studied. The model of multistage fill slope is established by the finite element software PLAXIS. The difference is compared between the slope with no reinforcement and with reinforcement under the same working condition. Sensitivity analysis is carried out from two aspects which are internal factors and external factors. The finite element analysis shows that the settlement of the multistage fill slope with no reinforcement is mainly concentrated on the right side of the slope and gradually decreases with the increase of the filling height. The position of the sliding outlet is located at the joint of the first and the second grade of the slope. The effect of the reinforcement on the sliding surface is ideal. It is obvious that the reinforcement can supply the slope with a better position of the sliding surface, which is beneficial to the stability of the slope. The sensitivity analysis shows that unit weight, ratio of slope, and height of each grade are negatively correlated with the safety factor. At the same time, the platform width, cohesion, and internal friction angle are positively correlated with the safety factor. The internal friction angle has the greatest influence on the stability of the slope. Besides, the platform width and the height of each grade should be controlled at about 4 m. The sensitivity analysis provides a reference for the design of the multistage filling slope.

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Section: Introductionmentioning

confidence: 99%

Sensitivity of Multistage Fill Slope Based on Finite Element Model

Yuan

et al. 2021

Advances in Civil Engineering

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“…However, the elastic strains in the contact elements make it possible that not all centrifugal force will reduce the clamping force, and even that part of centrifugal force may deform the clamping system [9][10][11][12]. Recently, authors have proposed analytical solutions and mathematical models to study the behavior of components and engineering elements [13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Analysis of the Process Forces Effect on Collet Chuck Holders

et al. 2021

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Chuck holders are widely used for jobs with high precision. A chuck holder consists of a nut with a tapered surface and a thin-slotted clamping sleeve typically made of hardened steel and named a collet. Chuck holders are, essentially, wedge mechanisms. In this paper, we investigated the reactions and strains due to the forces during the chip removal process in the contact elements or jaws of the collet by means of mathematical analysis. Deflections in the jaws of the collet arise with a high influence from the precision of the workpieces. The cutting or process forces cause an axial force, a radial force, a torsional moment, and a bending moment on the chuck collet, and, consequently, displacements and inclinations of the clamping system are caused. Therefore, the proposed analytical models are based on elasticity and contact theories. The mathematical model for determining the deflections of the clamping system force was developed and implemented using MATLAB. The results showed that the variation in the clamping force during rotation in a collet chuck holder mainly depends on the stiffness of the collet chuck holder and the stiffness of the workpiece. The results indicated that the collet should be vulcanized to minimize the deformations that affect the final product. The deflections of a collet chuck holder due to process forces depend strongly on the clearances, wedge angle, and stiffness of the collet.

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“…The theory of the pile-soil interaction has played an important role in seismic design and dynamic design of foundation [1][2][3]. Many scholars have established lots of simplified computational models in combination with the knowledge of mathematics and mechanics to explore the longitudinal vibration characteristics of pipe piles in the complex geological conditions [4][5][6][7][8][9][10][11][12][13][14]. Based on the one-dimensional (1D) theoretical model, Randolph et al [15,16] first proposed a new pile-soil coupling vibration model for the thin-wall pipe piles by taking soil plug into account, and then verified the rationality of the model by the experimental and numerical methods.…”

Section: Introductionmentioning

confidence: 99%

An Analytical Method for the Longitudinal Vibration of a Large-Diameter Pipe Pile in Radially Heterogeneous Soil Based on Rayleigh–Love Rod Model

et al. 2020

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Based on the Rayleigh–Love rod model and Novak’s plane-strain theory, an analytical method for the longitudinal vibration of a large-diameter pipe pile in radially heterogeneous soil is proposed. Firstly, the governing equations of the pile-soil system are established by taking both the construction disturbance effect and transverse inertia effect into account. Secondly, the analytical solution of longitudinal dynamic impedance at the pile top can be achieved by using Laplace transform and complex stiffness transfer techniques. Thirdly, the present analytical solution for dynamic impedance can also be performed in contrast with the existing solution to examine the correctness of the analytical method in this work. Further, the effect of pile Poisson’s ratio, pile diameter ratio as well as soil disturbed degree on the dynamic impedance are investigated. The results demonstrate that the Rayleigh–Love rod is appropriate for simulating the vibration of a large-diameter pipe pile in heterogeneous soils.

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

Cited by 3 publications

References 34 publications

Sensitivity of Multistage Fill Slope Based on Finite Element Model

Sensitivity of Multistage Fill Slope Based on Finite Element Model

Mathematical Analysis of the Process Forces Effect on Collet Chuck Holders

An Analytical Method for the Longitudinal Vibration of a Large-Diameter Pipe Pile in Radially Heterogeneous Soil Based on Rayleigh–Love Rod Model

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