Analytical Prediction of Tunnel Deformation Beneath an Inclined Plane: Complex Potential Analysis
نویسندگان
چکیده
When excavating a tunnel, the stresses are distributed asymmetrically along tunnel cross-section. Other factors, particularly slope friction force and excavation speed, can also contribute to deformation displacement of tunnel. Despite this, several authors have used complex potential method predict ground surrounding However, their applicability response caused by asymmetric stress distribution around wall is analysed in this context. This paper, therefore, proposes an approximate solution on cross-section deformation. The based analytically numerically two variables called “complex functions” for Laurent series expansion redistribution boundary conditions. Data from Qijiazhuang case justify proposed analytical solutions. essential guide analyzing deformations geological conditions structures, such as steeper slopes.
منابع مشابه
Unsteady granular flows down an inclined plane.
The continuum description of granular flows is still a challenge despite their importance in many geophysical and industrial applications. We extend previous works, which have explored steady flow properties, by focusing on unsteady flows accelerating or decelerating down an inclined plane in the simple shear configuration. We solve the flow kinematics analytically, including predictions of evo...
متن کاملOptimizing snake locomotion on an inclined plane.
We develop a model to study the locomotion of snakes on inclined planes. We determine numerically which snake motions are optimal for two retrograde traveling-wave body shapes, triangular and sinusoidal waves, across a wide range of frictional parameters and incline angles. In the regime of large transverse friction coefficients, we find power-law scalings for the optimal wave amplitudes and co...
متن کاملAnalytical analysis of ultimate ground pressure on tunnel support system
The ground reaction curve (GRC) is a vital component of the convergence-confinement method, which possesses many applications in the underground space designs. It defines a relation between the tunnel wall deformations and the ground pressure acting on the tunnel walls. Generally, GRC includes descending and ascending branches. According to many researchers, the descending branch trend for the ...
متن کاملLiquid Drops sliding down an inclined plane
We investigate a one-dimensional model describing the motion of liquid drops sliding down an inclined plane (the so-called quasi-static approximation model). We prove existence and uniqueness of a solution and investigate its long time behavior for both homogeneous and inhomogeneous medium (i.e. constant and non-constant contact angle). We also obtain some homogenization results.
متن کاملan infinite planar array of rectangular microstrip patch antenna analysis
the methods which are used to analyze microstrip antennas, are divited into three categories: empirical methods, semi-empirical methods and full-wave analysis. empirical and semi-empirical methods are generally based on some fundamental simplifying assumptions about quality of surface current distribution and substrate thickness. thses simplificatioms cause low accuracy in field evaluation. ful...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied sciences
سال: 2023
ISSN: ['2076-3417']
DOI: https://doi.org/10.3390/app13053252